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130024401410000 = 2454167520914947
BaseRepresentation
bin11101100100000110101010…
…010000100001011111010000
3122001101012201002120100110202
4131210012222100201133100
5114020304433230110000
61140312215124514332
736246644610235466
oct3544065220413720
9561335632510422
10130024401410000
1138480047959779
12126bb724b4b9a8
13577232ca97826
142417300c48836
15100737692add5
hex7641aa4217d0

130024401410000 has 200 divisors, whose sum is σ = 316769108187840. Its totient is φ = 51684941952000.

The previous prime is 130024401409949. The next prime is 130024401410017. The reversal of 130024401410000 is 14104420031.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8699022527 + ... + 8699037473.

Almost surely, 2130024401410000 is an apocalyptic number.

130024401410000 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 130024401410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158384554093920).

130024401410000 is an abundant number, since it is smaller than the sum of its proper divisors (186744706777840).

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

130024401410000 is a wasteful number, since it uses less digits than its factorization.

130024401410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20351 (or 20330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130024401410000 its reverse (14104420031), we get a palindrome (130038505830031).

The spelling of 130024401410000 in words is "one hundred thirty trillion, twenty-four billion, four hundred one million, four hundred ten thousand".