137120736436992
137,120,736,436,992 is an even composite number composed of seven prime numbers multiplied together.
137120736436992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137120736436992:
28 × 32 × 7 × 112 × 293 × 43 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 29 × 29 × 29 × 43 × 67)See below for interesting mathematical facts about the number 137120736436992 from the Numbermatics database.
Names of 137120736436992
- Cardinal: 137120736436992 can be written as One hundred thirty-seven trillion, one hundred twenty billion, seven hundred thirty-six million, four hundred thirty-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.37120736436992 × 1014
Factors of 137120736436992
Divisors of 137120736436992
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 32 33 36 42 43 44 48 56 58 63 64 66 67 72 77 84 86 87 88 96 99 112 116 121 126 128 129 132 134 144 154 168 172 174 176 192 198 201 203 224 231 232 242 252 256 258 261 264 268 288 301 308 319 336 344 348 352 363 384 387 396 402 406 448 462 464 469 473 484 504 516 522 528 536 576 602 603 609 616 638 672 688 693 696 704 726 737 768 774 792 804 812 841 847 896 903 924 928 938 946 957 968 1008 1032 1044 1056 1072 1089 1152 1204 1206 1218 1232 1247 1276 1344 1376 1386 1392 1407 1408 1419 1452 1474 1548 1584 1608 1624 1682 1694 1792 1806 1827 1848 1856 1876 1892 1914 1936 1943 2016 2064 2088 2112 2144 2178 2211 2233 2304 2408 2412 2436 2464 2494 2523 2541 2552 2688 2709 2752 2772 2784 2814 2816 2838 2871 2881 2904 2948 3096 3168 3216 3248 3311 3364 3388 3509 3612 3654 3696 3712 3741 3752 3784 3828 3872 3886 4032 4128 4176 4221 4224 4257 4288 4356 4422 4466 4816 4824 4872 4928 4988 5046 5082 5104 5159 5203 5376 5418 5504 5544 5568 5628 5676 5742 5762 5808 5829 5887 5896 6192 6336 6432 6496 6622 6633 6699 6728 6776 7018 7224 7308 7392 7424 7482 7504 7568 7569 7623 7656 7744 7772 8064 8107 8256 8352 8442 8448 8514 8576 8643 8712 8729 8844 8932 9251 9632 9648 9744 9856 9933 9976 10092 10164 10208 10318 10406 10527 10836 11008 11088 11136 11223 11256 11352 11484 11524 11616 11658 11774 11792 12384 12672 12864 12992 13244 13266 13398 13456 13552 13601 13717 14036 14448 14616 14784 14964 15008 15136 15138 15246 15312 15477 15488 15544 15609 16128 16214 16512 16704 16884 17028 17152 17286 17424 17458 17487 17661 17688 17864 18502 19264 19296 19488 19712 19866 19952 20097 20167 20184 20328 20416 20636 20812 21054 21373 21672 22176 22272 22446 22512 22704 22968 23048 23232 23316 23548 23584 24321 24389 24563 24768 25344 25728 25929 25984 26187 26488 26532 26796 26912 27104 27202 27434 27753 28072 28896 29232 29568 29799 29928 30016 30272 30276 30492 30624 30954 30976 31088 31218 31581 31691 32428 33024 33408 33768 34056 34572 34848 34916 34974 35322 35376 35728 36163 36421 37004 38528 38592 38976 39732 39904 40194 40334 40368 40656 40803 40832 41151 41272 41624 42108 42746 43344 44352 44892 45024 45408 45936 46096 46431 46464 46632 46827 47096 47168 48642 48778 49126 49536 51456 51858 51968 52374 52976 52983 53064 53592 53824 54208 54404 54868 55506 56144 56347 56749 57792 58464 59136 59598 59856 60032 60501 60544 60552 60984 61248 61908 62176 62436 63162 63382 64119 64757 64856 66816 67536 68112 69144 69696 69832 69948 70644 70752 71456 72326 72842 72963 73167 73689 74008 77056 77184 77952 78561 79464 79808 80388 80668 80736 81312 81606 81664 82302 82544 83248 83259 83549 84216 85492 86688 88704 89784 90048 90816 91872 92192 92862 92928 93264 93654 94192 94336 95073 96019 97284 97556 98252 99072 101761 103716 104748 105952 105966 106128 107184 107648 108416 108489 108808 109263 109736 111012 112288 112694 113498 115584 116928 119196 119712 120064 121002 121088 121104 121968 122409 122496 123453 123816 124352 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55649649528 56289300672 56849393216 56943827424 59514208523 61406509824 62017519872 62957179264 