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141900561 = 32111817919
BaseRepresentation
bin10000111010100…
…11101100010001
3100220000021222100
420131103230101
5242311304221
622025231013
73342064155
oct1035235421
9326007870
10141900561
117310aaa0
123b632469
132352443a
1414bbb065
15c6ce926
hex8753b11

141900561 has 24 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 85514400.

The previous prime is 141900533. The next prime is 141900571. The reversal of 141900561 is 165009141.

141900561 is a `hidden beast` number, since 14 + 1 + 90 + 0 + 561 = 666.

It is not a de Polignac number, because 141900561 - 27 = 141900433 is a prime.

It is a super-2 number, since 2×1419005612 = 40271538424229442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141900571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13960 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2141900561 is an apocalyptic number.

141900561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141900561 is a deficient number, since it is larger than the sum of its proper divisors (82964079).

141900561 is a wasteful number, since it uses less digits than its factorization.

141900561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 141900561 is about 11912.2021893519. The cubic root of 141900561 is about 521.5885360141.

The spelling of 141900561 in words is "one hundred forty-one million, nine hundred thousand, five hundred sixty-one".

Divisors: 1 3 9 11 33 99 181 543 1629 1991 5973 7919 17919 23757 71271 87109 261327 783981 1433339 4300017 12900051 15766729 47300187 141900561