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141421341340400 = 2452111910116748939
BaseRepresentation
bin100000001001111100111000…
…110100000111001011110000
3200112201202012102201202102212
4200021330320310013023300
5122014021401340343100
61220440022312431252
741534232450243332
oct4011747064071360
9615652172652385
10141421341340400
11410744aa381440
1213a404a10a8528
1360bac8a872b34
1426ccb87dc1452
151153a61021635
hex809f38d072f0

141421341340400 has 240 divisors, whose sum is σ = 394023503203200. Its totient is φ = 48236941440000.

The previous prime is 141421341340373. The next prime is 141421341340403. The reversal of 141421341340400 is 4043143124141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141421341340403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69131 + ... + 16818069.

It is an arithmetic number, because the mean of its divisors is an integer number (1641764596680).

Almost surely, 2141421341340400 is an apocalyptic number.

141421341340400 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 141421341340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197011751601600).

141421341340400 is an abundant number, since it is smaller than the sum of its proper divisors (252602161862800).

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

141421341340400 is a wasteful number, since it uses less digits than its factorization.

141421341340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749088 (or 16749077 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 141421341340400 its reverse (4043143124141), we get a palindrome (145464484464541).

The spelling of 141421341340400 in words is "one hundred forty-one trillion, four hundred twenty-one billion, three hundred forty-one million, three hundred forty thousand, four hundred".