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34408162264381 is a prime number
BaseRepresentation
bin1111101001011010001100…
…10010100000010100111101
311111211101110222200211012021
413310231012102200110331
514002220404014430011
6201102520323040141
710150623223403443
oct764550622402475
9144741428624167
1034408162264381
11aa66468641064
123a38647b10051
1316278a28c0449
1486d514914b93
153ea07e02b471
hex1f4b464a053d

34408162264381 has 2 divisors, whose sum is σ = 34408162264382. Its totient is φ = 34408162264380.

The previous prime is 34408162264271. The next prime is 34408162264387. The reversal of 34408162264381 is 18346226180443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28363772835225 + 6044389429156 = 5325765^2 + 2458534^2 .

It is a cyclic number.

It is not a de Polignac number, because 34408162264381 - 235 = 34373802526013 is a prime.

It is a super-2 number, since 2×344081622643812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34408162264387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17204081132190 + 17204081132191.

It is an arithmetic number, because the mean of its divisors is an integer number (17204081132191).

Almost surely, 234408162264381 is an apocalyptic number.

It is an amenable number.

34408162264381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34408162264381 is an equidigital number, since it uses as much as digits as its factorization.

34408162264381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 34408162264381 in words is "thirty-four trillion, four hundred eight billion, one hundred sixty-two million, two hundred sixty-four thousand, three hundred eighty-one".