138516737216000
138,516,737,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138516737216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
138516737216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138516737216000:
29 × 53 × 11 × 134 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 83 × 83)See below for interesting mathematical facts about the number 138516737216000 from the Numbermatics database.
Names of 138516737216000
- Cardinal: 138516737216000 can be written as One hundred thirty-eight trillion, five hundred sixteen billion, seven hundred thirty-seven million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38516737216 × 1014
Factors of 138516737216000
Divisors of 138516737216000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 83 88 100 104 110 125 128 130 143 160 166 169 176 200 208 220 250 256 260 275 286 320 325 332 338 352 400 415 416 440 500 512 520 550 572 640 650 664 676 704 715 800 830 832 845 880 913 1000 1040 1079 1100 1144 1280 1300 1328 1352 1375 1408 1430 1600 1625 1660 1664 1690 1760 1826 1859 2000 2075 2080 2158 2197 2200 2288 2560 2600 2656 2704 2750 2816 2860 3200 3250 3320 3328 3380 3520 3575 3652 3718 4000 4150 4160 4225 4316 4394 4400 4565 4576 5200 5312 5395 5408 5500 5632 5720 6400 6500 6640 6656 6760 6889 7040 7150 7304 7436 8000 8300 8320 8450 8632 8788 8800 9130 9152 9295 10375 10400 10624 10790 10816 10985 11000 11440 11869 12800 13000 13280 13520 13778 14027 14080 14300 14608 14872 16000 16600 16640 16900 17264 17576 17600 17875 18260 18304 18590 20750 20800 21125 21248 21580 21632 21970 22000 22825 22880 23738 24167 26000 26560 26975 27040 27556 28054 28160 28561 28600 29216 29744 32000 33200 33280 33800 34445 34528 35152 35200 35750 36520 36608 37180 41500 41600 42250 42496 43160 43264 43940 44000 45650 45760 46475 47476 48334 52000 53120 53950 54080 54925 55112 56108 57122 57200 58432 59345 59488 64000 66400 67600 68890 69056 70135 70304 70400 71500 73040 73216 74360 75779 83000 83200 84500 86320 86528 87880 88000 89557 91300 91520 92950 94952 96668 104000 106240 107900 108160 109850 110224 112216 114125 114244 114400 116864 118690 118976 120835 132800 134875 135200 137780 138112 140270 140608 140800 142805 143000 146080 148720 151558 154297 166000 166400 169000 172225 172640 175760 176000 179114 182351 182600 183040 185900 189904 193336 208000 212480 215800 216320 219700 220448 224432 228250 228488 228800 232375 233728 237380 237952 241670 265600 269750 270400 274625 275560 276224 280540 281216 285610 286000 292160 296725 297440 303116 308594 314171 332000 338000 344450 345280 350675 351520 352000 358228 364702 365200 366080 371800 378895 379808 386672 416000 431600 432640 439400 440896 447785 448864 456500 456976 457600 464750 467456 474760 475904 483340 531200 539500 540800 549250 551120 552448 561080 562432 571220 572000 584320 593450 594880 604175 606232 617188 628342 664000 676000 688900 690560 701350 703040 704000 714025 716456 729404 730400 743600 757790 759616 771485 773344 832000 861125 863200 878800 881792 895570 897728 911755 913000 913952 915200 929500 949520 951808 966680 985127 1062400 1079000 1081600 1098500 1102240 1122160 1124864 1142440 1144000 1164241 1168640 1186900 1189760 1208350 1212464 1234376 1256684 1328000 1352000 1377800 1381120 1402700 1406080 1428050 1432912 1458808 1460800 1483625 1487200 1515580 1519232 1542970 1546688 1570855 1722250 1726400 1753375 1757600 1763584 1791140 1795456 1823510 1826000 1827904 1830400 1859000 1894475 1899040 1933360 1970254 2005861 2158000 2163200 2197000 2204480 2238925 2244320 2284880 2288000 2328482 2337280 2370563 2373800 2379520 2416700 2424928 2468752 2513368 2656000 2704000 2755600 2762240 2805400 2812160 2856100 2865824 2917616 2921600 2967250 2974400 3020875 3031160 3038464 3085940 3093376 3141710 3444500 3452800 3506750 3515200 3527168 3570125 3582280 3590912 3647020 3652000 3655808 3718000 3788950 3798080 3857425 3866720 3940508 4011722 4316000 4394000 4408960 4477850 4488640 4558775 4569760 4576000 4656964 4741126 4747600 4759040 4833400 4849856 4925635 4937504 5026736 5312000 5408000 5511200 5610800 5624320 5712200 5731648 5821205 5835232 5843200 