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1406314417 is a prime number
BaseRepresentation
bin101001111010010…
…1010011110110001
310122000020011201011
41103310222132301
510340004030132
6351314110521
746564322014
oct12364523661
93560204634
101406314417
11661911922
12332b7b441
1319547c911
14d4ab737b
15836e0b47
hex53d2a7b1

1406314417 has 2 divisors, whose sum is σ = 1406314418. Its totient is φ = 1406314416.

The previous prime is 1406314397. The next prime is 1406314451. The reversal of 1406314417 is 7144136041.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 971007921 + 435306496 = 31161^2 + 20864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1406314417 - 215 = 1406281649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1406314717) 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 as a sum of consecutive naturals, namely, 703157208 + 703157209.

It is an arithmetic number, because the mean of its divisors is an integer number (703157209).

Almost surely, 21406314417 is an apocalyptic number.

It is an amenable number.

1406314417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406314417 is an equidigital number, since it uses as much as digits as its factorization.

1406314417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1406314417 is about 37500.8588834976. The cubic root of 1406314417 is about 1120.3682932610.

The spelling of 1406314417 in words is "one billion, four hundred six million, three hundred fourteen thousand, four hundred seventeen".