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141664014 = 232291012687
BaseRepresentation
bin10000111000110…
…01111100001110
3100212120021111100
420130121330032
5242231222024
622020203530
73340060422
oct1034317416
9325507440
10141664014
1172a692a8
123b5395a6
132347087b
1414b58b82
15c6847c9
hex8719f0e

141664014 has 48 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 45124800.

The previous prime is 141663997. The next prime is 141664027. The reversal of 141664014 is 410466141.

141664014 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 640 + 14 = 666.

141664014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51379 + ... + 54065.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2141664014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141664014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

141664014 is an abundant number, since it is smaller than the sum of its proper divisors (179121906).

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

141664014 is a wasteful number, since it uses less digits than its factorization.

141664014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141664014 is about 11902.2692794273. The cubic root of 141664014 is about 521.2985469681.

The spelling of 141664014 in words is "one hundred forty-one million, six hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2687 2929 5374 5858 8061 8787 16122 17574 24183 26361 48366 52722 77923 155846 233769 271387 467538 542774 701307 814161 1402614 1628322 2442483 4884966 7870223 15740446 23610669 47221338 70832007 141664014