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21214141343120 = 24511232959612583
BaseRepresentation
bin1001101001011010011010…
…10110111110010110010000
32210010001101222121021112002
410310231031112332112100
510240033030140434440
6113041350400453132
74316446125116345
oct464551526762620
983101358537462
1021214141343120
116839959811560
12246753901a1a8
13bab63c56809b
14534aac9327cc
1526bc662c4115
hex134b4d5be590

21214141343120 has 320 divisors, whose sum is σ = 59066819481600. Its totient is φ = 7003625502720.

The previous prime is 21214141343089. The next prime is 21214141343123. The reversal of 21214141343120 is 2134314141212.

It is a super-3 number, since 3×212141413431203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (21214141343123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34324349 + ... + 34936931.

It is an arithmetic number, because the mean of its divisors is an integer number (184583810880).

Almost surely, 221214141343120 is an apocalyptic number.

21214141343120 is a gapful number since it is divisible by the number (20) 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 21214141343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29533409740800).

21214141343120 is an abundant number, since it is smaller than the sum of its proper divisors (37852678138480).

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

21214141343120 is a wasteful number, since it uses less digits than its factorization.

21214141343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612718 (or 612712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 21214141343120 its reverse (2134314141212), we get a palindrome (23348455484332).

The spelling of 21214141343120 in words is "twenty-one trillion, two hundred fourteen billion, one hundred forty-one million, three hundred forty-three thousand, one hundred twenty".