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130042532424 = 233729471513761
BaseRepresentation
bin111100100011100100…
…0111001001001001000
3110102122212222010010210
41321013020321021020
54112311342014144
6135423554441120
712252401200410
oct1710710711110
9412585863123
10130042532424
115017268a3a2
1221252b931a0
13c355946c4c
146418dbb640
1535b1965ab9
hex1e47239248

130042532424 has 256 divisors, whose sum is σ = 395244748800. Its totient is φ = 34868736000.

The previous prime is 130042532413. The next prime is 130042532437. The reversal of 130042532424 is 424235240031.

It is a super-2 number, since 2×1300425324242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130042532391 and 130042532400.

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, 34574704 + ... + 34578464.

It is an arithmetic number, because the mean of its divisors is an integer number (1543924800).

Almost surely, 2130042532424 is an apocalyptic number.

130042532424 is a gapful number since it is divisible by the number (14) 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 130042532424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197622374400).

130042532424 is an abundant number, since it is smaller than the sum of its proper divisors (265202216376).

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

130042532424 is a wasteful number, since it uses less digits than its factorization.

130042532424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 130042532424 its reverse (424235240031), we get a palindrome (554277772455).

The spelling of 130042532424 in words is "one hundred thirty billion, forty-two million, five hundred thirty-two thousand, four hundred twenty-four".