Search a number
-
+
130304351144 = 231121761271479
BaseRepresentation
bin111100101011010111…
…1101001101110101000
3110110100010121212220102
41321112233221232220
54113330403214034
6135505550244532
712262030465322
oct1712657515650
9413303555812
10130304351144
1150297455700
12213067b6748
13c397c66c76
146441a92612
1535c993197e
hex1e56be9ba8

130304351144 has 192 divisors, whose sum is σ = 290681395200. Its totient is φ = 54514944000.

The previous prime is 130304351143. The next prime is 130304351153. The reversal of 130304351144 is 441153403031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130304351143) 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, 272033897 + ... + 272034375.

It is an arithmetic number, because the mean of its divisors is an integer number (1513965600).

Almost surely, 2130304351144 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 130304351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

130304351144 is an abundant number, since it is smaller than the sum of its proper divisors (160377044056).

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

130304351144 is a wasteful number, since it uses less digits than its factorization.

130304351144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 130304351144 its reverse (441153403031), we get a palindrome (571457754175).

The spelling of 130304351144 in words is "one hundred thirty billion, three hundred four million, three hundred fifty-one thousand, one hundred forty-four".