138541518311040

Names of 138541518311040

• Cardinal: 138541518311040 can be written as One hundred thirty-eight trillion, five hundred forty-one billion, five hundred eighteen million, three hundred eleven thousand and forty.

Scientific notation

• Scientific notation: 1.3854151831104 × 10¹⁴

Factors of 138541518311040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3510850

Divisors of 138541518311040

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 31 32 34 36 39 40 45 48 51 52 60 62 64 65 68 72 78 80 85 90 93 96 102 104 117 120 124 128 130 136 144 153 155 156 160 170 180 186 192 195 204 208 221 234 240 248 255 260 272 279 288 306 310 312 320 340 360 372 384 390 403 408 416 442 465 468 480 496 510 520 527 544 558 576 585 612 620 624 640 663 680 720 744 765 780 806 816 832 884 930 936 960 992 1020 1040 1054 1088 1105 1116 1152 1170 1209 1224 1240 1248 1326 1360 1395 1440 1488 1530 1560 1581 1612 1632 1664 1768 1860 1872 1920 1984 1989 2015 2040 2080 2108 2176 2210 2232 2340 2418 2448 2480 2496 2635 2652 2720 2790 2880 2976 3060 3120 3162 3224 3264 3315 3536 3627 3720 3744 3968 3978 4030 4080 4160 4216 4420 4464 4680 4743 4836 4896 4960 4992 5270 5304 5440 5580 5760 5952 6045 6120 6240 6324 6448 6528 6630 6851 7072 7254 7440 7488 7905 7956 8060 8160 8320 8432 8840 8928 9360 9486 9672 9792 9920 9945 10540 10608 10880 11160 11904 12090 12240 12480 12648 12896 13260 13702 14144 14508 14880 14976 15810 15912 16120 16320 16864 17680 17856 18135 18720 18972 19344 19584 19840 19890 20553 21080 21216 22320 23715 24180 24480 24960 25296 25792 26520 27404 28288 29016 29760 31620 31824 32240 32640 33728 34255 35360 35712 36270 37440 37944 38688 39780 41106 42160 42432 44640 47430 48360 48960 50592 51584 53040 54808 58032 59520 61659 63240 63648 64480 67456 68510 70720 72540 74880 75888 77376 79560 82212 84320 84864 89280 94860 96720 97920 101184 102765 106080 109616 116064 123318 126480 127296 128960 137020 141440 145080 151776 154752 159120 164424 168640 178560 189720 193440 202368 205530 212160 219232 232128 246636 252960 254592 257920 274040 290160 303552 308295 318240 328848 337280 379440 386880 411060 424320 438464 464256 493272 505920 548080 580320 607104 616590 636480 657696 758880 773760 822120 876928 986544 1011840 1096160 1160640 1233180 1272960 1315392 1517760 1644240 1973088 2192320 2321280 2466360 2630784 3035520 3288480 3510779 3946176 4384640 4932720 6576960 7021558 7892352 9865440 10532337 13153920 14043116 17553895 19730880 21064674 28086232 31597011 35107790 39461760 42129348 45640127 52661685 56172464 59683243 63194022 70215580 84258696 91280254 105323370 108834149 112344928 119366486 126388044 136920381 140431160 157985055 168517392 179049729 182560508 210646740 217668298 224689856 228200635 238732972 252776088 273840762 280862320 298416215 315970110 326502447 337034784 358099458 365121016 410761143 421293480 435336596 449379712 456401270 477465944 505552176 537149187 544170745 547681524 561724640 596832430 631940220 653004894 674069568 684601905 716198916 730242032 775882159 821522286 842586960 870673192 895248645 912802540 954931888 979507341 1011104352 1074298374 1088341490 1095363048 1123449280 1193664860 1263880440 1306009788 1348139136 1369203810 1414843937 1432397832 1460484064 1551764318 1632512235 1643044572 1685173920 1741346384 1790497290 1825605080 1850180533 1909863776 1959014682 2022208704 2053805715 2148596748 2176682980 2190726096 2246898560 2327646477 2387329720 2527760880 2612019576 2685745935 2738407620 2829687874 2864795664 2920968128 3103528636 3265024470 3286089144 3370347840 3482692768 3580994580 3651210160 3700361066 3819727552 3879410795 3918029364 4044417408 4107611430 4244531811 4297193496 4353365960 4381452192 4655292954 4774659440 4897536705 5055521760 5224039152 5371491870 5476815240 5550541599 5659375748 5729591328 5841936256 6207057272 6530048940 6572178288 6740695680 6965385536 6982939431 7074219685 7161989160 7302420320 7400722132 7639455104 7758821590 7836058728 8215222860 8489063622 8594386992 8706731920 8762904384 9250902665 9310585908 9549318880 9795073410 10111043520 10448078304 10742983740 10953630480 