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141064128 = 2632376619
BaseRepresentation
bin10000110100001…
…11011111000000
3100211102210121100
420122013133000
5242103023003
621555254400
73332011452
oct1032073700
9324383540
10141064128
1172699627
123b2aa400
13232c07ca
1414a402d2
15c5b6ba3
hex86877c0

141064128 has 84 divisors (see below), whose sum is σ = 415325560. Its totient is φ = 45743616.

The previous prime is 141064117. The next prime is 141064153. The reversal of 141064128 is 821460141.

It is a happy number.

141064128 is a `hidden beast` number, since 1 + 4 + 10 + 641 + 2 + 8 = 666.

141064128 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18003 + ... + 24621.

Almost surely, 2141064128 is an apocalyptic number.

141064128 is a gapful number since it is divisible by the number (18) 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 141064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207662780).

141064128 is an abundant number, since it is smaller than the sum of its proper divisors (274261432).

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

141064128 is a wasteful number, since it uses less digits than its factorization.

141064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141064128 is about 11877.0420560003. The cubic root of 141064128 is about 520.5616810469.

The spelling of 141064128 in words is "one hundred forty-one million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 6619 7104 10656 13238 19857 21312 26476 39714 52952 59571 79428 105904 119142 158856 211808 238284 244903 317712 423616 476568 489806 635424 734709 953136 979612 1270848 1469418 1906272 1959224 2204127 2938836 3812544 3918448 4408254 5877672 7836896 8816508 11755344 15673792 17633016 23510688 35266032 47021376 70532064 141064128