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141457680 = 2432571317127
BaseRepresentation
bin10000110111001…
…11100100010000
3100212011210110100
420123213210100
5242203121210
622011532400
73335241030
oct1033474420
9325153410
10141457680
1172938281
123b45a100
13233ca990
1414b038c0
15c6435c0
hex86e7910

141457680 has 480 divisors, whose sum is σ = 623960064. Its totient is φ = 27869184.

The previous prime is 141457669. The next prime is 141457699. The reversal of 141457680 is 86754141.

It is a happy number.

141457680 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 576 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1113777 + ... + 1113903.

Almost surely, 2141457680 is an apocalyptic number.

141457680 is a gapful number since it is divisible by the number (10) 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 141457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032).

141457680 is an abundant number, since it is smaller than the sum of its proper divisors (482502384).

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

141457680 is a wasteful number, since it uses less digits than its factorization.

141457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 141457680 is about 11893.5982780654. The cubic root of 141457680 is about 521.0453331022.

The spelling of 141457680 in words is "one hundred forty-one million, four hundred fifty-seven thousand, six hundred eighty".