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141064272 = 24324123893
BaseRepresentation
bin10000110100001…
…11100001010000
3100211102210210200
420122013201100
5242103024042
621555255200
73332012046
oct1032074120
9324383720
10141064272
1172699748
123b2aa500
13232c08ab
1414a40396
15c5b6c4c
hex8687850

141064272 has 60 divisors (see below), whose sum is σ = 404429844. Its totient is φ = 45872640.

The previous prime is 141064271. The next prime is 141064277. The reversal of 141064272 is 272460141.

141064272 is a `hidden beast` number, since 1 + 4 + 10 + 642 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 75064896 = 8124^2 + 8664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141064271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6043 + ... + 17850.

Almost surely, 2141064272 is an apocalyptic number.

141064272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141064272 is an abundant number, since it is smaller than the sum of its proper divisors (263365572).

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

141064272 is a wasteful number, since it uses less digits than its factorization.

141064272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23948 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 141064272 is about 11877.0481181142. The cubic root of 141064272 is about 520.5618581788.

The spelling of 141064272 in words is "one hundred forty-one million, sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 23893 47786 71679 95572 143358 191144 215037 286716 382288 430074 573432 860148 979613 1146864 1720296 1959226 2938839 3440592 3918452 5877678 7836904 8816517 11755356 15673808 17633034 23510712 35266068 47021424 70532136 141064272