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130244511040 = 26573137163311
BaseRepresentation
bin111100101001100101…
…1011000010101000000
3110110011222000200201021
41321103023120111000
54113220043323130
6135500011515224
712260403035350
oct1712313302500
9413158020637
10130244511040
11502666a3976
12212aa758b14
13c388744a17
146437b56b60
1535c456137a
hex1e532d8540

130244511040 has 448 divisors, whose sum is σ = 379294875648. Its totient is φ = 41654476800.

The previous prime is 130244511029. The next prime is 130244511041. The reversal of 130244511040 is 40115442031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 130244510996 and 130244511014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130244511041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418792485 + ... + 418792795.

Almost surely, 2130244511040 is an apocalyptic number.

130244511040 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 130244511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189647437824).

130244511040 is an abundant number, since it is smaller than the sum of its proper divisors (249050364608).

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

130244511040 is a wasteful number, since it uses less digits than its factorization.

130244511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 130244511040 its reverse (40115442031), we get a palindrome (170359953071).

The spelling of 130244511040 in words is "one hundred thirty billion, two hundred forty-four million, five hundred eleven thousand, forty".