Search a number
-
+
5114379312 = 243372307787
BaseRepresentation
bin1001100001101011…
…10011110000110000
3111012102121101111000
410300311303300300
540433240114222
62203254522000
7240511335600
oct46065636060
914172541430
105114379312
112194a2a969
12ba8966300
13636768363
14367356c00
151edeeb9ac
hex130d73c30

5114379312 has 240 divisors, whose sum is σ = 17154318720. Its totient is φ = 1454640768.

The previous prime is 5114379311. The next prime is 5114379317. The reversal of 5114379312 is 2139734115.

5114379312 is a `hidden beast` number, since 511 + 43 + 7 + 93 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5114379311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6498183 + ... + 6498969.

It is an arithmetic number, because the mean of its divisors is an integer number (71476328).

Almost surely, 25114379312 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 5114379312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577159360).

5114379312 is an abundant number, since it is smaller than the sum of its proper divisors (12039939408).

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

5114379312 is a wasteful number, since it uses less digits than its factorization.

5114379312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5114379312 is about 71514.8887435337. Note that the first 3 decimals coincide. The cubic root of 5114379312 is about 1722.9168229052.

The spelling of 5114379312 in words is "five billion, one hundred fourteen million, three hundred seventy-nine thousand, three hundred twelve".