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4042440022833 = 325366611272289
BaseRepresentation
bin111010110100110100001…
…100111001101100110001
3112022110020121002020111200
4322310310030321230301
51012212404121212313
612333023223001413
7565025301152112
oct72646414715461
915273217066450
104042440022833
111319431008a03
12553550b99269
1323427b53a994
14dd9259c8209
1570246cc1b73
hex3ad34339b31

4042440022833 has 24 divisors (see below), whose sum is σ = 5950149177960. Its totient is φ = 2643712680960.

The previous prime is 4042440022769. The next prime is 4042440022903. The reversal of 4042440022833 is 3382200442404.

4042440022833 is a `hidden beast` number, since 4 + 0 + 4 + 24 + 400 + 228 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1750813251489 + 2291626771344 = 1323183^2 + 1513812^2 .

It is not a de Polignac number, because 4042440022833 - 26 = 4042440022769 is a prime.

It is a super-2 number, since 2×40424400228332 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042440022133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2541153 + ... + 3813441.

It is an arithmetic number, because the mean of its divisors is an integer number (247922882415).

Almost surely, 24042440022833 is an apocalyptic number.

It is an amenable number.

4042440022833 is a deficient number, since it is larger than the sum of its proper divisors (1907709155127).

4042440022833 is a wasteful number, since it uses less digits than its factorization.

4042440022833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279009 (or 1279006 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4042440022833 in words is "four trillion, forty-two billion, four hundred forty million, twenty-two thousand, eight hundred thirty-three".

Divisors: 1 3 9 53 159 477 6661 19983 59949 353033 1059099 1272289 3177297 3816867 11450601 67431317 202293951 606881853 8474717029 25424151087 76272453261 449160002537 1347480007611 4042440022833