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141405264 = 243471113109
BaseRepresentation
bin10000110110110…
…10110001010000
3100212002010120000
420123122301100
5242144432024
622010450000
73334632150
oct1033326120
9325063500
10141405264
1172901960
123b433900
13233acb70
1414acc760
15c632cc9
hex86dac50

141405264 has 400 divisors, whose sum is σ = 554547840. Its totient is φ = 33592320.

The previous prime is 141405227. The next prime is 141405283. The reversal of 141405264 is 462504141.

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 79 ways as a sum of consecutive naturals, for example, 1297242 + ... + 1297350.

Almost surely, 2141405264 is an apocalyptic number.

141405264 is a gapful number since it is divisible by the number (14) 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 141405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277273920).

141405264 is an abundant number, since it is smaller than the sum of its proper divisors (413142576).

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

141405264 is a wasteful number, since it uses less digits than its factorization.

141405264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 141405264 is about 11891.3945355454. The cubic root of 141405264 is about 520.9809687727.

The spelling of 141405264 in words is "one hundred forty-one million, four hundred five thousand, two hundred sixty-four".