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54024012634131 = 321271129316713219
BaseRepresentation
bin11000100100010011100100…
…00101010001100000010011
321002021122102022212011112200
430102021302011101200103
524040112134213243011
6310522142213254243
714244051252435021
oct1422116205214023
9232248368764480
1054024012634131
1116239500802131
126086270634383
13241b59a31c557
14d4aac1b11711
1563a44dca4856
hex312272151813

54024012634131 has 48 divisors (see below), whose sum is σ = 78749606707200. Its totient is φ = 35686795584384.

The previous prime is 54024012634069. The next prime is 54024012634199. The reversal of 54024012634131 is 13143621042045.

54024012634131 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 4 + 0 + 1 + 2 + 634 + 13 + 1 = 666.

It is not a de Polignac number, because 54024012634131 - 27 = 54024012634003 is a prime.

It is a super-2 number, since 2×540240126341312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54024012634531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4086839040 + ... + 4086852258.

It is an arithmetic number, because the mean of its divisors is an integer number (1640616806400).

Almost surely, 254024012634131 is an apocalyptic number.

54024012634131 is a deficient number, since it is larger than the sum of its proper divisors (24725594073069).

54024012634131 is a wasteful number, since it uses less digits than its factorization.

54024012634131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 54024012634131 its reverse (13143621042045), we get a palindrome (67167633676176).

The spelling of 54024012634131 in words is "fifty-four trillion, twenty-four billion, twelve million, six hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 127 381 1129 1143 3167 3387 9501 10161 13219 28503 39657 118971 143383 402209 430149 1206627 1290447 1678813 3575543 3619881 5036439 10726629 14924251 15109317 32179887 41864573 44772753 125593719 134318259 376781157 454093961 1362281883 1895379877 4086845649 5316800771 5686139631 15950402313 17058418893 47265102917 47851206939 141795308751 425385926253 6002668070459 18008004211377 54024012634131