138778540572672000000
138,778,540,572,672,000,000 is an even composite number composed of seven prime numbers multiplied together.
138778540572672000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-eight thousand, six hundred forty divisors.
Prime factorization of 138778540572672000000:
222 × 34 × 56 × 73 × 11 × 132 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 13 × 41)See below for interesting mathematical facts about the number 138778540572672000000 from the Numbermatics database.
Names of 138778540572672000000
- Cardinal: 138778540572672000000 can be written as One hundred thirty-eight quintillion, seven hundred seventy-eight quadrillion, five hundred forty trillion, five hundred seventy-two billion, six hundred seventy-two million.
Scientific notation
- Scientific notation: 1.38778540572672 × 1020
Factors of 138778540572672000000
Divisors of 138778540572672000000
- Number of divisors d(n): 38640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 39 40 41 42 44 45 48 49 50 52 54 55 56 60 63 64 65 66 70 72 75 77 78 80 81 82 84 88 90 91 96 98 99 100 104 105 108 110 112 117 120 123 125 126 128 130 132 135 140 143 144 147 150 154 156 160 162 164 165 168 169 175 176 180 182 189 192 195 196 198 200 205 208 210 216 220 224 225 231 234 240 245 246 250 252 256 260 264 270 273 275 280 286 287 288 294 297 300 308 312 315 320 324 325 328 330 336 338 343 350 351 352 360 364 369 375 378 384 385 390 392 396 400 405 410 416 420 429 432 440 441 448 450 451 455 462 468 480 490 492 495 500 504 507 512 520 525 528 533 539 540 546 550 560 567 572 574 576 585 588 594 600 615 616 624 625 630 637 640 648 650 656 660 672 675 676 686 693 700 702 704 715 720 728 735 738 750 756 768 770 780 784 792 800 810 819 820 825 832 840 845 858 861 864 875 880 882 891 896 900 902 910 924 936 945 960 975 980 984 990 1000 1001 1008 1014 1024 1025 1029 1040 1050 1053 1056 1066 1078 1080 1092 1100 1107 1120 1125 1134 1144 1148 1152 1155 1170 1176 1183 1188 1200 1225 1230 1232 1248 1250 1260 1274 1280 1287 1296 1300 1312 1320 1323 1344 1350 1352 1353 1365 1372 1375 1386 1400 1404 1408 1430 1435 1440 1456 1470 1476 1485 1500 1512 1521 1536 1540 1560 1568 1575 1584 1599 1600 1617 1620 1625 1638 1640 1650 1664 1680 1690 1715 1716 1722 1728 1750 1755 1760 1764 1782 1792 1800 1804 1820 1845 1848 1859 1872 1875 1890 1911 1920 1925 1950 1960 1968 1980 2000 2002 2009 2016 2025 2028 2048 2050 2058 2079 2080 2100 2106 2112 2132 2145 2156 2160 2184 2200 2205 2214 2240 2250 2255 2268 2275 2288 2296 2304 2310 2340 2352 2366 2376 2400 2450 2457 2460 2464 2475 2496 2500 2520 2535 2548 2560 2574 2583 2592 2600 2624 2625 2640 2646 2665 2688 2695 2700 2704 2706 2730 2744 2750 2772 2800 2808 2816 2835 2860 2870 2880 2912 2925 2940 2952 2970 3000 3003 3024 3042 3072 3075 3080 3087 3120 3125 3136 3150 3157 3168 3185 3198 3200 3234 3240 3250 3276 3280 3300 3321 3328 3360 3375 3380 3430 3432 3444 3456 3465 3500 3510 3520 3528 3549 3564 3575 3584 3600 3608 3640 3675 3690 3696 3718 3731 3744 3750 3773 3780 3822 3840 3850 3861 3900 3920 3936 3960 3969 4000 4004 4018 4032 4050 4056 4059 4095 4096 4100 4116 4125 4158 4160 4200 4212 4224 4225 4264 4290 4305 4312 4320 4368 4375 4400 4410 4428 4455 4459 4480 4500 4510 4536 4550 4563 4576 4592 4608 4620 4680 4704 4725 4732 4752 4797 4800 4851 4875 4900 4914 4920 4928 4950 4992 5000 5005 5040 5070 5096 5120 5125 5145 5148 5166 5184 5200 5248 5250 5265 5280 5292 5330 5376 5390 5400 5408 5412 5460 5488 5500 5535 5544 5577 5600 5616 5625 5632 5670 5720 5733 5740 5760 5775 5824 5850 5863 5880 5904 5915 5940 6000 6006 6027 6048 6084 6125 6144 6150 6160 6174 6237 6240 6250 6272 6300 6314 6336 6370 6396 6400 6435 6468 6480 6500 6552 