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141419520 = 2103451131
BaseRepresentation
bin10000110110111…
…10010000000000
3100212002212010000
420123132100000
5242200411040
622011040000
73335021544
oct1033362000
9325085100
10141419520
1172911640
123b440000
13233b64b8
1414ad3a24
15c637130
hex86de400

141419520 has 440 divisors, whose sum is σ = 570670848. Its totient is φ = 33177600.

The previous prime is 141419459. The next prime is 141419539. The reversal of 141419520 is 25914141.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561905 + ... + 4561935.

Almost surely, 2141419520 is an apocalyptic number.

141419520 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 141419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285335424).

141419520 is an abundant number, since it is smaller than the sum of its proper divisors (429251328).

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

141419520 is a wasteful number, since it uses less digits than its factorization.

141419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 141419520 is about 11891.9939455080. The cubic root of 141419520 is about 520.9984760302.

The spelling of 141419520 in words is "one hundred forty-one million, four hundred nineteen thousand, five hundred twenty".