31138974061440

Names of 31138974061440

• Cardinal: 31138974061440 can be written as Thirty-one trillion, one hundred thirty-eight billion, nine hundred seventy-four million, sixty-one thousand, four hundred forty.

Scientific notation

• Scientific notation: 3.113897406144 × 10¹³

Factors of 31138974061440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 201552

Divisors of 31138974061440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 53 56 60 62 64 70 80 84 93 96 98 105 106 112 120 124 128 140 147 155 159 160 168 186 192 196 210 212 217 224 240 245 248 265 280 294 310 318 320 336 371 372 384 392 420 424 434 448 465 480 490 496 530 560 588 620 636 640 651 672 735 742 744 784 795 840 848 868 896 930 960 980 992 1060 1085 1113 1120 1176 1240 1272 1302 1344 1470 1484 1488 1519 1568 1590 1643 1680 1696 1736 1855 1860 1920 1960 1984 2120 2170 2226 2240 2352 2480 2544 2597 2604 2688 2940 2968 2976 3038 3136 3180 3255 3286 3360 3392 3472 3710 3720 3920 3968 4240 4340 4452 4480 4557 4704 4929 4960 5088 5194 5208 5565 5880 5936 5952 6076 6272 6360 6510 6572 6720 6784 6944 7420 7440 7595 7791 7840 8215 8480 8680 8904 9114 9408 9858 9920 10176 10388 10416 11130 11501 11760 11872 11904 12152 12720 12985 13020 13144 13440 13888 14840 14880 15190 15582 15680 16430 16960 17360 17808 18228 18816 19716 19840 20352 20776 20832 22260 22785 23002 23520 23744 24304 24645 25440 25970 26040 26288 27776 29680 29760 30380 31164 31360 32860 33920 34503 34720 35616 36456 38955 39432 41552 41664 44520 45570 46004 47040 47488 48608 49290 50880 51940 52080 52576 57505 59360 59520 60760 62328 65720 69006 69440 71232 72912 77910 78864 80507 83104 83328 89040 91140 92008 94080 97216 98580 101760 103880 104160 105152 115010 118720 121520 124656 131440 138012 138880 142464 145824 155820 157728 161014 166208 172515 178080 182280 184016 194432 197160 201451 207760 208320 210304 230020 237440 241521 243040 249312 262880 276024 291648 311640 315456 322028 332416 345030 356160 364560 368032 394320 402535 402902 415520 416640 460040 483042 486080 498624 525760 552048 583296 604353 623280 630912 644056 690060 712320 729120 736064 788640 805070 805804 831040 920080 966084 972160 997248 1007255 1051520 1104096 1207605 1208706 1246560 1288112 1380120 1410157 1458240 1472128 1577280 1610140 1611608 1662080 1840160 1932168 2014510 2208192 2415210 2417412 2493120 2576224 2760240 2820314 2916480 3021765 3154560 3220280 3223216 3680320 3864336 4029020 4230471 4416384 4830420 4834824 4986240 5152448 5520480 5640628 6043530 6244981 6440560 6446432 7050785 7360640 7728672 8058040 8460942 9660840 9669648 9871099 10304896 10676903 11040960 11281256 12087060 12489962 12881120 12892864 14101570 15457344 16116080 16921884 18734943 19321680 19339296 19742198 21152355 21353806 22081920 22562512 24174120 24979924 25762240 25785728 28203140 29613297 30914688 31224905 32030709 32232160 33843768 37469886 38643360 38678592 39484396 42304710 42707612 43714867 45125024 48348240 49355495 49959848 51524480 53384515 56406280 59226594 62449810 64061418 64464320 67687536 74738321 74939772 77286720 77357184 78968792 84609420 85415224 87429734 90250048 93674715 96696480 98710990 99919696 106769030 112812560 118453188 124899620 128122836 128928640 131144601 135375072 148066485 149476642 149879544 154573440 157937584 160153545 169218840 170830448 174859468 180500096 187349430 193392960 197421980 199839392 213538060 218574335 224214963 225625120 236906376 249799240 256245672 262289202 270750144 296132970 298953284 299759088 306004069 315875168 320307090 330983993 338437680 341660896 349718936 373691605 374698860 386785920 394843960 399678784 427076120 437148670 448429926 451250240 473812752 499598480 512491344 523168247 524578404 541500288 592265940 597906568 599518176 612008138 631750336 640614180 655723005 661967986 676875360 683321792 699437872 747383210 749397720 789687920 799357568 854152240 874297340 896859852 902500480 918012207 947625504 992951979 999196960 1024982688 