138528276480
138,528,276,480 is an even composite number composed of seven prime numbers multiplied together.
138528276480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138528276480:
214 × 32 × 5 × 11 × 19 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 19 × 29 × 31)See below for interesting mathematical facts about the number 138528276480 from the Numbermatics database.
Names of 138528276480
- Cardinal: 138528276480 can be written as One hundred thirty-eight billion, five hundred twenty-eight million, two hundred seventy-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3852827648 × 1011
Factors of 138528276480
Divisors of 138528276480
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 29 30 31 32 33 36 38 40 44 45 48 55 57 58 60 62 64 66 72 76 80 87 88 90 93 95 96 99 110 114 116 120 124 128 132 144 145 152 155 160 165 171 174 176 180 186 190 192 198 209 220 228 232 240 248 256 261 264 279 285 288 290 304 310 319 320 330 341 342 348 352 360 372 380 384 396 418 435 440 456 464 465 480 495 496 512 522 528 551 558 570 576 580 589 608 620 627 638 640 660 682 684 696 704 720 744 760 768 792 836 855 870 880 899 912 928 930 957 960 990 992 1023 1024 1044 1045 1056 1102 1116 1140 1152 1160 1178 1216 1240 1254 1276 1280 1305 1320 1364 1368 1392 1395 1408 1440 1488 1520 1536 1584 1595 1653 1672 1705 1710 1740 1760 1767 1798 1824 1856 1860 1881 1914 1920 1980 1984 2046 2048 2088 2090 2112 2204 2232 2280 2304 2320 2356 2432 2480 2508 2552 2560 2610 2640 2697 2728 2736 2755 2784 2790 2816 2871 2880 2945 2976 3040 3069 3072 3135 3168 3190 3306 3344 3410 3420 3480 3520 3534 3596 3648 3712 3720 3762 3828 3840 3960 3968 4092 4096 4176 4180 4224 4408 4464 4495 4560 4608 4640 4712 4785 4864 4959 4960 5016 5104 5115 5120 5220 5280 5301 5394 5456 5472 5510 5568 5580 5632 5742 5760 5890 5952 6061 6080 6138 6144 6270 6336 6380 6479 6612 6688 6820 6840 6960 7040 7068 7192 7296 7424 7440 7524 7656 7680 7920 7936 8091 8184 8192 8265 8352 8360 8448 8816 8835 8928 8990 9120 9216 9280 9405 9424 9570 9728 9889 9918 9920 10032 10208 10230 10240 10440 10560 10602 10788 10912 10944 11020 11136 11160 11264 11484 11520 11780 11904 12122 12160 12276 12288 12540 12672 12760 12958 13224 13376 13485 13640 13680 13920 14080 14136 14355 14384 14592 14848 14880 15048 15312 15345 15360 15840 15872 16182 16368 16384 16530 16704 16720 16896 17081 17632 17670 17856 17980 18183 18240 18432 18560 18810 18848 19140 19437 19456 19778 19836 19840 20064 20416 20460 20480 20880 21120 21204 21576 21824 21888 22040 22272 22320 22528 22968 23040 23560 23808 24244 24320 24552 24576 24795 25080 25344 25520 25916 26448 26505 26752 26970 27280 27360 27840 28160 28272 28710 28768 29184 29667 29696 29760 30096 30305 30624 30690 30720 31680 31744 32364 32395 32736 33060 33408 33440 33792 34162 35264 35340 35712 35960 36366 36480 36864 37120 37620 37696 38280 38874 38912 39556 39672 39680 40128 40455 40832 40920 40960 41760 42240 42408 43152 43648 43776 44080 44544 44640 45056 45936 46080 47120 47616 48488 48640 49104 49152 49445 49590 50160 50688 51040 51243 51832 52896 53010 53504 53940 54549 54560 54720 55680 56320 56544 57420 57536 58311 58368 59334 59392 59520 60192 60610 61248 61380 61440 63360 63488 64728 64790 65472 66120 66816 66880 67584 68324 70528 70680 71424 71920 72732 72960 73728 74240 75240 75392 76560 77748 77824 79112 79344 79360 80256 80910 81664 81840 81920 83520 84480 84816 85405 86304 87296 87552 88160 89001 89088 89280 90112 90915 91872 92160 94240 95232 96976 97185 97280 98208 98890 99180 100320 101376 102080 102486 103664 105792 106020 107008 107880 109098 109120 109440 111360 112640 113088 114840 115072 116622 116736 118668 118784 119040 120384 121220 122496 122760 122880 126720 126976 129456 129580 130944 132240 133632 133760 135168 136648 141056 141360 142848 143840 145464 145920 147456 148335 148480 150480 150784 153120 153729 155496 155648 158224 158688 158720 160512 161820 163328 163680 167040 168960 169632 170810 172608 174592 175104 176320 178002 178176 178560 180224 181830 183744 184320 187891 188480 190464 