137920069872

Names of 137920069872

• Cardinal: 137920069872 can be written as One hundred thirty-seven billion, nine hundred twenty million, sixty-nine thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.37920069872 × 10¹¹

Factors of 137920069872

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 147

Divisors of 137920069872

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 37 39 48 52 54 61 62 72 74 78 81 93 104 108 111 117 122 124 144 148 156 162 169 183 186 208 216 222 234 243 244 248 279 296 312 324 333 338 351 366 372 403 432 444 468 481 486 488 496 507 549 558 592 624 648 666 676 702 729 732 744 793 806 837 888 936 962 972 976 999 1014 1053 1098 1116 1147 1209 1296 1332 1352 1404 1443 1458 1464 1488 1521 1586 1612 1647 1674 1776 1872 1891 1924 1944 1998 2028 2106 2196 2232 2257 2294 2379 2418 2511 2664 2704 2808 2886 2916 2928 2997 3042 3159 3172 3224 3294 3348 3441 3627 3782 3848 3888 3996 4056 4212 4329 4392 4464 4514 4563 4588 4758 4836 4941 5022 5239 5328 5616 5673 5772 5832 5994 6084 6253 6318 6344 6448 6588 6696 6771 6882 7137 7254 7533 7564 7696 7992 8112 8424 8658 8784 8991 9028 9126 9176 9477 9516 9672 9882 10044 10309 10323 10478 10881 11346 11544 11664 11988 12168 12506 12636 12688 12987 13176 13392 13542 13689 13764 14274 14508 14823 14911 15066 15128 15717 15984 16848 17019 17316 17982 18056 18252 18352 18759 18954 19032 19344 19764 20088 20313 20618 20646 20956 21411 21762 22599 22692 23088 23976 24336 24583 25012 25272 25974 26352 26973 27084 27378 27528 28548 29016 29341 29646 29822 30132 30256 30927 30969 31434 32643 34038 34632 35964 36112 36504 37518 37908 38064 38961 39528 40176 40626 41067 41236 41292 41912 42822 43524 44469 44733 45198 45384 47151 47952 49166 50024 50544 51057 51948 53946 54168 54756 55056 56277 57096 58032 58682 59292 59644 60264 60939 61854 61938 62868 64233 65286 68076 69264 69967 71928 73008 73749 75036 75816 77922 79056 81252 82134 82472 82584 83824 85644 87048 88023 88938 89466 90396 90768 92781 92907 94302 97929 98332 100048 102114 103896 107892 108336 109512 112554 114192 116883 117364 118584 119288 120528 121878 123201 123708 123876 125736 128466 130572 134199 136152 139934 141453 143856 147498 150072 151632 153171 155844 162504 164268 164944 165168 168831 171288 174096 176046 177876 178932 180792 182817 185562 185814 188604 192699 193843 195858 196664 204228 207792 209901 215784 219024 221247 225108 233766 234728 237168 238576 243756 246402 247416 247752 251472 256932 261144 264069 268398 272304 278343 278721 279868 282906 293787 294996 300144 306342 311688 319579 325008 328536 337662 342576 350649 352092 355752 357864 361584 365634 371124 371628 377208 381433 385398 387686 391716 393328 402597 408456 419802 424359 431568 442494 450216 459513 467532 469456 487512 492804 494832 495504 506493 513864 522288 528138 536796 548451 556686 557442 559736 565812 578097 581529 587574 589992 612684 623376 629703 639158 657072 663741 675324 701298 704184 711504 715728 731268 742248 743256 754416 762866 770796 775372 783432 792207 805194 816912 835029 836163 839604 848718 884988 900432 909571 919026 935064 958737 975024 985608 1012986 1027728 1056276 1073592 1096902 1113372 1114884 1119472 1131624 1144299 1156194 1163058 1175148 1179984 1207791 1225368 1259406 1273077 1278316 1327482 1350648 1378539 1402596 1408368 1462536 1484496 1486512 1519479 1525732 1541592 1550744 1566864 1584414 1610388 1645353 1670058 1672326 1679208 1697436 1744587 1769976 1819142 1838052 1870128 1889109 1917474 1971216 1991223 2025972 2112552 2147184 2193804 2226744 2229768 2263248 2288598 2312388 2326116 2350296 2376621 2415582 2450736 2505087 2518812 2546154 2556632 2654964 2701296 2728713 2757078 2805192 2876211 2925072 3038958 3051464 