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141504012 = 2232131372207
BaseRepresentation
bin10000110111100…
…10111000001100
3100212021011000100
420123302320030
5242211112022
622012531100
73335523066
oct1033627014
9325234010
10141504012
117296a071
123b480a90
1323415ab0
1414b16736
15c6521ac
hex86f2e0c

141504012 has 72 divisors (see below), whose sum is σ = 388192896. Its totient is φ = 43202304.

The previous prime is 141503993. The next prime is 141504017. The reversal of 141504012 is 210405141.

It is a super-2 number, since 2×1415040122 = 40046770824192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141504017) 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 23 ways as a sum of consecutive naturals, for example, 63013 + ... + 65219.

It is an arithmetic number, because the mean of its divisors is an integer number (5391568).

Almost surely, 2141504012 is an apocalyptic number.

141504012 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 141504012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194096448).

141504012 is an abundant number, since it is smaller than the sum of its proper divisors (246688884).

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

141504012 is a wasteful number, since it uses less digits than its factorization.

141504012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141504012 is about 11895.5458891133. The cubic root of 141504012 is about 521.1022133347.

Adding to 141504012 its reverse (210405141), we get a palindrome (351909153).

The spelling of 141504012 in words is "one hundred forty-one million, five hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 822 1233 1644 1781 2207 2466 3562 4414 4932 5343 6621 7124 8828 10686 13242 16029 19863 21372 26484 28691 32058 39726 57382 64116 79452 86073 114764 172146 258219 302359 344292 516438 604718 907077 1032876 1209436 1814154 2721231 3628308 3930667 5442462 7861334 10884924 11792001 15722668 23584002 35376003 47168004 70752006 141504012