Search a number
-
+
31314078208 = 29715975471
BaseRepresentation
bin11101001010011101…
…101110101000000000
32222211022221222210101
4131022131232220000
51003112401000313
622215133212144
72155664162440
oct351235565000
988738858711
1031314078208
1112309a87486
12609b031054
132c506bbc7a
141730b92120
15c3419a5dd
hex74a76ea00

31314078208 has 80 divisors (see below), whose sum is σ = 71562991104. Its totient is φ = 13409464320.

The previous prime is 31314078197. The next prime is 31314078241. The reversal of 31314078208 is 80287041313.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5720913 + ... + 5726383.

Almost surely, 231314078208 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 31314078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35781495552).

31314078208 is an abundant number, since it is smaller than the sum of its proper divisors (40248912896).

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

31314078208 is an equidigital number, since it uses as much as digits as its factorization.

31314078208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 31314078208 in words is "thirty-one billion, three hundred fourteen million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1597 1792 3194 3584 5471 6388 10942 11179 12776 21884 22358 25552 38297 43768 44716 51104 76594 87536 89432 102208 153188 175072 178864 204416 306376 350144 357728 408832 612752 700288 715456 817664 1225504 1400576 1430912 2451008 2801152 2861824 4902016 5723648 8737187 9804032 17474374 19608064 34948748 61160309 69897496 122320618 139794992 244641236 279589984 489282472 559179968 978564944 1118359936 1957129888 2236719872 3914259776 4473439744 7828519552 15657039104 31314078208