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4005341014233 = 3131091496323567
BaseRepresentation
bin111010010010010000111…
…011011010100011011001
3112011220111002202100002010
4322102100323122203121
51011110414244423413
612304010034300133
7562243040611146
oct72222073324331
915156432670063
104005341014233
111304723646719
12548318727649
132309184b54a0
14dbc0680d3cd
156e2c4d22dc3
hex3a490eda8d9

4005341014233 has 32 divisors (see below), whose sum is σ = 5842976832000. Its totient is φ = 2425821094656.

The previous prime is 4005341014231. The next prime is 4005341014243. The reversal of 4005341014233 is 3324101435004.

4005341014233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4005341014233 - 21 = 4005341014231 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005341014233.

It is not an unprimeable number, because it can be changed into a prime (4005341014231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2528385 + ... + 3795182.

It is an arithmetic number, because the mean of its divisors is an integer number (182593026000).

Almost surely, 24005341014233 is an apocalyptic number.

It is an amenable number.

4005341014233 is a deficient number, since it is larger than the sum of its proper divisors (1837635817767).

4005341014233 is a wasteful number, since it uses less digits than its factorization.

4005341014233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323841.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 4005341014233 its reverse (3324101435004), we get a palindrome (7329442449237).

The spelling of 4005341014233 in words is "four trillion, five billion, three hundred forty-one million, fourteen thousand, two hundred thirty-three".

Divisors: 1 3 13 39 109 149 327 447 1417 1937 4251 5811 16241 48723 211133 633399 6323567 18970701 82206371 246619113 689268803 942211483 2067806409 2826634449 8960494439 12248749279 26881483317 36746247837 102701051647 308103154941 1335113671411 4005341014233