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4023003013434 = 2321839712148729
BaseRepresentation
bin111010100010101101101…
…010100110000100111010
3112020121001222220212011200
4322202231222212010322
51011403102232412214
612320050404235030
7563436523253166
oct72425552460472
915217058825150
104023003013434
11131116735a079
1254b82769ba76
132324a16a13a2
14dca003b3ca6
156e9aa6b2d09
hex3a8adaa613a

4023003013434 has 24 divisors (see below), whose sum is σ = 8716981047060. Its totient is φ = 1340928001728.

The previous prime is 4023003013429. The next prime is 4023003013441. The reversal of 4023003013434 is 4343103003204.

4023003013434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3851221777209 + 171781236225 = 1962453^2 + 414465^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4023003013398 and 4023003013407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5743219 + ... + 6405510.

Almost surely, 24023003013434 is an apocalyptic number.

4023003013434 is an abundant number, since it is smaller than the sum of its proper divisors (4693978033626).

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

4023003013434 is a wasteful number, since it uses less digits than its factorization.

4023003013434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12167134 (or 12167131 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4023003013434 its reverse (4343103003204), we get a palindrome (8366106016638).

The spelling of 4023003013434 in words is "four trillion, twenty-three billion, three million, thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 18397 36794 55191 110382 165573 331146 12148729 24297458 36446187 72892374 109338561 218677122 223500167413 447000334826 670500502239 1341001004478 2011501506717 4023003013434