6560 6600 6615 6642 6656 6720 6750 6760 6765 6825 6860 6864 6875 6888 6912 6929 6930 7000 7007 7020 7040 7056 7098 7128 7150 7168 7175 7200 7216 7280 7350 7371 7380 7392 7425 7436 7462 7488 7500 7546 7560 7605 7644 7680 7700 7722 7749 7800 7840 7872 7875 7920 7938 7995 8000 8008 8036 8064 8085 8100 8112 8118 8125 8190 8192 8200 8232 8250 8281 8316 8320 8400 8424 8448 8450 8528 8575 8580 8610 8624 8640 8736 8750 8775 8800 8820 8856 8910 8918 8960 9000 9009 9020 9072 9100 9126 9152 9184 9216 9225 9240 9261 9295 9360 9375 9408 9450 9464 9471 9504 9555 9594 9600 9625 9702 9750 9800 9828 9840 9856 9900 9984 10000 10010 10045 10080 10125 10140 10192 10240 10250 10290 10296 10332 10368 10395 10400 10496 10500 10530 10560 10584 10647 10660 10725 10752 10780 10800 10816 10824 10920 10976 11000 11025 11070 11088 11154 11193 11200 11232 11250 11264 11275 11319 11340 11375 11440 11466 11480 11520 11550 11583 11648 11700 11726 11760 11808 11830 11880 12000 12012 12054 12096 12168 12177 12250 12285 12288 12300 12320 12348 12375 12474 12480 12500 12544 12600 12628 12672 12675 12740 12792 12800 12870 12915 12936 12960 13000 13013 13104 13120 13125 13200 13230 13284 13312 13325 13377 13440 13475 13500 13520 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31850 31941 31980 32000 32032 32144 32175 32256 32340 32400 32448 32472 32500 32760 32768 32800 32928 33000 33075 33124 33210 33264 33280 33462 33579 33600 33696 33750 33792 33800 33825 33957 34112 34125 34300 34320 34375 34398 34440 34496 34560 34645 34650 34944 35000 35035 35100 35178 35200 35280 35424 35490 35640 35672 35750 35840 35875 36000 36036 36080 36162 36288 36400 36504 36531 36608 36736 36750 36855 36864 36900 36960 37044 37125 37180 37310 37440 37500 37632 37730 37800 37856 37884 38016 38025 38220 38376 38400 38500 38610 38745 38808 39000 39039 39200 39312 39360 39375 39424 39600 39690 39936 39975 40000 40040 40131 40180 40320 40425 40500 40560 40590 40625 40768 40950 40960 41000 41041 41160 41184 41250 41328 41405 41472 41574 41580 41600 41984 42000 42042 42120 42189 42240 42250 42336 42588 42640 42875 42900 43008 43050 43120 43173 43200 43264 43296 43659 43680 43750 43875 43904 44000 44100 44198 44280 44352 44550 44590 44616 44772 44800 44928 45000 45045 45056 45100 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63063 63140 63360 63375 63504 63700 63882 63960 64000 64064 64288 64350 64512 64575 64680 64800 64896 64944 65000 65065 65520 65536 65600 65625 65856 66000 66150 66248 66297 66420 66528 66560 66625 66885 66924 67158 67200 67375 67392 67500 67584 67600 67650 67914 68224 68250 68445 68600 68640 68750 68796 68880 68992 69120 69290 69300 69888 70000 70070 70200 70315 70356 70400 70560 70848 70875 70980 71280 71344 71500 71680 71750 71955 72000 72072 72160 72324 72576 72765 72800 73008 73062 73125 73216 73472 73500 73710 73728 73800 73920 74088 74250 74360 74529 74620 74880 75000 75075 75264 75460 75600 75712 75768 76032 76050 76219 76440 76752 76800 76875 77000 77175 77220 77490 77616 78000 78078 78351 78400 78624 78720 78750 78848 78925 79200 79380 79625 79872 79950 80000 80080 80262 80360 80640 80850 81000 81081 81120 81180 81250 81536 81900 81920 82000 82082 82320 82368 82500 82656 82810 82944 83025 83148 83160 83200 83655 83968 84000 84084 84240 84375 84378 84480 84500 84672 85176 85239 85280 85750 85800 85995 86016 86100 86240 86346 86400 86528 86592 86625 87318 87360 87500 87750 87808 87945 88000 88200 88396 88560 88704 88725 89100 89180 89232 89375 89544 89600 89856 90000 90090 90112 90200 90405 90552 90720 91000 91091 91260 91520 91728 91840 91875 92160 92250 92400 92610 92664 92950 92988 93184 93275 93600 93750 93808 94080 94325 94464 94500 94640 