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141582012 = 223111382507
BaseRepresentation
bin10000111000001…
…01111010111100
3100212102010000020
420130011322330
5242221111022
622014332140
73336266355
oct1034057274
9325363006
10141582012
1172a12730
123b4ba050
1323442450
1414b36d2c
15c66a35c
hex8705ebc

141582012 has 48 divisors (see below), whose sum is σ = 388117632. Its totient is φ = 39602880.

The previous prime is 141582011. The next prime is 141582041. The reversal of 141582012 is 210285141.

141582012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1415820122 = 40090932243936288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141582011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39538 + ... + 42969.

It is an arithmetic number, because the mean of its divisors is an integer number (8085784).

Almost surely, 2141582012 is an apocalyptic number.

141582012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141582012 is an abundant number, since it is smaller than the sum of its proper divisors (246535620).

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

141582012 is a wasteful number, since it uses less digits than its factorization.

141582012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82538 (or 82536 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 141582012 is about 11898.8239755028. The cubic root of 141582012 is about 521.1979432627.

The spelling of 141582012 in words is "one hundred forty-one million, five hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 82507 165014 247521 330028 495042 907577 990084 1072591 1815154 2145182 2722731 3217773 3630308 4290364 5445462 6435546 10890924 11798501 12871092 23597002 35395503 47194004 70791006 141582012