137649904128
137,649,904,128 is an even composite number composed of six prime numbers multiplied together.
137649904128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137649904128:
29 × 32 × 11 × 17 × 31 × 5153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 31 × 5153)See below for interesting mathematical facts about the number 137649904128 from the Numbermatics database.
Names of 137649904128
- Cardinal: 137649904128 can be written as One hundred thirty-seven billion, six hundred forty-nine million, nine hundred four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37649904128 × 1011
Factors of 137649904128
Divisors of 137649904128
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 31 32 33 34 36 44 48 51 62 64 66 68 72 88 93 96 99 102 124 128 132 136 144 153 176 186 187 192 198 204 248 256 264 272 279 288 306 341 352 372 374 384 396 408 496 512 527 528 544 558 561 576 612 682 704 744 748 768 792 816 992 1023 1054 1056 1088 1116 1122 1152 1224 1364 1408 1488 1496 1536 1581 1584 1632 1683 1984 2046 2108 2112 2176 2232 2244 2304 2448 2728 2816 2976 2992 3069 3162 3168 3264 3366 3968 4092 4216 4224 4352 4464 4488 4608 4743 4896 5153 5456 5632 5797 5952 5984 6138 6324 6336 6528 6732 7936 8184 8432 8448 8704 8928 8976 9486 9792 10306 10912 11594 11904 11968 12276 12648 12672 13056 13464 15459 15872 16368 16864 16896 17391 17856 17952 18972 19584 20612 21824 23188 23808 23936 24552 25296 25344 26112 26928 30918 32736 33728 34782 35712 35904 37944 39168 41224 43648 46376 46377 47616 47872 49104 50592 50688 52173 53856 56683 61836 65472 67456 69564 71424 71808 75888 78336 82448 87296 87601 92752 92754 95744 98208 101184 104346 107712 113366 123672 130944 134912 139128 142848 143616 151776 159743 164896 170049 174592 175202 185504 185508 196416 202368 208692 215424 226732 247344 261888 262803 269824 278256 287232 303552 319486 329792 340098 350404 371008 371016 392832 404736 417384 430848 453464 479229 494688 510147 523776 525606 556512 607104 638972 659584 680196 700808 742016 742032 785664 788409 809472 834768 861696 906928 958458 963611 989376 1020294 1051212 1113024 1214208 1277944 1319168 1360392 1401616 1437687 1484032 1484064 1571328 1576818 1669536 1757173 1813856 1916916 1927222 1978752 2040588 2102424 2226048 2428416 2555888 2638336 2715631 2720784 2803232 2875374 2890833 2968064 2968128 3153636 3339072 3514346 3627712 3833832 3854444 3957504 4081176 4204848 4452096 5111776 5271519 5431262 5441568 5606464 5750748 5781666 5936256 6307272 6678144 7028692 7255424 7667664 7708888 7915008 8146893 8162352 8409696 8672499 8904192 10223552 10543038 10862524 10883136 11212928 11501496 11563332 11872512 12614544 13356288 14057384 14510848 15335328 15417776 15814557 16293786 16324704 16819392 17344998 20447104 21086076 21725048 21766272 22425856 23002992 23126664 23745024 24440679 25229088 26712576 28114768 29021696 29871941 30670656 30835552 31629114 32587572 32649408 33638784 34689996 40894208 42172152 43450096 43532544 44851712 46005984 46253328 48881358 50458176 56229536 59743882 61341312 61671104 63258228 65175144 65298816 67277568 69379992 81788416 84344304 86900192 87065088 89615823 92011968 92506656 97762716 100916352 112459072 119487764 122682624 123342208 126516456 130350288 130597632 134555136 138759984 168688608 173800384 179231646 184023936 185013312 195525432 201832704 224918144 238975528 245365248 246684416 253032912 260700576 261195264 268847469 277519968 337377216 347600768 358463292 368047872 370026624 391050864 403665408 449836288 477951056 493368832 506065824 521401152 537694938 555039936 674754432 695201536 716926584 736095744 740053248 782101728 899672576 955902112 1012131648 1042802304 1075389876 1110079872 1349508864 1390403072 1433853168 1480106496 1564203456 1911804224 2024263296 2085604608 2150779752 2220159744 2699017728 2867706336 3128406912 3823608448 4048526592 4171209216 4301559504 4440319488 5735412672 6256813824 7647216896 8097053184 8603119008 11470825344 12513627648 15294433792 17206238016 22941650688 34412476032 45883301376 68824952064 137649904128
- Sum of all divisors σ(n): 473769533952
- Sum of proper divisors (its aliquot sum) s(n): 336119629824
- 137649904128 is an abundant number, because the sum of its proper divisors (336119629824) is greater than itself. Its abundance is 198469725696
Bases of 137649904128
- Binary: 100000000011001001001011011010000000002
- Hexadecimal: 0x200C92DA00
- Base-36: 1R8H75S0
Squares and roots of 137649904128
- 137649904128 squared (1376499041282) is 18947496106447591440384
- 137649904128 cubed (1376499041283) is 2608121022518164244425371027505152
-
The
square root of 137649904128 is 371011.9999784373 -
The
cube root of 137649904128 is 5163.2755694073
Scales and comparisons
How big is 137649904128?- 137,649,904,128 seconds is equal to 4,376 years, 43 weeks, 5 days, 4 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,649,904,128 would take you about eight thousand, seven hundred fifty-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 137649904128 cubic inches would be around 430.3 feet tall.
Recreational maths with 137649904128
- 137649904128 backwards is 821409946731
- The number of decimal digits it has is: 12
- The sum of 137649904128's digits is 54
- More coming soon!
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