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141468392 = 23131379929
BaseRepresentation
bin10000110111010…
…10001011101000
3100212012100011002
420123222023220
5242203442032
622012054132
73335314202
oct1033521350
9325170132
10141468392
117294532a
123b464348
1323402810
1414b07772
15c646862
hex86ea2e8

141468392 has 32 divisors (see below), whose sum is σ = 287771400. Its totient is φ = 64809984.

The previous prime is 141468391. The next prime is 141468419. The reversal of 141468392 is 293864141.

It can be written as a sum of positive squares in 4 ways, for example, as 82700836 + 58767556 = 9094^2 + 7666^2 .

It is not an unprimeable number, because it can be changed into a prime (141468391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9284 + ... + 19212.

Almost surely, 2141468392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141468392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143885700).

141468392 is an abundant number, since it is smaller than the sum of its proper divisors (146303008).

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

141468392 is a wasteful number, since it uses less digits than its factorization.

141468392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10081 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 141468392 is about 11894.0485958314. The cubic root of 141468392 is about 521.0584849667.

The spelling of 141468392 in words is "one hundred forty-one million, four hundred sixty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 9929 14248 19858 39716 79432 129077 258154 516308 1032616 1360273 2720546 5441092 10882184 17683549 35367098 70734196 141468392