Search a number
-
+
3055138251984 = 2433713329101157
BaseRepresentation
bin101100011101010100011…
…011100010010011010000
3101211001211211121200201000
4230131110123202103100
5400023410343030414
610255302223342000
7433504113444240
oct54352433422320
911731754550630
103055138251984
11a78749994575
12414133751900
13192137c76000
14a7c25bd5b20
155471024db09
hex2c7546e24d0

3055138251984 has 1280 divisors, whose sum is σ = 11414769408000. Its totient is φ = 765357465600.

The previous prime is 3055138251937. The next prime is 3055138252069. The reversal of 3055138251984 is 4891528315503.

3055138251984 is a `hidden beast` number, since 3 + 0 + 551 + 3 + 8 + 2 + 5 + 1 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3055138251984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19459479234 + ... + 19459479390.

It is an arithmetic number, because the mean of its divisors is an integer number (8917788600).

Almost surely, 23055138251984 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 3055138251984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707384704000).

3055138251984 is an abundant number, since it is smaller than the sum of its proper divisors (8359631156016).

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

3055138251984 is a wasteful number, since it uses less digits than its factorization.

3055138251984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 3055138251984 in words is "three trillion, fifty-five billion, one hundred thirty-eight million, two hundred fifty-one thousand, nine hundred eighty-four".