13137957135581184

Names of 13137957135581184

• Cardinal: 13137957135581184 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, nine hundred fifty-seven billion, one hundred thirty-five million, five hundred eighty-one thousand, one hundred eighty-four.

Scientific notation

• Scientific notation: 1.3137957135581184 × 10¹⁶

Factors of 13137957135581184

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 74628

Divisors of 13137957135581184

• Number of divisors d(n): 171
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 74623 98304 131072 147456 149246 196608 223869 262144 294912 298492 393216 447738 589824 596984 671607 786432 895476 1179648 1193968 1343214 1790952 2359296 2387936 2686428 3581904 4775872 5372856 7163808 9551744 10745712 14327616 19103488 21491424 28655232 38206976 42982848 57310464 76413952 85965696 114620928 152827904 171931392 229241856 305655808 343862784 458483712 611311616 687725568 916967424 1222623232 1375451136 1833934848 2445246464 2750902272 3667869696 4890492928 5501804544 5568592129 7335739392 9780985856 11003609088 11137184258 14671478784 16705776387 19561971712 22007218176 22274368516 29342957568 33411552774 44014436352 44548737032 50117329161 58685915136 66823105548 88028872704 89097474064 100234658322 133646211096 176057745408 178194948128 200469316644 267292422192 356389896256 400938633288 534584844384 712779792512 801877266576 1069169688768 1425559585024 1603754533152 2138339377536 2851119170048 3207509066304 4276678755072 5702238340096 6415018132608 8553357510144 11404476680192 12830036265216 17106715020288 22808953360384 25660072530432 34213430040576 45617906720768 51320145060864 68426860081152 91235813441536 102640290121728 136853720162304 182471626883072 205280580243456 273707440324608 364943253766144 410561160486912 547414880649216 729886507532288 821122320973824 1094829761298432 1459773015064576 1642244641947648 2189659522596864 3284489283895296 4379319045193728 6568978567790592 13137957135581184
• Sum of all divisors σ(n): 37954534617091443
• Sum of proper divisors (its aliquot sum) s(n): 24816577481510259
• 13137957135581184 is an abundant number, because the sum of its proper divisors (24816577481510259) is greater than itself. Its abundance is 11678620345929075

Bases of 13137957135581184

• Binary: 101110101011001110011100000100001001000000000000000000₂
• Hexadecimal: 0x2EACE704240000
• Base-36: 3LD0M6QIV40

Squares and roots of 13137957135581184

• 13137957135581184 squared (13137957135581184²) is 172605917696368549184433454841856
• 13137957135581184 cubed (13137957135581184³) is 2267689148042543742017672197861468104861369237504
• 13137957135581184 is a perfect square number. Its square root is 114620928
• The cube root of 13137957135581184 is 235962.2960904001

Scales and comparisons

• 13,137,957,135,581,184 seconds is equal to 417,746,398 years, 28 weeks, 1 day, 5 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,137,957,135,581,184 would take you about one billion, two hundred fifty-three million, two hundred thirty-nine thousand, one hundred ninety-five 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 13137957135581184 cubic inches would be around 19663.5 feet tall.

Recreational maths with 13137957135581184

• 13137957135581184 backwards is 48118553175973131
• 13137957135581184 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13137957135581184's digits is 72
• More coming soon!