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2042001441 = 3383911201
BaseRepresentation
bin111100110110110…
…0111100000100001
312021022101102101000
41321231213200201
513140223021231
6534343102213
7101413503654
oct17155474041
95238342330
102042001441
119587249a7
1248ba41969
13267091b9c
141552ad89b
15be40c6e6
hex79b67821

2042001441 has 16 divisors (see below), whose sum is σ = 3061638720. Its totient is φ = 1344931200.

The previous prime is 2042001419. The next prime is 2042001449. The reversal of 2042001441 is 1441002402.

2042001441 is a `hidden beast` number, since 20 + 4 + 200 + 1 + 441 = 666.

It is not a de Polignac number, because 2042001441 - 210 = 2042000417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042001449) 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, 453360 + ... + 457841.

It is an arithmetic number, because the mean of its divisors is an integer number (191352420).

Almost surely, 22042001441 is an apocalyptic number.

It is an amenable number.

2042001441 is a deficient number, since it is larger than the sum of its proper divisors (1019637279).

2042001441 is an equidigital number, since it uses as much as digits as its factorization.

2042001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911293 (or 911287 counting only the distinct ones).

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

The square root of 2042001441 is about 45188.5100551014. The cubic root of 2042001441 is about 1268.6797698643.

Adding to 2042001441 its reverse (1441002402), we get a palindrome (3483003843).

The spelling of 2042001441 in words is "two billion, forty-two million, one thousand, four hundred forty-one".

Divisors: 1 3 9 27 83 249 747 2241 911201 2733603 8200809 24602427 75629683 226889049 680667147 2042001441