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150010144 = 2541432659
BaseRepresentation
bin10001111000011…
…11100100100000
3101110021022020021
420330033210200
5301400311034
622515123224
73501031234
oct1074174440
9343238207
10150010144
1177749929
12422a3514
13251036cb
1415ccc5c4
15d2826b4
hex8f0f920

150010144 has 48 divisors (see below), whose sum is σ = 309687840. Its totient is φ = 71447040.

The previous prime is 150010141. The next prime is 150010151. The reversal of 150010144 is 441010051.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (150010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55087 + ... + 57745.

It is an arithmetic number, because the mean of its divisors is an integer number (6451830).

Almost surely, 2150010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843920).

150010144 is an abundant number, since it is smaller than the sum of its proper divisors (159677696).

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

150010144 is a wasteful number, since it uses less digits than its factorization.

150010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 150010144 is about 12247.8628339805. The cubic root of 150010144 is about 531.3412616641.

Adding to 150010144 its reverse (441010051), we get a palindrome (591020195).

The spelling of 150010144 in words is "one hundred fifty million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 1312 1376 1763 2659 3526 5318 7052 10636 14104 21272 28208 42544 56416 85088 109019 114337 218038 228674 436076 457348 872152 914696 1744304 1829392 3488608 3658784 4687817 9375634 18751268 37502536 75005072 150010144