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4133134313314 = 2171011203591821
BaseRepresentation
bin111100001001010010000…
…000001010011101100010
3112122010100020101120010021
4330021102000022131202
51020204124341011224
612442422524224054
7604415631000136
oct74112200123542
915563306346107
104133134313314
111353941629786
1256904239b02a
1323c9a3150616
1410408abb53c6
15727a40941e4
hex3c25200a762

4133134313314 has 16 divisors (see below), whose sum is σ = 6629383755576. Its totient is φ = 1925746912000.

The previous prime is 4133134313311. The next prime is 4133134313351.

4133134313314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3694602958225 + 438531355089 = 1922135^2 + 662217^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4133134313314.

It is not an unprimeable number, because it can be changed into a prime (4133134313311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601792477 + ... + 601799344.

Almost surely, 24133134313314 is an apocalyptic number.

4133134313314 is a deficient number, since it is larger than the sum of its proper divisors (2496249442262).

4133134313314 is a wasteful number, since it uses less digits than its factorization.

4133134313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203591941.

The product of its digits is 46656, while the sum is 34.

The spelling of 4133134313314 in words is "four trillion, one hundred thirty-three billion, one hundred thirty-four million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 17 34 101 202 1717 3434 1203591821 2407183642 20461060957 40922121914 121562773921 243125547842 2066567156657 4133134313314