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141345696 = 2534135911
BaseRepresentation
bin10000110110011…
…00001110100000
3100211222002211210
420123030032200
5242141030241
622005310120
73334263402
oct1033141640
9324862753
10141345696
1172871128
123b405340
132338ba0b
1414ab4b72
15c620316
hex86cc3a0

141345696 has 48 divisors (see below), whose sum is σ = 380092608. Its totient is φ = 45964800.

The previous prime is 141345653. The next prime is 141345697. The reversal of 141345696 is 696543141.

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

It is not an unprimeable number, because it can be changed into a prime (141345697) by changing a digit.

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, 14020 + ... + 21891.

It is an arithmetic number, because the mean of its divisors is an integer number (7918596).

Almost surely, 2141345696 is an apocalyptic number.

141345696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141345696 is an abundant number, since it is smaller than the sum of its proper divisors (238746912).

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

141345696 is a wasteful number, since it uses less digits than its factorization.

141345696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35965 (or 35957 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 141345696 is about 11888.8896033229. The cubic root of 141345696 is about 520.9078028188.

The spelling of 141345696 in words is "one hundred forty-one million, three hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 35911 71822 107733 143644 215466 287288 430932 574576 861864 1149152 1472351 1723728 2944702 3447456 4417053 5889404 8834106 11778808 17668212 23557616 35336424 47115232 70672848 141345696