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130440000000 = 293571087
BaseRepresentation
bin111100101111011010…
…1000111001000000000
3110110200120212120011010
41321132311013020000
54114120120000000
6135531233520520
712265265464122
oct1713665071000
9413616776133
10130440000000
1150356a856a2
1221344113140
13c3ba0ac96b
146455ac3212
1535d67c8d50
hex1e5ed47200

130440000000 has 320 divisors, whose sum is σ = 434773886976. Its totient is φ = 34752000000.

The previous prime is 130439999999. The next prime is 130440000011. The reversal of 130440000000 is 44031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119999457 + ... + 120000543.

Almost surely, 2130440000000 is an apocalyptic number.

130440000000 is a gapful number since it is divisible by the number (10) 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 130440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217386943488).

130440000000 is an abundant number, since it is smaller than the sum of its proper divisors (304333886976).

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

130440000000 is an frugal number, since it uses more digits than its factorization.

130440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 130440000000 its reverse (44031), we get a palindrome (130440044031).

The spelling of 130440000000 in words is "one hundred thirty billion, four hundred forty million", and thus it is an aban number.