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150142512 = 24313298297
BaseRepresentation
bin10001111001011…
…11111000110000
3101110112000210210
420330233320300
5301414030022
622522024120
73502122162
oct1074577060
9343460723
10150142512
117782a323
1242348040
132514ba30
1415d24932
15d2aba0c
hex8f2fe30

150142512 has 80 divisors (see below), whose sum is σ = 432159840. Its totient is φ = 44599296.

The previous prime is 150142469. The next prime is 150142513. The reversal of 150142512 is 215241051.

It is not an unprimeable number, because it can be changed into a prime (150142513) 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, 13948 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (5401998).

Almost surely, 2150142512 is an apocalyptic number.

150142512 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 150142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216079920).

150142512 is an abundant number, since it is smaller than the sum of its proper divisors (282017328).

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

150142512 is a wasteful number, since it uses less digits than its factorization.

150142512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 150142512 is about 12253.2653607110. The cubic root of 150142512 is about 531.4974997722.

Adding to 150142512 its reverse (215241051), we get a palindrome (365383563).

The spelling of 150142512 in words is "one hundred fifty million, one hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 8297 9048 16594 18096 24891 33188 49782 66376 99564 107861 132752 199128 215722 240613 323583 398256 431444 481226 647166 721839 862888 962452 1294332 1443678 1725776 1924904 2588664 2887356 3127969 3849808 5177328 5774712 6255938 9383907 11549424 12511876 18767814 25023752 37535628 50047504 75071256 150142512