94710 95040 95550 95823 95940 96000 96096 96250 96432 96525 96768 97006 97020 97344 97416 97500 98000 98098 98280 98304 98400 98560 98784 99000 99225 99372 99792 99840 100000 100100 100352 100386 100450 100737 100800 101024 101250 101376 101400 101475 101871 101920 102336 102375 102400 102500 102900 102960 103125 103194 103320 103488 103680 103935 103950 104000 104104 104468 104832 104960 105000 105105 105300 105534 105600 105625 105840 106272 106470 106496 106600 107016 107250 107520 107625 107800 108000 108108 108160 108240 108486 109200 109375 109512 109760 109824 110000 110208 110250 110495 110592 110700 110864 110880 111132 111375 111475 111540 111930 112000 112112 112320 112500 112504 112640 112750 112896 113190 113400 113568 113652 113750 114048 114075 114400 114660 114688 114800 115128 115200 115456 115500 115830 115934 116235 116424 116480 117000 117117 117260 117600 117936 118080 118125 118272 118300 118800 118976 119392 119808 119925 120000 120120 120393 120540 120736 120960 121275 121680 121770 121875 122304 122500 122850 122880 123000 123123 123200 123480 123552 123750 123984 124215 124722 124740 124800 125000 125125 125440 125952 126000 126126 126280 126567 126720 126750 127008 127400 127764 127920 128000 128125 128128 128576 128625 128700 129024 129150 129360 129600 129792 129888 130000 130130 130585 131040 131072 131200 131250 131625 131712 132000 132300 132496 132594 132840 133056 133120 133250 133770 133848 134316 134400 134750 134784 135000 135135 135168 135200 135300 135828 136448 136500 136890 137200 137280 137500 137592 137760 137984 138240 138375 138580 138600 138915 139425 139776 140000 140140 140400 140625 140630 140712 140800 141120 141696 141750 141960 142065 142560 142688 143000 143325 143360 143500 143910 144000 144144 144320 144375 144648 145152 145509 145530 145600 146016 146124 146250 146432 146575 146944 147000 147147 147420 147456 147600 147840 147875 148176 148500 148720 149058 149240 149760 150000 150150 150528 150579 150675 150920 151200 151424 151536 152064 152100 152438 152880 153125 153504 153600 153750 154000 154350 154440 154693 154980 155232 155925 156000 156156 156702 156800 157248 157440 157500 157696 157850 158301 158400 158760 159250 159705 159744 159900 160000 160160 160524 160720 160875 161280 161700 162000 162162 162240 162360 162500 162729 163072 163800 163840 164000 164164 164640 164736 165000 165312 165375 165620 165888 166050 166296 166320 166400 167310 167895 167936 168000 168168 168480 168750 168756 168960 169000 169125 169344 169785 170352 170478 170560 170625 171500 171600 171875 171990 172032 172200 172480 172692 172800 173056 173184 173225 173250 173901 174636 174720 175000 175175 175500 175616 175890 176000 176400 176792 177120 177408 177450 178200 178360 178464 178750 179088 179200 179375 179712 180000 180180 180224 180400 180810 181104 181440 182000 182182 182520 182655 182819 183040 183456 183680 183750 184275 184320 184500 184800 185220 185328 185625 185900 185976 186368 186550 187083 187200 187500 187616 188160 188650 188928 189000 189189 189280 189420 190080 190125 191100 191646 191880 192000 192192 192500 192864 193050 193536 193725 194012 194040 194688 194832 195000 195195 196000 196196 196560 196608 196800 196875 197120 197568 198000 198450 198744 198891 199584 199680 199875 200000 200200 200655 200704 200772 200900 201474 201600 202048 202125 202500 202752 202800 202950 203125 203742 203840 204672 204750 204800 205000 205205 205800 205920 206250 206388 206640 206976 207025 207360 207870 207900 208000 208208 208936 209664 209920 210000 210210 210600 210945 211068 211200 211250 211680 212544 212940 212992 213200 214032 214375 214500 215040 215250 215600 