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4414112144 = 241321221693
BaseRepresentation
bin1000001110001101…
…00000000110010000
3102101121221010111222
410013012200012100
533020003042034
62010001424212
7214246222421
oct40706400620
912347833458
104414112144
111965718872
12a3233b068
135546644a0
142dc34d648
151ac7c512e
hex1071a0190

4414112144 has 20 divisors (see below), whose sum is σ = 9210215196. Its totient is φ = 2037282432.

The previous prime is 4414112141. The next prime is 4414112147. The reversal of 4414112144 is 4412114144.

It is an interprime number because it is at equal distance from previous prime (4414112141) and next prime (4414112147).

It can be written as a sum of positive squares in 2 ways, for example, as 2799679744 + 1614432400 = 52912^2 + 40180^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4414112141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10610639 + ... + 10611054.

Almost surely, 24414112144 is an apocalyptic number.

It is an amenable number.

4414112144 is an abundant number, since it is smaller than the sum of its proper divisors (4796103052).

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

4414112144 is a wasteful number, since it uses less digits than its factorization.

4414112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221714 (or 21221708 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 4414112144 is about 66438.7849377154. The cubic root of 4414112144 is about 1640.3925473181.

Adding to 4414112144 its reverse (4412114144), we get a palindrome (8826226288).

The spelling of 4414112144 in words is "four billion, four hundred fourteen million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 21221693 42443386 84886772 169773544 275882009 339547088 551764018 1103528036 2207056072 4414112144