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6331042401336 = 2332415792114797
BaseRepresentation
bin101110000100000111110…
…0010001000110000111000
3211102020112020012221211100
41130020033202020300320
51312211433323320321
621244235110331400
71222255063332402
oct134101742106070
924366466187740
106331042401336
112020a86427294
12862bb9359b60
1336c0264b8503
1417c5d19a3b72
15aea41a2a326
hex5c20f888c38

6331042401336 has 48 divisors (see below), whose sum is σ = 17146993663800. Its totient is φ = 2110295714112.

The previous prime is 6331042401287. The next prime is 6331042401337.

6331042401336 is a `hidden beast` number, since 6 + 3 + 310 + 4 + 2 + 4 + 0 + 1 + 336 = 666.

6331042401336 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6331042401336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331042401337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1936290 + ... + 4051086.

Almost surely, 26331042401336 is an apocalyptic number.

It is an amenable number.

6331042401336 is an abundant number, since it is smaller than the sum of its proper divisors (10815951262464).

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

6331042401336 is a wasteful number, since it uses less digits than its factorization.

6331042401336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156388 (or 2156381 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 6331042401336 in words is "six trillion, three hundred thirty-one billion, forty-two million, four hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41579 83158 124737 166316 249474 332632 374211 498948 748422 997896 1496844 2114797 2993688 4229594 6344391 8459188 12688782 16918376 19033173 25377564 38066346 50755128 76132692 152265384 87931144463 175862288926 263793433389 351724577852 527586866778 703449155704 791380300167 1055173733556 1582760600334 2110347467112 3165521200668 6331042401336