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141290816 = 268212689
BaseRepresentation
bin10000110101111…
…10110101000000
3100211212022120012
420122332311000
5242132301231
622004204052
73333644402
oct1032766500
9324768505
10141290816
1172833977
123b399628
132336ca44
1414a9cb72
15c60de2b
hex86bed40

141290816 has 28 divisors (see below), whose sum is σ = 280819860. Its totient is φ = 70533120.

The previous prime is 141290803. The next prime is 141290837. The reversal of 141290816 is 618092141.

It can be written as a sum of positive squares in 2 ways, for example, as 18524416 + 122766400 = 4304^2 + 11080^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 51200 + ... + 53888.

Almost surely, 2141290816 is an apocalyptic number.

141290816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141290816 is a deficient number, since it is larger than the sum of its proper divisors (139529044).

141290816 is an equidigital number, since it uses as much as digits as its factorization.

141290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 141290816 is about 11886.5813420007. The cubic root of 141290816 is about 520.8403768278.

The spelling of 141290816 in words is "one hundred forty-one million, two hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 821 1642 2689 3284 5378 6568 10756 13136 21512 26272 43024 52544 86048 172096 2207669 4415338 8830676 17661352 35322704 70645408 141290816