137536164864

Names of 137536164864

• Cardinal: 137536164864 can be written as One hundred thirty-seven billion, five hundred thirty-six million, one hundred sixty-four thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37536164864 × 10¹¹

Factors of 137536164864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 293

Divisors of 137536164864

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 281 288 324 336 378 384 432 448 486 504 512 562 567 576 648 672 756 768 843 864 896 972 1008 1024 1124 1134 1152 1296 1344 1512 1536 1686 1701 1728 1792 1944 1967 2016 2248 2268 2304 2529 2592 2688 3024 3072 3372 3402 3456 3584 3888 3934 4032 4496 4536 4608 5058 5184 5376 5901 6048 6744 6804 6912 7168 7587 7776 7868 8064 8992 9072 9216 10116 10368 10752 11802 12096 13488 13608 13824 15174 15552 15736 16128 17703 17984 18144 20232 20736 21504 22761 23604 24192 26976 27216 27648 30348 31104 31472 32256 35406 35968 36288 40464 41472 45522 47208 48384 53109 53952 54432 60696 62208 62944 64512 68283 70812 71936 72576 78961 80928 82944 91044 94416 96768 106218 107904 108864 121392 124416 125888 136566 141624 143872 145152 157922 159327 161856 182088 188832 193536 212436 215808 217728 236883 242784 248832 251776 273132 283248 287744 290304 315844 318654 323712 364176 377664 424872 431616 435456 473766 477981 485568 503552 546264 552727 566496 580608 631688 637308 647424 710649 728352 755328 849744 863232 870912 947532 955962 971136 1007104 1092528 1105454 1132992 1263376 1274616 1294848 1421298 1456704 1510656 1658181 1699488 1741824 1895064 1911924 1942272 2014208 2131947 2185056 2210908 2265984 2526752 2549232 2589696 2842596 2913408 3021312 3316362 3398976 3790128 3823848 3884544 4263894 4370112 4421816 4531968 4974543 5053504 5098464 5685192 5826816 6042624 6395841 6632724 6797952 7580256 7647696 7769088 8527788 8740224 8843632 9063936 9949086 10107008 10196928 11370384 11653632 12791682 13265448 13595904 14923629 15160512 15295392 17055576 17480448 17687264 18127872 19187523 19898172 20214016 20393856 22740768 23307264 25583364 26530896 27191808 29847258 30321024 30590784 34111152 34960896 35374528 38375046 39796344 40428032 40787712 44770887 45481536 51166728 53061792 54383616 59694516 60642048 61181568 68222304 69921792 70749056 76750092 79592688 80856064 81575424 89541774 90963072 102333456 106123584 119389032 121284096 122363136 134312661 136444608 141498112 153500184 159185376 163150848 179083548 181926144 204666912 212247168 238778064 242568192 244726272 268625322 272889216 282996224 307000368 318370752 358167096 363852288 409333824 424494336 477556128 489452544 537250644 545778432 565992448 614000736 636741504 716334192 727704576 818667648 848988672 955112256 1074501288 1091556864 1228001472 1273483008 1432668384 1637335296 1697977344 1910224512 2149002576 2183113728 2456002944 2546966016 2865336768 3274670592 3820449024 4298005152 4912005888 5093932032 5730673536 6549341184 7640898048 8596010304 9824011776 11461347072 15281796096 17192020608 19648023552 22922694144 34384041216 45845388288 68768082432 137536164864
• Sum of all divisors σ(n): 472356745952
• Sum of proper divisors (its aliquot sum) s(n): 334820581088
• 137536164864 is an abundant number, because the sum of its proper divisors (334820581088) is greater than itself. Its abundance is 197284416224

Bases of 137536164864

• Binary: 10000000000101110010110101010000000000₂
• Hexadecimal: 0x2005CB5400
• Base-36: 1R6LHC00

Squares and roots of 137536164864

• 137536164864 squared (137536164864²) is 18916196645497388138496
• 137536164864 cubed (137536164864³) is 2601661140434972538297583921004544
• The square root of 137536164864 is 370858.6858413863
• The cube root of 137536164864 is 5161.8530499783

Scales and comparisons

• 137,536,164,864 seconds is equal to 4,373 years, 11 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,536,164,864 would take you about eight thousand, seven hundred forty-six 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 137536164864 cubic inches would be around 430.2 feet tall.

Recreational maths with 137536164864

• 137536164864 backwards is 468461635731
• 137536164864 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137536164864's digits is 54
• More coming soon!