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2414379084351 = 31373848043233
BaseRepresentation
bin100011001000100100001…
…101010010101000111111
322112210221020012101111120
4203020210031102220333
5304024122021144401
65045052254522023
7336301364414553
oct43104415225077
98483836171446
102414379084351
11850a29061073
1232bb0a806313
131468a0baba40
1484bdc607863
1542c0be3a836
hex23224352a3f

2414379084351 has 16 divisors (see below), whose sum is σ = 3514291161696. Its totient is φ = 1465418704896.

The previous prime is 2414379084349. The next prime is 2414379084367. The reversal of 2414379084351 is 1534809734142.

It is a happy number.

It is not a de Polignac number, because 2414379084351 - 21 = 2414379084349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2414379084294 and 2414379084303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414379084371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424018770 + ... + 424024463.

It is an arithmetic number, because the mean of its divisors is an integer number (219643197606).

Almost surely, 22414379084351 is an apocalyptic number.

2414379084351 is a deficient number, since it is larger than the sum of its proper divisors (1099912077345).

2414379084351 is a wasteful number, since it uses less digits than its factorization.

2414379084351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848043322.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2414379084351 in words is "two trillion, four hundred fourteen billion, three hundred seventy-nine million, eighty-four thousand, three hundred fifty-one".

Divisors: 1 3 13 39 73 219 949 2847 848043233 2544129699 11024562029 33073686087 61907156009 185721468027 804793028117 2414379084351