Search a number
-
+
40442934969 = 3225997172853
BaseRepresentation
bin100101101010100101…
…100011011010111001
310212101112111222001100
4211222211203122321
51130311342404334
630325040242013
72631133163253
oct455245433271
9125345458040
1040442934969
1116173a896a8
127a08310309
133a76a77568
141d5934acd3
1510ba82bc99
hex96a9636b9

40442934969 has 12 divisors (see below), whose sum is σ = 58420157796. Its totient is φ = 26960763552.

The previous prime is 40442934901. The next prime is 40442934977. The reversal of 40442934969 is 96943924404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2743664400 + 37699270569 = 52380^2 + 194163^2 .

It is not a de Polignac number, because 40442934969 - 211 = 40442932921 is a prime.

It is a super-2 number, since 2×404429349692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40442934979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147547 + ... + 320399.

It is an arithmetic number, because the mean of its divisors is an integer number (4868346483).

Almost surely, 240442934969 is an apocalyptic number.

It is an amenable number.

40442934969 is a deficient number, since it is larger than the sum of its proper divisors (17977222827).

40442934969 is a wasteful number, since it uses less digits than its factorization.

40442934969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198856 (or 198853 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 40442934969 in words is "forty billion, four hundred forty-two million, nine hundred thirty-four thousand, nine hundred sixty-nine".

Divisors: 1 3 9 25997 77991 172853 233973 518559 1555677 4493659441 13480978323 40442934969