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4240442565 = 325193488249
BaseRepresentation
bin1111110011000000…
…0000010011000101
3101221112010210122100
43330300000103011
532141023130230
61540435222313
7210040111212
oct37460002305
911845123570
104240442565
11188668a297
129a4147999
13527698b18
142c3262b09
1519c41c660
hexfcc004c5

4240442565 has 24 divisors (see below), whose sum is σ = 7388199000. Its totient is φ = 2249846784.

The previous prime is 4240442561. The next prime is 4240442567. The reversal of 4240442565 is 5652440424.

It can be written as a sum of positive squares in 4 ways, for example, as 326814084 + 3913628481 = 18078^2 + 62559^2 .

It is not a de Polignac number, because 4240442565 - 22 = 4240442561 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240442561) 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 23 ways as a sum of consecutive naturals, for example, 235440 + ... + 252809.

It is an arithmetic number, because the mean of its divisors is an integer number (307841625).

Almost surely, 24240442565 is an apocalyptic number.

4240442565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4240442565 is a deficient number, since it is larger than the sum of its proper divisors (3147756435).

4240442565 is a wasteful number, since it uses less digits than its factorization.

4240442565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488453 (or 488450 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4240442565 is about 65118.6806147053. The cubic root of 4240442565 is about 1618.5907783744.

Adding to 4240442565 its reverse (5652440424), we get a palindrome (9892882989).

The spelling of 4240442565 in words is "four billion, two hundred forty million, four hundred forty-two thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 193 579 965 1737 2895 8685 488249 1464747 2441245 4394241 7323735 21971205 94232057 282696171 471160285 848088513 1413480855 4240442565