63955567368 64924591116 65670850784 66434465328 68016238312 70571660544 70826826672 71640928128 72473962176 73092076992 73879707132 74199532704 75052400896 75925103232 76518268101 80944944768 81522435456 84433951008 85274089824 86566121488 88579287104 93026279808 94435768896 96631949568 97386886674 97456102656 98506276176 98932710272 99651697992 102024357468 107461392192 109960494336 111299299056 112578601344 113698786432 113887654848 119028417046 125914358528 127911134736 129849182232 131341701568 132868930656 136032476624 141653653344 143281856256 144947924352 146184153984 147759414264 148399065408 151850206464 153036536202 161889889536 163044870912 168867902016 170548179648 173132242976 177158574208 178542625569 186052559616 188871537792 194773773348 197012552352 197865420544 199303395984 204048714936 214922784384 222598598112 225157202688 227397572864 227775309696 238056834092 255822269472 259698364464 262683403136 265737861312 272064953248 283307306688 289895848704 292368307968 295518828528 296798130816 306073072404 337735804032 341096359296 346264485952 354317148416 357085251138 377743075584 389547546696 394025104704 398606791968 408097429872 429845568768 445197196224 455550619392 476113668184 511644538944 519396728928 525366806272 531475722624 535627876707 544129906496 566614613376 591037657056 593596261632 612146144808 675471608064 682192718592 692528971904 714170502276 779095093392 788050209408 797213583936 816194859744 890394392448 952227336368 1023289077888 1038793457856 1062951445248 1071255753414 1088259812992 1133229226752 1182075314112 1224292289616 1385057943808 1428341004552 1558190186784 1576100418816 1594427167872 1632389719488 1780788784896 1904454672736 2046578155776 2077586915712 2142511506828 2176519625984 2364150628224 2448584579232 2856682009104 3116380373568 3188854335744 3264779438976 3808909345472 4155173831424 4285023013656 4728301256448 4897169158464 5713364018208 6232760747136 6529558877952 7617818690944 8570046027312 9794338316928 11426728036416 12465521494272 15235637381888 17140092054624 19588676633856 22853456072832 34280184109248 45706912145664 68560368218496 137120736436992
- Sum of all divisors σ(n): 534196226403840
- Sum of proper divisors (its aliquot sum) s(n): 397075489966848
- 137120736436992 is an abundant number, because the sum of its proper divisors (397075489966848) is greater than itself. Its abundance is 259954753529856
Bases of 137120736436992
- Binary: 111110010110101111010001100100101100011000000002
- Hexadecimal: 0x7CB5E8C96300
- Base-36: 1CLSEA4E80
Squares and roots of 137120736436992
- 137120736436992 squared (1371207364369922) is 18802096361023025523186008064
- 137120736436992 cubed (1371207364369923) is 2578157299582764665682224460065715139903488
-
The
square root of 137120736436992 is 11709856.3798618811 -
The
cube root of 137120736436992 is 51566.5067729935
Scales and comparisons
How big is 137120736436992?- 137,120,736,436,992 seconds is equal to 4,360,015 years, 14 weeks, 2 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 137,120,736,436,992 would take you about ten million, nine hundred thousand and thirty-eight 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 137120736436992 cubic inches would be around 4297.2 feet tall.
Recreational maths with 137120736436992
- 137120736436992 backwards is 299634637021731
- 137120736436992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137120736436992's digits is 63
- More coming soon!
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"Number 137120736436992 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137120736436992 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137120736436992/
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The information we have on file for 137120736436992 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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