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13144302134144 = 27433237159031
BaseRepresentation
bin1011111101000110010101…
…1101011010001110000000
31201112120202000102110121022
42333101211131122032000
53210324012321243034
643542224204045012
72524434026453006
oct277214535321600
951476660373538
1013144302134144
1142085159799a5
121583554233768
1374466b9360cc
1433628ab74a76
1517bda7e0eb2e
hexbf46575a380

13144302134144 has 32 divisors (see below), whose sum is σ = 26246390071440. Its totient is φ = 6556972861440.

The previous prime is 13144302134137. The next prime is 13144302134149. The reversal of 13144302134144 is 44143120344131.

13144302134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×131443021341442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144302134149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118524092 + ... + 118634939.

Almost surely, 213144302134144 is an apocalyptic number.

It is an amenable number.

13144302134144 is a deficient number, since it is larger than the sum of its proper divisors (13102087937296).

13144302134144 is an equidigital number, since it uses as much as digits as its factorization.

13144302134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237159478 (or 237159466 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 13144302134144 its reverse (44143120344131), we get a palindrome (57287422478275).

The spelling of 13144302134144 in words is "thirteen trillion, one hundred forty-four billion, three hundred two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 433 866 1732 3464 6928 13856 27712 55424 237159031 474318062 948636124 1897272248 3794544496 7589088992 15178177984 30356355968 102689860423 205379720846 410759441692 821518883384 1643037766768 3286075533536 6572151067072 13144302134144