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130544532144 = 243313891391879
BaseRepresentation
bin111100110010100001…
…1110111101010110000
3110110221212120100022000
41321211003313222300
54114323400012034
6135545450214000
712301005133425
oct1714503675260
9413855510260
10130544532144
11503aaa921a4
1221373124300
13c40594c2c0
146465933d4c
1535e0a76599
hex1e650f7ab0

130544532144 has 320 divisors, whose sum is σ = 411223680000. Its totient is φ = 39409514496.

The previous prime is 130544532137. The next prime is 130544532161. The reversal of 130544532144 is 441235445031.

130544532144 is a `hidden beast` number, since 1 + 3 + 0 + 544 + 53 + 21 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130544532099 and 130544532108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69474597 + ... + 69476475.

It is an arithmetic number, because the mean of its divisors is an integer number (1285074000).

Almost surely, 2130544532144 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 130544532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840000).

130544532144 is an abundant number, since it is smaller than the sum of its proper divisors (280679147856).

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

130544532144 is a wasteful number, since it uses less digits than its factorization.

130544532144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 130544532144 its reverse (441235445031), we get a palindrome (571779977175).

The spelling of 130544532144 in words is "one hundred thirty billion, five hundred forty-four million, five hundred thirty-two thousand, one hundred forty-four".