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144941472 = 25321338713
BaseRepresentation
bin10001010001110…
…10000110100000
3101002201210022200
420220322012200
5244101111342
622214333200
73406660614
oct1050720640
9332653280
10144941472
11748a7745
124065a200
132404a5b0
141536d344
15cad094c
hex8a3a1a0

144941472 has 72 divisors (see below), whose sum is σ = 443894724. Its totient is φ = 44596224.

The previous prime is 144941431. The next prime is 144941477. The reversal of 144941472 is 274149441.

144941472 is a `hidden beast` number, since 144 + 9 + 41 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144865296 + 76176 = 12036^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144941477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15613 + ... + 23100.

Almost surely, 2144941472 is an apocalyptic number.

144941472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144941472 is an abundant number, since it is smaller than the sum of its proper divisors (298953252).

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

144941472 is a wasteful number, since it uses less digits than its factorization.

144941472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38742 (or 38731 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 144941472 is about 12039.1640905837. The cubic root of 144941472 is about 525.2880922215.

The spelling of 144941472 in words is "one hundred forty-four million, nine hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 38713 77426 116139 154852 232278 309704 348417 464556 503269 619408 696834 929112 1006538 1238816 1393668 1509807 1858224 2013076 2787336 3019614 3716448 4026152 4529421 5574672 6039228 8052304 9058842 11149344 12078456 16104608 18117684 24156912 36235368 48313824 72470736 144941472