Search a number
-
+
31245410928 = 24319241142159
BaseRepresentation
bin11101000110010111…
…110010001001110000
32222122112202022222210
4131012113302021300
51002442311122203
622204241332120
72154201416334
oct350627621160
988575668883
1031245410928
1112284246766
126080037040
132c3c3c8c44
1417259d97c4
15c2d134803
hex7465f2270

31245410928 has 80 divisors (see below), whose sum is σ = 85318745600. Its totient is φ = 9825960960.

The previous prime is 31245410891. The next prime is 31245410929. The reversal of 31245410928 is 82901454213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31245410929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148713 + ... + 290871.

It is an arithmetic number, because the mean of its divisors is an integer number (1066484320).

Almost surely, 231245410928 is an apocalyptic number.

31245410928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31245410928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42659372800).

31245410928 is an abundant number, since it is smaller than the sum of its proper divisors (54073334672).

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

31245410928 is a wasteful number, since it uses less digits than its factorization.

31245410928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142430 (or 142424 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 31245410928 in words is "thirty-one billion, two hundred forty-five million, four hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 241 304 456 482 723 912 964 1446 1928 2892 3856 4579 5784 9158 11568 13737 18316 27474 36632 54948 73264 109896 142159 219792 284318 426477 568636 852954 1137272 1705908 2274544 2701021 3411816 5402042 6823632 8103063 10804084 16206126 21608168 32412252 34260319 43216336 64824504 68520638 102780957 129649008 137041276 205561914 274082552 411123828 548165104 650946061 822247656 1301892122 1644495312 1952838183 2603784244 3905676366 5207568488 7811352732 10415136976 15622705464 31245410928