215865 216000 216216 216320 216480 216972 218295 218400 218750 219024 219375 219520 219648 220000 220416 220500 220990 221184 221400 221728 221760 222264 222750 222950 223080 223587 223860 224000 224224 224640 225000 225008 225225 225280 225500 225792 226380 226800 227136 227304 227500 228096 228150 228657 228800 229320 229376 229600 230256 230400 230625 230912 231000 231525 231660 231868 232375 232470 232848 232960 234000 234234 234520 235053 235200 235872 236160 236250 236544 236600 236775 237600 237952 238784 238875 239616 239850 240000 240240 240625 240786 241080 241472 241920 242515 242550 243360 243540 243750 244608 245000 245245 245700 245760 246000 246246 246400 246960 247104 247500 247968 248430 249444 249480 249600 250000 250250 250880 250965 251125 251904 252000 252252 252560 253125 253134 253440 253500 254016 254800 255528 255717 255840 256000 256250 256256 257152 257250 257400 257985 258048 258300 258720 259200 259584 259776 259875 260000 260260 261170 262080 262144 262400 262500 263250 263424 263835 264000 264600 264992 265188 265680 266112 266175 266240 266500 267540 267696 268125 268632 268800 269500 269568 270000 270270 270336 270400 270600 271215 271656 272896 273000 273273 273780 274400 274560 275000 275184 275520 275625 275968 276480 276750 277160 277200 277830 278850 279552 279825 280000 280280 280800 281250 281260 281424 281600 281875 282240 282975 283392 283500 283920 284130 284375 285120 285376 286000 286650 286720 287000 287287 287820 288000 288288 288640 288750 289296 289575 289835 290304 291018 291060 291200 292032 292248 292500 292864 293150 293888 294000 294294 294840 294912 295200 295680 295750 296352 297000 297440 298116 298480 299520 300000 300300 301056 301158 301350 301840 302211 302400 302848 303072 304128 304200 304425 304876 305613 305760 306250 307008 307125 307200 307500 308000 308700 308880 309375 309386 309960 310464 311805 311850 312000 312312 313404 313600 314496 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375375 376320 377300 377856 378000 378378 378560 378840 379701 380160 380250 381095 382200 383292 383760 384000 384375 384384 385000 385728 385875 386100 387072 387450 388024 388080 389376 389664 390000 390390 391755 392000 392392 393120 393216 393600 393750 394240 394625 395136 396000 396900 397488 397782 398125 399168 399360 399750 400000 400400 401310 401408 401544 401800 402948 403200 404096 404250 405000 405405 405504 405600 405900 406250 407484 407680 409344 409500 409600 410000 410410 411600 411840 412500 412776 413280 413952 414050 414720 415125 415740 415800 416000 416416 417872 418275 419328 419840 420000 420420 421200 421875 421890 422136 422400 422500 423360 425088 425880 425984 426195 426400 428064 428750 429000 429975 430080 430500 431200 431730 432000 432432 432640 432960 433125 433944 436527 436590 436800 437500 438048 438750 439040 439296 439725 440000 440832 441000 441441 441980 442368 442800 443456 443520 443625 444528 445500 445900 446160 446875 447174 447720 448000 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532224 532350 532480 533000 533533 535080 535392 536250 537264 537600 538125 539000 539136 540000 540540 540672 540800 541200 542430 543312 545792 546000 546546 547560 548457 548800 549120 550000 550368 551040 551250 551936 552475 552960 553500 554320 554400 555660 556875 557375 557700 559104 559650 560000 560560 561249 561600 562500 562520 562848 563200 563750 564480 565950 566784 567000 567567 567840 568260 568750 570240 570375 570752 572000 573300 573440 574000 574574 575640 576000 576576 577280 577500 578592 579150 579670 580608 581175 582036 582120 582400 584064 584496 585000 585585 585728 586300 587776 588000 588588 589680 