138972947137440

Names of 138972947137440

• Cardinal: 138972947137440 can be written as One hundred thirty-eight trillion, nine hundred seventy-two billion, nine hundred forty-seven million, one hundred thirty-seven thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3897294713744 × 10¹⁴

Factors of 138972947137440

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7705

Divisors of 138972947137440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 61 65 71 78 80 96 104 120 122 130 142 156 160 183 195 208 213 240 244 260 284 305 312 355 366 390 416 426 480 488 520 568 610 624 710 732 757 780 793 852 915 923 976 1040 1065 1136 1220 1248 1420 1464 1514 1560 1586 1704 1830 1846 1952 2080 2130 2271 2272 2379 2440 2769 2840 2928 3028 3120 3172 3408 3660 3692 3785 3965 4260 4331 4542 4615 4758 4880 5538 5680 5856 6056 6240 6344 6793 6816 7320 7384 7570 7930 8520 8662 9084 9230 9516 9760 9841 11076 11355 11360 11895 12112 12688 12993 13586 13845 14640 14768 15140 15860 17040 17324 18168 18460 19032 19682 20379 21655 22152 22710 23790 24224 25376 25986 27172 27690 29280 29523 29536 30280 31720 33965 34080 34648 36336 36920 38064 39364 40758 43310 44304 45420 46177 47580 49205 51972 53747 54344 55380 56303 59046 60560 63440 64965 67930 69296 72672 73840 76128 78728 81516 86620 88309 88608 90840 92354 95160 98410 101895 103944 107494 108688 110760 112606 118092 121120 126880 129930 135860 138531 138592 147615 147680 157456 161241 163032 168909 173240 176618 181680 184708 190320 196820 203790 207888 214988 217376 221520 225212 230885 236184 259860 264927 268735 271720 277062 281515 295230 314912 322482 326064 337818 346480 353236 363360 369416 380640 393640 407580 414373 415776 429976 441545 443040 450424 461770 472368 482303 519720 529854 537470 543440 554124 563030 590460 600301 644964 652128 675636 692655 692960 698711 706472 738832 787280 806205 815160 828746 844545 859952 883090 900848 923540 944736 964606 1039440 1059708 1074940 1086880 1108248 1126060 1180920 1200602 1243119 1289928 1324635 1351272 1385310 1397422 1412944 1446909 1477664 1574560 1612410 1630320 1657492 1689090 1719904 1766180 1800903 1801696 1847080 1929212 2071865 2078880 2096133 2119416 2149880 2216496 2252120 2361840 2401204 2411515 2486238 2579856 2649270 2702544 2770620 2794844 2825888 2893818 3001505 3224820 3260640 3278567 3314984 3378180 3493555 3532360 3601806 3694160 3858424 4143730 4192266 4238832 4299760 4432992 4504240 4723680 4802408 4823030 4972476 5142301 5159712 5298540 5386849 5405088 5541240 5589688 5787636 6003010 6215595 6269939 6449640 6557134 6629968 6756360 6987110 7064720 7203612 7234545 7388320 7716848 8287460 8384532 8477664 8599520 9004515 9008480 9604816 9646060 9835701 9944952 10284602 10480665 10597080 10773698 11082480 11179376 11575272 12006020 12431190 12539878 12899280 13114268 13259936 13512720 13974220 14129440 14407224 14469090 15426903 15433696 16160547 16392835 16574920 16769064 18009030 18809817 19209632 19292120 19671402 19889904 20569204 20961330 21194160 21547396 22164960 22358752 23150544 24012040 24862380 25079756 25711505 25798560 26228536 26934245 27025440 27948440 28814448 28938180 29420483 30853806 31349695 32321094 32785670 33149840 33538128 36018060 37619634 38584240 39342804 39779808 41138408 41922660 42388320 42621371 43094792 46301088 48024080 49178505 49724760 50159512 51423010 52457072 53868490 55896880 57628896 57876360 58840966 61707612 62699390 64642188 65571340 66299680 66849913 67076256 72036120 75239268 77134515 77168480 78685608 80802735 82276816 83845320 85242742 86189584 88261449 94049085 96048160 98357010 99449520 100319024 102846020 104914144 107736980 111793760 115752720 117681932 123415224 125398780 127864113 129284376 131142680 133699826 144072240 147102415 150478536 154269030 157371216 161605470 164553632 167690640 170485484 172379168 176522898 188098170 196714020 198899040 200549739 200638048 205692040 213106855 215473960 231505440 235363864 246830448 250797560 255728226 258568752 262285360 267399652 288144480 294204830 300957072 308538060 313680361 314742432 323210940 334249565 335381280 340970968 