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144935112 = 23374320063
BaseRepresentation
bin10001010001110…
…00100011001000
3101002201110121010
420220320203020
5244100410422
622214243520
73406633230
oct1050704310
9332643533
10144935112
11748a2993
12406565a0
132404772a
141536acc0
15cacdb0c
hex8a388c8

144935112 has 64 divisors (see below), whose sum is σ = 423751680. Its totient is φ = 40444992.

The previous prime is 144935057. The next prime is 144935113. The reversal of 144935112 is 211539441.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144935112.

It is not an unprimeable number, because it can be changed into a prime (144935113) 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, 2808 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (6621120).

Almost surely, 2144935112 is an apocalyptic number.

144935112 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 144935112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211875840).

144935112 is an abundant number, since it is smaller than the sum of its proper divisors (278816568).

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

144935112 is a wasteful number, since it uses less digits than its factorization.

144935112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20122 (or 20118 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 144935112 is about 12038.8999497462. The cubic root of 144935112 is about 525.2804089336.

The spelling of 144935112 in words is "one hundred forty-four million, nine hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 20063 40126 60189 80252 120378 140441 160504 240756 280882 421323 481512 561764 842646 862709 1123528 1685292 1725418 2588127 3370584 3450836 5176254 6038963 6901672 10352508 12077926 18116889 20705016 24155852 36233778 48311704 72467556 144935112