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334411114433 = 112310113086961
BaseRepresentation
bin1001101110111000111…
…01001010011111000001
31011222011200111202112212
410313130131022133001
520434333221130213
6413343142431505
733106006400204
oct4673435123701
91158150452485
10334411114433
111199063a0950
1254989732595
13256c5048896
141228535993b
158a736b99a8
hex4ddc74a7c1

334411114433 has 16 divisors (see below), whose sum is σ = 384442595712. Its totient is φ = 287913120000.

The previous prime is 334411114397. The next prime is 334411114451.

334411114433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334411114433 - 26 = 334411114369 is a prime.

It is a super-2 number, since 2×3344111144332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 334411114433.

It is not an unprimeable number, because it can be changed into a prime (334411110433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6517928 + ... + 6569033.

It is an arithmetic number, because the mean of its divisors is an integer number (24027662232).

Almost surely, 2334411114433 is an apocalyptic number.

It is an amenable number.

334411114433 is a deficient number, since it is larger than the sum of its proper divisors (50031481279).

334411114433 is a wasteful number, since it uses less digits than its factorization.

334411114433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13087096.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 334411 and 114433, that added together give a palindrome (448844).

The spelling of 334411114433 in words is "three hundred thirty-four billion, four hundred eleven million, one hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 11 23 101 253 1111 2323 25553 13086961 143956571 301000103 1321783061 3311001133 14539613671 30401010403 334411114433