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4055340465 = 335112730869
BaseRepresentation
bin1111000110110111…
…1001010110110001
3101110121211122022000
43301231321112301
531301131343330
61510224004213
7202331553021
oct36155712661
911417748260
104055340465
1117a1152350
12952160669
134c8229857
142a683ba81
1518b057560
hexf1b795b1

4055340465 has 32 divisors (see below), whose sum is σ = 7864905600. Its totient is φ = 1966224960.

The previous prime is 4055340439. The next prime is 4055340479. The reversal of 4055340465 is 5640435504.

4055340465 is a `hidden beast` number, since 4 + 0 + 553 + 40 + 4 + 65 = 666.

It is not a de Polignac number, because 4055340465 - 213 = 4055332273 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 1363950 + ... + 1366919.

It is an arithmetic number, because the mean of its divisors is an integer number (245778300).

Almost surely, 24055340465 is an apocalyptic number.

4055340465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4055340465 is a deficient number, since it is larger than the sum of its proper divisors (3809565135).

4055340465 is a wasteful number, since it uses less digits than its factorization.

4055340465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730894 (or 2730888 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4055340465 is about 63681.5551396164. Note that the first 3 decimals coincide. The cubic root of 4055340465 is about 1594.6881745476.

Adding to 4055340465 its reverse (5640435504), we get a palindrome (9695775969).

It can be divided in two parts, 40553 and 40465, that added together give a palindrome (81018).

The spelling of 4055340465 in words is "four billion, fifty-five million, three hundred forty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 2730869 8192607 13654345 24577821 30039559 40963035 73733463 90118677 122889105 150197795 270356031 368667315 450593385 811068093 1351780155 4055340465