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3143152513413 = 3211223647193957
BaseRepresentation
bin101101101111010010011…
…111010011000110000101
3102010111000200222102121100
4231233102133103012011
5402444134020412123
610403535550410313
7443041151354433
oct55572237230605
912114020872540
103143152513413
111002004719900
124291b7500999
1319a523575343
14ac1b50abd53
1556b620d3643
hex2dbd27d3185

3143152513413 has 72 divisors (see below), whose sum is σ = 5215415796864. Its totient is φ = 1819291763520.

The previous prime is 3143152513381. The next prime is 3143152513429.

3143152513413 is a `hidden beast` number, since 3 + 1 + 43 + 152 + 51 + 3 + 413 = 666.

3143152513413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3143152513413 - 25 = 3143152513381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143152513513) 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 71 ways as a sum of consecutive naturals, for example, 16108431 + ... + 16302387.

It is an arithmetic number, because the mean of its divisors is an integer number (72436330512).

Almost surely, 23143152513413 is an apocalyptic number.

3143152513413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3143152513413 is a deficient number, since it is larger than the sum of its proper divisors (2072263283451).

3143152513413 is a wasteful number, since it uses less digits than its factorization.

3143152513413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194655 (or 194641 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 3143152513413 in words is "three trillion, one hundred forty-three billion, one hundred fifty-two million, five hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 647 759 1089 1941 2277 2783 5823 7117 8349 14881 21351 25047 44643 64053 78287 133929 163691 193957 234861 491073 581871 704583 1473219 1745613 1800601 2133527 4461011 5401803 6400581 13383033 16205409 19201743 23468797 40149099 49071121 70406391 125490179 147213363 211219173 376470537 441640089 539782331 1129411611 1380391969 1619346993 2886274117 4141175907 4858040979 8658822351 12423527721 15184311659 25976467053 31749015287 45552934977 95247045861 136658804931 285741137583 349239168157 1047717504471 3143152513413