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141870312 = 23333791733
BaseRepresentation
bin10000111010011…
…00010011101000
3100212221202111000
420131030103220
5242304322222
622024435000
73341610033
oct1035142350
9325852430
10141870312
117309a2a1
123b618a60
132351373c
1414bb001a
15c6c59ac
hex874c4e8

141870312 has 64 divisors (see below), whose sum is σ = 395352000. Its totient is φ = 47138112.

The previous prime is 141870301. The next prime is 141870329. The reversal of 141870312 is 213078141.

141870312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80998 + ... + 82730.

It is an arithmetic number, because the mean of its divisors is an integer number (6177375).

Almost surely, 2141870312 is an apocalyptic number.

141870312 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 141870312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197676000).

141870312 is an abundant number, since it is smaller than the sum of its proper divisors (253481688).

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

141870312 is a wasteful number, since it uses less digits than its factorization.

141870312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 141870312 is about 11910.9324572008. The cubic root of 141870312 is about 521.5514709671.

The spelling of 141870312 in words is "one hundred forty-one million, eight hundred seventy thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 379 758 1137 1516 1733 2274 3032 3411 3466 4548 5199 6822 6932 9096 10233 10398 13644 13864 15597 20466 20796 27288 31194 40932 41592 46791 62388 81864 93582 124776 187164 374328 656807 1313614 1970421 2627228 3940842 5254456 5911263 7881684 11822526 15763368 17733789 23645052 35467578 47290104 70935156 141870312