137313017106048
137,313,017,106,048 is an even composite number composed of six prime numbers multiplied together.
137313017106048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 137313017106048:
27 × 34 × 73 × 89 × 467 × 929
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 89 × 467 × 929)See below for interesting mathematical facts about the number 137313017106048 from the Numbermatics database.
Names of 137313017106048
- Cardinal: 137313017106048 can be written as One hundred thirty-seven trillion, three hundred thirteen billion, seventeen million, one hundred six thousand and forty-eight.
Scientific notation
- Scientific notation: 1.37313017106048 × 1014
Factors of 137313017106048
Divisors of 137313017106048
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 89 96 98 108 112 126 128 144 147 162 168 178 189 192 196 216 224 252 267 288 294 324 336 343 356 378 384 392 432 441 448 467 504 534 567 576 588 623 648 672 686 712 756 784 801 864 882 896 929 934 1008 1029 1068 1134 1152 1176 1246 1296 1323 1344 1372 1401 1424 1512 1568 1602 1728 1764 1858 1868 1869 2016 2058 2136 2268 2352 2403 2492 2592 2646 2688 2744 2787 2802 2848 3024 3087 3136 3204 3269 3456 3528 3716 3736 3738 3969 4032 4116 4203 4272 4361 4536 4704 4806 4984 5184 5292 5488 5574 5604 5607 5696 6048 6174 6272 6408 6503 6538 7056 7209 7432 7472 7476 7938 8064 8232 8361 8406 8544 8722 9072 9261 9408 9612 9807 9968 10368 10584 10976 11148 11208 11214 11392 12096 12348 12609 12816 13006 13076 13083 14112 14418 14864 14944 14952 15876 16464 16722 16812 16821 17088 17444 18144 18522 18816 19224 19509 19614 19936 21168 21952 22296 22416 22428 22883 24192 24696 25083 25218 25632 26012 26152 26166 27783 28224 28836 29421 29728 29888 29904 30527 31752 32928 33444 33624 33642 34176 34888 36288 37044 37827 38448 39018 39228 39249 39872 41563 42336 43904 44592 44832 44856 45521 45766 49392 50166 50436 50463 51264 52024 52304 52332 55566 56448 57672 58527 58842 59456 59776 59808 61054 63504 65856 66888 67248 67284 68649 69776 72576 74088 75249 75654 76896 78036 78456 78498 79744 82681 83126 84672 88263 89184 89664 89712 91042 91532 91581 98784 100332 100872 100926 102528 104048 104608 104664 111132 115344 117054 117684 117747 118912 119616 122108 124689 127008 131712 133776 134496 134568 136563 137298 139552 148176 150498 151308 153792 156072 156912 156996 160181 165362 166252 169344 175581 176526 178368 179328 179424 182084 183064 183162 197568 200664 201744 201852 205947 208096 209216 209328 222264 230688 234108 235368 235494 239232 244216 248043 249378 254016 264789 267552 268992 269136 273126 274596 274743 279104 290941 296352 300996 302616 307584 312144 313824 313992 318647 320362 330724 332504 351162 353052 353241 356736 358848 364168 366128 366324 374067 395136 401328 403488 403704 409689 411894 416192 418432 418656 433843 444528 461376 468216 470736 470988 480543 488432 496086 498756 508032 526743 529578 535104 537984 538272 546252 549192 549486 558208 578767 581882 592704 601992 605232 617841 624288 627648 627984 637294 640724 661448 665008 702324 706104 706482 717696 728336 732256 732648 744129 748134 802656 806976 807408 819378 823788 824229 832384 837312 867686 872823 889056 922752 936432 941472 941976 955941 961086 976864 992172 997512 1053486 1059156 1070208 1076544 1092504 1098384 1098972 1122201 1157534 1163764 1185408 1203984 1210464 1229067 1235682 1248576 1255296 1255968 1274588 1281448 1301529 1322896 1330016 1404648 1412208 1412964 1441629 1456672 1464512 1465296 1488258 1496268 1605312 1613952 1614816 1638756 1647576 1648458 1674624 1735372 1736301 1745646 1778112 1853523 1872864 1882944 1883952 1911882 1922172 1953728 1984344 1995024 2036587 2106972 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- Sum of all divisors σ(n): 483455887200000
- Sum of proper divisors (its aliquot sum) s(n): 346142870093952
- 137313017106048 is an abundant number, because the sum of its proper divisors (346142870093952) is greater than itself. Its abundance is 208829852987904
Bases of 137313017106048
- Binary: 111110011100010101011011001101110001110100000002
- Hexadecimal: 0x7CE2AD9B8E80
- Base-36: 1CO8Q92G00
Squares and roots of 137313017106048
- 137313017106048 squared (1373130171060482) is 18854864666765830664878178304
- 137313017106048 cubed (1373130171060483) is 2589018354519836529286721410735184220782592
-
The
square root of 137313017106048 is 11718063.7097622917 -
The
cube root of 137313017106048 is 51590.5989505961
Scales and comparisons
How big is 137313017106048?- 137,313,017,106,048 seconds is equal to 4,366,129 years, 10 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,313,017,106,048 would take you about ten million, nine hundred fifteen thousand, three hundred twenty-three 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 137313017106048 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137313017106048
- 137313017106048 backwards is 840601710313731
- The number of decimal digits it has is: 15
- The sum of 137313017106048's digits is 45
- More coming soon!
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The information we have on file for 137313017106048 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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