137077668513016

Names of 137077668513016

• Cardinal: 137077668513016 can be written as One hundred thirty-seven trillion, seventy-seven billion, six hundred sixty-eight million, five hundred thirteen thousand and sixteen.

Scientific notation

• Scientific notation: 1.37077668513016 × 10¹⁴

Factors of 137077668513016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 8740

Divisors of 137077668513016

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 11 14 19 22 28 38 44 56 61 76 77 88 121 122 133 152 154 209 242 244 266 308 418 427 484 488 532 616 671 836 847 854 968 1064 1159 1342 1463 1672 1694 1708 2299 2318 2684 2926 3221 3388 3416 4598 4636 4697 5368 5419 5852 6442 6776 7381 8113 9196 9272 9394 10838 11704 12749 12884 14762 16093 16226 18392 18788 21676 22547 25498 25768 29524 32186 32452 35431 37576 37933 43352 45094 50996 51667 59048 59609 61199 64372 64904 70862 75866 89243 90188 101992 102961 103334 119218 122398 128744 140239 141724 151732 178486 180376 196481 205922 206668 238436 244796 248017 280478 283448 303464 330559 356972 389741 392962 411844 413336 417263 428393 476872 489592 496034 560956 655699 661118 673189 713944 720727 779482 785924 823688 834526 856786 981673 992068 1121912 1132571 1311398 1322236 1346378 1375367 1441454 1558964 1571848 1669052 1713572 1963346 1984136 2161291 2265142 2313913 2622796 2644472 2692756 2728187 2750734 2882908 3117928 3338104 3427144 3636149 3733139 3926692 4322582 4530284 4589893 4627826 4712323 5245592 5385512 5456374 5501468 5765816 6280621 7272298 7405079 7466278 7853384 7927997 8645164 9060568 9179786 9255652 9424646 10912748 11002936 12458281 12561242 14544596 14810158 14932556 15129037 15855994 17290328 17454599 18359572 18511304 18849292 21825496 23774201 24916562 25122484 25453043 26131973 29089192 29620316 29865112 30258074 31711988 34909198 36719144 37698584 39997639 41064529 43964347 47548402 49833124 50244968 50906086 51835553 52263946 59240632 60516148 63423976 69086831 69818396 79995278 82129058 87207967 87928694 95096804 99666248 101812172 103671106 104527892 121032296 122182193 138173662 139636792 159990556 164258116 166419407 174415934 175857388 190193608 192000589 203624344 207342212 209055784 244364386 276347324 279983473 287451703 319981112 328516232 331637381 332838814 348831868 351714776 384001178 414684424 451709819 483607817 488728772 552694648 559966946 574903406 663274762 665677628 697663736 759955141 768002356 903419638 967215634 977457544 1064730539 1119933892 1149806812 1326549524 1331355256 1344004123 1519910282 1536004712 1806839276 1934431268 2112006479 2129461078 2239867784 2299613624 2321461667 2653099048 2688008246 3039820564 3161968733 3613678552 3648011191 3868862536 4224012958 4258922156 4642923334 5319685987 5376016492 6079641128 6323937466 7296022382 7453113773 8448025916 8517844312 9285846668 10639371974 10752032984 11712035929 12647874932 14592044764 14784045353 14906227546 16896051832 18571693336 20229880241 21278743948 23424071858 25295749864 25536078337 29184089528 29568090706 29812455092 40128123101 40459760482 42557487896 46848143716 51072156674 59136181412 59624910184 80256246202 80919520964 81984251503 93696287432 102144313348 118272362824 128832395219 141609161687 160512492404 161839041928 163968503006 204288626696 222528682651 257664790438 280896861707 283218323374 321024984808 327937006012 445057365302 515329580876 561793723414 566436646748 655874012024 890114730604 901826766533 1030659161752 1123587446828 1132873293496 1557700778557 1780229461208 1803653533066 2247174893656 2447815509161 3115401557114 3607307066132 4895631018322 6230803114228 7214614132264 9791262036644 12461606228456 17134708564127 19582524073288 34269417128254 68538834256508 137077668513016
• Sum of all divisors σ(n): 345604504896000
• Sum of proper divisors (its aliquot sum) s(n): 208526836382984
• 137077668513016 is an abundant number, because the sum of its proper divisors (208526836382984) is greater than itself. Its abundance is 71449167869968

Bases of 137077668513016

• Binary: 11111001010101111100001101111010000010011111000₂
• Hexadecimal: 0x7CABE1BD04F8
• Base-36: 1CL8M0LBEG

Squares and roots of 137077668513016

• 137077668513016 squared (137077668513016²) is 18790287204964298116561416256
• 137077668513016 cubed (137077668513016³) is 2575728760746461989816995481715642529988096
• The square root of 137077668513016 is 11708017.2750562681
• The cube root of 137077668513016 is 51561.1074074251

Scales and comparisons

• 137,077,668,513,016 seconds is equal to 4,358,645 years, 44 weeks, 1 day, 6 hours, 30 minutes, 16 seconds.
• To count from 1 to 137,077,668,513,016 would take you about ten million, eight hundred ninety-six thousand, six hundred fourteen 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 137077668513016 cubic inches would be around 4296.8 feet tall.

Recreational maths with 137077668513016

• 137077668513016 backwards is 610315866770731
• 137077668513016 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137077668513016's digits is 61
• More coming soon!