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424541105130000 = 2435433134271467
BaseRepresentation
bin110000010000111100010110…
…1110000111000101000010000
32001200011201210120011222211110
41200201320231300320220100
5421121140140403130000
64102531254040013320
7155265040231461135
oct14041705560705020
92050151716158743
10424541105130000
111132a996509a311
123b746ab1161240
13152b70927861c1
1476b9c832ac58c
15341344d5d5850
hex1821e2dc38a10

424541105130000 has 200 divisors, whose sum is σ = 1370889279731488. Its totient is φ = 113176763136000.

The previous prime is 424541105129983. The next prime is 424541105130001. The reversal of 424541105130000 is 31501145424.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 424541105130000.

It is not an unprimeable number, because it can be changed into a prime (424541105130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97254267 + ... + 101525733.

Almost surely, 2424541105130000 is an apocalyptic number.

424541105130000 is a gapful number since it is divisible by the number (40) 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 424541105130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685444639865744).

424541105130000 is an abundant number, since it is smaller than the sum of its proper divisors (946348174601488).

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

424541105130000 is a wasteful number, since it uses less digits than its factorization.

424541105130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274811 (or 4274790 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 424541105130000 its reverse (31501145424), we get a palindrome (424572606275424).

The spelling of 424541105130000 in words is "four hundred twenty-four trillion, five hundred forty-one billion, one hundred five million, one hundred thirty thousand".