137974382914368
137,974,382,914,368 is an even composite number composed of nine prime numbers multiplied together.
137974382914368 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137974382914368:
26 × 3 × 7 × 11 × 13 × 192 × 37 × 71 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 19 × 19 × 37 × 71 × 757)See below for interesting mathematical facts about the number 137974382914368 from the Numbermatics database.
Names of 137974382914368
- Cardinal: 137974382914368 can be written as One hundred thirty-seven trillion, nine hundred seventy-four billion, three hundred eighty-two million, nine hundred fourteen thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37974382914368 × 1014
Factors of 137974382914368
Divisors of 137974382914368
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 37 38 39 42 44 48 52 56 57 64 66 71 74 76 77 78 84 88 91 96 104 111 112 114 132 133 142 143 148 152 154 156 168 176 182 192 208 209 213 222 224 228 231 247 259 264 266 273 284 286 296 304 308 312 336 352 361 364 399 407 416 418 426 429 444 448 456 462 481 494 497 518 528 532 546 568 572 592 608 616 624 627 672 703 704 722 728 741 757 777 781 798 814 832 836 852 858 888 912 923 924 962 988 994 1001 1036 1056 1064 1083 1092 1136 1144 1184 1216 1221 1232 1248 1254 1344 1349 1406 1443 1444 1456 1463 1482 1491 1514 1554 1562 1596 1628 1672 1704 1716 1729 1776 1824 1846 1848 1924 1976 1988 2002 2072 2109 2112 2128 2166 2184 2271 2272 2288 2343 2368 2442 2464 2496 2508 2527 2627 2698 2717 2769 2812 2849 2886 2888 2912 2926 2964 2982 3003 3028 3108 3124 3192 3256 3344 3367 3408 3432 3458 3552 3648 3692 3696 3848 3952 3971 3976 4004 4047 4144 4218 4256 4332 4368 4389 4542 4544 4576 4686 4693 4884 4921 4928 5016 5054 5187 5254 5291 5299 5396 5434 5467 5538 5624 5698 5772 5776 5824 5852 5928 5964 6006 6056 6216 6248 6384 6461 6512 6688 6734 6816 6864 6916 7104 7384 7392 7581 7696 7733 7881 7904 7942 7952 8008 8094 8151 8288 8327 8436 8512 8547 8664 8736 8778 9084 9139 9152 9372 9386 9443 9768 9841 9842 10032 10101 10108 10153 10374 10508 10582 10598 10792 10868 10934 11076 11248 11396 11544 11552 11704 11856 11913 11928 12012 12112 12432 12496 12768 12922 13024 13357 13376 13468 13632 13728 13832 14079 14383 14763 14768 14784 14839 15162 15392 15466 15762 15808 15873 15884 15897 15904 16016 16188 16302 16401 16576 16654 16872 17094 17328 17472 17537 17556 18168 18278 18389 18744 18772 18886 19019 19383 19536 19682 19684 20064 20202 20216 20306 20748 21016 21164 21196 21584 21736 21868 22152 22496 22792 23088 23104 23199 23408 23712 23826 23856 24024 24224 24864 24981 24992 25536 25631 25844 26048 26714 26936 27417 27456 27664 27797 28009 28158 28329 28766 28897 29523 29526 29536 29678 30324 30459 30784 30932 31524 31746 31768 31794 31808 32032 32376 32604 32802 32851 33308 33744 34151 34188 34656 35074 35112 36336 36556 36778 37037 37488 37544 37772 38038 38766 39072 39364 39368 40071 40128 40404 40432 40612 41496 42032 42328 42392 43149 43168 43472 43736 44304 44517 44992 45584 46176 46398 46816 47424 47652 47712 48048 48448 49728 49913 49962 49984 51262 51623 51688 52611 53428 53747 53872 54131 54834 55167 55328 55594 56018 56316 56658 57057 57532 57794 58289 59046 59052 59072 59356 60648 60918 61864 63048 63492 63536 63588 63973 64064 64752 65208 65604 65702 66616 67488 68302 68376 68887 69312 70148 70224 71071 72672 73112 73556 74074 74976 75088 75544 76076 76893 77532 78144 78728 78736 80142 80808 80864 81224 82992 83391 84027 84064 84656 84784 86298 86336 86691 86944 87472 88608 89034 91168 92352 92796 93499 93632 95304 95424 96096 98553 99826 99924 100529 100681 102453 102524 103246 103376 103873 105222 106856 107494 107744 108251 108262 109668 110334 110656 111111 111188 112036 112632 113316 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79800105792 80404652048 80970881992 82520563944 84750849456 86450114608 88331871264 88786604192 91132353312 92538150848 93100123424 94309215936 94762625628 95550126672 95616342976 98132562528 102279008832 102659511097 110027418592 110556396566 111992193924 113001132608 113465775423 116532418002 120606978072 121456322988 126350167504 127400168896 129675171912 130657559578 133179906288 137836546368 138807226272 139650185136 143424514464 149322925232 149484705216 151287700564 155376557336 160809304096 161941763984 165041127888 165834594849 169501698912 172900229216 176663742528 177573208384 182264706624 186200246848 189525251256 191100253344 195986339367 196265125056 205319022194 220054837184 221112793132 223984387848 226931550846 233064836004 241213956144 242912645976 252700335008 259350343824 261315119156 266359812576 277614452544 279300370272 286849028928 298645850464 302575401128 307978533291 310753114672 321618608192 323883527968 330082255776 331669189698 339003397824 345800458432 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22995730485728 34493595728592 45991460971456 68987191457184 137974382914368
- Sum of all divisors σ(n): 539477399494656
- Sum of proper divisors (its aliquot sum) s(n): 401503016580288
- 137974382914368 is an abundant number, because the sum of its proper divisors (401503016580288) is greater than itself. Its abundance is 263528633665920
Bases of 137974382914368
- Binary: 111110101111100101010100001010011101011010000002
- Hexadecimal: 0x7D7CAA14EB40
- Base-36: 1CWOK16ZPC
Squares and roots of 137974382914368
- 137974382914368 squared (1379743829143682) is 19036930340600644277220839424
- 137974382914368 cubed (1379743829143683) is 2626608716328183324625711903521500470444032
-
The
square root of 137974382914368 is 11746249.7382938355 -
The
cube root of 137974382914368 is 51673.2947384781
Scales and comparisons
How big is 137974382914368?- 137,974,382,914,368 seconds is equal to 4,387,158 years, 30 weeks, 6 days, 4 hours, 12 minutes, 48 seconds.
-
To count from 1 to 137,974,382,914,368 would take you about ten million, nine hundred sixty-seven thousand, eight hundred ninety-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 137974382914368 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137974382914368
- 137974382914368 backwards is 863419283479731
- The number of decimal digits it has is: 15
- The sum of 137974382914368's digits is 75
- More coming soon!
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"Number 137974382914368 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137974382914368 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137974382914368/
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The information we have on file for 137974382914368 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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