138591198720

Names of 138591198720

• Cardinal: 138591198720 can be written as One hundred thirty-eight billion, five hundred ninety-one million, one hundred ninety-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3859119872 × 10¹¹

Factors of 138591198720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1845

Divisors of 138591198720

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 89 90 96 104 108 117 120 128 130 135 144 156 160 178 180 192 195 208 216 234 240 256 260 267 270 288 312 320 351 356 360 384 390 416 432 445 468 480 512 520 534 540 576 585 624 640 702 712 720 768 780 801 832 864 890 936 960 1040 1068 1080 1152 1157 1170 1248 1280 1335 1404 1424 1440 1536 1560 1602 1664 1728 1733 1755 1780 1872 1920 2080 2136 2160 2304 2314 2340 2403 2496 2560 2670 2808 2848 2880 3120 3204 3328 3456 3466 3471 3510 3560 3744 3840 4005 4160 4272 4320 4608 4628 4680 4806 4992 5199 5340 5616 5696 5760 5785 6240 6408 6656 6912 6932 6942 7020 7120 7488 7680 8010 8320 8544 8640 8665 9256 9360 9612 9984 10398 10413 10680 11232 11392 11520 11570 12015 12480 12816 13824 13864 13884 14040 14240 14976 15597 16020 16640 17088 17280 17330 17355 18512 18720 19224 19968 20796 20826 21360 22464 22529 22784 23040 23140 24030 24960 25632 25995 27728 27768 28080 28480 29952 31194 31239 32040 33280 34176 34560 34660 34710 37024 37440 38448 41592 41652 42720 44928 45058 45568 46280 46791 48060 49920 51264 51990 52065 55456 55536 56160 56960 59904 62388 62478 64080 67587 68352 69120 69320 69420 74048 74880 76896 77985 83184 83304 85440 89856 90116 92560 93582 96120 99840 102528 103980 104130 110912 111072 112320 112645 113920 124776 124956 128160 135174 136704 138640 138840 148096 149760 153792 154237 155970 156195 166368 166608 170880 179712 180232 185120 187164 192240 202761 205056 207960 208260 221824 222144 224640 225290 227840 233955 249552 249912 256320 270348 277280 277680 296192 299520 307584 308474 311940 312390 332736 333216 337935 341760 360464 370240 374328 384480 405522 410112 415920 416520 443648 444288 449280 450580 462711 467910 499104 499824 512640 540696 554560 555360 592384 608283 615168 616948 623880 624780 665472 666432 675870 683520 720928 740480 748656 768960 771185 811044 831840 833040 887296 888576 898560 901160 925422 935820 998208 999648 1013805 1025280 1081392 1109120 1110720 1216566 1230336 1233896 1247760 1249560 1330944 1332864 1351740 1388133 1441856 1480960 1497312 1537920 1542370 1622088 1663680 1666080 1777152 1802320 1850844 1871640 1996416 1999296 2005081 2027610 2050560 2162784 2218240 2221440 2313555 2433132 2467792 2495520 2499120 2661888 2665728 2703480 2776266 2883712 2961920 2994624 3041415 3075840 3084740 3244176 3327360 3332160 3604640 3701688 3743280 3992832 3998592 4010162 4055220 4164399 4325568 4436480 4442880 4627110 4866264 4935584 4991040 4998240 5331456 5406960 5552532 5767424 5989248 6015243 6082830 6151680 6169480 6488352 6654720 6664320 6940665 7209280 7403376 7486560 7985664 7997184 8020324 8110440 8328798 8651136 8885760 9254220 9732528 9871168 9982080 9996480 10025405 10813920 11105064 11534848 11978496 12030486 12165660 12338960 12976704 13309440 13328640 13881330 14418560 14806752 14973120 15994368 16040648 16220880 16657596 17302272 18045729 18508440 19465056 19742336 19964160 19992960 20050810 20821995 21627840 22210128 23956992 24060972 24331320 24677920 25953408 26657280 27762660 28837120 29613504 29946240 30076215 32081296 32441760 33315192 34604544 36091458 37016880 38930112 39484672 39928320 39985920 40101620 41643990 43255680 44420256 48121944 48662640 49355840 51906816 54137187 55525320 57674240 59227008 59892480 60152430 64162592 64883520 66630384 72182916 74033760 77860224 78969344 79971840 80203240 83287980 86511360 88840512 90228645 96243888 97325280 98711680 103813632 108274374 111050640 118454016 119784960 120304860 128325184 129767040 133260768 144365832 148067520 155720448 160406480 166575960 173022720 177681024 180457290 192487776 194650560 197423360 216548748 222101280 236908032 240609720 256650368 259534080 266521536 270685935 288731664 296135040 311440896 320812960 333151920 355362048 360914580 384975552 389301120 394846720 433097496 444202560 481219440 513300736 519068160 533043072 541371870 577463328 592270080 641625920 666303840 710724096 721829160 769951104 778602240 866194992 888405120 962438880 1026601472 1066086144 1082743740 1154926656 1184540160 1283251840 1332607680 1443658320 1539902208 1557204480 1732389984 1776810240 1924877760 2132172288 2165487480 2309853312 2566503680 2665215360 2887316640 3079804416 3464779968 3553620480 3849755520 4330974960 4619706624 5133007360 5330430720 5774633280 6929559936 7699511040 8661949920 9239413248 10660861440 11549266560 13859119872 15399022080 17323899840 23098533120 27718239744 34647799680 46197066240 69295599360 138591198720
• Sum of all divisors σ(n): 536421916800
• Sum of proper divisors (its aliquot sum) s(n): 397830718080
• 138591198720 is an abundant number, because the sum of its proper divisors (397830718080) is greater than itself. Its abundance is 259239519360

Bases of 138591198720

• Binary: 10000001000100101011011101111000000000₂
• Hexadecimal: 0x2044ADDE00
• Base-36: 1RO1MDC0

Squares and roots of 138591198720

• 138591198720 squared (138591198720²) is 19207520362646529638400
• 138591198720 cubed (138591198720³) is 2661993271497991654233864142848000
• The square root of 138591198720 is 372278.3887361715
• The cube root of 138591198720 is 5175.0182263589

Scales and comparisons

• 138,591,198,720 seconds is equal to 4,406 years, 40 weeks, 19 hours, 12 minutes.
• To count from 1 to 138,591,198,720 would take you about eight thousand, eight hundred thirteen 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 138591198720 cubic inches would be around 431.3 feet tall.

Recreational maths with 138591198720

• 138591198720 backwards is 027891195831
• 138591198720 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138591198720's digits is 54
• More coming soon!