Search a number
-
+
40134465061441 is a prime number
BaseRepresentation
bin10010010000000100010001…
…00010001000001001000001
312021002211001212122212202021
421020002020202020021001
520230030341023431231
6221205304013121441
711311422313153642
oct1110021042101101
9167084055585667
1040134465061441
1111873a27250a23
1246023b3189281
131951882531c8a
149ca7389976c9
15498ec9a6b811
hex248088888241

40134465061441 has 2 divisors, whose sum is σ = 40134465061442. Its totient is φ = 40134465061440.

The previous prime is 40134465061433. The next prime is 40134465061477. The reversal of 40134465061441 is 14416056443104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21476773564416 + 18657691497025 = 4634304^2 + 4319455^2 .

It is a cyclic number.

It is not a de Polignac number, because 40134465061441 - 23 = 40134465061433 is a prime.

It is a super-2 number, since 2×401344650614412 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40134465011441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067232530720 + 20067232530721.

It is an arithmetic number, because the mean of its divisors is an integer number (20067232530721).

Almost surely, 240134465061441 is an apocalyptic number.

It is an amenable number.

40134465061441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40134465061441 is an equidigital number, since it uses as much as digits as its factorization.

40134465061441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 40134465061441 in words is "forty trillion, one hundred thirty-four billion, four hundred sixty-five million, sixty-one thousand, four hundred forty-one".