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4042220031 = 34234350459
BaseRepresentation
bin1111000011101111…
…0110000111111111
3101102201011001110000
43300323312013333
531234302020111
61505034445343
7202112206023
oct36073660777
911381131400
104042220031
111794800813
12949893853
134c55b4895
142a4bc4383
15189d14c56
hexf0ef61ff

4042220031 has 40 divisors (see below), whose sum is σ = 6447576960. Its totient is φ = 2517652368.

The previous prime is 4042220027. The next prime is 4042220041. The reversal of 4042220031 is 1300222404.

4042220031 is a `hidden beast` number, since 40 + 422 + 200 + 3 + 1 = 666.

It is not a de Polignac number, because 4042220031 - 22 = 4042220027 is a prime.

It is a super-2 number, since 2×40422200312 = 32679085558035281922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042219986 and 4042220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042220041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54880 + ... + 105338.

It is an arithmetic number, because the mean of its divisors is an integer number (161189424).

Almost surely, 24042220031 is an apocalyptic number.

4042220031 is a deficient number, since it is larger than the sum of its proper divisors (2405356929).

4042220031 is a wasteful number, since it uses less digits than its factorization.

4042220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50537 (or 50528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4042220031 is about 63578.4557141804. The cubic root of 4042220031 is about 1592.9665265823.

Adding to 4042220031 its reverse (1300222404), we get a palindrome (5342442435).

The spelling of 4042220031 in words is "four billion, forty-two million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 23 27 43 69 81 129 207 387 621 989 1161 1863 2967 3483 8901 26703 50459 80109 151377 454131 1160557 1362393 2169737 3481671 4087179 6509211 10445013 19527633 31335039 49903951 58582899 94005117 149711853 175748697 449135559 1347406677 4042220031