Search a number
-
+
34237007534381 is a prime number
BaseRepresentation
bin1111100100011011011001…
…01011000001100100101101
311111020000200220212200022012
413302031230223001210231
513441414342412100011
6200452133015131005
710132353651244511
oct762155453014455
9144200626780265
1034237007534381
11a9aa919218183
123a0b440673a65
1316146c7662392
14865119774141
153e58b3138a8b
hex1f236cac192d

34237007534381 has 2 divisors, whose sum is σ = 34237007534382. Its totient is φ = 34237007534380.

The previous prime is 34237007534363. The next prime is 34237007534437. The reversal of 34237007534381 is 18343570073243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28364944515625 + 5872063018756 = 5325875^2 + 2423234^2 .

It is an emirp because it is prime and its reverse (18343570073243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34237007534381 - 214 = 34237007517997 is a prime.

It is a super-2 number, since 2×342370075343812 (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 (34237007534321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17118503767190 + 17118503767191.

It is an arithmetic number, because the mean of its divisors is an integer number (17118503767191).

Almost surely, 234237007534381 is an apocalyptic number.

It is an amenable number.

34237007534381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34237007534381 is an equidigital number, since it uses as much as digits as its factorization.

34237007534381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 50.

The spelling of 34237007534381 in words is "thirty-four trillion, two hundred thirty-seven billion, seven million, five hundred thirty-four thousand, three hundred eighty-one".