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2040440031 = 337107163619
BaseRepresentation
bin111100110011110…
…1010010011011111
312021012110002112000
41321213222103133
513134323040111
6534245413343
7101364311520
oct17147522337
95235402460
102040440031
11957858883
1248b40a253
13266966286
14154dc4847
15be1eec56
hex799ea4df

2040440031 has 64 divisors (see below), whose sum is σ = 3514060800. Its totient is φ = 1146127968.

The previous prime is 2040440027. The next prime is 2040440047. The reversal of 2040440031 is 1300440402.

It is not a de Polignac number, because 2040440031 - 22 = 2040440027 is a prime.

It is a super-2 number, since 2×20404400312 = 8326791040214561922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2040439986 and 2040440013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040440021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3296040 + ... + 3296658.

It is an arithmetic number, because the mean of its divisors is an integer number (54907200).

Almost surely, 22040440031 is an apocalyptic number.

2040440031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2040440031 is a deficient number, since it is larger than the sum of its proper divisors (1473620769).

2040440031 is a wasteful number, since it uses less digits than its factorization.

2040440031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

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

The square root of 2040440031 is about 45171.2301249368. The cubic root of 2040440031 is about 1268.3563234066.

Adding to 2040440031 its reverse (1300440402), we get a palindrome (3340880433).

The spelling of 2040440031 in words is "two billion, forty million, four hundred forty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 107 163 189 321 489 619 749 963 1141 1467 1857 2247 2889 3423 4333 4401 5571 6741 10269 12999 16713 17441 20223 30807 38997 52323 66233 100897 116991 122087 156969 198699 302691 366261 463631 470907 596097 706279 908073 1098783 1390893 1788291 2118837 2724219 3296349 4172679 6356511 10795979 12518037 19069533 32387937 75571853 97163811 226715559 291491433 680146677 2040440031