5934500 5948800 6041750 6062320 6076928 6171880 6186752 6283420 6889000 6905600 7013500 7030400 7140250 7164560 7181824 7294040 7304000 7311616 7436000 7577900 7596160 7714850 7733440 7854275 7881016 8023444 8632000 8788000 8817920 8955700 8977280 9117550 9139520 9152000 9313928 9472375 9482252 9495200 9666800 9699712 9851270 9875008 10029305 10053472 10816000 11022400 11194625 11221600 11424400 11463296 11642410 11670464 11686400 11852815 11869000 11897600 12083500 12124640 12343760 12373504 12566840 12806651 13778000 13811200 14027000 14060800 14280500 14329120 14588080 14608000 14623232 14872000 15135133 15155800 15192320 15429700 15466880 15708550 15762032 16046888 17264000 17576000 17635840 17911400 17954560 18235100 18279040 18627856 18944750 18964504 18990400 19287125 19333600 19399424 19702540 19750016 20058610 20106944 22044800 22389250 22443200 22793875 22848800 22926592 23284820 23340928 23705630 23738000 23795200 24167000 24249280 24628175 24687520 25133680 25613302 26076193 27556000 28054000 28121600 28561000 28658240 29106025 29176160 29216000 29744000 30270266 30311600 30384640 30859400 30933760 31417100 31524064 32093776 34528000 35152000 35822800 35909120 36470200 36558080 37255712 37889500 37929008 37980800 38574250 38667200 38798848 39271375 39405080 39500032 40117220 40213888 44089600 44778500 44886400 45587750 45697600 45853184 46569640 46681856 47411260 47476000 48334000 48498560 49256350 49375040 50146525 50267360 51226604 52152386 55112000 56108000 57122000 57316480 58212050 58352320 58432000 59264075 59488000 60540532 60623200 61718800 61867520 62834200 63048128 64033255 64187552 69056000 70304000 71645600 72940400 73116160 74511424 75675665 75779000 75858016 75961600 77148500 77334400 78542750 78810160 79000064 80234440 80427776 88179200 89557000 89772800 91175500 91395200 93139280 93363712 94822520 94952000 96668000 96997120 98512700 98750080 100293050 100534720 102453208 104304772 110224000 112216000 114244000 114632960 116424100 116704640 118528150 118976000 121081064 121246400 123140875 123437600 125668400 126096256 128066510 128375104 130380965 140608000 143291200 145530125 145880800 149022848 151351330 151558000 151716032 151923200 154297000 154668800 157085500 157620320 160468880 160855552 166486463 179114000 179545600 182351000 182790400 186278560 189645040 189904000 193336000 193994240 196756729 197025400 197500160 200586100 201069440 204906416 208609544 220448000 224432000 228488000 229265920 232848200 233409280 237056300 242162128 242492800 246281750 246875200 250732625 251336800 252192512 256133020 256750208 260761930 286582400 291060250 291761600 296320375 298045696 302702660 303116000 303432064 308594000 309337600 314171000 315240640 320166275 320937760 332972926 358228000 364702000 365580800 372557120 378378325 379290080 379808000 386672000 393513458 394050800 395000320 401172200 402138880 409812832 417219088 440896000 448864000 456976000 465696400 466818560 474112600 484324256 484985600 492563500 493750400 501465250 502673600 504385024 512266040 513500416 521523860 573164800 582120500 583523200 592640750 596091392 605405320 606232000 606864128 617188000 628342000 630481280 640332550 641875520 651904825 665945852 716456000 729404000 745114240 756756650 758580160 759616000 773344000 787026916 788101600 802344400 804277760 819625664 832432315 834438176 897728000 913952000 931392800 948225200 968648512 969971200 983783645 985127000 987500800 1002930500 1005347200 1024532080 1027000832 1043047720 1146329600 1164241000 1167046400 1185281500 1210810640 1212464000 1213728256 1234376000 1256684000 1260962560 1280665100 1283751040 1303809650 1331891704 1432912000 1458808000 1490228480 1513513300 1517160320 1546688000 1574053832 1576203200 1600831375 1604688800 1639251328 1664864630 1668876352 1827904000 1862785600 1891891625 1896450400 1937297024 1967567290 1970254000 1975001600 2005861000 2010694400 2049064160 2086095440 2164324019 2328482000 2334092800 2370563000 2421621280 2424928000 2468752000 2513368000 2521925120 2561330200 2567502080 2607619300 2663783408 2865824000 2917616000 2980456960 3027026600 3034320640 3148107664 3152406400 3201662750 