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150330144 = 2533135003
BaseRepresentation
bin10001111010111…
…01101100100000
3101110212120012010
420331131230200
5301441031034
622530032520
73503533206
oct1075355440
9343776163
10150330144
1177948298
1242418740
13251b6263
1415d73076
15d2e73e9
hex8f5db20

150330144 has 48 divisors (see below), whose sum is σ = 395956512. Its totient is φ = 49939968.

The previous prime is 150330143. The next prime is 150330203. The reversal of 150330144 is 441033051.

150330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150330144.

It is not an unprimeable number, because it can be changed into a prime (150330143) 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, 27547 + ... + 32549.

It is an arithmetic number, because the mean of its divisors is an integer number (8249094).

Almost surely, 2150330144 is an apocalyptic number.

It is an amenable number.

150330144 is an abundant number, since it is smaller than the sum of its proper divisors (245626368).

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

150330144 is a wasteful number, since it uses less digits than its factorization.

150330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150330144 is about 12260.9193782522. The cubic root of 150330144 is about 531.7188104547.

Adding to 150330144 its reverse (441033051), we get a palindrome (591363195).

The spelling of 150330144 in words is "one hundred fifty million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 626 939 1252 1878 2504 3756 5003 5008 7512 10006 10016 15009 15024 20012 30018 30048 40024 60036 80048 120072 160096 240144 480288 1565939 3131878 4697817 6263756 9395634 12527512 18791268 25055024 37582536 50110048 75165072 150330144