138930086400
138,930,086,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138930086400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138930086400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138930086400:
29 × 3 × 52 × 7 × 37 × 61 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 37 × 61 × 229)See below for interesting mathematical facts about the number 138930086400 from the Numbermatics database.
Names of 138930086400
- Cardinal: 138930086400 can be written as One hundred thirty-eight billion, nine hundred thirty million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.389300864 × 1011
Factors of 138930086400
Divisors of 138930086400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 50 56 60 61 64 70 74 75 80 84 96 100 105 111 112 120 122 128 140 148 150 160 168 175 183 185 192 200 210 222 224 229 240 244 256 259 280 296 300 305 320 336 350 366 370 384 400 420 427 444 448 458 480 488 512 518 525 555 560 592 600 610 640 672 687 700 732 740 768 777 800 840 854 888 896 915 916 925 960 976 1036 1050 1110 1120 1145 1184 1200 1220 1280 1281 1295 1344 1374 1400 1464 1480 1525 1536 1554 1600 1603 1680 1708 1776 1792 1830 1832 1850 1920 1952 2072 2100 2135 2220 2240 2257 2290 2368 2400 2440 2560 2562 2590 2688 2748 2775 2800 2928 2960 3050 3108 3200 3206 3360 3416 3435 3552 3584 3660 3664 3700 3840 3885 3904 4144 4200 4270 4440 4480 4514 4575 4580 4736 4800 4809 4880 5124 5180 5376 5496 5550 5600 5725 5856 5920 6100 6216 6400 6405 6412 6475 6720 6771 6832 6870 7104 7320 7328 7400 7680 7770 7808 8015 8288 8400 8473 8540 8880 8960 9028 9150 9160 9472 9600 9618 9760 10248 10360 10675 10752 10992 11100 11200 11285 11450 11712 11840 12200 12432 12800 12810 12824 12950 13440 13542 13664 13740 13969 14208 14640 14656 14800 15540 15616 15799 16030 16576 16800 16946 17080 17175 17760 17920 18056 18300 18320 18944 19200 19236 19425 19520 20496 20720 21350 21984 22200 22400 22570 22900 23424 23680 24045 24400 24864 25419 25620 25648 25900 26880 27084 27328 27480 27938 28416 29280 29312 29600 31080 31232 31598 32025 32060 33152 33600 33855 33892 34160 34350 35520 36112 36600 36640 38400 38472 38850 39040 40075 40992 41440 41907 42365 42700 43968 44400 44800 45140 45800 46848 47360 47397 48090 48800 49728 50838 51240 51296 51800 53760 54168 54656 54960 55876 56425 56832 58560 58624 59200 59311 62160 63196 64050 64120 66304 67200 67710 67784 68320 68700 69845 71040 72224 73200 73280 76944 77700 78080 78995 80150 81984 82880 83814 84730 85400 87936 88800 89600 90280 91600 93696 94720 94794 96180 97600 97783 99456 101676 102480 102592 103600 108336 109312 109920 111752 112850 117120 117248 118400 118622 120225 124320 126392 127095 128100 128240 132608 134400 135420 135568 136640 137400 139690 142080 144448 146400 146560 153888 155400 156160 157990 160300 163968 165760 167628 169275 169460 170800 175872 177600 177933 180560 183200 189588 192360 195200 195566 198912 203352 204960 205184 207200 209535 211825 216672 218624 219840 223504 225700 234240 236800 236985 237244 240450 248640 252784 254190 256200 256480 268800 270840 271136 273280 274800 279380 284160 288896 292800 293120 293349 296555 307776 310800 315980 320600 327936 331520 335256 338550 338920 341600 349225 351744 355200 355866 361120 366400 379176 384720 390400 391132 394975 397824 406704 409920 410368 414400 419070 423650 433344 439680 447008 451400 468480 473600 473970 474488 480900 488915 497280 505568 508380 512400 512960 516853 541680 542272 546560 549600 558760 577792 585600 586240 586698 593110 615552 621600 631960 635475 641200 655872 663040 670512 677100 677840 683200 698450 710400 711732 722240 732800 758352 769440 780800 782264 789950 813408 819840 820736 828800 838140 847300 866688 879360 889665 894016 902800 947940 948976 961800 977830 994560 1011136 1016760 1024800 1025920 1033706 1047675 1083360 1084544 1093120 1099200 1117520 1155584 1171200 1173396 1184925 1186220 1231104 1243200 1263920 1270950 1282400 1341024 1354200 1355680 1366400 1396900 1420800 1423464 1444480 1465600 1466745 1482775 1516704 1538880 1550559 1564528 1579900 1626816 1639680 1657600 1676280 1694600 1733376 1758720 1779330 1788032 1805600 1895880 1897952 1923600 1955660 1989120 2022272 2033520 2049600 2051840 2067412 2095350 2166720 2169088 2198400 2235040 2342400 2346792 2369850 2372440 2444575 2462208 2486400 2527840 2541900 2564800 2584265 2682048 2708400 2711360 2732800 2793800 2846928 