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334113404311433 = 2335923140438241
BaseRepresentation
bin100101111110111111101011…
…0110001110101011110001001
31121210222221002121112222000002
41023331333112301311132021
5322243103223000431213
63142333325021252345
7130242616425005165
oct11375772661653611
91553887077488002
10334113404311433
119750577646287a
12315814bb1040b5
13114579b3211a46
145c712644b5ca5
1528960ca4e5658
hex12fdfd6c75789

334113404311433 has 8 divisors (see below), whose sum is σ = 348641053203456. Its totient is φ = 319585837014400.

The previous prime is 334113404311369. The next prime is 334113404311439.

334113404311433 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 334113404311433 - 26 = 334113404311369 is a prime.

It is a super-2 number, since 2×3341134043114332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334113404311439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11956808 + ... + 28481433.

It is an arithmetic number, because the mean of its divisors is an integer number (43580131650432).

Almost surely, 2334113404311433 is an apocalyptic number.

It is an amenable number.

334113404311433 is a deficient number, since it is larger than the sum of its proper divisors (14527648892023).

334113404311433 is a wasteful number, since it uses less digits than its factorization.

334113404311433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40797495.

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 33411340 and 4311433, that added together give a palindrome (37722773).

The spelling of 334113404311433 in words is "three hundred thirty-four trillion, one hundred thirteen billion, four hundred four million, three hundred eleven thousand, four hundred thirty-three".

Divisors: 1 23 359231 8262313 40438241 930079543 14526669752671 334113404311433