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5614420838400 = 2113252111997601
BaseRepresentation
bin101000110110011010110…
…0011110100100000000000
3201212201210122022200020100
41101230311203310200000
51213441313213312100
615535121311242400
71116425403500613
oct121546543644000
921781718280210
105614420838400
111875076217420
12768142219400
1331958c589b3a
14155a4cd7017a
159b09d600400
hex51b358f4800

5614420838400 has 1728 divisors, whose sum is σ = 23366451326400. Its totient is φ = 1274019840000.

The previous prime is 5614420838387. The next prime is 5614420838407. The reversal of 5614420838400 is 48380244165.

5614420838400 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 4 + 208 + 38 + 400 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5614420838407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9341798100 + ... + 9341798700.

It is an arithmetic number, because the mean of its divisors is an integer number (13522251925).

Almost surely, 25614420838400 is an apocalyptic number.

5614420838400 is a gapful number since it is divisible by the number (50) 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 5614420838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683225663200).

5614420838400 is an abundant number, since it is smaller than the sum of its proper divisors (17752030488000).

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

5614420838400 is a wasteful number, since it uses less digits than its factorization.

5614420838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 5614420838400 in words is "five trillion, six hundred fourteen billion, four hundred twenty million, eight hundred thirty-eight thousand, four hundred".