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45714014417 is a prime number
BaseRepresentation
bin101010100100110001…
…001000000011010001
311100222212222112201002
4222210301020003101
51222110241430132
633000053551345
73205556465651
oct524461100321
9140885875632
1045714014417
1118429407705
128a39645555
134406b19396
1422d9414361
1512c847d262
hexaa4c480d1

45714014417 has 2 divisors, whose sum is σ = 45714014418. Its totient is φ = 45714014416.

The previous prime is 45714014351. The next prime is 45714014419. The reversal of 45714014417 is 71441041754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40057620736 + 5656393681 = 200144^2 + 75209^2 .

It is a cyclic number.

It is not a de Polignac number, because 45714014417 - 216 = 45713948881 is a prime.

It is a super-2 number, since 2×457140144172 (a number of 22 digits) contains 22 as substring.

Together with 45714014419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45714014419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22857007208 + 22857007209.

It is an arithmetic number, because the mean of its divisors is an integer number (22857007209).

Almost surely, 245714014417 is an apocalyptic number.

It is an amenable number.

45714014417 is a deficient number, since it is larger than the sum of its proper divisors (1).

45714014417 is an equidigital number, since it uses as much as digits as its factorization.

45714014417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 45714014417 in words is "forty-five billion, seven hundred fourteen million, fourteen thousand, four hundred seventeen".