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31314638384 = 2417313367819
BaseRepresentation
bin11101001010011111…
…110111011000110000
32222211101000110012122
4131022133313120300
51003113021412014
622215153213412
72156002014551
oct351237673060
988741013178
1031314638384
111230a32a337
12609b261268
132c50856c33
141730c9a328
15c3425b58e
hex74a7f7630

31314638384 has 40 divisors (see below), whose sum is σ = 64446477840. Its totient is φ = 14689179648.

The previous prime is 31314638353. The next prime is 31314638389. The reversal of 31314638384 is 48383641313.

It is a super-2 number, since 2×313146383842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31314638389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98774 + ... + 269045.

It is an arithmetic number, because the mean of its divisors is an integer number (1611161946).

Almost surely, 231314638384 is an apocalyptic number.

31314638384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31314638384 is an abundant number, since it is smaller than the sum of its proper divisors (33131839456).

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

31314638384 is a wasteful number, since it uses less digits than its factorization.

31314638384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368157 (or 368151 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The spelling of 31314638384 in words is "thirty-one billion, three hundred fourteen million, six hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 313 626 1252 2504 5008 5321 10642 21284 42568 85136 367819 735638 1471276 2942552 5885104 6252923 12505846 25011692 50023384 100046768 115127347 230254694 460509388 921018776 1842037552 1957164899 3914329798 7828659596 15657319192 31314638384