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144114133303332 = 223312391107690269
BaseRepresentation
bin100000110001001000101111…
…101110010000000000100100
3200220021011202201212210011000
4200301020233232100000210
5122342131221111201312
61230301041401513300
742232621366255533
oct4061105756200044
9626234681783130
10144114133303332
1141a12508224995
12141b634b7a2830
136254b9b12b93a
14278323874431a
15119db15396adc
hex83122fb90024

144114133303332 has 48 divisors (see below), whose sum is σ = 373659391235200. Its totient is φ = 48034167138720.

The previous prime is 144114133303223. The next prime is 144114133303339. The reversal of 144114133303332 is 233303331411441.

144114133303332 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 4 + 13 + 3 + 303 + 332 = 666.

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 (144114133303339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52506907 + ... + 55183362.

Almost surely, 2144114133303332 is an apocalyptic number.

144114133303332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144114133303332 is an abundant number, since it is smaller than the sum of its proper divisors (229545257931868).

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

144114133303332 is a wasteful number, since it uses less digits than its factorization.

144114133303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107702673 (or 107702665 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 144114133303332 its reverse (233303331411441), we get a palindrome (377417464714773).

The spelling of 144114133303332 in words is "one hundred forty-four trillion, one hundred fourteen billion, one hundred thirty-three million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 12391 24782 37173 49564 74346 111519 148692 223038 334557 446076 669114 1338228 107690269 215380538 323070807 430761076 646141614 969212421 1292283228 1938424842 2907637263 3876849684 5815274526 11630549052 1334390123179 2668780246358 4003170369537 5337560492716 8006340739074 12009511108611 16012681478148 24019022217222 36028533325833 48038044434444 72057066651666 144114133303332