137316688128

Names of 137316688128

• Cardinal: 137316688128 can be written as One hundred thirty-seven billion, three hundred sixteen million, six hundred eighty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37316688128 × 10¹¹

Factors of 137316688128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 366

Divisors of 137316688128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 64 72 76 96 108 114 122 128 144 152 171 183 192 216 228 244 256 281 288 304 342 366 384 432 456 488 513 549 562 576 608 684 732 768 843 864 912 976 1026 1098 1124 1152 1159 1216 1368 1464 1647 1686 1728 1824 1952 2052 2196 2248 2304 2318 2432 2529 2736 2928 3294 3372 3456 3477 3648 3721 3904 4104 4392 4496 4636 4864 5058 5339 5472 5856 6588 6744 6912 6954 7296 7442 7587 7808 8208 8784 8992 9272 10116 10431 10678 10944 11163 11712 13176 13488 13908 14592 14884 15174 15616 16017 16416 17141 17568 17984 18544 20232 20862 21356 21888 22326 23424 26352 26976 27816 29768 30348 31293 32034 32832 33489 34282 35136 35968 37088 40464 41724 42712 43776 44652 46848 48051 51423 52704 53952 55632 59536 60696 62586 64068 65664 66978 68564 70272 70699 71936 74176 80928 83448 85424 89304 96102 100467 102846 105408 107904 111264 119072 121392 125172 128136 131328 133956 137128 140544 141398 144153 148352 154269 161856 166896 170848 178608 192204 200934 205692 210816 212097 215808 222528 238144 242784 250344 256272 267912 274256 282796 288306 296704 308538 323712 325679 333792 341696 357216 384408 401868 411384 421632 424194 445056 462807 476288 485568 500688 512544 535824 548512 565592 576612 617076 636291 647424 651358 667584 683392 714432 768816 803736 822768 848388 890112 925614 952576 971136 977037 1001376 1025088 1045601 1071648 1097024 1131184 1153224 1234152 1272582 1302716 1335168 1366784 1428864 1537632 1607472 1645536 1696776 1851228 1908873 1942272 1954074 2002752 2050176 2091202 2143296 2194048 2262368 2306448 2468304 2545164 2605432 2670336 2857728 2931111 3075264 3136803 3214944 3291072 3393552 3702456 3817746 3908148 4005504 4100352 4182404 4286592 4388096 4524736 4612896 4936608 5090328 5210864 5862222 6150528 6273606 6429888 6582144 6787104 7404912 7635492 7816296 8011008 8364808 8573184 8793333 9049472 9225792 9410409 9873216 10180656 10421728 11724444 12301056 12547212 12859776 13164288 13574208 14809824 15270984 15632592 16729616 17586666 18098944 18451584 18820818 19746432 19866419 20361312 20843456 23448888 25094424 25719552 27148416 28231227 29619648 30541968 31265184 33459232 35173332 36903168 37641636 39492864 39732838 40722624 41686912 46897776 50188848 54296832 56462454 59239296 59599257 61083936 62530368 66918464 70346664 75283272 79465676 81445248 83373824 93795552 100377696 112924908 118478592 119198514 122167872 125060736 133836928 140693328 150566544 158931352 162890496 178797771 187591104 200755392 225849816 238397028 244335744 250121472 267673856 281386656 301133088 317862704 357595542 375182208 401510784 451699632 476794056 488671488 536393313 562773312 602266176 635725408 715191084 750364416 803021568 903399264 953588112 1072786626 1125546624 1204532352 1271450816 1430382168 1806798528 1907176224 2145573252 2251093248 2409064704 2542901632 2860764336 3613597056 3814352448 4291146504 5085803264 5721528672 7227194112 7628704896 8582293008 11443057344 15257409792 17164586016 22886114688 34329172032 45772229376 68658344064 137316688128
• Sum of all divisors σ(n): 436110292800
• Sum of proper divisors (its aliquot sum) s(n): 298793604672
• 137316688128 is an abundant number, because the sum of its proper divisors (298793604672) is greater than itself. Its abundance is 161476916544

Bases of 137316688128

• Binary: 1111111111000101101100110000100000000₂
• Hexadecimal: 0x1FF8B66100
• Base-36: 1R2YT6O0

Squares and roots of 137316688128

• 137316688128 squared (137316688128²) is 18855872838442416144384
• 137316688128 cubed (137316688128³) is 2589226009937623386985169946673152
• The square root of 137316688128 is 370562.6642391269
• The cube root of 137316688128 is 5159.1058699515

Scales and comparisons

• 137,316,688,128 seconds is equal to 4,366 years, 12 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,316,688,128 would take you about eight thousand, seven hundred thirty-two 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 137316688128 cubic inches would be around 429.9 feet tall.

Recreational maths with 137316688128

• 137316688128 backwards is 821886613731
• 137316688128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137316688128's digits is 54
• More coming soon!