138728963486400
138,728,963,486,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138728963486400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138728963486400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138728963486400:
26 × 3 × 52 × 7 × 293 × 31 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 29 × 29 × 31 × 43 × 127)See below for interesting mathematical facts about the number 138728963486400 from the Numbermatics database.
Names of 138728963486400
- Cardinal: 138728963486400 can be written as One hundred thirty-eight trillion, seven hundred twenty-eight billion, nine hundred sixty-three million, four hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.387289634864 × 1014
Factors of 138728963486400
Divisors of 138728963486400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 31 32 35 40 42 43 48 50 56 58 60 62 64 70 75 80 84 86 87 93 96 100 105 112 116 120 124 127 129 140 145 150 155 160 168 172 174 175 186 192 200 203 210 215 217 224 232 240 248 254 258 280 290 300 301 310 320 336 344 348 350 372 381 400 406 420 430 434 435 448 464 465 480 496 508 516 525 560 580 600 602 609 620 635 645 651 672 688 696 700 725 744 762 775 800 812 840 841 860 868 870 889 899 903 928 930 960 992 1015 1016 1032 1050 1075 1085 1120 1160 1200 1204 1218 1240 1247 1270 1290 1302 1333 1344 1376 1392 1400 1450 1488 1505 1524 1550 1600 1624 1680 1682 1720 1736 1740 1778 1798 1806 1856 1860 1905 1984 2030 2032 2064 2100 2150 2170 2175 2240 2320 2325 2400 2408 2436 2480 2494 2523 2540 2580 2604 2666 2667 2697 2752 2784 2800 2900 2976 3010 3045 3048 3100 3175 3225 3248 3255 3360 3364 3440 3472 3480 3556 3596 3612 3683 3720 3741 3810 3937 3999 4060 4064 4128 4200 4205 4300 4340 4350 4445 4495 4515 4640 4650 4800 4816 4872 4960 4988 5046 5075 5080 5160 5208 5332 5334 5394 5425 5461 5568 5600 5800 5887 5952 6020 6090 6096 6200 6235 6293 6350 6450 6496 6510 6665 6720 6728 6880 6944 6960 7112 7192 7224 7366 7440 7482 7525 7620 7874 7998 8120 8128 8256 8400 8410 8600 8680 8700 8729 8890 8990 9030 9280 9300 9331 9525 9632 9744 9920 9976 10092 10150 10160 10320 10416 10664 10668 10788 10850 10922 11049 11200 11600 11774 11811 12040 12180 12192 12400 12470 12586 12615 12700 12900 12992 13020 13330 13335 13456 13485 13760 13888 13920 14224 14384 14448 14732 14880 14964 15050 15225 15240 15748 15996 16240 16275 16383 16800 16820 17200 17360 17400 17458 17661 17780 17980 18060 18415 18600 18662 18705 18879 19050 19264 19488 19685 19952 19995 20184 20300 20320 20640 20832 21025 21328 21336 21576 21700 21844 22098 22225 22475 22575 23200 23548 23622 24080 24360 24384 24389 24800 24940 25172 25230 25400 25781 25800 26040 26071 26187 26660 26670 26912 26970 27305 27559 27840 27993 28448 28768 28896 29435 29464 29760 29928 30100 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27335756352 27492858400 27812542800 27969549090 28474746200 28805847900 28901867393 29834185696 29898483510 30726237760 30862950720 31210115520 31891715744 31965198960 32262549648 32991430080 33030705592 33606822550 34136063850 34169695440 34690913600 35237227200 36411801440 37083390400 37292732120 37667380800 38407797200 38578688400 39012644400 39864644680 39956498700 40328187060 41239287600 41288381990 42620265280 42712119300 43016732864 43694161728 44751278544 45514751800 45559593920 46089356640 46615915150 47837573616 49546058388 49830805850 50410233825 51438251200 52016859200 52036370400 53275331600 53770916080 54617702160 54985716800 55625085600 55939098180 56949492400 57611695800 57803734786 59668371392 59796967020 61932572985 63783431488 63930397920 64525099296 66061411184 67213645100 68272127700 68339390880 69923872725 72823602880 74585464240 74746208775 76815594400 77157376800 78025288800 79729289360 79912997400 80656374120 82478575200 82576763980 85424238600 86705602179 89502557088 91029503600 92178713280 93231830300 95675147232 99092116776 99661611700 100820467650 103220954975 104072740800 106550663200 107541832160 109235404320 111250171200 111878196360 113898984800 115223391600 115607469572 119593934040 123865145970 127860795840 129050198592 132122822368 134427290200 136544255400 136678781760 139847745450 144509336965 149170928480 149492417550 153631188800 154314753600 156050577600 159458578720 159825994800 161312748240 164957150400 165153527960 170848477200 173411204358 179005114176 182059007200 186463660600 191350294464 198184233552 199323223400 201640935300 206441909950 213101326400 215083664320 218470808640 223756392720 227797969600 230446783200 231214939144 239187868080 247730291940 264245644736 268854580400 273088510800 279695490900 289018673930 298341856960 298984835100 309662864925 318917157440 319651989600 322625496480 330307055920 341696954400 346822408716 364118014400 372927321200 396368467104 398646446800 403281870600 412883819900 433528010895 447512785440 460893566400 462429878288 478375736160 495460583880 537709160800 546177021600 559390981800 578037347860 597969670200 619325729850 639303979200 645250992960 660614111840 683393908800 693644817432 722546684825 745854642400 792736934208 797292893600 806563741200 825767639800 867056021790 895025570880 924859756576 956751472320 990921167760 1075418321600 1092354043200 1118781963600 1156074695720 1195939340400 1238651459700 1321228223680 1387289634864 1445093369650 1491709284800 1594585787200 1613127482400 1651535279600 1734112043580 1849719513152 1981842335520 2167640054475 2237563927200 2312149391440 2391878680800 2477302919400 2774579269728 2890186739300 3226254964800 3303070559200 3468224087160 3963684671040 4335280108950 4475127854400 4624298782880 4783757361600 4954605838800 5549158539456 5780373478600 6606141118400 6936448174320 8670560217900 9248597565760 9909211677600 11560746957200 13872896348640 17341120435800 19818423355200 23121493914400 27745792697280 34682240871600 46242987828800 69364481743200 138728963486400
- Sum of all divisors σ(n): 573536898908160
- Sum of proper divisors (its aliquot sum) s(n): 434807935421760
- 138728963486400 is an abundant number, because the sum of its proper divisors (434807935421760) is greater than itself. Its abundance is 296078971935360
Bases of 138728963486400
- Binary: 111111000101100010110101001011010110010110000002
- Hexadecimal: 0x7E2C5A96B2C0
- Base-36: 1D6B7EZFEO
Squares and roots of 138728963486400
- 138728963486400 squared (1387289634864002) is 19245725310010904442984960000
- 138728963486400 cubed (1387289634864003) is 2669939523801787082856700046464364544000000
-
The
square root of 138728963486400 is 11778326.0052691695 -
The
cube root of 138728963486400 is 51767.3237820989
Scales and comparisons
How big is 138728963486400?- 138,728,963,486,400 seconds is equal to 4,411,151 years, 47 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 138,728,963,486,400 would take you about eleven million, twenty-seven thousand, eight hundred seventy-nine 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 138728963486400 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138728963486400
- 138728963486400 backwards is 004684369827831
- The number of decimal digits it has is: 15
- The sum of 138728963486400's digits is 69
- More coming soon!
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"Number 138728963486400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138728963486400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138728963486400/
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The information we have on file for 138728963486400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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