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141457032 = 23321979973
BaseRepresentation
bin10000110111001…
…11011010001000
3100212011202120100
420123213122020
5242203111112
622011525400
73335236113
oct1033473210
9325152510
10141457032
1172937842
123b459860
13233ca5b2
1414b0357a
15c6432dc
hex86e7688

141457032 has 48 divisors (see below), whose sum is σ = 385096140. Its totient is φ = 46908288.

The previous prime is 141457013. The next prime is 141457037. The reversal of 141457032 is 230754141.

It can be written as a sum of positive squares in 2 ways, for example, as 139854276 + 1602756 = 11826^2 + 1266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141456987 and 141457005.

It is not an unprimeable number, because it can be changed into a prime (141457037) 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 11 ways as a sum of consecutive naturals, for example, 9198 + ... + 19170.

Almost surely, 2141457032 is an apocalyptic number.

141457032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141457032 is an abundant number, since it is smaller than the sum of its proper divisors (243639108).

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

141457032 is a wasteful number, since it uses less digits than its factorization.

141457032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 141457032 is about 11893.5710364886. The cubic root of 141457032 is about 521.0445374864.

The spelling of 141457032 in words is "one hundred forty-one million, four hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 9973 14184 19946 29919 39892 59838 79784 89757 119676 179514 239352 359028 718056 1964681 3929362 5894043 7858724 11788086 15717448 17682129 23576172 35364258 47152344 70728516 141457032