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2400312130042 = 25334729652033
BaseRepresentation
bin100010111011011101110…
…000000111100111111010
322111110121212202001212211
4202323131300013213322
5303311314401130132
65034404351125334
7335262654316141
oct42733560074772
98443555661784
102400312130042
11845a6a6920a2
1232924381384a
1314546b759738
14842662a2758
1542686ece147
hex22eddc079fa

2400312130042 has 16 divisors (see below), whose sum is σ = 3668512812840. Its totient is φ = 1177475899392.

The previous prime is 2400312130031. The next prime is 2400312130063.

2400312130042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2255189989441 + 145122140601 = 1501729^2 + 380949^2 .

It is a super-2 number, since 2×24003121300422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400312129995 and 2400312130022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3355258 + ... + 4007290.

Almost surely, 22400312130042 is an apocalyptic number.

2400312130042 is a deficient number, since it is larger than the sum of its proper divisors (1268200682798).

2400312130042 is a wasteful number, since it uses less digits than its factorization.

2400312130042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686817.

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 2400312130042 in words is "two trillion, four hundred billion, three hundred twelve million, one hundred thirty thousand, forty-two".

Divisors: 1 2 53 106 34729 69458 652033 1304066 1840637 3681274 34557749 69115498 22644454057 45288908114 1200156065021 2400312130042