3083184 3101488 3168828 3220776 3290706 3340116 3344652 3358416 3394872 3432897 3489174 3539952 3623373 3638284 3676104 3778218 3819231 3834948 3982446 4051944 4225104 4387608 4453488 4459536 4558437 4577196 4624776 4652232 4700592 4753242 4831164 5010174 5037624 5092308 5113264 5233761 5309928 5457426 5514156 5610384 5667327 5752422 5973669 6077916 6102928 6337656 6441552 6581412 6680232 6689304 6789744 6865794 6978348 7129863 7246746 7276568 7352208 7515261 7556436 7638462 7669896 7964892 8103888 8186139 8628633 8775216 9116874 9154392 9249552 9304464 9506484 9662328 10020348 10075248 10184616 10298691 10467522 10619856 10870119 10914852 11028312 11334654 11504844 11824423 11947338 12155832 12675312 13162824 13360464 13378608 13731588 13956696 14259726 14493492 14553136 15030522 15112872 15276924 15339792 15701283 15929784 16372278 17001981 17257266 17921007 18233748 18308784 19012968 19324656 20040696 20369232 20597382 20935044 21389589 21740238 21829704 22056624 22669308 23009688 23648846 23894676 24311664 24558417 25885899 26325648 27463176 27913392 28519452 28986984 30061044 30225744 30553848 30896073 31402566 31859568 32744556 34003962 34514532 35473269 35842014 36467496 38025936 40081392 41194764 41870088 42779178 43480476 43659408 45338616 46019376 47103849 47297692 47789352 49116834 51005943 51771798 54926352 57038904 57973968 60122088 61107696 61792146 62805132 65489112 68007924 69029064 70946538 71684028 72934992 73675251 77657697 82389528 83740176 85558356 86960952 90677232 92688219 94207698 94595384 95578704 98233668 102011886 103543596 106419807 114077808 120244176 123584292 125610264 130978224 136015848 138058128 141311547 141893076 143368056 147350502 155315394 164779056 171116712 173921904 185376438 188415396 189190768 196467336 204023772 207087192 212839614 221025753 232973091 247168584 251220528 272031696 278064657 282623094 283786152 286736112 294701004 310630788 319259421 342233424 370752876 376830792 392934672 408047544 414174384 425679228 442051506 465946182 494337168 556129314 565246188 567572304 589402008 621261576 638518842 663077259 741505752 753661584 816095088 851358456 884103012 931892364 957778263 1112258628 1130492376 1178804016 1242523152 1277037684 1326154518 1483011504 1702716912 1768206024 1863784728 1915556526 2224517256 2260984752 2554075368 2652309036 2873334789 3536412048 3727569456 3831113052 4449034512 5108150736 5304618072 5746669578 7662226104 8620004367 10609236144 11493339156 15324452208 17240008734 22986678312 34480017468 45973356624 68960034936 137920069872
• Sum of all divisors σ(n): 467474805888
• Sum of proper divisors (its aliquot sum) s(n): 329554736016
• 137920069872 is an abundant number, because the sum of its proper divisors (329554736016) is greater than itself. Its abundance is 191634666144

Bases of 137920069872

• Binary: 10000000011100101011010100000011110000₂
• Hexadecimal: 0x201CAD40F0
• Base-36: 1RCY1R00

Squares and roots of 137920069872

• 137920069872 squared (137920069872²) is 19021945673497362096384
• 137920069872 cubed (137920069872³) is 2623508076390144278940965678542848
• The square root of 137920069872 is 371375.9145017351
• The cube root of 137920069872 is 5166.6513522701

Scales and comparisons

• 137,920,069,872 seconds is equal to 4,385 years, 22 weeks, 3 days, 2 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,920,069,872 would take you about eight thousand, seven hundred seventy 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 137920069872 cubic inches would be around 430.6 feet tall.

Recreational maths with 137920069872

• 137920069872 backwards is 278960029731
• 137920069872 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137920069872's digits is 54
• More coming soon!