138461456941117440

Names of 138461456941117440

• Cardinal: 138461456941117440 can be written as One hundred thirty-eight quadrillion, four hundred sixty-one trillion, four hundred fifty-six billion, nine hundred forty-one million, one hundred seventeen thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3846145694111744 × 10¹⁷

Factors of 138461456941117440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3181

Divisors of 138461456941117440

• Number of divisors d(n): 1404
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 64 65 74 78 80 96 104 111 120 128 130 148 156 160 169 185 192 195 208 222 240 256 260 296 312 320 338 370 384 390 416 444 480 481 507 512 520 555 592 624 640 676 740 768 780 832 845 888 960 962 1014 1024 1040 1110 1184 1248 1280 1352 1369 1443 1480 1536 1560 1664 1690 1776 1920 1924 2028 2048 2080 2220 2368 2405 2496 2535 2560 2704 2738 2886 2960 3072 3120 3121 3328 3380 3552 3840 3848 4056 4096 4107 4160 4440 4736 4810 4992 5070 5120 5408 5476 5772 5920 6144 6240 6242 6253 6656 6760 6845 7104 7215 7680 7696 8112 8214 8320 8880 9363 9472 9620 9984 10140 10240 10816 10952 11544 11840 12288 12480 12484 12506 13312 13520 13690 14208 14430 15360 15392 15605 16224 16428 16640 17760 17797 18726 18759 18944 19240 19968 20280 20480 20535 21632 21904 23088 23680 24960 24968 25012 26624 27040 27380 28416 28860 30720 30784 31210 31265 32448 32856 33280 35520 35594 37452 37518 37888 38480 39936 40560 40573 41070 43264 43808 46176 46815 47360 49920 49936 50024 53248 53391 54080 54760 56832 57720 61440 61568 62420 62530 64896 65712 66560 71040 71188 74904 75036 75776 76960 79872 81120 81146 82140 86528 87616 88985 92352 93630 93795 94720 99840 99872 100048 106782 108160 109520 113664 115440 115477 121719 123136 124840 125060 129792 131424 133120 142080 142376 149808 150072 151552 153920 159744 162240 162292 164280 173056 175232 177970 184704 187260 187590 189440 199680 199744 200096 202865 213564 216320 219040 227328 230880 230954 231361 243438 246272 249680 250120 259584 262848 266240 266955 284160 284752 299616 300144 307840 324480 324584 328560 346112 346431 350464 355940 369408 374520 375180 378880 399360 399488 400192 405730 427128 432640 438080 454656 461760 461908 462722 486876 492544 499360 500240 519168 525696 527449 533910 568320 569504 577385 599232 600288 608595 615680 648960 649168 657120 692224 692862 694083 700928 711880 738816 749040 750360 757760 798720 798976 800384 811460 854256 865280 876160 923520 923816 925444 973752 985088 998720 1000480 1038336 1051392 1054898 1067820 1136640 1139008 1154770 1156805 1198464 1200576 1217190 1231360 1297920 1298336 1314240 1385724 1388166 1401856 1423760 1477632 1498080 1500720 1501201 1582347 1597952 1600768 1622920 1708512 1730560 1732155 1752320 1847040 1847632 1850888 1947504 1970176 1997440 2000960 2076672 2102784 2109796 2135640 2273280 2278016 2309540 2313610 2396928 2401152 2434380 2462720 2595840 2596672 2628480 2637245 2771448 2776332 2803712 2847520 2955264 2996160 3001440 3002402 3164694 3195904 3201536 3245840 3417024 3461120 3464310 3470415 3504640 3694080 3695264 3701776 3895008 3994880 4001920 4205568 4219592 4271280 4272649 4503603 4556032 4619080 4627220 4793856 4802304 4868760 4925440 5191680 5193344 5256960 5274490 5542896 5552664 5607424 5695040 5910528 5992320 6002880 6004804 6329388 6391808 6403072 6491680 6834048 6928620 6940830 7009280 7388160 7390528 7403552 7506005 7790016 7911735 7989760 8003840 8411136 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17991353552640 18028835539208 19190777122816 19490633015360 20228116426752 20482464044544 20802502545240 22143204372480 22182226360320 22189336048256 22536044424010 23388759618432 23988471403520 25285145533440 25603080055680 27043253308812 27309952059392 27736670060320 28786165684224 29235949523040 31185012824576 33284004072384 33713527377920 33804066636015 34137440074240 35982707105280 36057671078416 38981266030720 40964928089088 41605005090480 44364452720640 44378672096512 45072088848020 46777519236864 47976942807040 50570291066880 51206160111360 54086506617624 54619904118784 55473340120640 57572331368448 58471899046080 62370025649152 66568008144768 67608133272030 68274880148480 71965414210560 72115342156832 77962532061440 81929856178176 83210010180960 88757344193024 90144177696040 93555038473728 95953885614080 101140582133760 102412320222720 108173013235248 110946680241280 116943798092160 124740051298304 133136016289536 135216266544060 136549760296960 143930828421120 144230684313664 155925064122880 163859712356352 166420020361920 177514688386048 180288355392080 187110076947456 204824640445440 216346026470496 221893360482560 233887596184320 249480102596608 266272032579072 270432533088120 273099520593920 287861656842240 288461368627328 311850128245760 332840040723840 355029376772096 360576710784160 374220153894912 409649280890880 432692052940992 443786720965120 467775192368640 532544065158144 540865066176240 576922737254656 623700256491520 665680081447680 710058753544192 721153421568320 748440307789824 819298561781760 865384105881984 887573441930240 935550384737280 1065088130316288 1081730132352480 1153845474509312 1247400512983040 1331360162895360 1442306843136640 1730768211763968 1775146883860480 1871100769474560 2130176260632576 2163460264704960 2307690949018624 2662720325790720 2884613686273280 3461536423527936 3550293767720960 3742201538949120 4326920529409920 4615381898037248 5325440651581440 5769227372546560 6923072847055872 8653841058819840 9230763796074496 10650881303162880 11538454745093120 13846145694111744 17307682117639680 23076909490186240 27692291388223488 34615364235279360 46153818980372480 69230728470558720 138461456941117440
• Sum of all divisors σ(n): 493196591799733752
• Sum of proper divisors (its aliquot sum) s(n): 354735134858616312
• 138461456941117440 is an abundant number, because the sum of its proper divisors (354735134858616312) is greater than itself. Its abundance is 216273677917498872

Bases of 138461456941117440

• Binary: 111101011111010011111011000100100000011101111000000000000₂
• Hexadecimal: 0x1EBE9F6240EF000
• Base-36: 11VCHN71V3EO

Squares and roots of 138461456941117440

• 138461456941117440 squared (138461456941117440²) is 19171575058256918904487315872153600
• 138461456941117440 cubed (138461456941117440³) is 2654524214422241453183841070869004537714163318784000
• The square root of 138461456941117440 is 372104094.2278349079
• The cube root of 138461456941117440 is 517340.2862371171

Scales and comparisons

• 138,461,456,941,117,440 seconds is equal to 4,402,646,041 years, 16 weeks, 4 days, 17 hours, 4 minutes.
• To count from 1 to 138,461,456,941,117,440 would take you about thirteen billion, two hundred seven million, nine hundred thirty-eight thousand, one hundred twenty-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 138461456941117440 cubic inches would be around 43111.7 feet tall.

Recreational maths with 138461456941117440

• 138461456941117440 backwards is 044711149654164831
• The number of decimal digits it has is: 18
• The sum of 138461456941117440's digits is 69
• More coming soon!