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4338100444681 = 10494645789017
BaseRepresentation
bin111111001000001010111…
…011111001111000001001
3120100201101200022212011001
4333020022323321320021
51032033412203212211
613120521255535001
7625263113241223
oct77101273717011
916321350285131
104338100444681
111422861674983
125a090508a461
132561092a0563
1410dd7265d413
1577c9d4ceac1
hex3f20aef9e09

4338100444681 has 8 divisors (see below), whose sum is σ = 4342378156200. Its totient is φ = 4333823006208.

The previous prime is 4338100444637. The next prime is 4338100444739. The reversal of 4338100444681 is 1864440018334.

It can be written as a sum of positive squares in 4 ways, for example, as 1910175532281 + 2427924912400 = 1382091^2 + 1558180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4338100444681 - 227 = 4337966226953 is a prime.

It is a super-2 number, since 2×43381004446812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4338100444481) 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 7 ways as a sum of consecutive naturals, for example, 48688885 + ... + 48777901.

It is an arithmetic number, because the mean of its divisors is an integer number (542797269525).

Almost surely, 24338100444681 is an apocalyptic number.

It is an amenable number.

4338100444681 is a deficient number, since it is larger than the sum of its proper divisors (4277711519).

4338100444681 is a wasteful number, since it uses less digits than its factorization.

4338100444681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136523.

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 4338100444681 in words is "four trillion, three hundred thirty-eight billion, one hundred million, four hundred forty-four thousand, six hundred eighty-one".

Divisors: 1 1049 46457 89017 48733393 93378833 4135462769 4338100444681