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104414631381 = 3271832298597
BaseRepresentation
bin110000100111110011…
…0001101010111010101
3100222111211112212000200
41201033212031113111
53202320121201011
6115544543531113
710354330502634
oct1411746152725
9328454485020
10104414631381
1140311378a95
12182a02b9a99
139b002c6368
1450a74a751b
152ab1ab3856
hex184f98d5d5

104414631381 has 48 divisors (see below), whose sum is σ = 155482104960. Its totient is φ = 67498542720.

The previous prime is 104414631367. The next prime is 104414631521. The reversal of 104414631381 is 183136414401.

104414631381 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 14 + 631 + 3 + 8 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-104414631381 is a prime.

It is a super-2 number, since 2×1044146313812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414631301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12141175 + ... + 12149771.

It is an arithmetic number, because the mean of its divisors is an integer number (3239210520).

Almost surely, 2104414631381 is an apocalyptic number.

It is an amenable number.

104414631381 is a deficient number, since it is larger than the sum of its proper divisors (51067473579).

104414631381 is a wasteful number, since it uses less digits than its factorization.

104414631381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 104414631381 in words is "one hundred four billion, four hundred fourteen million, six hundred thirty-one thousand, three hundred eighty-one".

Divisors: 1 3 9 71 83 213 229 249 639 687 747 2061 5893 8597 16259 17679 19007 25791 48777 53037 57021 77373 146331 171063 610387 713551 1349497 1831161 1968713 2140653 4048491 5493483 5906139 6421959 12145473 17718417 50662121 139778623 151986363 163403179 419335869 455959089 490209537 1258007607 1470628611 11601625709 34804877127 104414631381