138957638054400
138,957,638,054,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138957638054400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138957638054400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138957638054400:
29 × 33 × 52 × 11 × 19 × 1923811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 19 × 1923811)See below for interesting mathematical facts about the number 138957638054400 from the Numbermatics database.
Names of 138957638054400
- Cardinal: 138957638054400 can be written as One hundred thirty-eight trillion, nine hundred fifty-seven billion, six hundred thirty-eight million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.389576380544 × 1014
Factors of 138957638054400
Divisors of 138957638054400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 108 110 114 120 128 132 135 144 150 152 160 165 171 176 180 190 192 198 200 209 216 220 225 228 240 256 264 270 275 285 288 297 300 304 320 330 342 352 360 380 384 396 400 418 432 440 450 456 475 480 495 512 513 528 540 550 570 576 594 600 608 627 640 660 675 684 704 720 760 768 792 800 825 836 855 864 880 900 912 950 960 990 1026 1045 1056 1080 1100 1140 1152 1188 1200 1216 1254 1280 1320 1350 1368 1408 1425 1440 1485 1520 1536 1584 1600 1650 1672 1710 1728 1760 1800 1824 1881 1900 1920 1980 2052 2090 2112 2160 2200 2280 2304 2376 2400 2432 2475 2508 2560 2565 2640 2700 2736 2816 2850 2880 2970 3040 3135 3168 3200 3300 3344 3420 3456 3520 3600 3648 3762 3800 3840 3960 4104 4180 4224 4275 4320 4400 4560 4608 4752 4800 4864 4950 5016 5130 5225 5280 5400 5472 5632 5643 5700 5760 5940 6080 6270 6336 6400 6600 6688 6840 6912 7040 7200 7296 7425 7524 7600 7680 7920 8208 8360 8448 8550 8640 8800 9120 9405 9504 9600 9728 9900 10032 10260 10450 10560 10800 10944 11286 11400 11520 11880 12160 12540 12672 12800 12825 13200 13376 13680 13824 14080 14400 14592 14850 15048 15200 15675 15840 16416 16720 16896 17100 17280 17600 18240 18810 19008 19200 19800 20064 20520 20900 21120 21600 21888 22572 22800 23040 23760 24320 25080 25344 25650 26400 26752 27360 28160 28215 28800 29184 29700 30096 30400 31350 31680 32832 33440 34200 34560 35200 36480 37620 38016 38400 39600 40128 41040 41800 42240 43200 43776 45144 45600 47025 47520 48640 50160 50688 51300 52800 53504 54720 56430 57600 59400 60192 60800 62700 63360 65664 66880 68400 69120 70400 72960 75240 76032 79200 80256 82080 83600 84480 86400 87552 90288 91200 94050 95040 100320 102600 105600 107008 109440 112860 115200 118800 120384 121600 125400 126720 131328 133760 136800 140800 141075 145920 150480 152064 158400 160512 164160 167200 172800 180576 182400 188100 190080 200640 205200 211200 218880 225720 237600 240768 243200 250800 253440 262656 267520 273600 282150 300960 316800 321024 328320 334400 345600 361152 364800 376200 380160 401280 410400 422400 437760 451440 475200 481536 501600 535040 547200 564300 601920 633600 656640 668800 722304 729600 752400 760320 802560 820800 902880 950400 963072 1003200 1094400 1128600 1203840 1267200 1313280 1337600 1444608 1504800 1605120 1641600 1805760 1900800 1923811 2006400 2188800 2257200 2407680 2675200 2889216 3009600 3283200 3611520 3801600 3847622 4012800 4514400 4815360 5771433 6019200 6566400 7223040 7695244 8025600 9028800 9619055 11542866 12038400 14446080 15390488 17314299 18057600 19238110 21161921 23085732 24076800 28857165 30780976 34628598 36115200 36552409 38476220 42323842 46171464 48095275 51942897 57714330 61561952 63485763 69257196 72230400 73104818 76952440 84647684 86571495 92342928 96190550 103885794 105809605 109657227 115428660 123123904 126971526 138514392 144285825 146209636 153904880 169295368 173142990 182762045 184685856 190457289 192381100 207771588 211619210 219314454 230857320 246247808 253943052 259714485 277028784 288571650 292419272 307809760 317428815 328971681 338590736 346285980 365524090 369371712 380914578 384762200 402076499 415543176 423238420 432857475 438628908 461714640 492495616 507886104 519428970 529048025 548286135 554057568 571371867 577143300 584838544 615619520 634857630 657943362 677181472 692571960 731048180 738743424 761829156 769524400 804152998 831086352 846476840 865714950 877257816 913810225 923429280 952286445 984991232 986915043 1015772208 1038857940 1058096050 1096572270 1108115136 1142743734 1154286600 1169677088 1206229497 1231239040 1269715260 1298572425 1315886724 1354362944 1385143920 1462096360 1477486848 1523658312 1539048800 1587144075 1608305996 1644858405 1662172704 1692953680 1731429900 1754515632 1827620450 1846858560 1904572890 1973830086 2010382495 2031544416 2077715880 2116192100 2193144540 2216230272 2285487468 2308573200 2339354176 2412458994 2462478080 2539430520 2597144850 2631773448 2708725888 2741430675 2770287840 2856859335 2924192720 2954973696 3047316624 3078097600 3174288150 3216611992 3289716810 3324345408 3385907360 3462859800 3509031264 3618688491 3655240900 3693717120 3809145780 3947660172 4020764990 4063088832 4155431760 4232384200 4386289080 4432460544 4570974936 4617146400 4678708352 4761432225 4824917988 4924956160 4934575215 5078861040 5194289700 5263546896 5417451776 5482861350 5540575680 5713718670 5848385440 6031147485 6094633248 