193952 194370 194560 196416 197780 198360 200640 202752 204160 204972 207328 211584 212040 214016 215760 218196 218240 218880 222720 225280 226176 229680 230144 233244 233472 237336 237568 238080 240768 242440 244992 245520 245760 253440 253952 256215 258912 259160 261888 264480 267264 267520 270336 272745 273296 282112 282720 285696 287680 290928 291555 291840 296670 296960 300960 301568 306240 307458 310992 311296 316448 317376 317440 321024 323640 326656 327360 334080 337920 339264 341620 345216 349184 350208 352640 356004 356352 357120 363660 367488 368640 375782 376960 380928 387904 388740 389120 392832 395560 396720 401280 405504 408320 409944 414656 423168 424080 428032 431520 436392 436480 437760 445005 445440 450560 452352 459360 460288 466488 466944 474672 475136 476160 481536 484880 489984 491040 506880 507904 512430 517824 518320 523776 528960 534528 535040 540672 545490 546592 563673 564224 565440 571392 575360 581856 583110 583680 593340 593920 601920 603136 612480 614916 621984 632896 634752 634880 642048 647280 653312 654720 668160 675840 678528 683240 690432 698368 700416 705280 712008 712704 714240 727320 734976 737280 751564 753920 761856 768645 775808 777480 778240 785664 791120 793440 802560 811008 816640 819888 829312 846336 848160 856064 863040 872784 872960 875520 890010 890880 901120 904704 918720 920576 932976 933888 939455 949344 952320 963072 969760 979968 982080 1013760 1024860 1035648 1036640 1047552 1057920 1069056 1070080 1090980 1093184 1127346 1128448 1130880 1142784 1150720 1163712 1166220 1167360 1186680 1187840 1203840 1206272 1224960 1229832 1243968 1265792 1269504 1269760 1284096 1294560 1306624 1309440 1336320 1351680 1357056 1366480 1380864 1396736 1400832 1410560 1424016 1425408 1428480 1454640 1469952 1503128 1507840 1523712 1537290 1551616 1554960 1556480 1571328 1582240 1586880 1605120 1622016 1633280 1639776 1658624 1691019 1692672 1696320 1712128 1726080 1745568 1745920 1751040 1780020 1781760 1809408 1837440 1841152 1865952 1878910 1898688 1904640 1926144 1939520 1959936 1964160 2027520 2049720 2071296 2073280 2095104 2115840 2138112 2140160 2181960 2186368 2254692 2256896 2261760 2285568 2301440 2327424 2332440 2334720 2373360 2375680 2407680 2412544 2449920 2459664 2487936 2531584 2539008 2539520 2568192 2589120 2613248 2618880 2672640 2703360 2714112 2732960 2761728 2793472 2801664 2818365 2821120 2848032 2856960 2909280 2939904 3006256 3015680 3074580 3103232 3109920 3142656 3164480 3173760 3210240 3266560 3279552 3317248 3382038 3385344 3392640 3424256 3452160 3491136 3491840 3502080 3560040 3563520 3618816 3674880 3682304 3731904 3757820 3797376 3809280 3852288 3879040 3919872 3928320 4055040 4099440 4142592 4146560 4190208 4231680 4276224 4280320 4363920 4372736 4509384 4513792 4523520 4571136 4602880 4654848 4664880 4669440 4746720 4815360 4825088 4899840 4919328 4975872 5063168 5078016 5136384 5178240 5226496 5237760 5345280 5428224 5465920 5523456 5586944 5636730 5642240 5696064 5713920 5818560 5879808 6012512 6031360 6149160 6206464 6219840 6285312 6328960 6347520 6420480 6533120 6559104 6634496 6764076 6770688 6785280 6904320 6982272 6983680 7004160 7120080 7127040 7237632 7349760 7364608 7463808 7515640 7594752 7618560 7704576 7758080 7839744 7856640 8110080 8198880 8285184 8293120 8380416 8455095 8463360 8560640 8727840 8745472 9018768 9027584 9047040 9205760 9309696 9329760 9493440 9630720 9650176 9799680 9838656 9951744 10126336 10156032 10272768 10356480 10475520 10690560 10856448 10931840 11046912 11273460 11284480 11392128 11427840 11637120 11759616 12025024 12062720 12298320 12412928 12439680 12570624 12657920 12695040 12840960 13066240 13118208 13268992 13528152 13541376 13570560 13808640 13964544 13967360 14008320 14240160 14475264 14699520 14729216 14927616 15031280 15189504 15409152 15516160 15679488 15713280 16397760 16570368 16586240 16760832 16910190 16926720 17121280 17455680 17490944 18037536 18094080 18411520 18619392 18659520 18986880 19261440 19599360 19677312 19903488 20252672 20312064 20712960 20951040 21381120 21712896 