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31334441417 is a prime number
BaseRepresentation
bin11101001011101011…
…011010000111001001
32222212202021112212022
4131023223122013021
51003133104111132
622221141454225
72156332233416
oct351353320711
988782245768
1031334441417
111231a525684
1260a5a11375
132c5499b7c6
14173377310d
15c35d6de12
hex74bada1c9

31334441417 has 2 divisors, whose sum is σ = 31334441418. Its totient is φ = 31334441416.

The previous prime is 31334441401. The next prime is 31334441533. The reversal of 31334441417 is 71414443313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30093922576 + 1240518841 = 173476^2 + 35221^2 .

It is a cyclic number.

It is not a de Polignac number, because 31334441417 - 24 = 31334441401 is a prime.

It is a super-4 number, since 4×313344414174 (a number of 43 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (31334441317) 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, 15667220708 + 15667220709.

It is an arithmetic number, because the mean of its divisors is an integer number (15667220709).

Almost surely, 231334441417 is an apocalyptic number.

It is an amenable number.

31334441417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31334441417 is an equidigital number, since it uses as much as digits as its factorization.

31334441417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 35.

The spelling of 31334441417 in words is "thirty-one billion, three hundred thirty-four million, four hundred forty-one thousand, four hundred seventeen".