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20441324440 = 2353373151507
BaseRepresentation
bin10011000010011001…
…011101101110011000
31221202120221212120101
4103002121131232120
5313330434340230
613220212305144
71322361251035
oct230231355630
957676855511
1020441324440
11873a65a669
123b659121b4
131c09c57864
14dbcb6638c
157e9893aca
hex4c265db98

20441324440 has 32 divisors (see below), whose sum is σ = 46006919280. Its totient is φ = 8174051712.

The previous prime is 20441324437. The next prime is 20441324461. The reversal of 20441324440 is 4442314402.

It is a super-2 number, since 2×204413244402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20441324399 and 20441324408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59167 + ... + 210673.

Almost surely, 220441324440 is an apocalyptic number.

20441324440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441324440 is an abundant number, since it is smaller than the sum of its proper divisors (25565594840).

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

20441324440 is a wasteful number, since it uses less digits than its factorization.

20441324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154891 (or 154887 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20441324440 its reverse (4442314402), we get a palindrome (24883638842).

The spelling of 20441324440 in words is "twenty billion, four hundred forty-one million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3373 6746 13492 16865 26984 33730 67460 134920 151507 303014 606028 757535 1212056 1515070 3030140 6060280 511033111 1022066222 2044132444 2555165555 4088264888 5110331110 10220662220 20441324440