138749047148544
138,749,047,148,544 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138749047148544 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 832 divisors.
138749047148544 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 138749047148544:
212 × 3 × 7 × 23 × 41 × 127 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 41 × 127 × 13469)See below for interesting mathematical facts about the number 138749047148544 from the Numbermatics database.
Names of 138749047148544
- Cardinal: 138749047148544 can be written as One hundred thirty-eight trillion, seven hundred forty-nine billion, forty-seven million, one hundred forty-eight thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38749047148544 × 1014
Factors of 138749047148544
Divisors of 138749047148544
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 41 42 46 48 56 64 69 82 84 92 96 112 123 127 128 138 161 164 168 184 192 224 246 254 256 276 287 322 328 336 368 381 384 448 483 492 508 512 552 574 644 656 672 736 762 768 861 889 896 943 966 984 1016 1024 1104 1148 1288 1312 1344 1472 1524 1536 1722 1778 1792 1886 1932 1968 2032 2048 2208 2296 2576 2624 2667 2688 2829 2921 2944 3048 3072 3444 3556 3584 3772 3864 3936 4064 4096 4416 4592 5152 5207 5248 5334 5376 5658 5842 5888 6096 6144 6601 6888 7112 7168 7544 7728 7872 8128 8763 8832 9184 10304 10414 10496 10668 10752 11316 11684 11776 12192 12288 13202 13469 13776 14224 14336 15088 15456 15621 15744 16256 17526 17664 18368 19803 20447 20608 20828 20992 21336 21504 22632 23368 23552 24384 26404 26938 27552 28448 28672 30176 30912 31242 31488 32512 35052 35328 36449 36736 39606 40407 40894 41216 41656 41984 42672 43008 45264 46736 47104 48768 52808 53876 55104 56896 60352 61341 61824 62484 62976 65024 70104 70656 72898 73472 79212 80814 81788 82432 83312 83968 85344 86016 90528 93472 94208 94283 97536 105616 107752 109347 110208 113792 119761 120704 122682 123648 124968 125952 130048 140208 141312 145796 146944 158424 161628 163576 164864 166624 167936 170688 181056 186944 188566 195072 211232 215504 218694 220416 227584 239522 241408 245364 247296 249936 251904 260096 280416 282624 282849 291592 293888 309787 316848 323256 327152 329728 333248 341376 359283 362112 373888 377132 390144 422464 431008 437388 440832 455168 479044 482816 490728 494592 499872 503808 520192 552229 560832 565698 583184 587776 619574 633696 646512 654304 659456 666496 682752 718566 724224 747776 754264 780288 838327 844928 862016 874776 881664 910336 929361 958088 965632 981456 989184 999744 1104458 1121664 1131396 1166368 1175552 1239148 1267392 1293024 1308608 1332992 1365504 1437132 1448448 1495552 1508528 1560576 1656687 1676654 1689856 1710563 1724032 1749552 1763328 1820672 1858722 1916176 1931264 1962912 1978368 1999488 2168509 2208916 2243328 2262792 2332736 2478296 2514981 2534784 2586048 2617216 2665984 2731008 2874264 2896896 2991104 3017056 3313374 3353308 3379712 3421126 3448064 3499104 3526656 3641344 3717444 3832352 3862528 3865603 3925824 3998976 4337018 4417832 4486656 4525584 4665472 4956592 5029962 5069568 5131689 5172096 5234432 5331968 5462016 5748528 5793792 5982208 6034112 6505527 6626748 6706616 6759424 6842252 6896128 6998208 7434888 7664704 7731206 7851648 7997952 8674036 8835664 8973312 9051168 9330944 9913184 10059924 10139136 10263378 10344192 10468864 10663936 10924032 11497056 11587584 11596809 11964416 11973941 12068224 12701267 13011054 13253496 13413232 13518848 13684504 13792256 13996416 14869776 15329408 15462412 15703296 15995904 17348072 17671328 17946624 18102336 18661888 19826368 20119848 20278272 20526756 20688384 20937728 21327872 22994112 23193618 23947882 24136448 25402534 26022108 26506992 26826464 27037696 27369008 27584512 27992832 29739552 30658816 30924824 31406592 31991808 34696144 35342656 35893248 35921823 36204672 37323776 38103801 39342949 39652736 40239696 40556544 41053512 41376768 41875456 45988224 46387236 47895764 48272896 50805068 52044216 53013984 53652928 54738016 55169024 55985664 59479104 61317632 61849648 62813184 63983616 69392288 70133083 70685312 71843646 72409344 74647552 76207602 78685898 79305472 80479392 81113088 82107024 82753536 83750912 88908869 91976448 92774472 95791528 96545792 101610136 104088432 106027968 107305856 109476032 111971328 118028847 118958208 122635264 123699296 125626368 138784576 140266166 141370624 143687292 144818688 149295104 152415204 157371796 158610944 160958784 164214048 165507072 177817738 183952896 185548944 191583056 193091584 203220272 208176864 210399249 212055936 214611712 218952064 223942656 236057694 237916416 245270528 247398592 251252736 266726607 275400643 277569152 280532332 282741248 287374584 289637376 304830408 314743592 317221888 