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3314044403201 = 72731138199001
BaseRepresentation
bin110000001110011100011…
…100000111111000000001
3102201211010110012220111202
4300032130130013320001
5413244130331400301
611014241224550545
7461301052432400
oct60163434077001
912654113186452
103314044403201
111068529739a74
1245634a922455
131b068921645c
14b658738d637
155b314da766b
hex3039c707e01

3314044403201 has 24 divisors (see below), whose sum is σ = 3942506509704. Its totient is φ = 2776902912000.

The previous prime is 3314044403147. The next prime is 3314044403207. The reversal of 3314044403201 is 1023044404133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 455496759025 + 2858547644176 = 674905^2 + 1690724^2 .

It is a de Polignac number, because none of the positive numbers 2k-3314044403201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3314044403207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3695300 + ... + 4503701.

It is an arithmetic number, because the mean of its divisors is an integer number (164271104571).

Almost surely, 23314044403201 is an apocalyptic number.

It is an amenable number.

3314044403201 is a deficient number, since it is larger than the sum of its proper divisors (628462106503).

3314044403201 is a wasteful number, since it uses less digits than its factorization.

3314044403201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199201 (or 8199194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3314044403201 its reverse (1023044404133), we get a palindrome (4337088807334).

The spelling of 3314044403201 in words is "three trillion, three hundred fourteen billion, forty-four million, four hundred three thousand, two hundred one".

Divisors: 1 7 49 73 113 511 791 3577 5537 8249 57743 404201 8199001 57393007 401751049 598527073 926487113 4189689511 6485409791 29327826577 45397868537 67633559249 473434914743 3314044403201