137956357275648

Names of 137956357275648

• Cardinal: 137956357275648 can be written as One hundred thirty-seven trillion, nine hundred fifty-six billion, three hundred fifty-seven million, two hundred seventy-five thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.37956357275648 × 10¹⁴

Factors of 137956357275648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 216

Divisors of 137956357275648

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 163 186 192 204 248 256 272 289 326 372 384 408 489 496 512 527 544 578 652 744 768 816 867 961 978 992 1024 1054 1088 1156 1304 1488 1536 1581 1632 1734 1922 1956 1984 2048 2108 2176 2312 2608 2771 2883 2976 3072 3162 3264 3468 3844 3912 3968 4096 4216 4352 4624 5053 5216 5542 5766 5952 6144 6324 6528 6936 7688 7824 7936 8192 8313 8432 8704 8959 9248 10106 10432 11084 11532 11904 12288 12648 13056 13872 15159 15376 15648 15872 16337 16384 16626 16864 17408 17918 18496 20212 20864 22168 23064 23808 24576 25296 26112 26877 27744 29791 30318 30752 31296 31744 32674 32768 33252 33728 34816 35836 36992 40424 41728 44336 46128 47107 47616 49011 49152 50592 52224 53754 55488 59582 60636 61504 62592 63488 65348 66504 67456 69632 71672 73984 80848 83456 85901 88672 89373 92256 94214 95232 98022 98304 101184 104448 107508 110976 119164 121272 123008 125184 126976 130696 133008 134912 139264 141321 143344 147968 156643 161696 166912 171802 177344 178746 184512 188428 190464 196044 202368 208896 215016 221952 238328 242544 246016 250368 253952 257703 261392 266016 269824 277729 278528 282642 286688 295936 313286 323392 333824 343604 354688 357492 369024 376856 380928 392088 404736 417792 430032 443904 469929 476656 485088 492032 500736 506447 507904 515406 522784 532032 539648 555458 557056 565284 573376 591872 626572 646784 667648 687208 709376 714984 738048 753712 761856 784176 809472 833187 835584 860064 887808 939858 953312 970176 984064 1001472 1012894 1015808 1030812 1045568 1064064 1079296 1110916 1130568 1146752 1183744 1253144 1293568 1335296 1374416 1418752 1429968 1460317 1476096 1507424 1519341 1523712 1568352 1618944 1666374 1671168 1720128 1775616 1879716 1906624 1940352 1968128 2002944 2025788 2061624 2091136 2128128 2158592 2221832 2261136 2293504 2367488 2506288 2587136 2662931 2670592 2748832 2837504 2859936 2920634 2952192 3014848 3038682 3047424 3136704 3237888 3332748 3440256 3551232 3759432 3813248 3880704 3936256 4005888 4051576 4123248 4182272 4256256 4317184 4380951 4443664 4522272 4587008 4734976 4855933 5012576 5174272 5325862 5341184 5497664 5675008 5719872 5841268 5904384 6029696 6077364 6273408 6475776 6665496 6880512 7102464 7518864 7626496 7761408 7872512 7988793 8011776 8103152 8246496 8364544 8512512 8609599 8634368 8761902 8887328 9044544 9174016 9469952 9711866 10025152 10348544 10651724 10995328 11350016 11439744 11682536 11808768 12059392 12154728 12546816 12951552 13330992 13761024 14204928 14567799 15037728 15252992 15522816 15745024 15977586 16023552 16206304 16492992 16729088 17025024 17219198 17268736 17523804 17774656 18089088 18348032 19423732 20050304 20697088 21303448 21990656 22700032 22879488 23365072 23617536 24118784 24309456 25093632 25828797 25903104 26661984 27522048 28409856 29135598 30075456 30505984 31045632 31490048 31955172 32412608 32985984 33458176 34050048 34438396 35047608 35549312 36178176 36696064 38847464 40100608 41394176 42606896 43981312 45269827 45400064 45758976 46730144 47235072 48237568 48618912 50187264 51657594 51806208 53323968 55044096 58271196 60150912 61011968 62091264 63910344 64825216 65971968 66916352 68100096 68876792 70095216 71098624 72356352 73392128 77694928 80201216 82550861 82788352 85213792 87962624 90539654 90800128 91517952 93460288 94470144 96475136 97237824 100374528 103315188 106647936 110088192 116542392 120301824 122023936 124182528 127820688 129650432 131943936 133832704 135809481 136200192 137753584 140190432 142197248 144712704 146784256 155389856 160402432 165101722 165576704 170427584 175925248 181079308 183035904 186920576 192950272 194475648 200749056 206630376 213295872 220176384 233084784 240603648 244047872 