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414322431007 is a prime number
BaseRepresentation
bin1100000011101111000…
…10101001010000011111
31110121102211202020202111
412001313202221100133
523242013020243012
6514200451334451
741635203361432
oct6016742512037
91417384666674
10414322431007
1114a793235841
126836b8b1427
13300bb99caa4
14160a640b819
15ab9debbba7
hex60778a941f

414322431007 has 2 divisors, whose sum is σ = 414322431008. Its totient is φ = 414322431006.

The previous prime is 414322431001. The next prime is 414322431037. The reversal of 414322431007 is 700134223414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414322431007 - 215 = 414322398239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414322431007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414322431001) 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 as a sum of consecutive naturals, namely, 207161215503 + 207161215504.

It is an arithmetic number, because the mean of its divisors is an integer number (207161215504).

Almost surely, 2414322431007 is an apocalyptic number.

414322431007 is a deficient number, since it is larger than the sum of its proper divisors (1).

414322431007 is an equidigital number, since it uses as much as digits as its factorization.

414322431007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 414322431007 in words is "four hundred fourteen billion, three hundred twenty-two million, four hundred thirty-one thousand, seven".