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2314114114132 = 2210131573181421
BaseRepresentation
bin100001101011001011111…
…100110010001001010100
322012020010120222011110001
4201223023330302021110
5300403301203123012
64531031144341044
7326121622264252
oct41531374621124
98166116864401
102314114114132
118124570a7a17
123145a8174784
1313a2b25179b2
148000a2d15d2
15402de811357
hex21acbf32254

2314114114132 has 24 divisors (see below), whose sum is σ = 4089947814792. Its totient is φ = 1145558448000.

The previous prime is 2314114114073. The next prime is 2314114114171.

2314114114132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 590370942736 + 1723743171396 = 768356^2 + 1312914^2 .

It is a super-2 number, since 2×23141141141322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2314114114132.

It is a congruent number.

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, 12664782 + ... + 12846202.

It is an arithmetic number, because the mean of its divisors is an integer number (170414492283).

Almost surely, 22314114114132 is an apocalyptic number.

It is an amenable number.

2314114114132 is a deficient number, since it is larger than the sum of its proper divisors (1775833700660).

2314114114132 is a wasteful number, since it uses less digits than its factorization.

2314114114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213099 (or 213097 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The spelling of 2314114114132 in words is "two trillion, three hundred fourteen billion, one hundred fourteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 101 202 404 31573 63146 126292 181421 362842 725684 3188873 6377746 12755492 18323521 36647042 73294084 5728005233 11456010466 22912020932 578528528533 1157057057066 2314114114132