3209377600 3259524125 3278502656 3329729260 3337752704 3725571200 3783783250 3792900800 3874594048 3935134580 3940508000 4011722000 4021388800 4098128320 4162161575 4172190880 4328648038 4656964000 4741126000 4843242560 4849856000 4918918225 4937504000 5026736000 5122660400 5135004160 5215238600 5327566816 5731648000 5835232000 6054053200 6068641280 6296215328 6304812800 6403325500 6418755200 6519048250 6557005312 6659458520 6675505408 7451142400 7567566500 7585801600 7749188096 7870269160 7881016000 8023444000 8196256640 8324323150 8344381760 8657296076 9313928000 9482252000 9686485120 9837836450 9875008000 10053472000 10245320800 10430477200 10655133632 10821620095 11670464000 12108106400 12592430656 12609625600 12806651000 12837510400 13038096500 13318917040 13351010816 14902284800 15135133000 15171603200 15740538320 15762032000 16046888000 16392513280 16648646300 16688763520 17314592152 18627856000 18964504000 19372970240 19675672900 20106944000 20490641600 20810807875 20860954400 21310267264 21643240190 24216212800 24594591125 25184861312 25613302000 25675020800 26076193000 26637834080 30270266000 30343206400 31481076640 31524064000 32093776000 32785026560 33297292600 33377527040 34629184304 37255712000 37929008000 38745940480 39351345800 40981283200 41621615750 41721908800 42620534528 43286480380 48432425600 49189182250 50369722624 51226604000 52152386000 53275668160 54108100475 60540532000 62962153280 63048128000 64187552000 66594585200 66755054080 69258368608 74511424000 75858016000 78702691600 81962566400 83243231500 83443817600 85241069056 86572960760 96864851200 98378364500 100739445248 102453208000 104304772000 106551336320 108216200950 121081064000 125924306560 128375104000 133189170400 138516737216 151716032000 157405383200 163925132800 166486463000 166887635200 173145921520 193729702400 196756729000 204906416000 208609544000 213102672640 216432401900 242162128000 251848613120 266378340800 270540502375 277033474432 314810766400 332972926000 333775270400 346291843040 393513458000 409812832000 417219088000 426205345280 432864803800 484324256000 503697226240 532756681600 541081004750 554066948864 629621532800 665945852000 692583686080 787026916000 819625664000 834438176000 865729607600 968648512000 1065513363200 1082162009500 1108133897728 1259243065600 1331891704000 1385167372160 1574053832000 1668876352000 1731459215200 2131026726400 2164324019000 2518486131200 2663783408000 2770334744320 3148107664000 3462918430400 4328648038000 5327566816000 5540669488640 6296215328000 6925836860800 8657296076000 10655133632000 12592430656000 13851673721600 17314592152000 27703347443200 34629184304000 69258368608000 138516737216000
- Sum of all divisors σ(n): 413176382684208
- Sum of proper divisors (its aliquot sum) s(n): 274659645468208
- 138516737216000 is an abundant number, because the sum of its proper divisors (274659645468208) is greater than itself. Its abundance is 136142908252208
Bases of 138516737216000
- Binary: 111110111111010111100001110101011001110000000002
- Hexadecimal: 0x7DFAF0EACE00
- Base-36: 1D3LPKXX4W
Squares and roots of 138516737216000
- 138516737216000 squared (1385167372160002) is 19186886488966399430656000000
- 138516737216000 cubed (1385167372160003) is 2657704913785379633389869166493696000000000
-
The
square root of 138516737216000 is 11769313.3706261725 -
The
cube root of 138516737216000 is 51740.9125871207
Scales and comparisons
How big is 138516737216000?- 138,516,737,216,000 seconds is equal to 4,404,403 years, 40 weeks, 5 days, 53 minutes, 20 seconds.
-
To count from 1 to 138,516,737,216,000 would take you about eleven million, eleven thousand and 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 138516737216000 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138516737216000
- 138516737216000 backwards is 000612737615831
- 138516737216000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138516737216000's digits is 50
- More coming soon!
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The information we have on file for 138516737216000 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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