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441880434117 = 32174746436053
BaseRepresentation
bin1100110111000100010…
…00000101010111000101
31120020120101222212011100
412123202020011113011
524214432342342432
6534555211130313
743632131501013
oct6334210052705
91506511885140
10441880434117
11160444a92421
1271780a43999
13328911637c5
141755c3c38b3
15b76352607c
hex66e22055c5

441880434117 has 24 divisors (see below), whose sum is σ = 638880169824. Its totient is φ = 294306290784.

The previous prime is 441880434113. The next prime is 441880434161. The reversal of 441880434117 is 711434088144.

441880434117 is a `hidden beast` number, since 4 + 418 + 80 + 43 + 4 + 117 = 666.

It is not a de Polignac number, because 441880434117 - 22 = 441880434113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441880434113) 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 23 ways as a sum of consecutive naturals, for example, 72998863 + ... + 73004915.

It is an arithmetic number, because the mean of its divisors is an integer number (26620007076).

Almost surely, 2441880434117 is an apocalyptic number.

It is an amenable number.

441880434117 is a deficient number, since it is larger than the sum of its proper divisors (196999735707).

441880434117 is a wasteful number, since it uses less digits than its factorization.

441880434117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 441880434117 in words is "four hundred forty-one billion, eight hundred eighty million, four hundred thirty-four thousand, one hundred seventeen".

Divisors: 1 3 9 1747 4643 5241 6053 13929 15723 18159 41787 54477 8111321 10574591 24333963 28104079 31723773 73001889 84312237 95171319 252936711 49097826013 147293478039 441880434117