137991768408
137,991,768,408 is an even composite number composed of seven prime numbers multiplied together.
137991768408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137991768408:
23 × 32 × 13 × 31 × 41 × 193 × 601
(2 × 2 × 2 × 3 × 3 × 13 × 31 × 41 × 193 × 601)See below for interesting mathematical facts about the number 137991768408 from the Numbermatics database.
Names of 137991768408
- Cardinal: 137991768408 can be written as One hundred thirty-seven billion, nine hundred ninety-one million, seven hundred sixty-eight thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37991768408 × 1011
Factors of 137991768408
Divisors of 137991768408
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 41 52 62 72 78 82 93 104 117 123 124 156 164 186 193 234 246 248 279 312 328 369 372 386 403 468 492 533 558 579 601 738 744 772 806 936 984 1066 1116 1158 1202 1209 1271 1476 1544 1599 1612 1737 1803 2132 2232 2316 2404 2418 2509 2542 2952 3198 3224 3474 3606 3627 3813 4264 4632 4797 4808 4836 5018 5084 5409 5983 6396 6948 7212 7254 7527 7626 7813 7913 9594 9672 10036 10168 10818 11439 11966 12792 13896 14424 14508 15054 15252 15626 15826 16523 17949 18631 19188 20072 21636 22581 22878 23439 23739 23932 24641 29016 30108 30504 31252 31652 33046 35898 37262 38376 43272 45162 45756 46878 47478 47864 49282 49569 53847 55893 60216 62504 63304 66092 70317 71217 71796 73923 74524 77779 90324 91512 93756 94956 98564 99138 102869 107694 111786 115993 132184 140634 142434 143592 147846 148707 149048 155558 167679 180648 187512 189912 197128 198276 205738 215388 221769 223572 231986 233337 242203 245303 281268 284868 295692 297414 308607 311116 320333 335358 347979 396552 411476 430776 443538 447144 463972 466674 484406 490606 562536 569736 591384 594828 617214 622232 640666 670716 695958 700011 726609 735909 763871 822952 887076 925821 927944 933348 960999 968812 981212 1043937 1189656 1234428 1281332 1341432 1391916 1400022 1453218 1471818 1507909 1527742 1774152 1851642 1866696 1921998 1937624 1962424 2087874 2179827 2207727 2291613 2468856 2562664 2783832 2800044 2882997 2906436 2943636 3015818 3055484 3188939 3595783 3703284 3843996 4175748 4359654 4415454 4523727 4583226 4755713 5600088 5765994 5812872 5887272 6031636 6110968 6377878 6874839 7191566 7406568 7687992 8351496 8719308 8830908 9047454 9166452 9511426 9566817 9930323 10787349 11531988 12063272 12755756 13571181 13749678 14267139 14383132 17438616 17661816 18094908 18332904 19022852 19133634 19860646 21574698 23063976 25511512 27142362 27499356 28534278 28700451 28766264 29790969 32362047 36189816 38045704 38267268 39721292 42801417 43149396 46745179 54284724 54998712 57068556 57400902 59581938 61824269 64724094 76534536 79442584 85602834 86298792 89372907 93490358 108569448 114137112 114801804 119163876 123648538 129448188 140235537 147427103 171205668 178745814 185472807 186980716 229603608 238327752 247297076 258896376 280471074 294854206 342411336 357491628 370945614 373961432 420706611 442281309 494594152 556418421 560942148 589708412 714983256 741891228 841413222 884562618 1112836842 1121884296 1179416824 1326843927 1483782456 1682826444 1769125236 1916552339 2225673684 2653687854 3365652888 3538250472 3833104678 4451347368 5307375708 5749657017 7666209356 10614751416 11499314034 15332418712 17248971051 22998628068 34497942102 45997256136 68995884204 137991768408
- Sum of all divisors σ(n): 428509186560
- Sum of proper divisors (its aliquot sum) s(n): 290517418152
- 137991768408 is an abundant number, because the sum of its proper divisors (290517418152) is greater than itself. Its abundance is 152525649744
Bases of 137991768408
- Binary: 100000001000001111001101001001010110002
- Hexadecimal: 0x2020F34958
- Base-36: 1RE4QHY0
Squares and roots of 137991768408
- 137991768408 squared (1379917684082) is 19041728148367106854464
- 137991768408 cubed (1379917684083) is 2627601740737568472426185648973312
-
The
square root of 137991768408 is 371472.4329045159 -
The
cube root of 137991768408 is 5167.5465015761
Scales and comparisons
How big is 137991768408?- 137,991,768,408 seconds is equal to 4,387 years, 36 weeks, 6 days, 22 hours, 46 minutes, 48 seconds.
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To count from 1 to 137,991,768,408 would take you about eight thousand, seven hundred seventy-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 137991768408 cubic inches would be around 430.6 feet tall.
Recreational maths with 137991768408
- 137991768408 backwards is 804867199731
- The number of decimal digits it has is: 12
- The sum of 137991768408's digits is 63
- More coming soon!
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