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4414121300 = 225244141213
BaseRepresentation
bin1000001110001101…
…00010010101010100
3102101121221121002002
410013012202111110
533020003340200
62010001534432
7214246261211
oct40706422524
912347847062
104414121300
111965724736
12a32344418
135546686c4
142dc352b08
151ac7c7bd5
hex1071a2554

4414121300 has 18 divisors (see below), whose sum is σ = 9578643438. Its totient is φ = 1765648480.

The previous prime is 4414121297. The next prime is 4414121303. The reversal of 4414121300 is 31214144.

It is an interprime number because it is at equal distance from previous prime (4414121297) and next prime (4414121303).

It can be written as a sum of positive squares in 3 ways, for example, as 148986436 + 4265134864 = 12206^2 + 65308^2 .

It is a super-2 number, since 2×44141213002 = 38968933702227380000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414121303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22070507 + ... + 22070706.

Almost surely, 24414121300 is an apocalyptic number.

It is an amenable number.

4414121300 is an abundant number, since it is smaller than the sum of its proper divisors (5164522138).

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

4414121300 is a wasteful number, since it uses less digits than its factorization.

4414121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44141227 (or 44141220 counting only the distinct ones).

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

The square root of 4414121300 is about 66438.8538432144. The cubic root of 4414121300 is about 1640.3936815155.

Adding to 4414121300 its reverse (31214144), we get a palindrome (4445335444).

The spelling of 4414121300 in words is "four billion, four hundred fourteen million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 44141213 88282426 176564852 220706065 441412130 882824260 1103530325 2207060650 4414121300