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144916452 = 223649697
BaseRepresentation
bin10001010001100…
…11111111100100
3101002200112000000
420220303333210
5244044311302
622214021300
73406524642
oct1050637744
9332615000
10144916452
117488a96a
1240647830
132403c0a5
1415364192
15cac831c
hex8a33fe4

144916452 has 42 divisors (see below), whose sum is σ = 380239398. Its totient is φ = 48304512.

The previous prime is 144916441. The next prime is 144916459. The reversal of 144916452 is 254619441.

144916452 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 1 + 645 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 66487716 = 8856^2 + 8154^2 .

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 (144916459) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21933 + ... + 27764.

It is an arithmetic number, because the mean of its divisors is an integer number (9053319).

Almost surely, 2144916452 is an apocalyptic number.

144916452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144916452 is an abundant number, since it is smaller than the sum of its proper divisors (235322946).

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

144916452 is an equidigital number, since it uses as much as digits as its factorization.

144916452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49719 (or 49702 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 144916452 is about 12038.1249370490. The cubic root of 144916452 is about 525.2578651599.

The spelling of 144916452 in words is "one hundred forty-four million, nine hundred sixteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 49697 99394 149091 198788 298182 447273 596364 894546 1341819 1789092 2683638 4025457 5367276 8050914 12076371 16101828 24152742 36229113 48305484 72458226 144916452