137938502302146
137,938,502,302,146 is an even composite number composed of six prime numbers multiplied together.
137938502302146 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137938502302146:
2 × 35 × 72 × 132 × 613 × 151
(2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 61 × 61 × 61 × 151)See below for interesting mathematical facts about the number 137938502302146 from the Numbermatics database.
Names of 137938502302146
- Cardinal: 137938502302146 can be written as One hundred thirty-seven trillion, nine hundred thirty-eight billion, five hundred two million, three hundred two thousand, one hundred forty-six.
Scientific notation
- Scientific notation: 1.37938502302146 × 1014
Factors of 137938502302146
Divisors of 137938502302146
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 61 63 78 81 91 98 117 122 126 147 151 162 169 182 183 189 234 243 273 294 302 338 351 366 378 427 441 453 486 507 546 549 567 637 702 793 819 854 882 906 1014 1053 1057 1098 1134 1183 1274 1281 1323 1359 1521 1586 1638 1647 1701 1911 1963 2106 2114 2366 2379 2457 2562 2646 2718 2989 3042 3159 3171 3294 3402 3549 3721 3822 3843 3926 3969 4077 4563 4758 4914 4941 5551 5733 5889 5978 6318 6342 7098 7137 7371 7399 7442 7686 7938 8154 8281 8967 9126 9211 9513 9882 10309 10647 11102 11163 11466 11529 11778 11907 12231 13689 13741 14274 14742 14798 14823 16562 16653 17199 17667 17934 18422 19026 20618 21294 21411 22113 22197 22326 23058 23814 24462 24843 25519 26047 26901 27378 27482 27633 28539 29646 30927 31941 33306 33489 34398 34587 35334 36693 38857 41067 41223 42822 44226 44394 48373 49686 49959 51038 51597 52094 53001 53802 55266 57078 61854 63882 64233 64477 66591 66978 69174 72163 73386 74529 76557 77714 78141 80703 82134 82446 82899 85617 92781 95823 96187 96746 99918 100467 103194 103761 106002 116571 119743 123669 128466 128954 133182 144326 145119 149058 149877 153114 154791 156282 159003 161406 165798 171234 178633 182329 185562 191646 192374 192699 193431 199773 200934 207522 216489 223587 226981 229671 233142 234423 239486 242109 247338 248697 256851 278343 287469 288561 290238 299754 301401 309582 318006 338611 349713 357266 359229 364658 371007 385398 386862 399546 432978 435357 447174 449631 451339 453962 459342 468846 477009 484218 497394 505141 513702 535899 546987 556686 561871 574938 577122 580293 599319 602802 628849 649467 670761 677222 680943 689013 699426 703269 718458 726327 742014 746091 835029 838201 865683 870714 899262 902678 904203 954018 1010282 1015833 1049139 1071798 1077687 1093974 1113021 1123742 1160586 1198638 1250431 1257698 1298934 1306071 1341522 1348893 1354017 1361886 1378026 1406538 1452654 1492182 1515423 1556659 1588867 1607697 1640961 1670058 1676402 1685613 1731366 1740879 1797957 1808406 1886547 1948401 2012283 2031666 2042829 2067039 2098278 2109807 2155374 2226042 2238273 2370277 2500862 2505087 2514603 2597049 2612142 2697786 2708034 2950753 3030846 3047499 3113318 3147417 3177734 3215394 3233061 3281922 3339063 3371226 3481758 3595914 3751293 3773094 3896802 3918213 3933097 4024566 4062051 4085658 4134078 4219614 4401943 4476546 4546269 4669977 4740554 4766601 4823091 4922883 5010174 5029206 5056839 5194098 5222637 5659641 5845203 5867407 5901506 6094998 6128487 6201117 6294834 6329421 6466122 6678126 7110831 7304323 7502586 7543809 7791147 7836426 7866194 8124102 8803886 8852259 9092538 9142497 9339954 9442251 9533202 9646182 9699183 9845766 10113678 10445274 10896613 11122069 11253879 11319282 11690406 11734814 11754639 11799291 12186153 12256974 12402234 12658842 13205829 13638807 14009931 14221662 14299803 14469273 14608646 14768649 15087618 15170517 15582294 15667911 16978923 17535609 17602221 17704518 18284994 18385461 18884502 19398366 20655271 21332493 21793226 21912969 22244138 22507758 22631427 23373441 23509278 23598582 24372306 26411658 26556777 27277614 27427491 27531679 28019862 28599606 28938546 29097549 29537298 30341034 30813601 31335822 32689839 33366207 33761637 33957846 34274131 35071218 35204442 35397873 36558459 36770922 38359789 39617487 40916421 41310542 42029793 42664986 42899409 43407819 43825938 44305947 45262854 45511551 46746882 50936769 51130261 52806663 53113554 54854982 55063358 55156383 58195098 61627202 61965813 63997479 65379678 65738907 66732414 67523274 67894281 68548262 70795746 73116918 76276291 76719578 79234974 79670331 81832842 82282473 82595037 84059586 85798818 86815638 88611894 91023102 92440803 94956199 98069517 100098621 101284911 101873538 102260522 102822393 105613326 106193619 109675377 110312766 115079367 118852461 122749263 123931626 126089379 127994958 128698227 131477814 135788562 136534653 144586897 152552582 152810307 153390783 158419989 159340662 164564946 165190074 184881606 185897439 189912398 191992437 196139034 197216721 200197242 202569822 203682843 205644786 