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2114914131342 = 23253131139211577
BaseRepresentation
bin11110110001101010101…
…101001001110110001110
321111011222000001120020200
4132301222231021312032
5234122321004200332
64255324513354330
7305540354335035
oct36615255116616
97434860046220
102114914131342
11745a25989571
122a1a745689a6
13124587b864ac
147451058171c
153a03171917c
hex1ec6ab49d8e

2114914131342 has 192 divisors, whose sum is σ = 4768963879680. Its totient is φ = 677046988800.

The previous prime is 2114914131313. The next prime is 2114914131371. The reversal of 2114914131342 is 2431314194112.

2114914131342 is a `hidden beast` number, since 2 + 1 + 1 + 491 + 4 + 131 + 34 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2114914131313) and next prime (2114914131371).

It is a junction number, because it is equal to n+sod(n) for n = 2114914131297 and 2114914131306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3665362158 + ... + 3665362734.

It is an arithmetic number, because the mean of its divisors is an integer number (24838353540).

Almost surely, 22114914131342 is an apocalyptic number.

2114914131342 is an abundant number, since it is smaller than the sum of its proper divisors (2654049748338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114914131342 is a wasteful number, since it uses less digits than its factorization.

2114914131342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 2114914131342 in words is "two trillion, one hundred fourteen billion, nine hundred fourteen million, one hundred thirty-one thousand, three hundred forty-two".