2888960 2931200 2933490 2965550 3033408 3077760 3101118 3129056 3159800 3253632 3279360 3315200 3352560 3389200 3466752 3558660 3576064 3611200 3617971 3791760 3795904 3847200 3911320 4044544 4067040 4099200 4103680 4134824 4190700 4333440 4338176 4396800 4448325 4470080 4693584 4739700 4744880 4889150 4972800 5055680 5083800 5129600 5168530 5364096 5416800 5422720 5465600 5587600 5693856 5777920 5866980 5931100 6066816 6155520 6202236 6258112 6319600 6507264 6705120 6778400 7117320 7152128 7222400 7235942 7333725 7583520 7591808 7694400 7752795 7822640 8089088 8134080 8198400 8269648 8381400 8666880 8793600 8896650 8940160 9387168 9479400 9489760 9778300 9945600 10111360 10167600 10259200 10337060 10728192 10833600 10845440 10853913 11175200 11387712 11733960 11862200 12133632 12311040 12404472 12516224 12639200 12921325 13014528 13410240 13556800 14234640 14444800 14471884 14667450 15167040 15183616 15388800 15505590 15645280 16268160 16396800 16539296 16762800 17333760 17793300 17880320 18089855 18774336 18958800 18979520 19556600 20222720 20335200 20518400 20674120 21456384 21667200 21690880 21707826 22350400 22775424 23467920 23724400 24267264 24808944 25032448 25278400 25842650 26820480 27113600 28469280 28889600 28943768 29334900 30334080 30367232 30777600 31011180 31290560 32536320 33078592 33525600 35586600 35760640 36179710 37548672 37917600 37959040 38763975 39113200 40445440 40670400 41348240 43334400 43415652 44700800 45550848 46935840 47448800 49617888 50064896 50556800 51685300 53640960 54227200 54269565 56938560 57887536 58669800 60668160 61555200 62022360 62581120 65072640 66157184 67051200 71173200 72359420 75097344 75835200 75918080 77527950 78226400 81340800 82696480 86668800 86831304 89401600 90449275 91101696 93871680 94897600 99235776 101113600 103370600 107281920 108454400 108539130 113877120 115775072 117339600 121336320 124044720 125162240 132314368 134102400 142346400 144718840 150194688 151670400 151836160 155055900 156452800 162681600 165392960 173662608 178803200 180898550 187743360 189795200 198471552 202227200 206741200 217078260 227754240 231550144 234679200 248089440 250324480 264628736 268204800 271347825 284692800 289437680 303340800 310111800 312905600 325363200 330785920 347325216 361797100 375486720 379590400 396943104 413482400 434156520 455508480 463100288 469358400 496178880 536409600 542695650 569385600 578875360 606681600 620223600 625811200 661571840 694650432 723594200 750973440 759180800 793886208 826964800 868313040 926200576 938716800 992357760 1085391300 1138771200 1157750720 1240447200 1251622400 1323143680 1389300864 1447188400 1653929600 1736626080 1852401152 1877433600 1984715520 2170782600 2277542400 2315501440 2480894400 2778601728 2894376800 3307859200 3473252160 3754867200 3969431040 4341565200 4631002880 4961788800 5557203456 5788753600 6615718400 6946504320 8683130400 9262005760 9923577600 11577507200 13893008640 17366260800 19847155200 23155014400 27786017280 34732521600 46310028800 69465043200 138930086400
- Sum of all divisors σ(n): 549908494080
- Sum of proper divisors (its aliquot sum) s(n): 410978407680
- 138930086400 is an abundant number, because the sum of its proper divisors (410978407680) is greater than itself. Its abundance is 272048321280
Bases of 138930086400
- Binary: 100000010110001110000011100010000000002
- Hexadecimal: 0x2058E0E200
- Base-36: 1RTNDWQO
Squares and roots of 138930086400
- 138930086400 squared (1389300864002) is 19301568907111464960000
- 138930086400 cubed (1389300864003) is 2681568635920549401323372544000000
-
The
square root of 138930086400 is 372733.2644130385 -
The
cube root of 138930086400 is 5179.2328336201
Scales and comparisons
How big is 138930086400?- 138,930,086,400 seconds is equal to 4,417 years, 28 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,930,086,400 would take you about eight thousand, eight hundred thirty-five 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 138930086400 cubic inches would be around 431.6 feet tall.
Recreational maths with 138930086400
- 138930086400 backwards is 004680039831
- 138930086400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138930086400's digits is 42
- More coming soon!
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The information we have on file for 138930086400 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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