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141074112 = 2634117921
BaseRepresentation
bin10000110100010…
…01111011000000
3100211110022022010
420122021323000
5242103332422
621555412520
73332052534
oct1032117300
9324408263
10141074112
11726a6083
123b2b4140
13232c520a
1414a43bc4
15c5b9b0c
hex8689ec0

141074112 has 56 divisors (see below), whose sum is σ = 382383792. Its totient is φ = 45875200.

The previous prime is 141074093. The next prime is 141074113. The reversal of 141074112 is 211470141.

It is not an unprimeable number, because it can be changed into a prime (141074113) 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, 1089 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (6828282).

Almost surely, 2141074112 is an apocalyptic number.

141074112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191191896).

141074112 is an abundant number, since it is smaller than the sum of its proper divisors (241309680).

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

141074112 is a wasteful number, since it uses less digits than its factorization.

141074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 141074112 is about 11877.4623552340. The cubic root of 141074112 is about 520.5739619041.

The spelling of 141074112 in words is "one hundred forty-one million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 17921 35842 53763 71684 107526 143368 215052 286736 430104 573472 734761 860208 1146944 1469522 1720416 2204283 2939044 3440832 4408566 5878088 8817132 11756176 17634264 23512352 35268528 47024704 70537056 141074112