138716368934400

Names of 138716368934400

• Cardinal: 138716368934400 can be written as One hundred thirty-eight trillion, seven hundred sixteen billion, three hundred sixty-eight million, nine hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.387163689344 × 10¹⁴

Factors of 138716368934400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3399

Divisors of 138716368934400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 683 720 768 800 900 960 1093 1152 1200 1280 1366 1440 1536 1600 1613 1800 1920 2049 2186 2304 2400 2560 2732 2880 3200 3226 3279 3415 3600 3840 4098 4372 4608 4800 4839 5464 5465 5760 6147 6400 6452 6558 6830 7200 7680 8065 8196 8744 9600 9678 9837 10245 10928 10930 11520 12294 12800 12904 13116 13660 14400 14517 16130 16392 16395 17075 17488 19200 19356 19674 20490 21856 21860 23040 24195 24588 25808 26232 27320 27325 28800 29034 30735 32260 32784 32790 34150 34976 38400 38712 39348 40325 40980 43712 43720 48390 49176 49185 51225 51616 52464 54640 54650 57600 58068 61470 64520 65568 65580 68300 69952 72585 77424 78696 80650 81960 81975 87424 87440 96780 98352 98370 102450 103232 104928 109280 109300 115200 116136 120975 122940 129040 131136 131160 136600 139904 145170 153675 154848 157392 161300 163920 163950 174848 174880 193560 196704 196740 204900 206464 209856 218560 218600 232272 241950 245880 245925 258080 262272 262320 273200 279808 290340 307350 309696 314784 322600 327840 327900 349696 349760 362925 387120 393408 393480 409800 412928 419712 437120 437200 464544 483900 491760 491850 516160 524544 524640 546400 559616 580680 614700 619392 629568 645200 655680 655800 699520 725850 746519 774240 786816 786960 819600 825856 839424 874240 874400 929088 967800 983520 983700 1032320 1049088 1049280 1092800 1101679 1161360 1229400 1238784 1259136 1290400 1311360 1311600 1399040 1451700 1493038 1548480 1573632 1573920 1639200 1678848 1748480 1748800 1763009 1858176 1935600 1967040 1967400 2064640 2098560 2185600 2203358 2239557 2322720 2458800 2477568 2518272 2580800 2622720 2623200 2798080 2903400 2986076 3096960 3147264 3147840 3278400 3305037 3497600 3526018 3716352 3732595 3871200 3934080 3934800 4129280 4197120 4371200 4406716 4479114 4645440 4917600 5036544 5161600 5245440 5246400 5289027 5508395 5806800 5972152 6193920 6295680 6556800 6610074 6718671 6995200 7052036 7432704 7465190 7742400 7868160 7869600 8394240 8742400 8813432 8815045 8958228 9290880 9835200 9915111 10323200 10492800 10578054 11016790 11197785 11613600 11944304 12387840 12591360 13113600 13220148 13437342 13990400 14104072 14930380 15484800 15736320 15739200 15867081 16525185 17626864 17630090 17916456 18581760 18662975 19670400 19830222 20646400 20985600 21156108 22033580 22395570 23227200 23888608 25182720 26227200 26440296 26445135 26874684 27541975 28208144 29860760 30969600 31478400 31734162 33050370 33593355 35253728 35260180 35832912 37163520 37325950 39340800 39660444 41971200 42312216 44067160 44075225 44791140 46454400 47777216 49575555 52880592 52890270 53749368 55083950 55988925 56416288 59721520 61939200 62956800 63468324 66100740 67186710 70507456 70520360 71665824 74651900 78681600 79320888 79335405 82625925 84624432 88134320 88150450 89582280 92908800 95554432 99151110 105761184 105780540 107498736 110167900 111977850 112832576 119443040 125913600 126936648 132201480 132225675 134373420 141014912 141040720 143331648 149303800 158641776 158670810 165251850 167966775 169248864 176268640 176300900 179164560 185817600 191108864 198302220 211522368 211561080 214997472 220335800 223955700 225665152 238886080 247877775 253873296 264402960 264451350 268746840 282029824 282081440 286663296 298607600 317283552 317341620 330503700 335933550 338497728 352537280 352601800 358329120 382217728 396604440 396677025 423044736 423122160 429994944 440671600 447911400 451330304 