247652583 248365056 255641376 259300864 263887872 267665408 271618962 272400384 275507168 280380864 284394496 289425408 293568512 310779712 320804864 330203444 340855168 351850496 362158616 366071808 373841152 385900544 388951296 401498112 413260752 426591744 440352768 466169568 481207296 488095744 495305166 496730112 511282752 518601728 527775744 535330816 543237924 551014336 560761728 568788992 578850816 621559424 641609728 660406888 681710336 703700992 724317232 732143616 747682304 771801088 777902592 802996224 826521504 853183488 880705536 932339136 962414592 976191488 990610332 1022565504 1037203456 1055551488 1086475848 1102028672 1121523456 1137577984 1157701632 1243118848 1283219456 1320813776 1363420672 1403364637 1407401984 1448634464 1464287232 1495364608 1543602176 1555805184 1605992448 1653043008 1706366976 1864678272 1924829184 1981220664 2045131008 2074406912 2111102976 2172951696 2204057344 2243046912 2275155968 2315403264 2486237696 2566438912 2641627552 2726841344 2806729274 2814803968 2897268928 2928574464 2990729216 3111610368 3306086016 3412733952 3729356544 3849658368 3962441328 4090262016 4148813824 4210093911 4222205952 4345903392 4408114688 4486093824 4550311936 4630806528 4972475392 5132877824 5283255104 5453682688 5613458548 5794537856 5981458432 6223220736 6612172032 6825467904 7458713088 7699316736 7924882656 8180524032 8297627648 8420187822 8444411904 8691806784 8816229376 8972187648 9100623872 9944950784 10566510208 10907365376 11226917096 11589075712 11962916864 12446441472 13224344064 13650935808 14917426176 15398633472 15849765312 16361048064 16595255296 16840375644 17383613568 17632458752 17944375296 19889901568 21133020416 21814730752 22453834192 23178151424 23925833728 24892882944 26448688128 27301871616 29834852352 31699530624 32722096128 33680751288 34767227136 35264917504 35888750592 39779803136 42266040832 43629461504 44907668384 46356302848 47851667456 49785765888 52897376256 59669704704 63399061248 65444192256 67361502576 69534454272 70529835008 71777501184 79559606272 84532081664 87258923008 89815336768 92712605696 105794752512 119339409408 126798122496 130888384512 134723005152 139068908544 141059670016 143555002368 159119212544 169064163328 179630673536 185425211392 211589505024 238678818816 253596244992 261776769024 269446010304 278137817088 282119340032 338128326656 359261347072 370850422784 423179010048 477357637632 507192489984 538892020608 556275634176 676256653312 718522694144 741700845568 846358020096 1014384979968 1077784041216 1112551268352 1352513306624 1437045388288 1483401691136 2028769959936 2155568082432 2225102536704 2705026613248 2874090776576 4057539919872 4311136164864 4450205073408 5748181553152 8115079839744 8622272329728 11496363106304 17244544659456 22992726212608 34489089318912 45985452425216 68978178637824 137956357275648
• Sum of all divisors σ(n): 406294149780480
• Sum of proper divisors (its aliquot sum) s(n): 268337792504832
• 137956357275648 is an abundant number, because the sum of its proper divisors (268337792504832) is greater than itself. Its abundance is 130381435229184

Bases of 137956357275648

• Binary: 11111010111100001110111101010111000000000000000₂
• Hexadecimal: 0x7D7877AB8000
• Base-36: 1CWG9X6ZUO

Squares and roots of 137956357275648

• 137956357275648 squared (137956357275648²) is 19031956512766236864653819904
• 137956357275648 cubed (137956357275648³) is 2625579392329774779277730719358025876897792
• The square root of 137956357275648 is 11745482.4198773547
• The cube root of 137956357275648 is 51671.0443576745

Scales and comparisons

• 137,956,357,275,648 seconds is equal to 4,386,585 years, 22 weeks, 4 days, 2 hours, 20 minutes, 48 seconds.
• To count from 1 to 137,956,357,275,648 would take you about ten million, nine hundred sixty-six thousand, four hundred sixty-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 137956357275648 cubic inches would be around 4305.9 feet tall.

Recreational maths with 137956357275648

• 137956357275648 backwards is 846572753659731
• The number of decimal digits it has is: 15
• The sum of 137956357275648's digits is 78
• More coming soon!