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144040111013112 = 233146531930121221
BaseRepresentation
bin100000110000000011110011…
…101001100111110011111000
3200220000002200222212211101120
4200300003303221213303320
5122334423121404404422
61230203040303145240
742224361141214326
oct4060036351476370
9626002628784346
10144040111013112
1141994082604726
12141a3b318a5220
13624ac02589c02
14277d815854d16
15119bc31aab45c
hex8300f3a67cf8

144040111013112 has 64 divisors (see below), whose sum is σ = 360160482166560. Its totient is φ = 48005343936000.

The previous prime is 144040111013077. The next prime is 144040111013143. The reversal of 144040111013112 is 211310111040441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6787610662 + ... + 6787631882.

Almost surely, 2144040111013112 is an apocalyptic number.

144040111013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144040111013112 is an abundant number, since it is smaller than the sum of its proper divisors (216120371153448).

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

144040111013112 is a wasteful number, since it uses less digits than its factorization.

144040111013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55184 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 144040111013112 its reverse (211310111040441), we get a palindrome (355350222053553).

The spelling of 144040111013112 in words is "one hundred forty-four trillion, forty billion, one hundred eleven million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 14653 19301 21221 29306 38602 42442 43959 57903 58612 63663 77204 84884 87918 115806 117224 127326 154408 169768 175836 231612 254652 351672 463224 509304 282817553 310951313 409586521 565635106 621902626 819173042 848452659 932853939 1131270212 1228759563 1243805252 1638346084 1696905318 1865707878 2262540424 2457519126 2487610504 3276692168 3393810636 3731415756 4915038252 6787621272 7462831512 9830076504 6001671292213 12003342584426 18005013876639 24006685168852 36010027753278 48013370337704 72020055506556 144040111013112