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14374439172 = 2234371199069
BaseRepresentation
bin11010110001100100…
…01000100100000100
31101002210001011120000
431120302020210010
5213414324023142
610334210041300
71016132500632
oct153062104404
941083034500
1014374439172
116106aa59a5
122951b79230
131481070c12
149a5106352
15591e4814c
hex358c88904

14374439172 has 60 divisors (see below), whose sum is σ = 38593267020. Its totient is φ = 4661976384.

The previous prime is 14374439153. The next prime is 14374439207. The reversal of 14374439172 is 27193447341.

14374439172 is a `hidden beast` number, since 1 + 4 + 37 + 443 + 9 + 172 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8305405956 + 6069033216 = 91134^2 + 77904^2 .

It is a super-3 number, since 3×143744391723 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 587547 + ... + 611522.

It is an arithmetic number, because the mean of its divisors is an integer number (643221117).

Almost surely, 214374439172 is an apocalyptic number.

14374439172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14374439172 is an abundant number, since it is smaller than the sum of its proper divisors (24218827848).

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

14374439172 is a wasteful number, since it uses less digits than its factorization.

14374439172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199122 (or 1199111 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 14374439172 in words is "fourteen billion, three hundred seventy-four million, four hundred thirty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 1199069 2398138 3597207 4796276 7194414 10791621 14388828 21583242 32374863 43166484 44365553 64749726 88731106 97124589 129499452 133096659 177462212 194249178 266193318 388498356 399289977 532386636 798579954 1197869931 1597159908 2395739862 3593609793 4791479724 7187219586 14374439172