589824 590400 590625 591360 591500 592704 594000 594880 596232 596673 596960 599040 599625 600000 600600 601965 602112 602316 602700 603680 604422 604800 605696 606144 606375 608256 608400 608850 609375 609752 611226 611520 612500 614016 614250 614400 615000 615615 616000 617400 617760 618750 618772 619920 620928 621075 623610 623700 624000 624624 625625 626808 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901159354368000000 925190270484480000 944071704576000000 963739865088000000 970479304704000000 991275289804800000 1027989189427200000 1051352580096000000 1067527235174400000 1084207348224000000 1101416988672000000 1110228324581376000 1128280817664000000 1156487838105600000 1186141372416000000 1239094112256000000 1261623096115200000 1284986486784000000 1321700386406400000 1334409043968000000 1387785405726720000 1401803440128000000 1416107556864000000 1445609797632000000 1525038907392000000 1541983784140800000 1577028870144000000 1652125483008000000 1692421226496000000 1713315315712000000 1734731757158400000 1779212058624000000 1802318708736000000 1850380540968960000 1927479730176000000 1982550579609600000 2102705160192000000 2135054470348800000 2168414696448000000 2202833977344000000 2312975676211200000 2478188224512000000 2523246192230400000 2569972973568000000 2668818087936000000 2775570811453440000 2832215113728000000 2891219595264000000 3083967568281600000 3154057740288000000 3304250966016000000 3384842452992000000 3469463514316800000 3558424117248000000 3854959460352000000 3965101159219200000 4205410320384000000 4336829392896000000 4625951352422400000 4956376449024000000 5139945947136000000 5337636175872000000 5551141622906880000 5782439190528000000 6308115480576000000 6608501932032000000 6938927028633600000 7709918920704000000 8673658785792000000 9251902704844800000 9912752898048000000 10675272351744000000 11564878381056000000 12616230961152000000 13877854057267200000 15419837841408000000 17347317571584000000 19825505796096000000 23129756762112000000 27755708114534400000 34694635143168000000 46259513524224000000 69389270286336000000 138778540572672000000
- Sum of all divisors σ(n): 731377029658127529600
- Sum of proper divisors (its aliquot sum) s(n): 592598489085455529600
- 138778540572672000000 is an abundant number, because the sum of its proper divisors (592598489085455529600) is greater than itself. Its abundance is 453819948512783529600
Bases of 138778540572672000000
- Binary: 11110000101111100000110101101011110111000010100000000000000000000002
- Hexadecimal: 0x785F06B5EE1400000
- Base-36: TADH2VX9UKG00
Squares and roots of 138778540572672000000
- 138778540572672000000 squared (1387785405726720000002) is 19259483323480768445713219584000000000000
- 138778540572672000000 cubed (1387785405726720000003) is 2672802987816375596798528499910408245608448000000000000000000
-
The
square root of 138778540572672000000 is 11780430406.9364121005 -
The
cube root of 138778540572672000000 is 5177348.9683699521
Scales and comparisons
How big is 138778540572672000000?- 138,778,540,572,672,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,778,540,572,672,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138778540572672000000 cubic inches would be around 431445.7 feet tall.
Recreational maths with 138778540572672000000
- 138778540572672000000 backwards is 000000276275045877831
- 138778540572672000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138778540572672000000's digits is 72
- More coming soon!
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The information we have on file for 138778540572672000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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