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13144031131413 = 3713431119689167
BaseRepresentation
bin1011111101000101010101…
…0011100111011100010101
31201112120001010111002202010
42333101111103213130111
53210322433432201123
643542141243334433
72524424226124410
oct277212523473425
951476033432663
1013144031131413
114208396a005a6
121583499521419
1374462774ba70
14336262b8cb77
1517bd8e22c993
hexbf4554e7715

13144031131413 has 32 divisors (see below), whose sum is σ = 22071312879616. Its totient is φ = 6771880075968.

The previous prime is 13144031131391. The next prime is 13144031131481. The reversal of 13144031131413 is 31413113044131.

It is not a de Polignac number, because 13144031131413 - 218 = 13144030869269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144031131813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559832845 + ... + 559856322.

It is an arithmetic number, because the mean of its divisors is an integer number (689728527488).

Almost surely, 213144031131413 is an apocalyptic number.

13144031131413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13144031131413 is a deficient number, since it is larger than the sum of its proper divisors (8927281748203).

13144031131413 is a wasteful number, since it uses less digits than its factorization.

13144031131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119689233.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 13144031131413 its reverse (31413113044131), we get a palindrome (44557144175544).

The spelling of 13144031131413 in words is "thirteen trillion, one hundred forty-four billion, thirty-one million, one hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 903 1677 3913 11739 1119689167 3359067501 7837824169 14555959171 23513472507 43667877513 48146634181 101891714197 144439902543 305675142591 337026439267 625906244353 1011079317801 1877718733059 4381343710471 13144031131413