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14182409376 = 253249244477
BaseRepresentation
bin11010011010101011…
…00110010010100000
31100121101201001012100
431031111212102200
5213021144100001
610303150130400
71011311330202
oct151525462240
940541631170
1014182409376
116018667093
1228b97b0a00
131450347615
149877da772
15580165586
hex34d5664a0

14182409376 has 36 divisors (see below), whose sum is σ = 40331227482. Its totient is φ = 4727469696.

The previous prime is 14182409363. The next prime is 14182409401. The reversal of 14182409376 is 67390428141.

It can be written as a sum of positive squares in only one way, i.e., 8709368976 + 5473040400 = 93324^2 + 73980^2 .

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

It is a super-2 number, since 2×141824093762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24621951 + ... + 24622526.

Almost surely, 214182409376 is an apocalyptic number.

14182409376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14182409376 is an abundant number, since it is smaller than the sum of its proper divisors (26148818106).

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

14182409376 is a wasteful number, since it uses less digits than its factorization.

14182409376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49244493 (or 49244482 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14182409376 in words is "fourteen billion, one hundred eighty-two million, four hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49244477 98488954 147733431 196977908 295466862 393955816 443200293 590933724 787911632 886400586 1181867448 1575823264 1772801172 2363734896 3545602344 4727469792 7091204688 14182409376