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1344637656401 = 13313506995143
BaseRepresentation
bin10011100100010010101…
…001100101110101010001
311202112202002222100022112
4103210102221211311101
5134012304220001101
62505415031315105
7166101242332334
oct23442251456521
94675662870275
101344637656401
114792919a2116
1219872451ba95
1399a4cc1cb90
144911ba5661b
1524e9cb3c6bb
hex13912a65d51

1344637656401 has 16 divisors (see below), whose sum is σ = 1494841635840. Its totient is φ = 1201118276160.

The previous prime is 1344637656391. The next prime is 1344637656403. The reversal of 1344637656401 is 1046567364431.

It is a cyclic number.

It is not a de Polignac number, because 1344637656401 - 210 = 1344637655377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1344637656401.

It is not an unprimeable number, because it can be changed into a prime (1344637656403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14085236 + ... + 14180378.

It is an arithmetic number, because the mean of its divisors is an integer number (93427602240).

Almost surely, 21344637656401 is an apocalyptic number.

It is an amenable number.

1344637656401 is a deficient number, since it is larger than the sum of its proper divisors (150203979439).

1344637656401 is a wasteful number, since it uses less digits than its factorization.

1344637656401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130256.

The product of its (nonzero) digits is 4354560, while the sum is 50.

The spelling of 1344637656401 in words is "one trillion, three hundred forty-four billion, six hundred thirty-seven million, six hundred fifty-six thousand, four hundred one".

Divisors: 1 13 31 403 35069 95143 455897 1087139 1236859 2949433 14132807 38342629 3336569867 43375408271 103433665877 1344637656401