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3140434340413 = 175318011935313
BaseRepresentation
bin101101101100110000011…
…110010010101000111101
3102010020000021020221020021
4231230300132102220331
5402423102142343123
610402410130452141
7442613614312006
oct55546036225075
912106007227207
103140434340413
11100093a350237
12428779134051
1319a1ac397c56
14abdd80a81ad
1556a5365dc5d
hex2db30792a3d

3140434340413 has 16 divisors (see below), whose sum is σ = 3389787624816. Its totient is φ = 2898323251200.

The previous prime is 3140434340387. The next prime is 3140434340471.

3140434340413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 36259014724 + 3104175325689 = 190418^2 + 1761867^2 .

It is a cyclic number.

It is not a de Polignac number, because 3140434340413 - 29 = 3140434339901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140434340513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655045 + ... + 2590357.

It is an arithmetic number, because the mean of its divisors is an integer number (211861726551).

Almost surely, 23140434340413 is an apocalyptic number.

It is an amenable number.

3140434340413 is a deficient number, since it is larger than the sum of its proper divisors (249353284403).

3140434340413 is a wasteful number, since it uses less digits than its factorization.

3140434340413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937184.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 3140434340413 in words is "three trillion, one hundred forty billion, four hundred thirty-four million, three hundred forty thousand, four hundred thirteen".

Divisors: 1 17 53 901 1801 30617 95453 1622701 1935313 32900321 102571589 1743717013 3485498713 59253478121 184731431789 3140434340413