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6040040321 = 7319372677
BaseRepresentation
bin1011010000000001…
…11011001110000001
3120120221101211200002
411220000323032001
544332222242241
62435203005345
7302451332000
oct55000731601
916527354602
106040040321
11261a499767
121206969855
13753477a73
14414272c37
152553e689b
hex16803b381

6040040321 has 48 divisors (see below), whose sum is σ = 7631568000. Its totient is φ = 4765086144.

The previous prime is 6040040287. The next prime is 6040040401. The reversal of 6040040321 is 1230400406.

It is a happy number.

6040040321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6040040321 - 210 = 6040039297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6040040293 and 6040040302.

It is not an unprimeable number, because it can be changed into a prime (6040040621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8921435 + ... + 8922111.

It is an arithmetic number, because the mean of its divisors is an integer number (158991000).

Almost surely, 26040040321 is an apocalyptic number.

It is an amenable number.

6040040321 is a deficient number, since it is larger than the sum of its proper divisors (1591527679).

6040040321 is an equidigital number, since it uses as much as digits as its factorization.

6040040321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6040040321 is about 77717.6963181488. The cubic root of 6040040321 is about 1821.1537506980.

Adding to 6040040321 its reverse (1230400406), we get a palindrome (7270440727).

The spelling of 6040040321 in words is "six billion, forty million, forty thousand, three hundred twenty-one".

Divisors: 1 7 19 37 49 133 259 343 677 703 931 1369 1813 4739 4921 6517 9583 12691 12863 25049 26011 33173 34447 67081 90041 175343 182077 232211 241129 469567 475931 630287 926813 1227401 1274539 3331517 4412009 6487691 8591807 8921773 17609447 23320619 45413837 123266129 163244333 317896859 862862903 6040040321