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130441344000 = 2103531130881
BaseRepresentation
bin111100101111011101…
…0001111010000000000
3110110200200101211202220
41321132322033100000
54114120441002000
6135531322411040
712265313062362
oct1713672172000
9413620354686
10130441344000
1150357813440
1221344660a80
13c3ba460626
146455d52d32
1535d69921a0
hex1e5ee8f400

130441344000 has 352 divisors, whose sum is σ = 473357319552. Its totient is φ = 31621120000.

The previous prime is 130441343993. The next prime is 130441344017. The reversal of 130441344000 is 443144031.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208560 + ... + 4239440.

Almost surely, 2130441344000 is an apocalyptic number.

130441344000 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 130441344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236678659776).

130441344000 is an abundant number, since it is smaller than the sum of its proper divisors (342915975552).

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

130441344000 is a wasteful number, since it uses less digits than its factorization.

130441344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30930 (or 30902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130441344000 its reverse (443144031), we get a palindrome (130884488031).

The spelling of 130441344000 in words is "one hundred thirty billion, four hundred forty-one million, three hundred forty-four thousand".