105137984906136

Names of 105137984906136

• Cardinal: 105137984906136 can be written as One hundred five trillion, one hundred thirty-seven billion, nine hundred eighty-four million, nine hundred six thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.05137984906136 × 10¹⁴

Factors of 105137984906136

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 135926

Divisors of 105137984906136

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 29 36 39 42 52 54 56 58 63 72 78 81 84 87 91 104 108 116 117 126 151 156 162 168 174 182 189 203 216 232 234 243 252 261 273 302 312 324 348 351 364 377 378 406 453 468 486 504 522 546 567 604 609 648 696 702 728 754 756 783 812 819 906 936 972 1044 1053 1057 1092 1131 1134 1208 1218 1359 1404 1508 1512 1566 1624 1638 1701 1812 1827 1944 1963 2088 2106 2114 2184 2262 2268 2349 2436 2457 2639 2718 2808 3016 3132 3159 3171 3276 3393 3402 3624 3654 3926 4077 4212 4228 4379 4524 4536 4698 4872 4914 5278 5436 5481 5889 6264 6318 6342 6552 6786 6804 7047 7308 7371 7852 7917 8154 8424 8456 8758 9048 9396 9513 9828 10179 10556 10872 10962 11778 12231 12636 12684 13137 13572 13608 13741 14094 14616 14742 15704 15834 16308 16443 17516 17667 18792 19026 19656 20358 21112 21924 22113 23556 23751 24462 25272 25368 26274 27144 27482 28188 28539 29484 30537 30653 31668 32616 32886 35032 35334 36693 38052 39411 40716 41223 43848 44226 47112 47502 48924 49329 52548 53001 54964 56376 56927 57078 58968 61074 61306 63336 65772 70668 71253 73386 76104 78822 81432 82446 85617 88452 91611 91959 95004 97848 98658 105096 106002 109928 113854 114156 118233 122148 122612 123669 131544 135721 141336 142506 146772 157644 159003 164892 170781 171234 176904 183222 183918 190008 197316 212004 213759 227708 228312 236466 244296 245224 247338 256851 271442 275877 285012 293544 315288 318006 329784 341562 342468 354699 366444 367836 371007 394632 398489 407163 424008 427518 455416 472932 477009 494676 512343 513702 542884 551754 570024 636012 641277 683124 684936 709398 732888 735672 742014 796978 814326 827631 855036 945864 950047 954018 989352 1024686 1027404 1064097 1085768 1103508 1113021 1195467 1221489 1272024 1282554 1366248 1418796 1484028 1537029 1593956 1628652 1655262 1710072 1764373 1900094 1908036 2049372 2054808 2128194 2207016 2226042 2390934 2442978 2482893 2565108 2837592 2850141 2968056 3074058 3187912 3257304 3310524 3339063 3528746 3586401 3664467 3800188 3816072 3935909 4098744 4256388 4452084 4611087 4781868 4885956 4965786 5130216 5293119 5700282 6148116 6621048 6678126 7057492 7172802 7328934 7448679 7600376 7871818 8512776 8550423 8904168 9222174 9563736 9771912 9931572 10586238 10759203 10993401 11400564 11807727 12296232 12350611 13356252 13833261 14114984 14345604 14657868 14897358 15743636 15879357 17100846 18444348 19863144 20493871 21172476 21518406 21986802 22801128 23615454 24701222 25651269 26712504 27551363 27666522 28691208 29315736 29794716 31487272 31758714 32277609 32980203 34201692 35423181 36888696 37051833 40987742 42344952 43036812 43973604 47230908 47638071 49402444 51166817 51302538 55102726 55333044 59589432 61481613 63517428 64555218 65960406 68403384 70846362 74103666 76953807 81975484 82654089 86073624 87947208 94461816 95276142 96832827 98804888 102333634 102605076 106269543 110205452 110666088 111155499 122963226 127034856 129110436 131920812 141692724 142914213 143457097 148207332 153500451 153907614 163950968 165308178 184444839 190552284 193665654 204667268 205210152 212539086 220410904 222310998 230861421 245926452 247962267 258220872 263841624 266420323 283385448 285828426 286914194 296414664 307000902 307815228 318808629 330616356 333466497 358167719 368889678 381104568 387331308 409334536 425078172 428742639 430371291 444621996 460501353 461722842 491852904 495924534 532840646 553334517 571656852 573828388 594322259 614001804 615630456 637617258 661232712 666932994 716335438 737779356 743886801 774662616 799260969 850156344 857485278 860742582 889243992 921002706 923445684 956425887 991849068 1000399491 1065681292 1074503157 1106669034 1143313704 1147656776 1188644518 1228003608 1275234516 