137363497959168
137,363,497,959,168 is an even composite number composed of six prime numbers multiplied together.
137363497959168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137363497959168:
28 × 32 × 134 × 172 × 31 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 17 × 17 × 31 × 233)See below for interesting mathematical facts about the number 137363497959168 from the Numbermatics database.
Names of 137363497959168
- Cardinal: 137363497959168 can be written as One hundred thirty-seven trillion, three hundred sixty-three billion, four hundred ninety-seven million, nine hundred fifty-nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37363497959168 × 1014
Factors of 137363497959168
Divisors of 137363497959168
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 31 32 34 36 39 48 51 52 62 64 68 72 78 93 96 102 104 117 124 128 136 144 153 156 169 186 192 204 208 221 233 234 248 256 272 279 288 289 306 312 338 372 384 403 408 416 442 466 468 496 507 527 544 558 576 578 612 624 663 676 699 744 768 806 816 832 867 884 932 936 992 1014 1054 1088 1116 1152 1156 1209 1224 1248 1326 1352 1398 1488 1521 1581 1612 1632 1664 1734 1768 1864 1872 1984 1989 2028 2097 2108 2176 2197 2232 2304 2312 2418 2448 2496 2601 2652 2704 2796 2873 2976 3029 3042 3162 3224 3264 3328 3468 3536 3627 3728 3744 3757 3961 3968 3978 4056 4194 4216 4352 4394 4464 4624 4743 4836 4896 4992 5202 5239 5304 5408 5592 5746 5952 6058 6084 6324 6448 6528 6591 6851 6936 7072 7223 7254 7456 7488 7514 7922 7936 7956 8112 8388 8432 8619 8788 8928 8959 9087 9248 9486 9672 9792 9984 10404 10478 10608 10816 11184 11271 11492 11883 11904 12116 12168 12648 12896 13056 13182 13702 13872 14144 14446 14508 14912 14976 15028 15717 15844 15912 16224 16776 16864 17238 17576 17856 17918 18174 18496 18972 19344 19584 19773 20553 20808 20956 21216 21632 21669 22368 22542 22984 23766 23808 24232 24336 25296 25792 25857 26364 26877 27261 27404 27744 28288 28561 28892 29016 29824 29952 30056 31434 31688 31824 32448 33552 33728 33813 34476 35152 35649 35712 35836 36348 36992 37349 37944 38688 39168 39377 39546 41106 41616 41912 42432 43264 43338 44736 45084 45968 47151 47532 48464 48672 48841 50592 51493 51584 51714 52728 53754 54522 54808 55488 56576 57122 57784 58032 59648 60112 61659 62868 63376 63648 64896 65007 67104 67337 67456 67626 68107 68952 70304 71298 71424 71672 72696 73984 74698 75888 77376 78754 79092 80631 82212 83232 83824 84864 85683 86676 89063 89472 90168 91936 93899 94302 95064 96928 97344 97682 101184 102986 103168 103428 105456 107508 109044 109616 110976 112047 114244 115568 116064 116467 118131 120224 122791 123318 125736 126752 127296 129792 130014 134208 134674 134912 135252 136214 137904 140608 142596 143344 145392 146523 149396 151776 154479 154752 157508 158184 161262 164424 166464 167648 169728 171366 173352 178126 178944 180336 183872 187798 188604 190128 193856 194688 195364 202011 202368 204321 205972 206856 210912 215016 218088 219232 221952 224094 228488 231136 232128 232934 236262 240448 245582 246636 251472 253504 254592 257049 260028 267189 268416 269348 270504 272428 275808 281216 281697 285192 286688 290784 293046 298792 303552 308958 309504 315016 316368 322524 328848 332928 335296 336141 342732 346704 349401 354393 356252 360672 367744 368373 375596 377208 380256 387712 389376 390728 404022 404736 408642 411944 413712 421824 430032 436176 438464 439569 448188 456976 462272 463437 464256 465868 472524 480896 485537 491164 493272 502944 507008 509184 511901 514098 520056 534378 536832 538696 541008 544856 551616 562432 563394 570384 573376 581568 586092 597584 606033 607104 612963 617916 630032 632736 634933 645048 657696 665856 669409 670592 672282 685464 693408 698802 708786 712504 721344 735488 736746 751192 754416 760512 775424 781456 801567 808044 817284 823888 827424 843648 845091 860064 872352 875381 876928 879138 885391 896376 913952 924544 926874 928512 931736 945048 961792 971074 982328 986544 1005888 1014016 1023802 1028196 1040112 1048203 1068756 1077392 1082016 1089712 1103232 1105119 1126788 1140768 1146752 1157819 1163136 1172184 1195168 1212066 1214208 1220687 1225926 1235832 1260064 1265472 1269866 1290096 1315392 1338818 1341184 1344564 