Search a number
-
+
4001388120437 is a prime number
BaseRepresentation
bin111010001110100101010…
…100010100100101110101
3112011112021121200112012012
4322032211110110211311
51011024320324323222
612302113510134005
7562043061560351
oct72164524244565
915145247615165
104001388120437
111302a85307044
125475b4951305
13230438577c86
14db94d83c461
156e142ca51e2
hex3a3a5514975

4001388120437 has 2 divisors, whose sum is σ = 4001388120438. Its totient is φ = 4001388120436.

The previous prime is 4001388120349. The next prime is 4001388120461. The reversal of 4001388120437 is 7340218831004.

4001388120437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4001316108241 + 72012196 = 2000329^2 + 8486^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001388120437 - 220 = 4001387071861 is a prime.

It is a super-2 number, since 2×40013881204372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001388120394 and 4001388120403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001388129437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000694060218 + 2000694060219.

It is an arithmetic number, because the mean of its divisors is an integer number (2000694060219).

Almost surely, 24001388120437 is an apocalyptic number.

It is an amenable number.

4001388120437 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001388120437 is an equidigital number, since it uses as much as digits as its factorization.

4001388120437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 4001388120437 in words is "four trillion, one billion, three hundred eighty-eight million, one hundred twenty thousand, four hundred thirty-seven".