1291113873 1333865988 1381504059 1432670876 1475558712 1487773602 1598521938 1660003551 1714970556 1721485164 1782966777 1842005412 1846891368 1864942261 1912851774 1983698136 2000798982 2131362584 2149006314 2213338068 2231660403 2377289036 2397782907 2550469032 2582227746 2667731976 2763008118 2865341752 2975547204 3001198473 3197043876 3223509471 3320007102 3429941112 3442970328 3565933554 3684010824 3729884522 3825703548 3873341619 4001597964 4144512177 4160255813 4298012628 4426676136 4463320806 4754578072 4795565814 4980010653 5164455492 5348900331 5526016236 5594826783 5951094408 6002396946 6394087752 6447018942 6640014204 6694981209 7131867108 7193348721 7459769044 7651407096 7726189367 7746683238 8003195928 8289024354 8320511626 8596025256 8926641612 9591131628 9670528413 9960021306 10328910984 10697800662 11052032472 11189653566 11620024857 12004793892 12433536531 12480767439 12894037884 13280028408 13389962418 14263734216 14386697442 14919538088 15452378734 15493366476 16046700993 16578048708 16641023252 16784480349 17853283224 19182263256 19341056826 19920042612 21395601324 21580046163 22379307132 23178568101 23240049714 24009587784 24867073062 24961534878 25788075768 26779924836 28773394884 29011585239 30904757468 30986732952 32093401986 33156097416 33282046504 33568960698 34860074571 37442302317 38682113652 39840085224 42791202648 43160092326 44758614264 46357136202 46480099428 48140102979 49734146124 49923069756 50353441047 53559849672 54083325569 57546789768 58023170478 61809514936 64186803972 64740138489 67137921396 69535704303 69720149142 74884604634 77364227304 86320184652 87034755717 92714272404 92960198856 96280205958 99468292248 99846139512 100706882094 108166651138 112326906951 116046340956 128373607944 129480276978 134275842792 139071408606 139440298284 144420308937 149769209268 151060323141 162249976707 172640369304 174069511434 185428544808 192560411916 201413764188 208607112909 216333302276 224653813902 232092681912 258960553956 278142817212 278880596568 288840617874 299538418536 302120646282 324499953414 336980720853 348139022868 385120823832 402827528376 417214225818 432666604552 449307627804 453180969423 486749930121 517921107912 556285634424 577681235748 604241292564 625821338727 648999906828 673961441706 696278045736 834428451636 898615255608 906361938846 973499860242 1010942162559 1155362471496 1208482585128 1251642677454 1297999813656 1347922883412 1460249790363 1668856903272 1812723877692 1877464016181 1946999720484 2021884325118 2503285354908 2695845766824 2920499580726 3625447755384 3754928032362 3893999440968 4043768650236 4380749371089 5006570709816 5840999161452 7509856064724 8087537300472 8761498742178 11681998322904 13142248113267 15019712129448 17522997484356 26284496226534 35045994968712 52568992453068 105137984906136
• Sum of all divisors σ(n): 378465031526400
• Sum of proper divisors (its aliquot sum) s(n): 273327046620264
• 105137984906136 is an abundant number, because the sum of its proper divisors (273327046620264) is greater than itself. Its abundance is 168189061714128

Bases of 105137984906136

• Binary: 10111111001111101011000001111100010001110011000₂
• Hexadecimal: 0x5F9F583E2398
• Base-36: 119NQ1MPI0

Squares and roots of 105137984906136

• 105137984906136 squared (105137984906136²) is 11053995870122881360730450496
• 105137984906136 cubed (105137984906136³) is 1162194850945469180308043557248087554643456
• The square root of 105137984906136 is 10253681.5293891393
• The cube root of 105137984906136 is 47197.5964892969

Scales and comparisons

• 105,137,984,906,136 seconds is equal to 3,343,062 years, 36 weeks, 5 days, 7 hours, 15 minutes, 36 seconds.
• To count from 1 to 105,137,984,906,136 would take you about eight million, three hundred fifty-seven thousand, six hundred fifty-six 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 105137984906136 cubic inches would be around 3933.1 feet tall.

Recreational maths with 105137984906136

• 105137984906136 backwards is 631609489731501
• 105137984906136 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 105137984906136's digits is 63
• More coming soon!