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12004441404 = 22317347169583
BaseRepresentation
bin10110010111000010…
…10011110100111100
31010222121110210210220
423023201103310330
5144041114111104
65303104501340
7603324032304
oct131341236474
933877423726
1012004441404
11510021555a
1223b031a850
13119405b287
1481c456604
154a3d4b7d9
hex2cb853d3c

12004441404 has 48 divisors (see below), whose sum is σ = 29743676928. Its totient is φ = 3755223808.

The previous prime is 12004441403. The next prime is 12004441459. The reversal of 12004441404 is 40414440021.

It is a happy number.

It is a super-2 number, since 2×120044414042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004441403) 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, 14004 + ... + 155579.

It is an arithmetic number, because the mean of its divisors is an integer number (619659936).

Almost surely, 212004441404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871838464).

12004441404 is an abundant number, since it is smaller than the sum of its proper divisors (17739235524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12004441404 is a wasteful number, since it uses less digits than its factorization.

12004441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169954 (or 169952 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12004441404 its reverse (40414440021), we get a palindrome (52418881425).

The spelling of 12004441404 in words is "twelve billion, four million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 347 694 1041 1388 2082 4164 5899 11798 17697 23596 35394 70788 169583 339166 508749 678332 1017498 2034996 2882911 5765822 8648733 11531644 17297466 34594932 58845301 117690602 176535903 235381204 353071806 706143612 1000370117 2000740234 3001110351 4001480468 6002220702 12004441404