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104414514435 = 32571130134059
BaseRepresentation
bin110000100111110010…
…1110000110100000011
3100222111211022220121100
41201033211300310003
53202320103430220
6115544541225443
710354326504660
oct1411745606403
9328454286540
10104414514435
11403112a9140
12182a0262283
139b0028506a
1450a7476a67
152ab1a8dd90
hex184f970d03

104414514435 has 48 divisors (see below), whose sum is σ = 225643841280. Its totient is φ = 43393043520.

The previous prime is 104414514401. The next prime is 104414514443. The reversal of 104414514435 is 534415414401.

104414514435 is a `hidden beast` number, since 1 + 0 + 441 + 45 + 144 + 35 = 666.

It is not a de Polignac number, because 104414514435 - 215 = 104414481667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104414514435.

It is an unprimeable number.

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, 15063565 + ... + 15070494.

It is an arithmetic number, because the mean of its divisors is an integer number (4700913360).

Almost surely, 2104414514435 is an apocalyptic number.

104414514435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104414514435 is an abundant number, since it is smaller than the sum of its proper divisors (121229326845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104414514435 is a wasteful number, since it uses less digits than its factorization.

104414514435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30134088 (or 30134085 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 104414514435 its reverse (534415414401), we get a palindrome (638829928836).

The spelling of 104414514435 in words is "one hundred four billion, four hundred fourteen million, five hundred fourteen thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 30134059 90402177 150670295 210938413 271206531 331474649 452010885 632815239 994423947 1054692065 1356032655 1657373245 1898445717 2320322543 2983271841 3164076195 4972119735 6960967629 9492228585 11601612715 14916359205 20882902887 34804838145 104414514435