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31334440040 = 2358927132479
BaseRepresentation
bin11101001011101011…
…011001110001101000
32222212202021110222022
4131023223121301220
51003133104040130
622221141444012
72156332226411
oct351353316150
988782243868
1031334440040
111231a524642
1260a5a10608
132c5499aca7
141733772808
15c35d6d7e5
hex74bad9c68

31334440040 has 64 divisors (see below), whose sum is σ = 71559936000. Its totient is φ = 12346836480.

The previous prime is 31334440021. The next prime is 31334440051. The reversal of 31334440040 is 4004443313.

It is a junction number, because it is equal to n+sod(n) for n = 31334439991 and 31334440009.

It is an unprimeable number.

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, 948521 + ... + 980999.

It is an arithmetic number, because the mean of its divisors is an integer number (1118124000).

Almost surely, 231334440040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779968000).

31334440040 is an abundant number, since it is smaller than the sum of its proper divisors (40225495960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31334440040 is a wasteful number, since it uses less digits than its factorization.

31334440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32850 (or 32846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31334440040 its reverse (4004443313), we get a palindrome (35338883353).

The spelling of 31334440040 in words is "thirty-one billion, three hundred thirty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 271 356 445 542 712 890 1084 1355 1780 2168 2710 3560 5420 10840 24119 32479 48238 64958 96476 120595 129916 162395 192952 241190 259832 324790 482380 649580 964760 1299160 2890631 5781262 8801809 11562524 14453155 17603618 23125048 28906310 35207236 44009045 57812620 70414472 88018090 115625240 176036180 352072360 783361001 1566722002 3133444004 3916805005 6266888008 7833610010 15667220020 31334440040