Search a number
-
+
11321436114756 = 2232314484336521
BaseRepresentation
bin1010010010111111101000…
…1011011000111101000100
31111002022121100102011101200
42210233322023120331010
52440442300121133011
640024555043022500
72245642512112245
oct244577213307504
944068540364350
1011321436114756
1136754375a0529
12132a20606aa30
136417b7312321
142b1d635d2ccc
1514976ac0e856
hexa4bfa2d8f44

11321436114756 has 18 divisors (see below), whose sum is σ = 28618074623502. Its totient is φ = 3773812038240.

The previous prime is 11321436114733. The next prime is 11321436114757. The reversal of 11321436114756 is 65741163412311.

11321436114756 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 4 + 3 + 611 + 4 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6151342436100 + 5170093678656 = 2480190^2 + 2273784^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (11321436114757) 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 5 ways as a sum of consecutive naturals, for example, 157242168225 + ... + 157242168296.

It is an arithmetic number, because the mean of its divisors is an integer number (1589893034639).

Almost surely, 211321436114756 is an apocalyptic number.

It is an amenable number.

11321436114756 is an abundant number, since it is smaller than the sum of its proper divisors (17296638508746).

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

11321436114756 is a wasteful number, since it uses less digits than its factorization.

11321436114756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314484336531 (or 314484336526 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 11321436114756 in words is "eleven trillion, three hundred twenty-one billion, four hundred thirty-six million, one hundred fourteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 314484336521 628968673042 943453009563 1257937346084 1886906019126 2830359028689 3773812038252 5660718057378 11321436114756