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241416144735656 = 231119144387646373
BaseRepresentation
bin110110111001000100010011…
…100011001100110110101000
31011122210011021012201102011012
4312321010103203030312220
5223120330231023020111
62213241013522123052
7101564512056124502
oct6671042343146650
91148704235642135
10241416144735656
116aa17014aa7550
12230b00964b0488
13a4925a21c1417
144388864994d72
151cd9bc44a148b
hexdb91138ccda8

241416144735656 has 32 divisors (see below), whose sum is σ = 519795526946400. Its totient is φ = 103959105387840.

The previous prime is 241416144735617. The next prime is 241416144735659. The reversal of 241416144735656 is 656537441614142.

It is a junction number, because it is equal to n+sod(n) for n = 241416144735595 and 241416144735604.

It is not an unprimeable number, because it can be changed into a prime (241416144735659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72193821515 + ... + 72193824858.

It is an arithmetic number, because the mean of its divisors is an integer number (16243610217075).

Almost surely, 2241416144735656 is an apocalyptic number.

It is an amenable number.

241416144735656 is an abundant number, since it is smaller than the sum of its proper divisors (278379382210744).

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

241416144735656 is a wasteful number, since it uses less digits than its factorization.

241416144735656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144387646409 (or 144387646405 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 59.

The spelling of 241416144735656 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-four million, seven hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 144387646373 288775292746 577550585492 1155101170984 1588264110103 2743365281087 3176528220206 5486730562174 6353056440412 10973461124348 12706112880824 21946922248696 30177018091957 60354036183914 120708072367828 241416144735656