Search a number
-
+
130706299944 = 233911591279
BaseRepresentation
bin111100110111010110…
…0111101110000101000
3110111101010222000000000
41321232230331300220
54120141303044234
6140013505343000
712305011134603
oct1715654756050
9414333860000
10130706299944
11504833317a0
12213b9337a60
13c43030b5ac
14647d20333a
1535eed7c899
hex1e6eb3dc28

130706299944 has 320 divisors, whose sum is σ = 408139776000. Its totient is φ = 38906205120.

The previous prime is 130706299931. The next prime is 130706299957. The reversal of 130706299944 is 449992607031.

130706299944 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 0 + 629 + 9 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130706299931) and next prime (130706299957).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102193497 + ... + 102194775.

It is an arithmetic number, because the mean of its divisors is an integer number (1275436800).

Almost surely, 2130706299944 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 130706299944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204069888000).

130706299944 is an abundant number, since it is smaller than the sum of its proper divisors (277433476056).

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

130706299944 is an equidigital number, since it uses as much as digits as its factorization.

130706299944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 130706299944 in words is "one hundred thirty billion, seven hundred six million, two hundred ninety-nine thousand, nine hundred forty-four".