21863680 22093824 22546920 22568960 22784256 22855680 23274240 23519232 24050048 24125440 24596640 24825856 24879360 25141248 25315840 25390080 25681920 26132480 26236416 26537984 27056304 27082752 27141120 27617280 27929088 27934720 28480320 28950528 29399040 29855232 30062560 30379008 30818304 31032320 31426560 32795520 33140736 33172480 33820380 33853440 34911360 34981888 36075072 36188160 36823040 37238784 37319040 37973760 38522880 39198720 39354624 39806976 40505344 40624128 41425920 41902080 43425792 43727360 44187648 45093840 45137920 45568512 46548480 47038464 48100096 48250880 49193280 49651712 49758720 50282496 50631680 50780160 51363840 52472832 53075968 54112608 54282240 55234560 55858176 56960640 58798080 59710464 60125120 60758016 62064640 62853120 65591040 66281472 66344960 67640760 67706880 69822720 69963776 72150144 72376320 73646080 74477568 74638080 75947520 77045760 78397440 78709248 79613952 81010688 81248256 82851840 83804160 86851584 87454720 90187680 91137024 93096960 96200192 98386560 99303424 99517440 101263360 101560320 104945664 106151936 108225216 108564480 110469120 111716352 113921280 117596160 119420928 120250240 121516032 124129280 125706240 131182080 132562944 132689920 135281520 135413760 139645440 139927552 144300288 144752640 148955136 149276160 151895040 154091520 157418496 159227904 162021376 165703680 174909440 180375360 182274048 186193920 192400384 196773120 199034880 202526720 203120640 209891328 216450432 217128960 220938240 223432704 227842560 235192320 238841856 240500480 243032064 248258560 251412480 262364160 265379840 270563040 279290880 279855104 288600576 297910272 298552320 303790080 314836992 318455808 331407360 349818880 360750720 364548096 372387840 384800768 393546240 398069760 405053440 406241280 419782656 432900864 434257920 446865408 455685120 477683712 481000960 486064128 496517120 524728320 530759680 541126080 558581760 577201152 597104640 607580160 629673984 662814720 699637760 721501440 729096192 744775680 769601536 787092480 796139520 810106880 839565312 865801728 893730816 911370240 955367424 962001920 1049456640 1082252160 1117163520 1154402304 1194209280 1215160320 1259347968 1399275520 1443002880 1458192384 1489551360 1539203072 1574184960 1592279040 1731603456 1822740480 1924003840 2098913280 2164504320 2234327040 2308804608 2388418560 2430320640 2518695936 2886005760 3078406144 3148369920 3463206912 3645480960 3848007680 4197826560 4329008640 4468654080 4617609216 4776837120 5772011520 6296739840 6926413824 7290961920 7696015360 8658017280 9235218432 11544023040 12593479680 13852827648 15392030720 17316034560 23088046080 27705655296 34632069120 46176092160 69264138240 138528276480
- Sum of all divisors σ(n): 588862310400
- Sum of proper divisors (its aliquot sum) s(n): 450334033920
- 138528276480 is an abundant number, because the sum of its proper divisors (450334033920) is greater than itself. Its abundance is 311805757440
Bases of 138528276480
- Binary: 100000010000001110110111000000000000002
- Hexadecimal: 0x2040EDC000
- Base-36: 1RN05Q80
Squares and roots of 138528276480
- 138528276480 squared (1385282764802) is 19190083384519321190400
- 138528276480 cubed (1385282764803) is 2658369176764946677765653921792000
-
The
square root of 138528276480 is 372193.8694820215 -
The
cube root of 138528276480 is 5174.2349321971
Scales and comparisons
How big is 138528276480?- 138,528,276,480 seconds is equal to 4,404 years, 40 weeks, 12 hours, 48 minutes.
-
To count from 1 to 138,528,276,480 would take you about eight thousand, eight hundred 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 138528276480 cubic inches would be around 431.2 feet tall.
Recreational maths with 138528276480
- 138528276480 backwards is 084672825831
- The number of decimal digits it has is: 12
- The sum of 138528276480's digits is 54
- More coming soon!
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The information we have on file for 138528276480 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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