1046336494 1049156808 1121074815 1184531880 1195813136 1199036352 1224016276 1263500672 1281228360 1311446010 1323935972 1353750720 1366643584 1398875744 1494766420 1498795440 1530020345 1569504741 1579375840 1654919965 1708304480 1748594680 1793719704 1836024414 1895251008 1985903958 1998393920 2049965376 2092672988 2098313616 2242149630 2316887951 2369063760 2391626272 2398072704 2448032552 2562456720 2615841235 2622892020 2647871944 2707501440 2797751488 2989532840 2997590880 3060040690 3139009482 3158751680 3309839930 3416608960 3497189360 3587439408 3672048828 3790502016 3971807916 3996787840 4099930752 4185345976 4196627232 4484299260 4590061035 4633775902 4738127520 4783252544 4896065104 4964759895 5124913440 5231682470 5245784040 5295743888 5595502976 5979065680 5995181760 6120081380 6278018964 6317503360 6619679860 6833217920 6950663853 6994378720 7174878816 7344097656 7847523705 7943615832 8370691952 8393254464 8968598520 9180122070 9267551804 9476255040 9566505088 9792130208 9929519790 10249826880 10463364940 10491568080 10591487776 11584439755 11958131360 11990363520 12240162760 12556037928 13239359720 13901327706 13988757440 14349757632 14688195312 15695047410 15887231664 16218215657 16741383904 16786508928 17937197040 18360244140 18535103608 18952510080 19584260416 19859039580 20499653760 20926729880 20983136160 21182975552 23168879510 23916262720 24480325520 25112075856 26478719440 27802655412 27977514880 28699515264 29376390624 31390094820 31774463328 32436431314 33482767808 34753319265 35874394080 36720488280 37070207216 39168520832 39718079160 41853459760 41966272320 42365951104 46337759020 47832525440 48654646971 48960651040 50224151712 52957438880 55605310824 58752781248 62780189640 63548926656 64872862628 66965535616 69506638530 71748788160 73440976560 74140414432 79436158320 81091078285 83706919520 83932544640 92675518040 97309293942 97921302080 100448303424 105914877760 111210621648 117505562496 125560379280 127097853312 129745725256 139013277060 143497576320 146881953120 148280828864 158872316640 162182156570 167413839040 185351036080 194618587884 195842604160 200896606848 211829755520 222421243296 243273234855 251120758560 259491450512 278026554120 293763906240 296561657728 317744633280 324364313140 334827678080 370702072160 389237175768 444842486592 486546469710 502241517120 518982901024 556053108240 587527812480 635489266560 648728626280 741404144320 778474351536 889684973184 973092939420 1004483034240 1037965802048 1112106216480 1297457252560 1482808288640 1556948703072 1946185878840 2075931604096 2224212432960 2594914505120 3113897406144 3892371757680 4448424865920 5189829010240 6227794812288 7784743515360 10379658020480 15569487030720 31138974061440
• Sum of all divisors σ(n): 121434363095040
• Sum of proper divisors (its aliquot sum) s(n): 90295389033600
• 31138974061440 is an abundant number, because the sum of its proper divisors (90295389033600) is greater than itself. Its abundance is 59156414972160

Bases of 31138974061440

• Binary: 111000101001000011011011111001101001110000000₂
• Hexadecimal: 0x1C521B7CD380
• Base-36: B1D1P66IO

Squares and roots of 31138974061440

• 31138974061440 squared (31138974061440²) is 969635705599033128894873600
• 31138974061440 cubed (31138974061440³) is 30193461085694364777800713202987433984000
• The square root of 31138974061440 is 5580230.6458998629
• The cube root of 31138974061440 is 31460.6796057467

Scales and comparisons

• 31,138,974,061,440 seconds is equal to 990,123 years, 2 weeks, 6 days, 9 hours, 4 minutes.
• To count from 1 to 31,138,974,061,440 would take you about two million, four hundred seventy-five thousand, three hundred seven 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 31138974061440 cubic inches would be around 2621.7 feet tall.

Recreational maths with 31138974061440

• 31138974061440 backwards is 04416047983113
• The number of decimal digits it has is: 14
• The sum of 31138974061440's digits is 51
• More coming soon!