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1004440021 = 13318330029
BaseRepresentation
bin111011110111101…
…000100111010101
32121000000211200021
4323313220213111
54024114040041
6243400345141
733614412364
oct7367504725
92530024607
101004440021
11475a86722
122404751b1
13130133110
14975857db
155d2abcd1
hex3bde89d5

1004440021 has 16 divisors (see below), whose sum is σ = 1130088960. Its totient is φ = 886426560.

The previous prime is 1004440007. The next prime is 1004440033. The reversal of 1004440021 is 1200444001.

It is a cyclic number.

It is not a de Polignac number, because 1004440021 - 227 = 870222293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004439977 and 1004440004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18435 + ... + 48463.

It is an arithmetic number, because the mean of its divisors is an integer number (70630560).

Almost surely, 21004440021 is an apocalyptic number.

It is an amenable number.

1004440021 is a deficient number, since it is larger than the sum of its proper divisors (125648939).

1004440021 is a wasteful number, since it uses less digits than its factorization.

1004440021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30156.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1004440021 is about 31692.9017447125. The cubic root of 1004440021 is about 1001.4778219664.

Adding to 1004440021 its reverse (1200444001), we get a palindrome (2204884022).

The spelling of 1004440021 in words is "one billion, four million, four hundred forty thousand, twenty-one".

Divisors: 1 13 31 83 403 1079 2573 30029 33449 390377 930899 2492407 12101687 32401291 77264617 1004440021