138480350400
138,480,350,400 is an even composite number composed of six prime numbers multiplied together.
138480350400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138480350400:
26 × 32 × 52 × 73 × 232 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 23 × 23 × 53)See below for interesting mathematical facts about the number 138480350400 from the Numbermatics database.
Names of 138480350400
- Cardinal: 138480350400 can be written as One hundred thirty-eight billion, four hundred eighty million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.384803504 × 1011
Factors of 138480350400
Divisors of 138480350400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 42 45 46 48 49 50 53 56 60 63 64 69 70 72 75 80 84 90 92 96 98 100 105 106 112 115 120 126 138 140 144 147 150 159 160 161 168 175 180 184 192 196 200 207 210 212 224 225 230 240 245 252 265 276 280 288 294 300 315 318 320 322 336 343 345 350 360 368 371 392 400 414 420 424 441 448 450 460 477 480 483 490 504 525 529 530 552 560 575 576 588 600 630 636 644 672 686 690 700 720 735 736 742 784 795 800 805 828 840 848 882 900 920 954 960 966 980 1008 1029 1035 1050 1058 1060 1104 1113 1120 1127 1150 1176 1200 1219 1225 1260 1272 1288 1325 1344 1372 1380 1400 1440 1449 1470 1472 1484 1568 1575 1587 1590 1600 1610 1656 1680 1696 1715 1725 1764 1800 1840 1855 1908 1932 1960 2016 2058 2070 2100 2116 2120 2205 2208 2226 2240 2254 2300 2352 2385 2400 2415 2438 2450 2520 2544 2576 2597 2645 2650 2744 2760 2800 2880 2898 2940 2968 3087 3136 3150 3174 3180 3220 3312 3339 3360 3381 3392 3430 3450 3528 3600 3657 3675 3680 3703 3710 3816 3864 3920 3975 4025 4032 4116 4140 4200 4232 4240 4410 4416 4452 4508 4600 4704 4761 4770 4800 4830 4876 4900 5040 5088 5145 5152 5175 5194 5290 5300 5488 5520 5565 5600 5635 5796 5880 5936 6095 6174 6300 6348 6360 6440 6624 6678 6720 6762 6860 6900 7056 7200 7245 7314 7350 7360 7406 7420 7632 7728 7791 7840 7889 7935 7950 8050 8232 8280 8400 8464 8480 8533 8575 8820 8904 9016 9200 9275 9408 9522 9540 9660 9752 9800 10080 10143 10176 10290 10304 10350 10388 10580 10600 10971 10976 11025 11040 11109 11130 11200 11270 11592 11760 11872 11925 12075 12190 12348 12600 12696 12720 12880 12985 13225 13248 13356 13524 13720 13800 14112 14400 14490 14628 14700 14812 14840 15264 15435 15456 15582 15680 15778 15870 15900 16100 16464 16560 16695 16800 16905 16928 16960 17066 17150 17640 17808 18032 18179 18285 18400 18515 18550 19044 19080 19320 19504 19600 20160 20286 20580 20700 20776 21160 21200 21942 21952 22050 22080 22218 22260 22540 23184 23373 23520 23667 23744 23805 23850 24150 24380 24696 25200 25392 25440 25599 25725 25760 25921 25970 26450 26712 27048 27440 27600 27825 28037 28175 28224 28980 29256 29400 29624 29680 30475 30528 30870 30912 31164 31556 31740 31800 32200 32928 33120 33327 33390 33600 33810 33856 34132 34300 35280 35616 36064 36225 36358 36570 36800 37030 37100 38088 38160 38640 38955 39008 39200 39445 39675 40572 41160 41400 41552 42320 42400 42665 43884 44100 44436 44520 45080 46368 46746 47040 47334 47610 47700 48300 48760 49392 50400 50715 50784 50880 51198 51450 51520 51842 51940 52900 53424 54096 54537 54855 54880 55200 55545 55650 56074 56350 57960 58512 58800 59248 59360 59731 60950 61740 62328 63112 63480 63600 64400 64925 65856 66240 66654 66780 67620 68264 68600 70560 71001 71232 72128 72450 72716 73140 74060 74200 76176 76320 76797 77175 77280 77763 77910 78016 78400 78890 79350 81144 82320 82800 83104 83475 84111 84525 84640 84800 85330 87768 88200 88872 89040 90160 90895 91425 92575 92736 93492 94668 95220 95400 96600 97520 98784 100800 101430 101568 102396 102900 103684 103880 105800 106848 108192 109074 109710 109760 110400 111090 111300 112148 112700 115920 116865 117024 117600 118335 118496 118720 119025 119462 121900 123480 124656 126224 126960 127200 127995 128800 129605 129850 133308 133560 135240 136528 137200 140185 141120 142002 144900 145432 146280 148120 148400 152352 152640 153594 154350 154560 155526 155820 157780 158700 162288 163611 164640 165600 166208 166635 166950 168222 169050 169280 170660 175536 176400 177744 178080 179193 180320 181447 181790 182850 185150 186984 189336 190440 190800 193200 194775 195040 196259 