477772160 495755550 507746592 528805920 528902700 537493680 564059648 564162880 573326592 597215200 634567104 634683240 661007400 671867100 676995456 705074560 705203600 716658240 793208880 793354050 846089472 846244320 859989888 881343200 895822800 902660608 955544320 991511100 1015493184 1057611840 1057805400 1074987360 1128325760 1146653184 1194430400 1204135147 1269134208 1269366480 1322014800 1343734200 1353990912 1410149120 1410407200 1433316480 1586417760 1586708100 1692178944 1692488640 1719979776 1762686400 1791645600 1911088640 1983022200 2030986368 2115223680 2115610800 2149974720 2256651520 2388860800 2408270294 2538268416 2538732960 2644029600 2687468400 2707981824 2820298240 2820814400 2866632960 3172835520 3173416200 3384977280 3439959552 3525372800 3583291200 3612405441 3966044400 4061972736 4230447360 4231221600 4299949440 4513303040 4777721600 4816540588 5076536832 5077465920 5288059200 5374936800 5641628800 5733265920 6020675735 6345671040 6346832400 6769954560 7050745600 7166582400 7224810882 7932088800 8123945472 8460894720 8462443200 8599898880 9555443200 9633081176 10154931840 10576118400 10749873600 10837216323 11283257600 12041351470 12691342080 12693664800 13539909120 14101491200 14333164800 14449621764 15864177600 16924886400 17199797760 18062027205 19266162352 20309863680 21152236800 21499747200 21674432646 22566515200 24082702940 25382684160 25387329600 28666329600 28899243528 30103378675 31728355200 33849772800 36124054410 38532324704 40619727360 42304473600 42999494400 43348865292 48165405880 50774659200 54186081615 57798487056 60206757350 63456710400 67699545600 72248108820 77064649408 85998988800 86697730584 90310136025 96330811760 101549318400 108372163230 115596974112 120413514700 126913420800 144496217640 154129298816 173395461168 180620272050 192661623520 203098636800 216744326460 231193948224 240827029400 270930408075 288992435280 308258597632 346790922336 361240544100 385323247040 433488652920 462387896448 481654058800 541860816150 577984870560 616517195264 693581844672 722481088200 770646494080 866977305840 924775792896 963308117600 1083721632300 1155969741120 1387163689344 1444962176400 1541292988160 1733954611680 1849551585792 1926616235200 2167443264600 2311939482240 2774327378688 2889924352800 3082585976320 3467909223360 3853232470400 4334886529200 4623878964480 5548654757376 5779848705600 6935818446720 7706464940800 8669773058400 9247757928960 11559697411200 13871636893440 15412929881600 17339546116800 23119394822400 27743273786880 34679092233600 46238789644800 69358184467200 138716368934400
• Sum of all divisors σ(n): 497917779209136
• Sum of proper divisors (its aliquot sum) s(n): 359201410274736
• 138716368934400 is an abundant number, because the sum of its proper divisors (359201410274736) is greater than itself. Its abundance is 220485041340336

Bases of 138716368934400

• Binary: 11111100010100101101011111001010001011000000000₂
• Hexadecimal: 0x7E296BE51600
• Base-36: 1D65F4IGW0

Squares and roots of 138716368934400

• 138716368934400 squared (138716368934400²) is 19242231010344573391503360000
• 138716368934400 cubed (138716368934400³) is 2669212415951910305444757536017219584000000
• The square root of 138716368934400 is 11777791.3436433403
• The cube root of 138716368934400 is 51765.7571638381

Scales and comparisons

• 138,716,368,934,400 seconds is equal to 4,410,751 years, 23 weeks, 4 days, 8 hours.
• To count from 1 to 138,716,368,934,400 would take you about eleven million, twenty-six thousand, eight hundred seventy-eight 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 138716368934400 cubic inches would be around 4313.8 feet tall.

Recreational maths with 138716368934400

• 138716368934400 backwards is 004439863617831
• The number of decimal digits it has is: 15
• The sum of 138716368934400's digits is 63
• More coming soon!