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13121413068444 = 22341149178990193
BaseRepresentation
bin1011111011110001000100…
…1010100011011010011100
31201110101122211121110021020
42332330101022203122130
53204440123221142234
643523521032004140
72522663563556022
oct276742112433234
951411584543236
1013121413068444
1141a983a66a07a
12157b026830650
13742461848655
14335118cc2712
1517b4b8714549
hexbef112a369c

13121413068444 has 48 divisors (see below), whose sum is σ = 31573870221600. Its totient is φ = 4238487746560.

The previous prime is 13121413068443. The next prime is 13121413068481. The reversal of 13121413068444 is 44486031412131.

It is a happy number.

It is a super-2 number, since 2×131214130684442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121413068396 and 13121413068405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121413068443) by changing a digit.

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, 89421789 + ... + 89568404.

It is an arithmetic number, because the mean of its divisors is an integer number (657788962950).

Almost surely, 213121413068444 is an apocalyptic number.

It is an amenable number.

13121413068444 is an abundant number, since it is smaller than the sum of its proper divisors (18452457153156).

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

13121413068444 is a wasteful number, since it uses less digits than its factorization.

13121413068444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178990390 (or 178990388 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 13121413068444 in words is "thirteen trillion, one hundred twenty-one billion, four hundred thirteen million, sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 41 82 123 149 164 246 298 447 492 596 894 1788 6109 12218 18327 24436 36654 73308 178990193 357980386 536970579 715960772 1073941158 2147882316 7338597913 14677195826 22015793739 26669538757 29354391652 44031587478 53339077514 80008616271 88063174956 106678155028 160017232542 320034465084 1093451089037 2186902178074 3280353267111 4373804356148 6560706534222 13121413068444