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3141336331413 = 327195569471241
BaseRepresentation
bin101101101101100110001…
…111000111010010010101
3102010022100010111211021100
4231231212033013102111
5402431424100101123
610403035431340313
7442645146152250
oct55554617072225
912108303454240
103141336331413
111001262512445
1242898b221699
1319a2c420a937
14ac081bc2097
1556aa7930643
hex2db663c7495

3141336331413 has 48 divisors (see below), whose sum is σ = 5459621315200. Its totient is φ = 1700264079360.

The previous prime is 3141336331277. The next prime is 3141336331417.

3141336331413 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 3 + 633 + 1 + 4 + 13 = 666.

3141336331413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3141336331413 - 210 = 3141336330389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141336331417) 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 47 ways as a sum of consecutive naturals, for example, 6430473 + ... + 6901713.

Almost surely, 23141336331413 is an apocalyptic number.

It is an amenable number.

3141336331413 is a deficient number, since it is larger than the sum of its proper divisors (2318284983787).

3141336331413 is a wasteful number, since it uses less digits than its factorization.

3141336331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476842 (or 476839 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 3141336331413 in words is "three trillion, one hundred forty-one billion, three hundred thirty-six million, three hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 5569 16707 38983 50121 105811 116949 317433 350847 471241 740677 952299 1413723 2222031 3298687 4241169 6666093 8953579 9896061 26860737 29688183 62675053 80582211 188025159 564075477 2624341129 7873023387 18370387903 23619070161 49862481451 55111163709 149587444353 165333491127 349037370157 448762333059 1047112110471 3141336331413