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20440020321 = 327412257751
BaseRepresentation
bin10011000010010100…
…011111010101100001
31221202111111121122200
4103002110133111201
5313330121122241
613220124323413
71322344206660
oct230224372541
957674447580
1020440020321
118739949886
123b653a3569
131c098bc0a6
14dbc906dd7
157e96d74b6
hex4c251f561

20440020321 has 72 divisors (see below), whose sum is σ = 34766115072. Its totient is φ = 11335680000.

The previous prime is 20440020301. The next prime is 20440020347. The reversal of 20440020321 is 12302004402.

20440020321 is a `hidden beast` number, since 2 + 0 + 440 + 0 + 203 + 21 = 666.

It is not a de Polignac number, because 20440020321 - 210 = 20440019297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20440020294 and 20440020303.

It is not an unprimeable number, because it can be changed into a prime (20440020301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27216696 + ... + 27217446.

Almost surely, 220440020321 is an apocalyptic number.

20440020321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20440020321 is a deficient number, since it is larger than the sum of its proper divisors (14326094751).

20440020321 is a wasteful number, since it uses less digits than its factorization.

20440020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20440020321 its reverse (12302004402), we get a palindrome (32742024723).

The spelling of 20440020321 in words is "twenty billion, four hundred forty million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 41 63 123 257 287 369 751 771 861 1681 1799 2253 2313 2583 5043 5257 5397 6759 10537 11767 15129 15771 16191 30791 31611 35301 47313 73759 92373 94833 105903 193007 215537 221277 277119 432017 579021 646611 663831 1262431 1296051 1351049 1737063 1939833 3024119 3787293 3888153 4053147 7913287 8837017 9072357 11361879 12159441 23739861 26511051 27217071 55393009 71219583 79533153 166179027 324444767 498537081 973334301 2271113369 2920002903 6813340107 20440020321