1370928 1386816 1397604 1417572 1425008 1442688 1456611 1473492 1502384 1508832 1514071 1521024 1535703 1562912 1596283 1603134 1616088 1634568 1647776 1654848 1687296 1690182 1720128 1744704 1750762 1753856 1758276 1770782 1792752 1827904 1849088 1853748 1863472 1890096 1904799 1942148 1964656 1973088 2008227 2011776 2047604 2056392 2080224 2087447 2096406 2137512 2154784 2164032 2179424 2206464 2210238 2253576 2281536 2293504 2315638 2326272 2344368 2390336 2424132 2441374 2451852 2471664 2520128 2530944 2539732 2580192 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31261606272 31563303759 32581474848 32752383872 33866740128 34530793856 34617817026 34678994688 36562017024 36688968472 36846431856 37872483584 38847143088 39608851776 41275089531 42084405012 42606544032 43441966464 45155653504 45349454592 46157089368 47811868416 49128575808 50800110192 51796190784 52811802368 55033452708 56112540016 56808725376 59413277664 59619573767 61542785824 62523212544 63126607518 65162949696 65504767744 67733480256 69061587712 69235634052 73377936944 73692863712 77694286176 79217703552 82550179062 84168810024 85213088064 86883932928 90311307008 92314178736 98257151616 101600220384 103592381568 110066905416 112225080032 113617450752 118826555328 119239147534 123085571648 126253215036 130325899392 135466960512 138471268104 146755873888 147385727424 155388572352 158435407104 165100358124 168337620048 170426176128 178858721301 184628357472 196514303232 203200440768 207184763136 220133810832 224450160064 237653110656 238478295068 246171143296 252506430072 260651798784 270933921024 276942536208 293511747776 294771454848 310777144704 330200716248 336675240096 340852352256 357717442602 369256714944 406400881536 440267621664 448900320128 475306221312 476956590136 492342286592 505012860144 536576163903 553885072416 587023495552 589542909696 621554289408 660401432496 673350480192 715434885204 738513429888 812801763072 880535243328 897800640256 953913180272 1010025720288 1073152327806 1107770144832 1174046991104 1320802864992 1346700960384 1430869770408 1477026859776 1761070486656 1907826360544 2020051440576 2146304655612 2215540289664 2641605729984 2693401920768 2861739540816 3522140973312 3815652721088 4040102881152 4292609311224 4431080579328 5283211459968 5723479081632 7631305442176 8080205762304 8585218622448 10566422919936 11446958163264 15262610884352 17170437244896 22893916326528 34340874489792 45787832653056 68681748979584 137363497959168
- Sum of all divisors σ(n): 472501084281408
- Sum of proper divisors (its aliquot sum) s(n): 335137586322240
- 137363497959168 is an abundant number, because the sum of its proper divisors (335137586322240) is greater than itself. Its abundance is 197774088363072
Bases of 137363497959168
- Binary: 111110011101110011011101000000000111111000000002
- Hexadecimal: 0x7CEE6E803F00
- Base-36: 1COVX42BK0
Squares and roots of 137363497959168
- 137363497959168 squared (1373634979591682) is 18868730571578351300995252224
- 137363497959168 cubed (1373634979591683) is 2591874833361093709078871486558681413189632
-
The
square root of 137363497959168 is 11720217.4877076407 -
The
cube root of 137363497959168 is 51596.9203186665
Scales and comparisons
How big is 137363497959168?- 137,363,497,959,168 seconds is equal to 4,367,734 years, 17 weeks, 5 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,363,497,959,168 would take you about ten million, nine hundred nineteen thousand, three hundred thirty-five 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 137363497959168 cubic inches would be around 4299.7 feet tall.
Recreational maths with 137363497959168
- 137363497959168 backwards is 861959794363731
- The number of decimal digits it has is: 15
- The sum of 137363497959168's digits is 81
- More coming soon!
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"Number 137363497959168 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 137363497959168 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/137363497959168/
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The information we have on file for 137363497959168 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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