137997608980608
137,997,608,980,608 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137997608980608 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
137997608980608 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137997608980608:
27 × 32 × 13 × 17 × 31 × 37 × 612 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 31 × 37 × 61 × 61 × 127)See below for interesting mathematical facts about the number 137997608980608 from the Numbermatics database.
Names of 137997608980608
- Cardinal: 137997608980608 can be written as One hundred thirty-seven trillion, nine hundred ninety-seven billion, six hundred eight million, nine hundred eighty thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.37997608980608 × 1014
Factors of 137997608980608
Divisors of 137997608980608
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 31 32 34 36 37 39 48 51 52 61 62 64 68 72 74 78 93 96 102 104 111 117 122 124 127 128 136 144 148 153 156 183 186 192 204 208 221 222 234 244 248 254 272 279 288 296 306 312 333 366 372 381 384 403 408 416 442 444 468 481 488 496 508 527 544 549 558 576 592 612 624 629 663 666 732 744 762 793 806 816 832 884 888 936 962 976 992 1016 1037 1054 1088 1098 1116 1143 1147 1152 1184 1209 1224 1248 1258 1326 1332 1443 1464 1488 1524 1581 1586 1612 1632 1651 1664 1768 1776 1872 1887 1891 1924 1952 1984 1989 2032 2074 2108 2159 2176 2196 2232 2257 2286 2294 2368 2379 2418 2448 2496 2516 2652 2664 2886 2928 2976 3048 3111 3162 3172 3224 3264 3302 3441 3536 3552 3627 3721 3744 3774 3782 3848 3904 3937 3968 3978 4064 4148 4216 4318 4329 4392 4464 4514 4572 4588 4699 4736 4743 4758 4836 4896 4953 4992 5032 5304 5328 5661 5673 5772 5856 5952 6096 6222 6324 6344 6448 6477 6528 6604 6771 6851 6882 7072 7104 7137 7254 7442 7488 7548 7564 7696 7747 7808 7874 7956 8128 8177 8296 8432 8636 8658 8784 8928 9028 9144 9176 9333 9398 9486 9516 9672 9792 9906 10064 10323 10608 10656 11163 11322 11346 11544 11712 11811 11904 12192 12444 12648 12688 12896 12954 13208 13481 13542 13702 13764 14097 14144 14208 14274 14508 14859 14884 14911 14976 15096 15128 15392 15494 15748 15912 16256 16354 16592 16864 17019 17272 17316 17568 17856 18056 18288 18352 18666 18796 18972 19032 19344 19431 19499 19584 19812 20128 20313 20553 20646 21216 21312 22326 22644 22692 23088 23241 23424 23622 24384 24531 24583 24888 25296 25376 25792 25908 26416 26962 27084 27404 27528 28067 28194 28288 28548 29016 29341 29718 29768 29822 30192 30256 30784 30988 31496 31824 32147 32708 33184 33489 33728 34038 34544 34632 35136 35433 35712 36112 36576 36704 37332 37592 37944 38064 38369 38688 38862 38998 39624 40256 40443 40626 41106 41292 42291 42432 42624 44652 44733 45288 45384 46176 46482 47244 48373 48768 49062 49166 49776 50592 50752 51181 51584 51816 52832 53924 54168 54808 55056 56134 56388 57096 58032 58497 58682 59436 59536 59644 60384 60512 61087 61568 61659 61976 62992 63257 63648 64294 65416 66368 66929 66978 67456 68076 69088 69264 69723 69967 70272 70866 72224 73152 73408 73593 73749 74664 75184 75888 76128 76738 77376 77724 77996 79248 79883 80512 80886 81252 82212 82584 84201 84582 84864 88023 89304 89466 90576 90768 92352 92964 94488 96441 96746 98124 98332 99552 100711 101184 101504 102362 103632 105664 107848 108336 109616 110112 112268 112776 114192 115107 115351 116064 116994 117364 118872 119072 119288 120768 121024 121329 122174 123318 123952 125984 126514 127296 128588 130832 131699 132736 133858 133956 134199 136152 137677 138176 138528 139446 139934 141732 144448 145119 145669 146304 146816 147186 147498 149328 150368 151776 152256 153476 153543 154752 155448 155992 158496 159766 161772 162504 164424 165168 168402 169164 175491 176046 178608 178932 181152 181536 183261 184704 185928 188976 189771 192882 193492 196248 196664 199104 200787 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565563971232 589733371712 621610851264 624423570048 663450043176 676458867552 718737546774 741922628928 754085294976 884600057568 901945156736 932416276896 958316729032 1014688301328 1078106320161 1086595346304 1112883943392 1131127942464 1179466743424 1243221702528 1326900086352 1352917735104 1437475093548 1483845257856 1769200115136 1864832553792 1916633458064 2029376602656 2156212640322 2225767886784 2262255884928 2653800172704 2705835470208 2874950187096 3538400230272 3729665107584 3833266916128 4058753205312 4312425280644 4451535773568 5307600345408 5749900374192 7666533832256 8117506410624 8624850561288 10615200690816 11499800748384 15333067664512 17249701122576 22999601496768 34499402245152 45999202993536 68998804490304 137997608980608
- Sum of all divisors σ(n): 491885430865920
- Sum of proper divisors (its aliquot sum) s(n): 353887821885312
- 137997608980608 is an abundant number, because the sum of its proper divisors (353887821885312) is greater than itself. Its abundance is 215890212904704
Bases of 137997608980608
- Binary: 111110110000010000100100111011010010000100000002
- Hexadecimal: 0x7D8212769080
- Base-36: 1CWZ85E740
Squares and roots of 137997608980608
- 137997608980608 squared (1379976089806082) is 19043340084364781732920049664
- 137997608980608 cubed (1379976089806083) is 2627935398646909712033841594428467772915712
-
The
square root of 137997608980608 is 11747238.3554862799 -
The
cube root of 137997608980608 is 51676.1940690243
Scales and comparisons
How big is 137997608980608?- 137,997,608,980,608 seconds is equal to 4,387,897 years, 5 weeks, 5 days, 9 hours, 16 minutes, 48 seconds.
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To count from 1 to 137,997,608,980,608 would take you about ten million, nine hundred sixty-nine thousand, seven hundred forty-two 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 137997608980608 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137997608980608
- 137997608980608 backwards is 806089806799731
- The number of decimal digits it has is: 15
- The sum of 137997608980608's digits is 81
- More coming soon!
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The information we have on file for 137997608980608 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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