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14041410444 = 22323112581909
BaseRepresentation
bin11010001001110111…
…01110101110001100
31100020120101120000200
431010323232232030
5212224100113234
610241152053500
71004650006455
oct150473565614
940216346020
1014041410444
115a56012546
12287a534290
13142a07a6b9
14972bb612c
15572ab2d99
hex344eeeb8c

14041410444 has 36 divisors (see below), whose sum is σ = 36638521920. Its totient is φ = 4529486880.

The previous prime is 14041410433. The next prime is 14041410463. The reversal of 14041410444 is 44401414041.

14041410444 is a `hidden beast` number, since 140 + 41 + 41 + 0 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×140414104442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6289839 + ... + 6292070.

It is an arithmetic number, because the mean of its divisors is an integer number (1017736720).

Almost surely, 214041410444 is an apocalyptic number.

It is an amenable number.

14041410444 is an abundant number, since it is smaller than the sum of its proper divisors (22597111476).

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

14041410444 is a wasteful number, since it uses less digits than its factorization.

14041410444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581950 (or 12581945 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14041410444 its reverse (44401414041), we get a palindrome (58442824485).

The spelling of 14041410444 in words is "fourteen billion, forty-one million, four hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 12581909 25163818 37745727 50327636 75491454 113237181 150982908 226474362 390039179 452948724 780078358 1170117537 1560156716 2340235074 3510352611 4680470148 7020705222 14041410444