131988424320

Names of 131988424320

• Cardinal: 131988424320 can be written as One hundred thirty-one billion, nine hundred eighty-eight million, four hundred twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3198842432 × 10¹¹

Factors of 131988424320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 70

Divisors of 131988424320

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 43 45 48 51 54 60 64 68 72 80 81 85 86 90 96 102 108 120 128 129 135 136 144 153 160 162 170 172 180 192 204 215 216 240 243 255 258 270 272 288 306 320 324 340 344 360 384 387 405 408 430 432 459 480 486 510 516 540 544 576 612 640 645 648 680 688 720 729 731 765 774 810 816 860 864 918 960 972 1020 1032 1080 1088 1152 1161 1215 1224 1290 1296 1360 1376 1377 1440 1458 1462 1530 1548 1620 1632 1720 1728 1836 1849 1920 1935 1944 2040 2064 2160 2176 2187 2193 2295 2322 2430 2448 2580 2592 2720 2752 2754 2880 2916 2924 3060 3096 3240 3264 3440 3456 3483 3645 3655 3672 3698 3870 3888 4080 4128 4131 4320 4374 4386 4590 4644 4860 4896 5160 5184 5440 5504 5508 5547 5760 5805 5832 5848 6120 6192 6480 6528 6561 6579 6880 6885 6966 7290 7310 7344 7396 7740 7776 8160 8256 8262 8640 8748 8772 9180 9245 9288 9720 9792 10320 10368 10449 10880 10935 10965 11016 11094 11610 11664 11696 12240 12384 12393 12960 13122 13158 13760 13770 13932 14580 14620 14688 14792 15480 15552 16320 16512 16524 16641 17280 17415 17496 17544 18360 18490 18576 19440 19584 19737 20640 20655 20898 21870 21930 22032 22188 23220 23328 23392 24480 24768 24786 25920 26244 26316 27520 27540 27735 27864 29160 29240 29376 29584 30960 31104 31347 31433 32640 32805 32895 33048 33282 34830 34992 35088 36720 36980 37152 37179 38880 39474 41280 41310 41796 43740 43860 44064 44376 46440 46656 46784 48960 49536 49572 49923 51840 52245 52488 52632 55080 55470 55728 58320 58480 58752 59168 59211 61920 61965 62694 62866 65610 65790 66096 66564 69660 69984 70176 73440 73960 74304 74358 77760 78948 82560 82620 83205 83592 87480 87720 88128 88752 92880 93312 93568 94041 94299 97920 98685 99144 99846 104490 104976 105264 110160 110940 111456 111537 116640 116960 118336 118422 123840 123930 125388 125732 131220 131580 132192 133128 139320 139968 140352 146880 147920 148608 148716 149769 155520 156735 157165 157896 165240 166410 167184 174960 175440 176256 177504 177633 185760 185895 188082 188598 197370 198288 199692 208980 209952 210528 220320 221880 222912 223074 233280 233920 236672 236844 247680 247860 249615 250776 251464 262440 263160 264384 266256 278640 279936 280704 282123 282897 293760 295840 296055 297432 299538 313470 314330 315792 330480 332820 334368 349920 350880 355008 355266 371520 371790 376164 377196 394740 396576 399384 417960 419904 421056 440640 443760 445824 446148 449307 466560 467840 470205 471495 473688 495720 499230 501552 502928 524880 526320 528768 532512 532899 557280 557685 564246 565794 591680 592110 594864 599076 626940 628660 631584 660960 665640 668736 699840 701760 710016 710532 743040 743580 748845 752328 754392 789480 793152 798768 835920 839808 842112 848691 881280 887520 888165 892296 898614 940410 942990 947376 991440 998460 1003104 1005856 1049760 1052640 1065024 1065798 1114560 1115370 1128492 1131588 1183360 1184220 1189728 1198152 1253880 1257320 1263168 1321920 1331280 1337472 1347921 1399680 1403520 1410615 1414485 1421064 1487160 1497690 1504656 1508784 1578960 1586304 1597536 1598697 1671840 1697382 1775040 1776330 1784592 1797228 1880820 1885980 1894752 1982880 1996920 2006208 2011712 2099520 2105280 2130048 2131596 2229120 2230740 2246535 2256984 2263176 2368440 2379456 2396304 2507760 2514640 2526336 2546073 2643840 2662560 2664495 2695842 2821230 2828970 2842128 2974320 2995380 3009312 3017568 3157920 3195072 3197394 3343680 3394764 3550080 3552660 3569184 