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141696656 = 2441613541
BaseRepresentation
bin10000111001000…
…01111010010000
3100212121221021022
420130201322100
5242233243111
622021015012
73340254533
oct1034417220
9325557238
10141696656
1172a90882
123b554468
132348269a
1414b66a1a
15c68e2db
hex8721e90

141696656 has 40 divisors (see below), whose sum is σ = 285924408. Its totient is φ = 67968000.

The previous prime is 141696641. The next prime is 141696677. The reversal of 141696656 is 656696141.

It can be written as a sum of positive squares in 4 ways, for example, as 7507600 + 134189056 = 2740^2 + 11584^2 .

Its product of digits (233280) is a multiple of the sum of its prime divisors (3645).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38246 + ... + 41786.

Almost surely, 2141696656 is an apocalyptic number.

141696656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141696656 is an abundant number, since it is smaller than the sum of its proper divisors (144227752).

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

141696656 is a wasteful number, since it uses less digits than its factorization.

141696656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 141696656 is about 11903.6404515593. The cubic root of 141696656 is about 521.3385828246.

The spelling of 141696656 in words is "one hundred forty-one million, six hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 41 61 82 122 164 244 328 488 656 976 2501 3541 5002 7082 10004 14164 20008 28328 40016 56656 145181 216001 290362 432002 580724 864004 1161448 1728008 2322896 3456016 8856041 17712082 35424164 70848328 141696656