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414012331122 = 23135307850399
BaseRepresentation
bin1100000011001010000…
…11101101010001110010
31110120122020020112200120
412001211003231101302
523240344124043442
6514110013031110
741624416515225
oct6014503552162
91416566215616
10414012331122
1114a644193145
12682a3a85496
133006c676b30
14160771695bc
15ab81b654ec
hex60650ed472

414012331122 has 16 divisors (see below), whose sum is σ = 891718867200. Its totient is φ = 127388409552.

The previous prime is 414012331079. The next prime is 414012331123. The reversal of 414012331122 is 221133210414.

It is a junction number, because it is equal to n+sod(n) for n = 414012331092 and 414012331101.

It is not an unprimeable number, because it can be changed into a prime (414012331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2653925122 + ... + 2653925277.

It is an arithmetic number, because the mean of its divisors is an integer number (55732429200).

Almost surely, 2414012331122 is an apocalyptic number.

414012331122 is an abundant number, since it is smaller than the sum of its proper divisors (477706536078).

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

414012331122 is a wasteful number, since it uses less digits than its factorization.

414012331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307850417.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414012331122 its reverse (221133210414), we get a palindrome (635145541536).

The spelling of 414012331122 in words is "four hundred fourteen billion, twelve million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 5307850399 10615700798 15923551197 31847102394 69002055187 138004110374 207006165561 414012331122