197225 197568 202860 204792 205800 207368 207760 211600 213325 213696 216384 218148 219420 222180 222600 224296 225400 231840 233289 233730 234048 235200 236670 236992 238050 238924 243800 246960 249312 252333 252448 253575 253920 254400 255990 257600 259210 259700 266616 267120 270480 272685 273056 274275 274400 277725 280370 284004 289800 290864 292560 296240 296800 298655 304704 307188 308700 311052 311640 315560 317400 324576 327222 329280 331200 333270 333900 336444 338100 341320 351072 352800 355005 355488 356160 358386 360640 362894 363580 365700 370300 373968 378672 380880 381600 383985 386400 388815 389550 390080 392518 394450 405720 409584 411600 414736 415520 418117 420555 423200 426650 436296 438840 444360 445200 448592 450800 454475 463680 466578 467460 473340 476100 477848 487600 493920 498624 504666 504896 507150 507840 511980 518420 519400 533232 534240 537579 540960 544341 545370 546112 548550 548800 555450 560740 568008 579600 581728 584325 585120 588777 591675 592480 593600 597310 614376 617400 622104 623280 631120 634800 639975 648025 649152 654444 666540 667800 672888 676200 682640 700925 702144 705600 710010 710976 716772 725788 727160 731400 740600 747936 757344 761760 763200 767970 772800 777630 779100 785036 788900 811440 818055 819168 823200 829472 831040 833175 836234 841110 846400 853300 872592 877680 888720 890400 895965 897184 901600 907235 908950 933156 934920 946680 952200 955696 975200 981295 987840 1009332 1014300 1023960 1036840 1038800 1066464 1068480 1075158 1081920 1088682 1090740 1097100 1110900 1121480 1136016 1159200 1163456 1166445 1168650 1170240 1177554 1183350 1184960 1194620 1228752 1234800 1244208 1246560 1254351 1261665 1262240 1269600 1279950 1296050 1308888 1333080 1335600 1345776 1352400 1363425 1365280 1373813 1401850 1420020 1433544 1451576 1454320 1462800 1481200 1493275 1495872 1514688 1523520 1535940 1555260 1558200 1570072 1577800 1622880 1633023 1636110 1638336 1646400 1658944 1666350 1672468 1682220 1706600 1745184 1755360 1766331 1775025 1777440 1780800 1791930 1794368 1803200 1814470 1817900 1866312 1869840 1893360 1904400 1911392 1919925 1944075 1950400 1962590 2018664 2028600 2047920 2073680 2077600 2090585 2102775 2132928 2150316 2177364 2181480 2194200 2221800 2242960 2272032 2318400 2332890 2337300 2355108 2366700 2389240 2457504 2469600 2488416 2493120 2508702 2523330 2524480 2539200 2559900 2592100 2617776 2666160 2671200 2687895 2691552 2704800 2721705 2726850 2730560 2747626 2803700 2840040 2867088 2903152 2908640 2925600 2943885 2962400 2986550 3071880 3110520 3116400 3140144 3155600 3245760 3266046 3272220 3332700 3344936 3364440 3413200 3490368 3510720 3532662 3550050 3554880 3583860 3628940 3635800 3732624 3739680 3763053 3786720 3808800 3822784 3839850 3888150 3925180 4037328 4057200 4090275 4095840 4121439 4147360 4155200 4181170 4205550 4300632 4354728 4362960 4388400 4443600 4479825 4485920 4536175 4544064 4665780 4674600 4710216 4733400 4778480 4906475 4915008 4939200 4976832 5017404 5046660 5119800 5184200 5235552 5332320 5342400 5375790 5383104 5409600 5443410 5453700 5495252 5607400 5680080 5734176 5806304 5817280 5832225 5851200 5887770 5924800 5973100 6143760 6221040 6232800 6271755 6280288 6308325 6311200 6532092 6544440 6665400 6689872 6728880 6826400 6869065 7065324 7100100 7167720 7257880 7271600 7465248 7479360 7526106 7573440 7617600 7679700 7776300 7850360 8074656 8114400 8165115 8180550 8191680 8242878 8294720 8362340 8411100 8601264 8709456 8725920 8776800 8831655 8887200 8959650 8971840 9072350 9331560 9349200 9420432 9466800 9556960 9616691 9812950 10034808 10093320 10239600 10368400 10452925 10471104 10664640 10751580 10886820 10907400 10990504 11214800 11360160 11468352 11612608 11664450 11775540 11946200 12287520 12364317 12442080 12465600 12543510 12560576 12616650 12622400 13064184 13088880 13330800 13379744 13439475 13457760 13608525 13652800 13738130 14130648 14200200 14335440 14515760 14543200 14719425 14930496 15052212 15359400 15552600 15700720 16149312 16228800 16330230 16361100 16485756 16724680 16822200 17202528 17418912 17451840 17553600 17663310 17774400 17919300 18144700 18663120 18698400 18815265 18840864 18933600 19113920 19233382 19625900 