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4444205270241 = 311197088046683
BaseRepresentation
bin100000010101011111101…
…0001101100010011100001
3120201212021022021110201010
41000222333101230103201
51040303213022121431
613241350102331133
7636040356336042
oct100527721542341
916655238243633
104444205270241
111463860018860
125b9397429aa9
132631187bbac9
1411515a3b88c9
157a90d65b846
hex40abf46c4e1

4444205270241 has 16 divisors (see below), whose sum is σ = 6804524816640. Its totient is φ = 2551696805520.

The previous prime is 4444205270237. The next prime is 4444205270269. The reversal of 4444205270241 is 1420725024444.

It is a happy number.

4444205270241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4444205270241 - 22 = 4444205270237 is a prime.

It is a super-3 number, since 3×44442052702413 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4444205270241.

It is not an unprimeable number, because it can be changed into a prime (4444205270201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544022715 + ... + 3544023968.

It is an arithmetic number, because the mean of its divisors is an integer number (425282801040).

Almost surely, 24444205270241 is an apocalyptic number.

It is an amenable number.

4444205270241 is a deficient number, since it is larger than the sum of its proper divisors (2360319546399).

4444205270241 is a wasteful number, since it uses less digits than its factorization.

4444205270241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088046716.

The product of its (nonzero) digits is 286720, while the sum is 39.

The spelling of 4444205270241 in words is "four trillion, four hundred forty-four billion, two hundred five million, two hundred seventy thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 7088046683 21264140049 77968513513 134672886977 233905540539 404018660931 1481401756747 4444205270241