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141913872 = 24321317523
BaseRepresentation
bin10000111010101…
…10111100010000
3100220000222020100
420131112330100
5242312220442
622025412400
73342151032
oct1035267420
9326028210
10141913872
1173119aa1
123b63a100
132352a509
1414bc1c52
15c6d384c
hex8756f10

141913872 has 60 divisors (see below), whose sum is σ = 400246704. Its totient is φ = 46937280.

The previous prime is 141913861. The next prime is 141913873. The reversal of 141913872 is 278319141.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141913873) 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 11 ways as a sum of consecutive naturals, for example, 15103 + ... + 22625.

Almost surely, 2141913872 is an apocalyptic number.

141913872 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 141913872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200123352).

141913872 is an abundant number, since it is smaller than the sum of its proper divisors (258332832).

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

141913872 is a wasteful number, since it uses less digits than its factorization.

141913872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7659 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 141913872 is about 11912.7608890635. The cubic root of 141913872 is about 521.6048447302.

The spelling of 141913872 in words is "one hundred forty-one million, nine hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 7523 9432 15046 18864 22569 30092 45138 60184 67707 90276 120368 135414 180552 270828 361104 541656 985513 1083312 1971026 2956539 3942052 5913078 7884104 8869617 11826156 15768208 17739234 23652312 35478468 47304624 70956936 141913872