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141345792 = 2103272313
BaseRepresentation
bin10000110110011…
…00010000000000
3100211222002222100
420123030100000
5242141031132
622005310400
73334263600
oct1033142000
9324862870
10141345792
1172871205
123b405400
132338ba83
1414ab4c00
15c62037c
hex86cc400

141345792 has 198 divisors, whose sum is σ = 476283678. Its totient is φ = 40255488.

The previous prime is 141345761. The next prime is 141345829. The reversal of 141345792 is 297543141.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 65028096 = 8736^2 + 8064^2 .

It is a super-2 number, since 2×1413457922 = 39957265832214528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451428 + ... + 451740.

Almost surely, 2141345792 is an apocalyptic number.

141345792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238141839).

141345792 is an abundant number, since it is smaller than the sum of its proper divisors (334937886).

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

141345792 is a wasteful number, since it uses less digits than its factorization.

141345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 141345792 is about 11888.8936407052. The cubic root of 141345792 is about 520.9079207498.

The spelling of 141345792 in words is "one hundred forty-one million, three hundred forty-five thousand, seven hundred ninety-two".