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4022441001 = 323531266113
BaseRepresentation
bin1110111111000001…
…1001010000101001
3101101022221011201100
43233300121100221
531214221103001
61503050512013
7201452120145
oct35760312051
911338834640
104022441001
111784621507
12943135609
134c147ac07
142a2316225
15188209586
hexefc19429

4022441001 has 12 divisors (see below), whose sum is σ = 5826656628. Its totient is φ = 2674028544.

The previous prime is 4022440993. The next prime is 4022441039. The reversal of 4022441001 is 1001442204.

4022441001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2361960000 + 1660481001 = 48600^2 + 40749^2 .

It is not a de Polignac number, because 4022441001 - 23 = 4022440993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4022441081) 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, 629880 + ... + 636233.

It is an arithmetic number, because the mean of its divisors is an integer number (485554719).

Almost surely, 24022441001 is an apocalyptic number.

It is an amenable number.

4022441001 is a deficient number, since it is larger than the sum of its proper divisors (1804215627).

4022441001 is a wasteful number, since it uses less digits than its factorization.

4022441001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266472 (or 1266469 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4022441001 is about 63422.7167582720. The cubic root of 4022441001 is about 1590.3640901115.

Adding to 4022441001 its reverse (1001442204), we get a palindrome (5023883205).

It can be divided in two parts, 40224 and 41001, that added together give a square (81225 = 2852).

The spelling of 4022441001 in words is "four billion, twenty-two million, four hundred forty-one thousand, one".

Divisors: 1 3 9 353 1059 3177 1266113 3798339 11395017 446937889 1340813667 4022441001