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3146116413 = 311592396761
BaseRepresentation
bin1011101110000101…
…1110110100111101
322010020222021101010
42323201132310331
522420401211123
61240104105433
7140651356026
oct27341366475
98106867333
103146116413
11137499a910
12739765279
133b1a5385b
1421bb9dc4d
15136307993
hexbb85ed3d

3146116413 has 32 divisors (see below), whose sum is σ = 4673894400. Its totient is φ = 1866300800.

The previous prime is 3146116343. The next prime is 3146116423.

3146116413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3146116413 - 210 = 3146115389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146116423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461953 + ... + 468713.

It is an arithmetic number, because the mean of its divisors is an integer number (146059200).

Almost surely, 23146116413 is an apocalyptic number.

3146116413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3146116413 is a deficient number, since it is larger than the sum of its proper divisors (1527777987).

3146116413 is a wasteful number, since it uses less digits than its factorization.

3146116413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073.

The product of its digits is 5184, while the sum is 30.

The square root of 3146116413 is about 56090.2523884498. The cubic root of 3146116413 is about 1465.2945336902.

It can be divided in two parts, 31461 and 16413, that added together give a palindrome (47874).

The spelling of 3146116413 in words is "three billion, one hundred forty-six million, one hundred sixteen thousand, four hundred thirteen".

Divisors: 1 3 11 33 59 177 239 649 717 1947 2629 6761 7887 14101 20283 42303 74371 155111 223113 398899 465333 1196697 1615879 4387889 4847637 13163667 17774669 53324007 95336861 286010583 1048705471 3146116413