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141161364 = 223237105977
BaseRepresentation
bin10000110100111…
…11001110010100
3100211121201222200
420122133032110
5242114130424
622001324500
73332565111
oct1032371624
9324551880
10141161364
1172755693
123b336730
1323325b46
1414a67908
15c5d58c9
hex869f394

141161364 has 36 divisors (see below), whose sum is σ = 366471924. Its totient is φ = 45781632.

The previous prime is 141161347. The next prime is 141161399. The reversal of 141161364 is 463161141.

141161364 is a `hidden beast` number, since 1 + 41 + 1 + 613 + 6 + 4 = 666.

141161364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 39312900 = 10092^2 + 6270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51657 + ... + 54320.

Almost surely, 2141161364 is an apocalyptic number.

It is an amenable number.

141161364 is an abundant number, since it is smaller than the sum of its proper divisors (225310560).

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

141161364 is a wasteful number, since it uses less digits than its factorization.

141161364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106024 (or 106019 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 141161364 is about 11881.1347942863. The cubic root of 141161364 is about 520.6812619084.

The spelling of 141161364 in words is "one hundred forty-one million, one hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 105977 211954 317931 423908 635862 953793 1271724 1907586 3815172 3921149 7842298 11763447 15684596 23526894 35290341 47053788 70580682 141161364