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4021444444401 = 321726283950617
BaseRepresentation
bin111010100001010000110…
…001001000000011110001
3112020110001101012100101200
4322201100301020003301
51011341404234210101
612315232010521413
7563353066531146
oct72412061100361
915213041170350
104021444444401
11131053760609a
1254b471736269
132322b38135a7
14dc8d33c63cd
156e918949986
hex3a850c480f1

4021444444401 has 12 divisors (see below), whose sum is σ = 6150444444612. Its totient is φ = 2523259259136.

The previous prime is 4021444444373. The next prime is 4021444444439. The reversal of 4021444444401 is 1044444441204.

It can be written as a sum of positive squares in 2 ways, for example, as 3595327938225 + 426116506176 = 1896135^2 + 652776^2 .

It is not a de Polignac number, because 4021444444401 - 210 = 4021444443377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4021444444201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13141975156 + ... + 13141975461.

It is an arithmetic number, because the mean of its divisors is an integer number (512537037051).

Almost surely, 24021444444401 is an apocalyptic number.

It is an amenable number.

4021444444401 is a deficient number, since it is larger than the sum of its proper divisors (2129000000211).

4021444444401 is a wasteful number, since it uses less digits than its factorization.

4021444444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26283950640 (or 26283950637 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4021444444401 its reverse (1044444441204), we get a palindrome (5065888885605).

The spelling of 4021444444401 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 17 51 153 26283950617 78851851851 236555555553 446827160489 1340481481467 4021444444401