Search a number
-
+
3116048144 = 241122955501
BaseRepresentation
bin1011100110111011…
…0001111100010000
322001011101122110112
42321232301330100
522340202020034
61233111420452
7140134654316
oct27156617420
98034348415
103116048144
111359a23100
1272b684728
133a8756791
14217bb40b6
151338687ce
hexb9bb1f10

3116048144 has 60 divisors (see below), whose sum is σ = 6865042380. Its totient is φ = 1367520000.

The previous prime is 3116048081. The next prime is 3116048183. The reversal of 3116048144 is 4418406113.

It can be written as a sum of positive squares in 2 ways, for example, as 2126316544 + 989731600 = 46112^2 + 31460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3116048144.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28394 + ... + 83894.

It is an arithmetic number, because the mean of its divisors is an integer number (114417373).

Almost surely, 23116048144 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 3116048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432521190).

3116048144 is an abundant number, since it is smaller than the sum of its proper divisors (3748994236).

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

3116048144 is a wasteful number, since it uses less digits than its factorization.

3116048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55560 (or 55543 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3116048144 is about 55821.5741805980. The cubic root of 3116048144 is about 1460.6115133978.

The spelling of 3116048144 in words is "three billion, one hundred sixteen million, forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 3509 5104 7018 14036 28072 55501 56144 111002 222004 444008 610511 888016 1221022 1609529 2442044 3219058 4884088 6438116 6715621 9768176 12876232 13431242 17704819 25752464 26862484 35409638 53724968 70819276 107449936 141638552 194753009 283277104 389506018 779012036 1558024072 3116048144