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144942072 = 23311549023
BaseRepresentation
bin10001010001110…
…10001111111000
3101002201211010220
420220322033320
5244101121242
622214340040
73406662432
oct1050721770
9332654126
10144942072
11748a8140
124065a620
132404a952
141536d652
15cad0bec
hex8a3a3f8

144942072 has 32 divisors (see below), whose sum is σ = 395297280. Its totient is φ = 43921760.

The previous prime is 144942071. The next prime is 144942079. The reversal of 144942072 is 270249441.

144942072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144942071) 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, 274248 + ... + 274775.

It is an arithmetic number, because the mean of its divisors is an integer number (12353040).

Almost surely, 2144942072 is an apocalyptic number.

144942072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144942072 is an abundant number, since it is smaller than the sum of its proper divisors (250355208).

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

144942072 is a wasteful number, since it uses less digits than its factorization.

144942072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549043 (or 549039 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 144942072 is about 12039.1890092315. The cubic root of 144942072 is about 525.2888170483.

The spelling of 144942072 in words is "one hundred forty-four million, nine hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 549023 1098046 1647069 2196092 3294138 4392184 6039253 6588276 12078506 13176552 18117759 24157012 36235518 48314024 72471036 144942072