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3146152516413 = 3431311487125201
BaseRepresentation
bin101101110010000101010…
…011011001101100111101
3102010202202210000101001120
4231302011103121230331
5403021310021011123
610405153355101153
7443205410102034
oct55620523315475
912122683011046
103146152516413
111003304091525
124298b41417b9
1319a8b0c5b04a
14ac3bb6b571b
1556c8a6782e3
hex2dc854d9b3d

3146152516413 has 32 divisors (see below), whose sum is σ = 4328134981632. Its totient is φ = 2031635424000.

The previous prime is 3146152516399. The next prime is 3146152516477.

3146152516413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3146152516413 - 213 = 3146152508221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146152516313) 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 31 ways as a sum of consecutive naturals, for example, 25066213 + ... + 25191413.

It is an arithmetic number, because the mean of its divisors is an integer number (135254218176).

Almost surely, 23146152516413 is an apocalyptic number.

It is an amenable number.

3146152516413 is a deficient number, since it is larger than the sum of its proper divisors (1181982465219).

3146152516413 is a wasteful number, since it uses less digits than its factorization.

3146152516413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126865.

The product of its digits is 259200, while the sum is 42.

The spelling of 3146152516413 in words is "three trillion, one hundred forty-six billion, one hundred fifty-two million, five hundred sixteen thousand, four hundred thirteen".

Divisors: 1 3 43 129 131 393 1487 4461 5633 16899 63941 125201 191823 194797 375603 584391 5383643 8376271 16150929 16401331 25128813 49203993 186173887 558521661 705257233 2115771699 8005477141 24016431423 24388779197 73166337591 1048717505471 3146152516413