212387238 219350754 228828873 230158734 237704922 239010993 239918917 245498526 247785111 252178758 257396454 268518523 273069306 277322409 284868597 289173794 294208551 300295863 303854733 305620614 306781566 308467179 316839978 318580857 345238101 356557383 357911827 371794878 378268137 383984874 386094681 394433442 407365686 433760691 445563703 457657746 460172349 475259967 478021986 479837834 495570222 537037046 554644818 557692317 569737194 575977311 588417102 591650163 600591726 607709466 616934358 637161714 664693393 686486619 690476202 713114766 715823654 717032979 719756751 743355333 756536274 772189362 805555569 831967227 854605791 867521382 882625653 891127406 900887589 920344698 925401537 950519934 955742571 1035714303 1069672149 1073735481 1115384634 1151954622 1183300326 1301282073 1329386786 1336691109 1372973238 1380517047 1425779901 1434065958 1439513502 1486710666 1611111138 1663934454 1673076951 1679432419 1709211582 1765251306 1774950489 1801775178 1850803074 1879629661 1911485142 1994080179 2059459857 2071428606 2139344298 2147470962 2159270253 2230065999 2416666707 2495901681 2563817373 2602564146 2647876959 2673382218 2702662767 2761034094 2776204611 2851559802 3107142909 3118945921 3221206443 3346153902 3358864838 3549900978 3759259322 3903846219 3988160358 4010073327 4118919714 4141551141 4318540506 4460131998 4652853751 4833333414 4991803362 5019230853 5038297257 5127634746 5295753918 5405325534 5552409222 5638888983 5792328139 5982240537 6178379571 6214285818 6237891842 6442412886 6477810759 6690197997 7250000121 7487705043 7691452119 7807692438 8020146654 8283102282 8328613833 9305707502 9321428727 9356837763 9663619329 10038461706 10076594514 11277777966 11584656278 11711538657 11964481074 12030219981 12356759142 12424653423 12955621518 13380395994 13958561253 14500000242 14975410086 15114891771 15382904238 16657227666 16916666949 17376984417 17946721611 18535138713 18642857454 18713675526 19327238658 19433432277 21750000363 21832621447 23074356357 23423077314 24060439962 24849306846 27917122506 28070513289 28990857987 30229783542 33833333898 34753968834 35134615971 35893443222 36090659943 37070277426 38866864554 40546296973 41875683759 43500000726 43665242894 45344675313 46148712714 50750000847 52130953251 53840164833 56141026578 57981715974 58300296831 65250001089 65497864341 70269231942 72181319886 81092593946 83751367518 84211539867 86972573961 90689350626 101500001694 104261906502 107680329666 108271979829 116600593662 121638890919 125627051277 130500002178 130995728682 136034025939 152250002541 156392859753 161520494499 168423079734 173945147922 196493593023 216543959658 243277781838 251254102554 252634619601 272068051878 283824078811 304500005082 312785719506 323040988998 364916672757 376881153831 392987186046 408102077817 456750007623 469178579259 505269239202 567648157622 589480779069 729833345514 753762307662 757903858803 816204155634 851472236433 913500015246 938357158518 1094750018271 1130643461493 1178961558138 1407535737777 1515807717606 1702944472866 1768442337207 2189500036542 2261286922986 2554416709299 2815071475554 3284250054813 3536884674414 5108833418598 5305327011621 6568500109626 7663250127897 9852750164439 10610654023242 15326500255794 19705500328878 22989750383691 45979500767382 68969251151073 137938502302146
- Sum of all divisors σ(n): 399539967555456
- Sum of proper divisors (its aliquot sum) s(n): 261601465253310
- 137938502302146 is an abundant number, because the sum of its proper divisors (261601465253310) is greater than itself. Its abundance is 123662962951164
Bases of 137938502302146
- Binary: 111110101110100010011110110111000111001110000102
- Hexadecimal: 0x7D744F6E39C2
- Base-36: 1CW82MSY4I
Squares and roots of 137938502302146
- 137938502302146 squared (1379385023021462) is 19027030417359137341876205316
- 137938502302146 cubed (1379385023021463) is 2624560079027895333434059542032004563408136
-
The
square root of 137938502302146 is 11744722.3169450031 -
The
cube root of 137938502302146 is 51668.8150900261
Scales and comparisons
How big is 137938502302146?- 137,938,502,302,146 seconds is equal to 4,386,017 years, 36 weeks, 3 days, 7 hours, 29 minutes, 6 seconds.
-
To count from 1 to 137,938,502,302,146 would take you about ten million, nine hundred sixty-five thousand and forty-four 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 137938502302146 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137938502302146
- 137938502302146 backwards is 641203205839731
- 137938502302146 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137938502302146's digits is 54
- More coming soon!
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The information we have on file for 137938502302146 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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