3594456 3761640 3771960 3789504 3965760 3993840 4012416 4023424 4043763 4199040 4210560 4243455 4263192 4461480 4493070 4513968 4526352 4736880 4758912 4792608 4796091 5015520 5029280 5092146 5325120 5328990 5391684 5642460 5657940 5684256 5948640 5990760 6018624 6035136 6315840 6390144 6394788 6687360 6739605 6789528 7105320 7138368 7188912 7523280 7543920 7579008 7638219 7931520 7987680 7993485 8087526 8486910 8526384 8922960 8986140 9027936 9052704 9473760 9585216 9592182 10031040 10058560 10184292 10650240 10657980 10783368 11284920 11315880 11368512 11897280 11981520 12037248 12070272 12131289 12631680 12730365 12789576 13479210 13579056 14210640 14276736 14377824 15046560 15087840 15276438 15975360 15986970 16175052 16973820 17052768 17845920 17972280 18055872 18105408 18947520 19170432 19184364 20062080 20117120 20218815 20368584 21315960 21566736 22569840 22631760 22737024 22914657 23794560 23963040 23980455 24262578 25460730 25579152 26958420 27158112 28421280 28755648 30093120 30175680 30552876 31950720 31973940 32350104 33947640 34105536 35691840 35944560 36111744 36210816 37895040 38191095 38368728 40437630 40737168 42631920 43133472 45139680 45263520 45829314 47926080 47960910 48525156 50921460 51158304 53916840 54316224 56842560 57511296 60186240 60351360 60656445 61105752 63947880 64700208 67895280 68211072 68743971 71383680 71889120 76382190 76737456 80875260 81474336 85263840 86266944 90279360 90527040 91658628 95852160 95921820 97050312 101842920 102316608 107833680 108632448 113685120 114573285 121312890 122211504 127895760 129400416 135790560 137487942 143778240 152764380 153474912 161750520 162948672 170527680 172533888 180558720 181054080 183317256 191843640 194100624 203685840 204633216 206231913 215667360 229146570 242625780 244423008 255791520 258800832 271581120 274975884 287556480 305528760 306949824 323501040 325897344 341055360 343719855 366634512 383687280 388201248 407371680 412463826 431334720 458293140 485251560 488846016 511583040 517601664 543162240 549951768 611057520 613899648 647002080 687439710 733269024 767374560 776402496 814743360 824927652 862669440 916586280 970503120 977692032 1023166080 1031159565 1099903536 1222115040 1294004160 1374879420 1466538048 1534749120 1552804992 1629486720 1649855304 1833172560 1941006240 2062319130 2199807072 2444230080 2588008320 2749758840 2933076096 3069498240 3299710608 3666345120 3882012480 4124638260 4399614144 4888460160 5499517680 6599421216 7332690240 7764024960 8249276520 8799228288 10999035360 13198842432 14665380480 16498553040 21998070720 26397684864 32997106080 43996141440 65994212160 131988424320
• Sum of all divisors σ(n): 513043018020
• Sum of proper divisors (its aliquot sum) s(n): 381054593700
• 131988424320 is an abundant number, because the sum of its proper divisors (381054593700) is greater than itself. Its abundance is 249066169380

Bases of 131988424320

• Binary: 1111010111011000111111000011010000000₂
• Hexadecimal: 0x1EBB1F8680
• Base-36: 1OMUI000

Squares and roots of 131988424320

• 131988424320 squared (131988424320²) is 17420944154476367462400
• 131988424320 cubed (131988424320³) is 2299362969116050416039492845568000
• The square root of 131988424320 is 363302.1116371333
• The cube root of 131988424320 is 5091.4945288583

Scales and comparisons

• 131,988,424,320 seconds is equal to 4,196 years, 42 weeks, 5 days, 19 hours, 12 minutes.
• To count from 1 to 131,988,424,320 would take you about eight thousand, three hundred ninety-three 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 131988424320 cubic inches would be around 424.3 feet tall.

Recreational maths with 131988424320

• 131988424320 backwards is 023424889131
• 131988424320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131988424320's digits is 45
• More coming soon!