321917568 328428096 355635476 367905792 371097888 383166112 386183168 406440544 416353728 420798498 424111872 429223424 437904128 447885312 472115388 475832832 490541056 490931581 494797184 533453214 550801286 555138304 561064664 565482496 574749168 579274752 609660816 629487184 634443776 643835136 656856192 711270952 735811584 742195776 766332224 812881088 826201929 832707456 841596996 848223744 858446848 875808256 944230776 951665664 981863162 989594368 1066906428 1101602572 1110276608 1122129328 1130964992 1149498336 1158549504 1219321632 1258974368 1268887552 1287670272 1313712384 1422541904 1471623168 1472794743 1484391552 1532664448 1613060909 1625762176 1652403858 1665414912 1683193992 1696447488 1716893696 1751616512 1888461552 1903331328 1963726324 1979188736 2133812856 2203205144 2220553216 2244258656 2261929984 2298996672 2438643264 2517948736 2575340544 2627424768 2845083808 2945589486 2968783104 3065328896 3226121818 3251524352 3304807716 3330829824 3366387984 3392894976 3433787392 3503233024 3776923104 3806662656 3927452648 3958377472 4267625712 4406410288 4441106432 4488517312 4597993344 4839182727 4877286528 5035897472 5150681088 5254849536 5690167616 5891178972 5937566208 6130657792 6452243636 6503048704 6609615432 6661659648 6732775968 6785789952 7006466048 7553846208 7854905296 7916754944 8535251424 8812820576 8882212864 8977034624 9195986688 9678365454 9754573056 10071794944 10301362176 10509699072 11291426363 11380335232 11782357944 11875132416 12261315584 12904487272 13006097408 13219230864 13323319296 13465551936 15107692416 15709810592 15833509888 17070502848 17625641152 17954069248 18391973376 19356730908 19509146112 20143589888 21019398144 22582852726 22760670464 23564715888 23750264832 24522631168 25808974544 26012194816 26438461728 26646638592 26931103872 30215384832 31419621184 33874279089 34141005696 35251282304 35908138496 36783946752 38713461816 39018292224 40287179776 45165705452 45521340928 47129431776 47500529664 49045262336 51617949088 52024389632 52876923456 53862207744 60430769664 62839242368 67748558178 68282011392 70502564608 71816276992 73567893504 77426923632 78036584448 80574359552 90331410904 91042681856 94258863552 103235898176 105753846912 107724415488 120861539328 125678484736 135497116356 136564022784 141005129216 143632553984 147135787008 154853847264 156073168896 161148719104 180662821808 182085363712 188517727104 206471796352 211507693824 215448830976 241723078656 251356969472 270994232712 273128045568 282010258432 287265107968 309707694528 361325643616 364170727424 377035454208 412943592704 423015387648 430897661952 483446157312 502713938944 541988465424 546256091136 564020516864 619415389056 722651287232 754070908416 825887185408 846030775296 861795323904 1005427877888 1083976930848 1092512182272 1128041033728 1238830778112 1445302574464 1508141816832 1651774370816 1692061550592 2010855755776 2167953861696 2477661556224 2890605148928 3016283633664 3303548741632 3384123101184 4335907723392 4955323112448 5781210297856 6032567267328 6607097483264 8671815446784 9910646224896 11562420595712 17343630893568 19821292449792 23124841191424 34687261787136 46249682382848 69374523574272 138749047148544
- Sum of all divisors σ(n): 455538410127360
- Sum of proper divisors (its aliquot sum) s(n): 316789362978816
- 138749047148544 is an abundant number, because the sum of its proper divisors (316789362978816) is greater than itself. Its abundance is 178040315830272
Bases of 138749047148544
- Binary: 111111000110001000001111010101100010000000000002
- Hexadecimal: 0x7E3107AB1000
- Base-36: 1D6KFKA0AO
Squares and roots of 138749047148544
- 138749047148544 squared (1387490471485442) is 19251298084628885897201319936
- 138749047148544 cubed (1387490471485443) is 2671099265614848089591536334975973860573184
-
The
square root of 138749047148544 is 11779178.5430285417 -
The
cube root of 138749047148544 is 51769.8217638895
Scales and comparisons
How big is 138749047148544?- 138,749,047,148,544 seconds is equal to 4,411,790 years, 27 weeks, 9 hours, 42 minutes, 24 seconds.
-
To count from 1 to 138,749,047,148,544 would take you about eleven million, twenty-nine thousand, four hundred seventy-six 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 138749047148544 cubic inches would be around 4314.2 feet tall.
Recreational maths with 138749047148544
- 138749047148544 backwards is 445841740947831
- 138749047148544 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138749047148544's digits is 69
- More coming soon!
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The information we have on file for 138749047148544 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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