20069616 20186640 20479200 20607195 20736800 20905850 21503160 21773640 21814800 21981008 22429600 22720320 23328900 23551080 23892400 24575040 24728634 24884160 25087020 25233300 26128368 26177760 26661600 26759488 26878950 26915520 27217050 27476260 28261296 28400400 28670880 28850073 29031520 29086400 29438850 30104424 30718800 31105200 31358775 31401440 32660460 32722200 32971512 33449360 33644400 34345325 34405056 34837824 35326620 35838600 36289400 37326240 37396800 37630530 37681728 37867200 38466764 39251800 40139232 40373280 40825575 40958400 41214390 41473600 41811700 43006320 43547280 43629600 43962016 44158275 44859200 46657800 47102160 47784800 48083455 49457268 50174040 50466600 52256736 52355520 53323200 53757900 54434100 54952520 56522592 56800800 57341760 57700146 58063040 58877700 60208848 61437600 61821585 62210400 62717550 62802880 65320920 65444400 65943024 66898720 67288800 68690650 70653240 71677200 72578800 74652480 75261060 76933528 78503600 80278464 80746560 81651150 82428780 83623400 86012640 86550219 87094560 87259200 87924032 88316550 93315600 94076325 94204320 95569600 96166910 98914536 100348080 100933200 103035975 104513472 107515800 108868200 109905040 113045184 113601600 115400292 117755400 120417696 122875200 123643170 124420800 125435100 130641840 130888800 131886048 133797440 134577600 137381300 141306480 143354400 144250365 145157600 150522120 153867056 157007200 163302300 164857560 167246800 172025280 173100438 174189120 176633100 186631200 188152650 188408640 192333820 197829072 200696160 201866400 206071950 215031600 217736400 219810080 230800584 235510800 240417275 240835392 247286340 250870200 261283680 261777600 263772096 274762600 282612960 286708800 288500730 290315200 301044240 307734112 309107925 314014400 326604600 329715120 334493600 346200876 353266200 373262400 376305300 384667640 395658144 401392320 403732800 412143900 430063200 432751095 435472800 439620160 461601168 471021600 480834550 494572680 501740400 522567360 549525200 565225920 577001460 602088480 615468224 618215850 653209200 659430240 668987200 692401752 706532400 721251825 752610600 769335280 791316288 824287800 860126400 865502190 870945600 923202336 942043200 961669100 989145360 1003480800 1099050400 1154002920 1204176960 1236431700 1306418400 1318860480 1384803504 1413064800 1442503650 1505221200 1538670560 1648575600 1731004380 1846404672 1923338200 1978290720 2006961600 2163755475 2198100800 2308005840 2472863400 2612836800 2769607008 2826129600 2885007300 3010442400 3077341120 3297151200 3462008760 3846676400 3956581440 4327510950 4616011680 4945726800 5539214016 5770014600 6020884800 6594302400 6924017520 7693352800 8655021900 9232023360 9891453600 11540029200 13848035040 15386705600 17310043800 19782907200 23080058400 27696070080 34620087600 46160116800 69240175200 138480350400
- Sum of all divisors σ(n): 611346808800
- Sum of proper divisors (its aliquot sum) s(n): 472866458400
- 138480350400 is an abundant number, because the sum of its proper divisors (472866458400) is greater than itself. Its abundance is 334386108000
Bases of 138480350400
- Binary: 100000001111100001001001110100110000002
- Hexadecimal: 0x203E1274C0
- Base-36: 1RM7MI80
Squares and roots of 138480350400
- 138480350400 squared (1384803504002) is 19176807446906780160000
- 138480350400 cubed (1384803504003) is 2655611014800980312692568064000000
-
The
square root of 138480350400 is 372129.4806918689 -
The
cube root of 138480350400 is 5173.6381601717
Scales and comparisons
How big is 138480350400?- 138,480,350,400 seconds is equal to 4,403 years, 12 weeks, 5 days, 20 hours.
-
To count from 1 to 138,480,350,400 would take you about eight thousand, eight hundred six 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 138480350400 cubic inches would be around 431.1 feet tall.
Recreational maths with 138480350400
- 138480350400 backwards is 004053084831
- 138480350400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138480350400's digits is 36
- More coming soon!
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The information we have on file for 138480350400 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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