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243314101413342 = 23240129336849911
BaseRepresentation
bin110111010100101011111010…
…100101010110010111011110
31011220111121020002001101121100
4313110223322211112113132
5223342424234430211332
62221252542144413530
7102151602153526251
oct6724537245262736
91156447202041540
10243314101413342
1170588a27075a03
1223357aa03172a6
13a59c562810bab
144412672c8d098
151d1e258b7567c
hexdd4afa9565de

243314101413342 has 24 divisors (see below), whose sum is σ = 527193691773840. Its totient is φ = 81102679130880.

The previous prime is 243314101413337. The next prime is 243314101413359.

243314101413342 is a `hidden beast` number, since 2 + 4 + 3 + 31 + 410 + 141 + 33 + 42 = 666.

243314101413342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243314101413297 and 243314101413306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167702634 + ... + 169147277.

It is an arithmetic number, because the mean of its divisors is an integer number (21966403823910).

Almost surely, 2243314101413342 is an apocalyptic number.

243314101413342 is an abundant number, since it is smaller than the sum of its proper divisors (283879590360498).

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

243314101413342 is a wasteful number, since it uses less digits than its factorization.

243314101413342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336890048 (or 336890045 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 24331410 and 1413342, that added together give a palindrome (25744752).

The spelling of 243314101413342 in words is "two hundred forty-three trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 40129 80258 120387 240774 361161 722322 336849911 673699822 1010549733 2021099466 3031649199 6063298398 13517450078519 27034900157038 40552350235557 81104700471114 121657050706671 243314101413342