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141254432 = 251121912
BaseRepresentation
bin10000110101101…
…01111100100000
3100211210110122122
420122311330200
5242130120212
622003323412
73333433334
oct1032657440
9324713578
10141254432
1172809600
123b380568
1323359307
1414a8d7c4
15c603272
hex86b5f20

141254432 has 54 divisors (see below), whose sum is σ = 307283067. Its totient is φ = 63870400.

The previous prime is 141254423. The next prime is 141254461. The reversal of 141254432 is 234452141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 70627216 + 70627216 = 8404^2 + 8404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8404.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 739457 + ... + 739647.

Almost surely, 2141254432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141254432

141254432 is an abundant number, since it is smaller than the sum of its proper divisors (166028635).

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

141254432 is an equidigital number, since it uses as much as digits as its factorization.

141254432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 204 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 141254432 is about 11885.0507781835. The cubic root of 141254432 is about 520.7956655397.

The spelling of 141254432 in words is "one hundred forty-one million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 191 242 352 382 484 764 968 1528 1936 2101 3056 3872 4202 6112 8404 16808 23111 33616 36481 46222 67232 72962 92444 145924 184888 291848 369776 401291 583696 739552 802582 1167392 1605164 3210328 4414201 6420656 8828402 12841312 17656804 35313608 70627216 141254432