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404040000444 = 223371019009901
BaseRepresentation
bin1011110000100101010…
…10010010001110111100
31102121220020112122201220
411320102222102032330
523104433220003234
6505340255233340
741122326223653
oct5702252221674
91377806478656
10404040000444
11146397057543
1266380218850
132c140626852
14157ac96a19a
15a79b420a49
hex5e12a923bc

404040000444 has 48 divisors (see below), whose sum is σ = 977826644256. Its totient is φ = 129742560000.

The previous prime is 404040000421. The next prime is 404040000451. The reversal of 404040000444 is 444000040404.

It is a congruent number.

It is an unprimeable number.

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, 4460107 + ... + 4549794.

It is an arithmetic number, because the mean of its divisors is an integer number (20371388422).

Almost surely, 2404040000444 is an apocalyptic number.

It is an amenable number.

404040000444 is an abundant number, since it is smaller than the sum of its proper divisors (573786643812).

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

404040000444 is a wasteful number, since it uses less digits than its factorization.

404040000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010046 (or 9010044 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404040000444 its reverse (444000040404), we get a palindrome (848040040848).

The spelling of 404040000444 in words is "four hundred four billion, forty million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 74 101 111 148 202 222 303 404 444 606 1212 3737 7474 11211 14948 22422 44844 9009901 18019802 27029703 36039604 54059406 108118812 333366337 666732674 910000001 1000099011 1333465348 1820000002 2000198022 2730000003 3640000004 4000396044 5460000006 10920000012 33670000037 67340000074 101010000111 134680000148 202020000222 404040000444