353045796 365103371 376196340 382466279 393428040 401099478 411384080 426213710 430947920 441307245 470727728 493660896 501595120 511456452 517137504 524570720 534799304 588409660 601914144 617076120 627360722 639320565 646421880 668499130 681941936 706091592 730206742 752392680 764932558 786856080 802198956 822768160 852427420 861895840 882614490 941041083 941455456 1002748695 1003190240 1022912904 1069598608 1095310113 1147398837 1176819320 1234152240 1254721444 1278641130 1292843760 1336998260 1363883872 1412183184 1460413484 1504785360 1529865116 1568401805 1573712160 1604397912 1704854840 1765228980 1825516855 1882082166 1912331395 2005497390 2045825808 2139197216 2190620226 2294797674 2353638640 2468304480 2509442888 2557282260 2585687520 2673996520 2824366368 2920826968 3009570720 3059730232 3136803610 3208795824 3409709680 3530457960 3651033710 3764164332 3824662790 4010994780 4077844693 4091651616 4381240452 4589595348 4705205415 4707277280 4746343823 5018885776 5114564520 5347993040 5476550565 5736994185 5841653936 6119460464 6273607220 6417591648 6819419360 7060915920 7302067420 7528328664 7649325580 8021989560 8155689386 8762480904 9179190696 9410410830 9492687646 10037771552 10229129040 10695986080 10953101130 11473988370 11683307872 12233534079 12238920928 12547214440 14121831840 14239031469 14604134840 15056657328 15298651160 16043979120 16311378772 17524961808 18358381392 18820821660 18985375292 20389223465 20458258080 21906202260 22271305631 22947976740 23731719115 24467068158 25094428880 28478062938 29208269680 30113314656 30597302320 32087958240 32622757544 35049923616 36716762784 37641643320 37970750584 40778446930 43812404520 44542611262 45895953480 47463438230 48934136316 50188857760 56956125876 58416539360 61167670395 61194604640 65245515088 66813916893 71195157345 75283286640 75941501168 81556893860 87624809040 89085222524 91791906960 94926876460 97868272632 111356528155 113912251752 122335340790 130491030176 133627833786 142390314690 150566573280 151883002336 163113787720 175249618080 178170445048 183583813920 189853752920 195736545264 222713056310 227824503504 244670681580 267255667572 284780629380 289526973203 326227575440 334069584465 356340890096 379707505840 391473090528 445426112620 455649007008 489341363160 534511335144 569561258760 579053946406 652455150880 668139168930 712681780192 759415011680 868580919609 890852225240 978682726320 1069022670288 1139122517520 1158107892812 1336278337860 1447634866015 1737161839218 1781704450480 1957365452640 2138045340576 2278245035040 2316215785624 2672556675720 2895269732030 3474323678436 3563408900960 4342904598045 4632431571248 5345113351440 5790539464060 6948647356872 8685809196090 9264863142496 10690226702880 11581078928120 13897294713744 17371618392180 23162157856240 27794589427488 34743236784360 46324315712480 69486473568720 138972947137440
• Sum of all divisors σ(n): 486629867695104
• Sum of proper divisors (its aliquot sum) s(n): 347656920557664
• 138972947137440 is an abundant number, because the sum of its proper divisors (347656920557664) is greater than itself. Its abundance is 208683973420224

Bases of 138972947137440

• Binary: 11111100110010100101001001001011100001110100000₂
• Hexadecimal: 0x7E652925C3A0
• Base-36: 1D9FAGJTEO

Squares and roots of 138972947137440

• 138972947137440 squared (138972947137440²) is 19313480036065692690249753600
• 138972947137440 cubed (138972947137440³) is 2684051240092160294917235227163785334784000
• The square root of 138972947137440 is 11788678.7697960453
• The cube root of 138972947137440 is 51797.6538664795

Scales and comparisons

• 138,972,947,137,440 seconds is equal to 4,418,909 years, 44 weeks, 11 hours, 4 minutes.
• To count from 1 to 138,972,947,137,440 would take you about eleven million, forty-seven thousand, two hundred seventy-four 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 138972947137440 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138972947137440

• 138972947137440 backwards is 044731749279831
• The number of decimal digits it has is: 15
• The sum of 138972947137440's digits is 69
• More coming soon!