137018932128
137,018,932,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 137018932128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
137018932128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137018932128:
25 × 33 × 132 × 173 × 191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 17 × 17 × 17 × 191)See below for interesting mathematical facts about the number 137018932128 from the Numbermatics database.
Names of 137018932128
- Cardinal: 137018932128 can be written as One hundred thirty-seven billion, eighteen million, nine hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37018932128 × 1011
Factors of 137018932128
Divisors of 137018932128
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 68 72 78 96 102 104 108 117 136 144 153 156 169 191 204 208 216 221 234 272 288 289 306 312 338 351 382 408 416 432 442 459 468 507 544 573 578 612 624 663 676 702 764 816 864 867 884 918 936 1014 1146 1156 1224 1248 1326 1352 1404 1521 1528 1632 1719 1734 1768 1836 1872 1989 2028 2292 2312 2448 2483 2601 2652 2704 2808 2873 3042 3056 3247 3438 3468 3536 3672 3744 3757 3978 4056 4563 4584 4624 4896 4913 4966 5157 5202 5304 5408 5616 5746 5967 6084 6112 6494 6876 6936 7072 7344 7449 7514 7803 7956 8112 8619 9126 9168 9248 9741 9826 9932 10314 10404 10608 11232 11271 11492 11934 12168 12988 13752 13872 14688 14739 14898 15028 15606 15912 16224 17238 18252 18336 19482 19652 19864 20628 20808 21216 22347 22542 22984 23868 24336 25857 25976 27504 27744 29223 29478 29796 30056 31212 31824 32279 33813 34476 36504 38964 39304 39728 41256 41616 42211 44217 44694 45084 45968 47736 48672 48841 51714 51952 55008 55199 58446 58956 59592 60112 62424 63648 63869 64558 67041 67626 68952 73008 77571 77928 78608 79456 82512 83232 84422 87669 88434 89388 90168 91936 95472 96837 97682 101439 103428 103904 110398 116892 117912 119184 120224 124848 126633 127738 129116 132651 134082 135252 137904 146016 146523 155142 155856 157216 165024 165597 168844 175338 176868 178776 180336 190944 191607 193674 195364 202878 206856 220796 233784 235824 238368 249696 253266 255476 258232 265302 268164 270504 275808 290511 293046 310284 311712 331194 337688 350676 353736 357552 360672 379899 383214 387348 390728 405756 413712 439569 441592 467568 471648 496791 506532 510952 516464 530604 536328 541008 548743 574821 581022 586092 620568 662388 675376 701352 707472 715104 717587 759798 766428 774696 781456 811512 827424 830297 871533 879138 883184 935136 938383 993582 1013064 1021904 1032928 1061208 1072656 1082016 1097486 1139697 1149642 1162044 1172184 1241136 1318707 1324776 1350752 1402704 1414944 1435174 1490373 1519596 1532856 1549392 1562912 1623024 1646229 1660594 1724463 1743066 1758276 1766368 1876766 1987164 2026128 2043808 2122416 2145312 2152761 2194972 2279394 2299284 2324088 2344368 2482272 2490891 2637414 2649552 2805408 2815149 2870348 2980746 3039192 3065712 3098784 3246048 3292458 3321188 3448926 3486132 3516552 3753532 3974328 4052256 4244832 4305522 4389944 4558788 4598568 4648176 4688736 4938687 4981782 5274828 5299104 5630298 5740696 5961492 6078384 6131424 6458283 6584916 6642376 6897852 6972264 7033104 7472673 7507064 7948656 8445447 8611044 8779888 9117576 9197136 9296352 9328631 9877374 9963564 10549656 11260596 11481392 11922984 12156768 12198979 12916566 13169832 13284752 13795704 13944528 14066208 14816061 14945346 15014128 15897312 16890894 17222088 17559776 18235152 18394272 18657262 19374849 19754748 19927128 21099312 22418019 22521192 22962784 23845968 24397958 25336341 25833132 26339664 26569504 27591408 27889056 27985893 29632122 29890692 30028256 33781788 34444176 36470304 36596937 37314524 38749698 39509496 39854256 42198624 44836038 45042384 47691936 48795916 50672682 51666264 52679328 55182816 55971786 59264244 59781384 67563576 68888352 73193874 74629048 77499396 79018992 79708512 83957679 89672076 90084768 97591832 101345364 103332528 109790811 111943572 118528488 119562768 135127152 146387748 149258096 154998792 158037984 158586727 167915358 179344152 195183664 202690728 206665056 219581622 223887144 237056976 239125536 251873037 270254304 292775496 298516192 309997584 317173454 329372433 335830716 358688304 390367328 405381456 439163244 447774288 474113952 475760181 503746074 585550992 619995168 634346908 658744866 671661432 717376608 810762912 878326488 895548576 951520362 1007492148 1171101984 1268693816 1317489732 1343322864 1427280543 1756652976 1903040724 2014984296 2537387632 2634979464 2686645728 2854561086 3513305952 3806081448 4029968592 4281841629 5074775264 5269958928 5709122172 7612162896 8059937184 8563683258 10539917856 11418244344 15224325792 17127366516 22836488688 34254733032 45672977376 68509466064 137018932128
- Sum of all divisors σ(n): 462192998400
- Sum of proper divisors (its aliquot sum) s(n): 325174066272
- 137018932128 is an abundant number, because the sum of its proper divisors (325174066272) is greater than itself. Its abundance is 188155134144
Bases of 137018932128
- Binary: 11111111001101111011011111011101000002
- Hexadecimal: 0x1FE6F6FBA0
- Base-36: 1QY1J8O0
Squares and roots of 137018932128
- 137018932128 squared (1370189321282) is 18774187761497470608384
- 137018932128 cubed (1370189321283) is 2572419158650950176933842163761152
-
The
square root of 137018932128 is 370160.6842007941 -
The
cube root of 137018932128 is 5155.3741885493
Scales and comparisons
How big is 137018932128?- 137,018,932,128 seconds is equal to 4,356 years, 40 weeks, 3 days, 6 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,018,932,128 would take you about eight thousand, seven hundred thirteen 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 137018932128 cubic inches would be around 429.6 feet tall.
Recreational maths with 137018932128
- 137018932128 backwards is 821239810731
- The number of decimal digits it has is: 12
- The sum of 137018932128's digits is 45
- More coming soon!
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