Search a number
-
+
40320413381 is a prime number
BaseRepresentation
bin100101100011010010…
…001010111011000101
310212001222222020000202
4211203102022323011
51130034011212011
630304542220245
72625114600413
oct454322127305
9125058866022
1040320413381
1116110905396
127993284685
133a57579991
141d46d762b3
1510aebc923b
hex96348aec5

40320413381 has 2 divisors, whose sum is σ = 40320413382. Its totient is φ = 40320413380.

The previous prime is 40320413369. The next prime is 40320413389. The reversal of 40320413381 is 18331402304.

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., 38507782756 + 1812630625 = 196234^2 + 42575^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320413381 - 210 = 40320412357 is a prime.

It is a super-2 number, since 2×403204133812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40320413389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160206690 + 20160206691.

It is an arithmetic number, because the mean of its divisors is an integer number (20160206691).

Almost surely, 240320413381 is an apocalyptic number.

It is an amenable number.

40320413381 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320413381 is an equidigital number, since it uses as much as digits as its factorization.

40320413381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 40320413381 its reverse (18331402304), we get a palindrome (58651815685).

The spelling of 40320413381 in words is "forty billion, three hundred twenty million, four hundred thirteen thousand, three hundred eighty-one".