137531894411646090

Names of 137531894411646090

• Cardinal: 137531894411646090 can be written as One hundred thirty-seven quadrillion, five hundred thirty-one trillion, eight hundred ninety-four billion, four hundred eleven million, six hundred forty-six thousand and ninety.

Scientific notation

• Scientific notation: 1.3753189441164609 × 10¹⁷

Factors of 137531894411646090

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 2377858

Divisors of 137531894411646090

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 613 885 1062 1226 1770 1839 2655 3065 3678 5310 5517 6130 9195 11034 17909 18390 27585 35818 36167 53727 55170 72334 89545 107454 108501 161181 179090 180835 217002 268635 322362 325503 361670 537270 542505 651006 805905 1056631 1085010 1611810 1627515 2113262 2359267 3169893 3255030 4718534 5283155 6339786 7077801 9509679 10566310 10978217 11796335 14155602 15849465 19019358 21233403 21956434 23592670 31698930 32934651 35389005 42466806 47548395 54891085 65869302 70778010 95096790 98803953 106167015 109782170 139196753 164673255 197607906 212334030 278393506 329346510 417590259 494019765 647714803 695983765 835180518 988039530 1252770777 1295429606 1391967530 1446230671 1943144409 2087951295 2505541554 2892461342 3238574015 3886288818 4175902590 4338692013 5829433227 6263853885 6477148030 7231153355 8677384026 9715722045 11658866454 12527707770 13016076039 14462306710 19431444090 21693460065 26032152078 29147166135 42252112703 43386920130 58294332270 65080380195 84504225406 85327609589 126756338109 130160760390 170655219178 211260563515 253512676218 255982828767 380269014327 422521127030 426638047945 511965657534 633781690545 760538028654 767948486301 853276095890 1267563381090 1279914143835 1535896972602 1901345071635 2492874649477 2559828287670 3802690143270 3839742431505 4985749298954 7478623948431 7679484863010 12464373247385 14957247896862 22435871845293 24928746494770 25900545086939 37393119742155 44871743690586 51801090173878 74786239484310 77701635260817 112179359226465 129502725434695 155403270521634 224358718452930 233104905782451 259005450869390 388508176304085 466209811564902 777016352608170 1165524528912255 1528132160129401 2331049057824510 3056264320258802 4584396480388203 7640660800647005 9168792960776406 13753189441164609 15281321601294010 22921982401941015 27506378882329218 45843964803882030 68765947205823045 137531894411646090
• Sum of all divisors σ(n): 364257365279932800
• Sum of proper divisors (its aliquot sum) s(n): 226725470868286710
• 137531894411646090 is an abundant number, because the sum of its proper divisors (226725470868286710) is greater than itself. Its abundance is 89193576456640620

Bases of 137531894411646090

• Binary: 111101000100111001000011101111111101100010101010010001010₂
• Hexadecimal: 0x1E89C877FB1548A
• Base-36: 11M6ZK2CER2I

Squares and roots of 137531894411646090

• 137531894411646090 squared (137531894411646090²) is 18915021980456169000241423412288100
• 137531894411646090 cubed (137531894411646090³) is 2601418805810062747106127804476516270364254318529000
• The square root of 137531894411646090 is 370852928.2770274823
• The cube root of 137531894411646090 is 516179.9624816265

Scales and comparisons

• 137,531,894,411,646,090 seconds is equal to 4,373,088,828 years, 10 weeks, 6 days, 3 hours, 1 minute, 30 seconds.
• To count from 1 to 137,531,894,411,646,090 would take you about thirteen billion, one hundred nineteen million, two hundred sixty-six thousand, four hundred eighty-four 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 137531894411646090 cubic inches would be around 43015 feet tall.

Recreational maths with 137531894411646090

• 137531894411646090 backwards is 090646114498135731
• The number of decimal digits it has is: 18
• The sum of 137531894411646090's digits is 72
• More coming soon!