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334311101113433 = 685792861525029
BaseRepresentation
bin100110000000011011101111…
…0011011010010010001011001
31121211200211101102222001210212
41030000313132123102101121
5322304323113341112213
63143004222154020505
7130263115511051213
oct11400673633222131
91554624342861725
10334311101113433
11975815a6119254
12315b3893417735
131147052b309262
145c7aa5a7355b3
15289b2eb6659a8
hex1300dde6d2459

334311101113433 has 8 divisors (see below), whose sum is σ = 334364093327880. Its totient is φ = 334258110148480.

The previous prime is 334311101113421. The next prime is 334311101113441.

334311101113433 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 50202142110409 + 284108959003024 = 7085347^2 + 16855532^2 .

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 334311101113433 - 216 = 334311101047897 is a prime.

It is a super-2 number, since 2×3343111011134332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 334311101113433.

It is not an unprimeable number, because it can be changed into a prime (334311101113453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636485363 + ... + 637010391.

It is an arithmetic number, because the mean of its divisors is an integer number (41795511665985).

Almost surely, 2334311101113433 is an apocalyptic number.

It is an amenable number.

334311101113433 is a deficient number, since it is larger than the sum of its proper divisors (52992214447).

334311101113433 is an equidigital number, since it uses as much as digits as its factorization.

334311101113433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624747.

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 33431110 and 1113433, that added together give a palindrome (34544543).

The spelling of 334311101113433 in words is "three hundred thirty-four trillion, three hundred eleven billion, one hundred one million, one hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 6857 92861 525029 636747877 3600123853 48754717969 334311101113433