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144113472 = 263383399
BaseRepresentation
bin10001001011011…
…11111101000000
3101001011201112000
420211233331000
5243343112342
622144504000
73366641616
oct1045577500
9331151460
10144113472
1174391648
124031b000
1323b1a759
14151d56b6
15c9ba44c
hex896ff40

144113472 has 56 divisors (see below), whose sum is σ = 423672000. Its totient is φ = 48037248.

The previous prime is 144113429. The next prime is 144113477. The reversal of 144113472 is 274311441.

144113472 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144113477) 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, 39972 + ... + 43427.

Almost surely, 2144113472 is an apocalyptic number.

144113472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144113472 is an abundant number, since it is smaller than the sum of its proper divisors (279558528).

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

144113472 is an equidigital number, since it uses as much as digits as its factorization.

144113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83420 (or 83404 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 144113472 is about 12004.7270689508. The cubic root of 144113472 is about 524.2859189759.

The spelling of 144113472 in words is "one hundred forty-four million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 83399 166798 250197 333596 500394 667192 750591 1000788 1334384 1501182 2001576 2251773 2668768 3002364 4003152 4503546 5337536 6004728 8006304 9007092 12009456 16012608 18014184 24018912 36028368 48037824 72056736 144113472