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14131958800 = 245235329897
BaseRepresentation
bin11010010100101010…
…01001010000010000
31100110212202220000111
431022111021100100
5212420240140200
610254144531104
71010126445031
oct151225112020
940425686014
1014131958800
115aa21388a3
1228a4920a94
131442a620cb
14980c26a88
1557a9ec0ba
hex34a549410

14131958800 has 30 divisors (see below), whose sum is σ = 33952031978. Its totient is φ = 5652783360.

The previous prime is 14131958791. The next prime is 14131958803. The reversal of 14131958800 is 885913141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41319184 + 14090639616 = 6428^2 + 118704^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14131958803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17664549 + ... + 17665348.

Almost surely, 214131958800 is an apocalyptic number.

14131958800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131958800 is an abundant number, since it is smaller than the sum of its proper divisors (19820073178).

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

14131958800 is a wasteful number, since it uses less digits than its factorization.

14131958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35329915 (or 35329904 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 14131958800 in words is "fourteen billion, one hundred thirty-one million, nine hundred fifty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35329897 70659794 141319588 176649485 282639176 353298970 565278352 706597940 883247425 1413195880 1766494850 2826391760 3532989700 7065979400 14131958800