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122414342142042 = 23243158158064783
BaseRepresentation
bin11011110101010111001111…
…011000001111100001011010
3121001102200210222110120010100
4123311113033120033201122
5112021114033042021132
61112204212240000230
734533100341610356
oct3365271730174132
9531380728416110
10122414342142042
11360066a3892a45
1211890877600076
13533c813772852
142232c587bc466
15e244281e537c
hex6f55cf60f85a

122414342142042 has 24 divisors (see below), whose sum is σ = 271399239169344. Its totient is φ = 39855832325064.

The previous prime is 122414342142031. The next prime is 122414342142061. The reversal of 122414342142042 is 240241243414221.

122414342142042 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 434 + 2 + 14 + 204 + 2 = 666.

It is a super-3 number, since 3×1224143421420423 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122414342141988 and 122414342142006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79079031618 + ... + 79079033165.

It is an arithmetic number, because the mean of its divisors is an integer number (11308301632056).

Almost surely, 2122414342142042 is an apocalyptic number.

122414342142042 is an abundant number, since it is smaller than the sum of its proper divisors (148984897027302).

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

122414342142042 is a wasteful number, since it uses less digits than its factorization.

122414342142042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158158064834 (or 158158064831 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 122414342142042 its reverse (240241243414221), we get a palindrome (362655585556263).

The spelling of 122414342142042 in words is "one hundred twenty-two trillion, four hundred fourteen billion, three hundred forty-two million, one hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 158158064783 316316129566 474474194349 948948388698 1423422583047 2846845166094 6800796785669 13601593571338 20402390357007 40804780714014 61207171071021 122414342142042