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13144322344131 = 3211132770932769
BaseRepresentation
bin1011111101000110011010…
…1010100000010011000011
31201112120210102110020111100
42333101212222200103003
53210324033010003011
643542230205145443
72524434363315156
oct277214652402303
951476712406440
1013144322344131
114208526322a70
12158355ab5b283
13744672b90c94
1433628d715c9d
1517bda9aa2d56
hexbf466aa04c3

13144322344131 has 12 divisors (see below), whose sum is σ = 20712265512120. Its totient is φ = 7966255966080.

The previous prime is 13144322344123. The next prime is 13144322344163.

13144322344131 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 3 + 2 + 234 + 413 + 1 = 666.

13144322344131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13144322344131 - 23 = 13144322344123 is a prime.

It is a super-2 number, since 2×131443223441312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144322344121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66385466286 + ... + 66385466483.

It is an arithmetic number, because the mean of its divisors is an integer number (1726022126010).

Almost surely, 213144322344131 is an apocalyptic number.

13144322344131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13144322344131 is a deficient number, since it is larger than the sum of its proper divisors (7567943167989).

13144322344131 is a wasteful number, since it uses less digits than its factorization.

13144322344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132770932786 (or 132770932783 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1314432 and 2344131, that added together give a palindrome (3658563).

The spelling of 13144322344131 in words is "thirteen trillion, one hundred forty-four billion, three hundred twenty-two million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 132770932769 398312798307 1194938394921 1460480260459 4381440781377 13144322344131