Search a number
-
+
3147294818304 = 2143572131773
BaseRepresentation
bin101101110011001001011…
…000111100000000000000
3102010212201101110022200000
4231303021120330000000
5403031124433141204
610405503002400000
7443245620361200
oct55631130740000
912125641408600
103147294818304
11100383a96987a
12429b72800000
1319aa33800220
14ac4892a6400
1556d05ab8039
hex2dcc963c000

3147294818304 has 2160 divisors, whose sum is σ = 12677837503968. Its totient is φ = 770527199232.

The previous prime is 3147294818273. The next prime is 3147294818413. The reversal of 3147294818304 is 4038184927413.

3147294818304 is a `hidden beast` number, since 3 + 1 + 47 + 294 + 8 + 1 + 8 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43113627612 + ... + 43113627684.

Almost surely, 23147294818304 is an apocalyptic number.

3147294818304 is a gapful number since it is divisible by the number (34) 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 3147294818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338918751984).

3147294818304 is an abundant number, since it is smaller than the sum of its proper divisors (9530542685664).

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

3147294818304 is an equidigital number, since it uses as much as digits as its factorization.

3147294818304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3147294818304 in words is "three trillion, one hundred forty-seven billion, two hundred ninety-four million, eight hundred eighteen thousand, three hundred four".