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4414200606 = 2322928329881
BaseRepresentation
bin1000001110001101…
…10101101100011110
3102101122002121212100
410013012311230132
533020013404411
62010003345530
7214250041344
oct40706655436
912348077770
104414200606
111965779282
12a323822a6
1355469582a
142dc373994
151ac7e1456
hex1071b5b1e

4414200606 has 48 divisors (see below), whose sum is σ = 9929190960. Its totient is φ = 1415594880.

The previous prime is 4414200601. The next prime is 4414200617. The reversal of 4414200606 is 6060024144.

4414200606 is a `hidden beast` number, since 44 + 14 + 2 + 0 + 0 + 606 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4414200606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414200601) 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 23 ways as a sum of consecutive naturals, for example, 132786 + ... + 162666.

It is an arithmetic number, because the mean of its divisors is an integer number (206858145).

Almost surely, 24414200606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414200606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964595480).

4414200606 is an abundant number, since it is smaller than the sum of its proper divisors (5514990354).

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

4414200606 is a wasteful number, since it uses less digits than its factorization.

4414200606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30201 (or 30198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4414200606 is about 66439.4506750319. The cubic root of 4414200606 is about 1640.4035054626.

The spelling of 4414200606 in words is "four billion, four hundred fourteen million, two hundred thousand, six hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 283 522 566 849 1698 2547 5094 8207 16414 24621 29881 49242 59762 73863 89643 147726 179286 268929 537858 866549 1733098 2599647 5199294 7798941 8456323 15597882 16912646 25368969 50737938 76106907 152213814 245233367 490466734 735700101 1471400202 2207100303 4414200606