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13444401511125 = 32531314922727179
BaseRepresentation
bin1100001110100100010011…
…0001101011101011010101
31202121021100110100100221100
43003221010301223223111
53230233113241324000
644332134531140313
72555216542204224
oct303510461535325
952537313310840
1013444401511125
114313814181632
121611746a44699
13766a5621aa60
143469d9184cbb
15184abe19da00
hexc3a44c6bad5

13444401511125 has 192 divisors, whose sum is σ = 26391953952000. Its totient is φ = 6545158156800.

The previous prime is 13444401511109. The next prime is 13444401511157. The reversal of 13444401511125 is 52111510444431.

13444401511125 is a `hidden beast` number, since 1 + 3 + 44 + 440 + 1 + 51 + 1 + 125 = 666.

13444401511125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13444401511125 - 24 = 13444401511109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13444401511125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 494647786 + ... + 494674964.

It is an arithmetic number, because the mean of its divisors is an integer number (137458093500).

Almost surely, 213444401511125 is an apocalyptic number.

13444401511125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13444401511125 is a deficient number, since it is larger than the sum of its proper divisors (12947552440875).

13444401511125 is a wasteful number, since it uses less digits than its factorization.

13444401511125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27589 (or 27576 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 13444401511125 its reverse (52111510444431), we get a palindrome (65555911955556).

The spelling of 13444401511125 in words is "thirteen trillion, four hundred forty-four billion, four hundred one million, five hundred eleven thousand, one hundred twenty-five".