11101083198 11318751496 11459182656 11638232385 12414114544 12733595433 13060097880 13144356576 13930771072 13965878862 14148439370 14323978320 14604840640 14801444264 15517643180 15672117456 16430445720 16651624797 16978127244 17188773984 17413463840 17525808768 18501805330 18621171816 19098637760 19590146820 20222087040 20896156608 21222659055 21485967480 21907260960 22202166396 22637502992 22918365312 23276464770 24052346929 24828229088 25467190866 26120195760 26288713152 27752707995 27931757724 28296878740 28647956640 29209681280 29602888528 31035286360 31344234912 32860891440 33303249594 33956254488 34377547968 34826927680 34914697155 37003610660 37242343632 38197275520 39180293640 41792313216 42445318110 42971934960 43814521920 44404332792 45275005984 46552929540 48104693858 49656458176 50934381732 52240391520 52577426304 55505415990 55863515448 56593757480 57295913280 59205777056 62070572720 62688469824 63667977165 65721782880 66606499188 67912508976 68755095936 69653855360 69829394310 72157040787 74007221320 74484687264 78360587280 83258123985 84890636220 85943869920 87629043840 88808665584 90550011968 93105859080 96209387716 99312916352 101868763464 104480783040 111010831980 111727030896 113187514960 114591826560 118411554112 120261734645 124141145440 125376939648 127335954330 131443565760 133212998376 135825017952 139658788620 144314081574 148014442640 148969374528 156721174560 166516247970 169781272440 171887739840 177617331168 181100023936 186211718160 192418775432 203737526928 208961566080 216471122361 222021663960 223454061792 226375029920 236823108224 240523469290 248282290880 254671908660 262887131520 266425996752 271650035904 279317577240 288628163148 296028885280 297938749056 313442349120 333032495940 339562544880 343775479680 355234662336 360785203935 372423436320 384837550864 407475053856 432942244722 444043327920 446908123584 452750059840 481046938580 496564581760 509343817320 532851993504 543300071808 558635154480 577256326296 592057770560 626884698240 666064991880 679125089760 710469324672 721570407870 744846872640 769675101728 814950107712 865884489444 888086655840 893816247168 905500119680 962093877160 1018687634640 1065703987008 1082355611805 1117270308960 1154512652592 1184115541120 1332129983760 1358250179520 1443140815740 1489693745280 1539350203456 1629900215424 1731768978888 1776173311680 1924187754320 2037375269280 2131407974016 2164711223610 2234540617920 2309025305184 2664259967520 2716500359040 2886281631480 3078700406912 3463537957776 3552346623360 3848375508640 4074750538560 4329422447220 4469081235840 4618050610368 5328519935040 5772563262960 6927075915552 7696751017280 8149501077120 8658844894440 9236101220736 10657039870080 11545126525920 13854151831104 15393502034560 17317689788880 23090253051840 27708303662208 34635379577760 46180506103680 69270759155520 138541518311040
• Sum of all divisors σ(n): 563104396108800
• Sum of proper divisors (its aliquot sum) s(n): 424562877797760
• 138541518311040 is an abundant number, because the sum of its proper divisors (424562877797760) is greater than itself. Its abundance is 286021359486720

Bases of 138541518311040

• Binary: 11111100000000010110101111111000100111010000000₂
• Hexadecimal: 0x7E00B5FC4E80
• Base-36: 1D3X3EYSG0

Squares and roots of 138541518311040

• 138541518311040 squared (138541518311040²) is 19193752295928231614185881600
• 138541518311040 cubed (138541518311040³) is 2659131585163907141010419532308645412864000
• The square root of 138541518311040 is 11770366.1077742183
• The cube root of 138541518311040 is 51743.9979423461

Scales and comparisons

• 138,541,518,311,040 seconds is equal to 4,405,191 years, 38 weeks, 5 days, 6 hours, 24 minutes.
• To count from 1 to 138,541,518,311,040 would take you about eleven million, twelve thousand, nine hundred seventy-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 138541518311040 cubic inches would be around 4312 feet tall.

Recreational maths with 138541518311040

• 138541518311040 backwards is 040113815145831
• 138541518311040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138541518311040's digits is 45
• More coming soon!