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40122320031 = 332364609211
BaseRepresentation
bin100101010111011110…
…100000010010011111
310211120012020001001000
4211113132200102133
51124132303220111
630233144321343
72620161043653
oct452736402237
9124505201030
1040122320031
111601a004982
127938a73253
133a2550c491
141d2892ca63
15109c5e9c56
hex9577a049f

40122320031 has 16 divisors (see below), whose sum is σ = 62024843520. Its totient is φ = 25585247160.

The previous prime is 40122319967. The next prime is 40122320053. The reversal of 40122320031 is 13002322104.

40122320031 is a `hidden beast` number, since 401 + 2 + 232 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 40122320031 - 26 = 40122319967 is a prime.

It is a super-2 number, since 2×401223200312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40122319986 and 40122320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122327031) 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 15 ways as a sum of consecutive naturals, for example, 32303985 + ... + 32305226.

It is an arithmetic number, because the mean of its divisors is an integer number (3876552720).

Almost surely, 240122320031 is an apocalyptic number.

40122320031 is a deficient number, since it is larger than the sum of its proper divisors (21902523489).

40122320031 is a wasteful number, since it uses less digits than its factorization.

40122320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64609243 (or 64609237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40122320031 its reverse (13002322104), we get a palindrome (53124642135).

The spelling of 40122320031 in words is "forty billion, one hundred twenty-two million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 9 23 27 69 207 621 64609211 193827633 581482899 1486011853 1744448697 4458035559 13374106677 40122320031