6156195200 6348576300 6433223984 6579433620 6648690816 6771814720 6925719600 7018062528 7237376982 7310481800 7387434240 7618291560 7895320344 8041529980 8126177664 8224292025 8310863520 8464768400 8772578160 8864921088 9141949872 9234292800 9357416704 9522864450 9649835976 9869150430 10051912475 10157722080 10388579400 10527093792 10834903552 10856065473 10965722700 11081151360 11427437340 11696770880 12062294970 12189266496 12312390400 12697152600 12866447968 13158867240 13297381632 13543629440 13851439200 14036125056 14284296675 14474753964 14620963600 14774868480 15236583120 15790640688 16083059960 16252355328 16448584050 16621727040 16929536800 17545156320 18093442455 18283899744 18468585600 18714833408 19045728900 19299671952 19738300860 20103824950 20315444160 20777158800 21054187584 21712130946 21931445400 22162302720 22854874680 23393541760 24124589940 24378532992 24624780800 24672876075 25394305200 25732895936 26317734480 26594763264 27087258880 27702878400 28072250112 28568593350 28949507928 29241927200 30155737425 30473166240 31581281376 32166119920 32504710656 32897168100 33243454080 33859073600 35090312640 36186884910 36567799488 36937171200 38091457800 38599343904 39476601720 40207649900 40630888320 41554317600 42108375168 43424261892 43862890800 44324605440 45709749360 46787083520 48249179880 48757065984 49345752150 50788610400 51465791872 52635468960 54174517760 54280327365 55405756800 56144500224 57137186700 57899015856 58483854400 60311474850 60946332480 63162562752 64332239840 65794336200 66486908160 67718147200 70180625280 72373769820 73135598976 73874342400 76182915600 77198687808 78953203440 80415299800 81261776640 83108635200 84216750336 86848523784 87725781600 90467212275 91419498720 93574167040 96498359760 97514131968 98691504300 101577220800 102931583744 105270937920 108560654730 110811513600 114274373400 115798031712 116967708800 120622949700 121892664960 126325125504 128664479680 131588672400 132973816320 135436294400 140361250560 144747539640 146271197952 152365831200 154397375616 157906406880 160830599600 162523553280 166217270400 168433500672 173697047568 175451563200 180934424550 182838997440 192996719520 197383008600 203154441600 205863167488 210541875840 217121309460 221623027200 228548746800 231596063424 233935417600 241245899400 243785329920 252650251008 257328959360 263177344800 270872588800 271401636825 280722501120 289495079280 292542395904 304731662400 308794751232 315812813760 321661199200 332434540800 347394095136 350903126400 361868849100 365677994880 385993439040 394766017200 406308883200 421083751680 434242618920 457097493600 463192126848 467870835200 482491798800 487570659840 505300502016 514657918720 526354689600 542803273650 578990158560 609463324800 617589502464 631625627520 643322398400 664869081600 694788190272 701806252800 723737698200 731355989760 771986878080 789532034400 812617766400 842167503360 868485237840 914194987200 926384253696 964983597600 1029315837440 1052709379200 1085606547300 1157980317120 1218926649600 1263251255040 1286644796800 1389576380544 1403612505600 1447475396400 1462711979520 1543973756160 1579064068800 1736970475680 1828389974400 1852768507392 1929967195200 2105418758400 2171213094600 2315960634240 2437853299200 2526502510080 2573289593600 2779152761088 2894950792800 3087947512320 3158128137600 3473940951360 3656779948800 3859934390400 4210837516800 4342426189200 4631921268480 5146579187200 5558305522176 5789901585600 6316256275200 6947881902720 7313559897600 7719868780800 8684852378400 9263842536960 11579803171200 12632512550400 13895763805440 15439737561600 17369704756800 23159606342400 27791527610880 34739409513600 46319212684800 69478819027200 138957638054400
- Sum of all divisors σ(n): 585694559577600
- Sum of proper divisors (its aliquot sum) s(n): 446736921523200
- 138957638054400 is an abundant number, because the sum of its proper divisors (446736921523200) is greater than itself. Its abundance is 307779283468800
Bases of 138957638054400
- Binary: 111111001100001100110001010011110110010000000002
- Hexadecimal: 0x7E6198A7B200
- Base-36: 1D9899X1C0
Squares and roots of 138957638054400
- 138957638054400 squared (1389576380544002) is 19309225173657635017359360000
- 138957638054400 cubed (1389576380544003) is 2683164322792026632125321007736029184000000
-
The
square root of 138957638054400 is 11788029.4389859749 -
The
cube root of 138957638054400 is 51795.7518087527
Scales and comparisons
How big is 138957638054400?- 138,957,638,054,400 seconds is equal to 4,418,423 years, 3 weeks, 3 days.
-
To count from 1 to 138,957,638,054,400 would take you about eleven million, forty-six thousand and fifty-seven 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 138957638054400 cubic inches would be around 4316.3 feet tall.
Recreational maths with 138957638054400
- 138957638054400 backwards is 004450836759831
- The number of decimal digits it has is: 15
- The sum of 138957638054400's digits is 63
- More coming soon!
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The information we have on file for 138957638054400 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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