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2004424444131 = 317309111271471
BaseRepresentation
bin11101001010110001000…
…000011100100011100011
321002121202210012220022020
4131022301000130203203
5230320030124203011
64132453032112523
7264546335442054
oct35126100344343
97077683186266
102004424444131
1170308738618a
12284579835743
1311702a0a5555
146d02c32c72b
1537216644006
hex1d2b101c8e3

2004424444131 has 16 divisors (see below), whose sum is σ = 2829869457408. Its totient is φ = 1257636406400.

The previous prime is 2004424444103. The next prime is 2004424444177. The reversal of 2004424444131 is 1314444244002.

It is a cyclic number.

It is not a de Polignac number, because 2004424444131 - 210 = 2004424443107 is a prime.

It is a super-2 number, since 2×20044244441312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004424444092 and 2004424444101.

It is not an unprimeable number, because it can be changed into a prime (2004424444181) 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, 940726 + ... + 2212196.

It is an arithmetic number, because the mean of its divisors is an integer number (176866841088).

Almost surely, 22004424444131 is an apocalyptic number.

2004424444131 is a deficient number, since it is larger than the sum of its proper divisors (825445013277).

2004424444131 is a wasteful number, since it uses less digits than its factorization.

2004424444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302402.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2004424444131 its reverse (1314444244002), we get a palindrome (3318868688133).

The spelling of 2004424444131 in words is "two trillion, four billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 17 51 30911 92733 525487 1271471 1576461 3814413 21615007 64845021 39302440081 117907320243 668141481377 2004424444131