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141071136 = 2537611931
BaseRepresentation
bin10000110100010…
…01001100100000
3100211110011012220
420122021030200
5242103234021
621555351040
73332041053
oct1032111440
9324404186
10141071136
11726a3918
123b2b2480
13232c3a5b
1414a42a9a
15c5b8cc6
hex8689320

141071136 has 48 divisors (see below), whose sum is σ = 370990368. Its totient is φ = 46937600.

The previous prime is 141071131. The next prime is 141071137. The reversal of 141071136 is 631170141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141071131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72091 + ... + 74021.

It is an arithmetic number, because the mean of its divisors is an integer number (7728966).

Almost surely, 2141071136 is an apocalyptic number.

141071136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141071136 is an abundant number, since it is smaller than the sum of its proper divisors (229919232).

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

141071136 is a wasteful number, since it uses less digits than its factorization.

141071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 141071136 is about 11877.3370752875. The cubic root of 141071136 is about 520.5703013246.

The spelling of 141071136 in words is "one hundred forty-one million, seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 761 1522 1931 2283 3044 3862 4566 5793 6088 7724 9132 11586 12176 15448 18264 23172 24352 30896 36528 46344 61792 73056 92688 185376 1469491 2938982 4408473 5877964 8816946 11755928 17633892 23511856 35267784 47023712 70535568 141071136