Search a number
-
+
334023262320433 = 7232074678647953
BaseRepresentation
bin100101111110010101101100…
…1111001011011011100110001
31121210200022102110111100211211
41023330223121321123130301
5322240114120123223213
63142224100205440121
7130233245552506540
oct11374533171333461
91553608373440754
10334023262320433
119748051967a854
1231567b42870041
131144c348b6612a
145c6ab527b6157
152893aa196c53d
hex12fcad9e5b731

334023262320433 has 8 divisors (see below), whose sum is σ = 398338300407168. Its totient is φ = 273857581529664.

The previous prime is 334023262320413. The next prime is 334023262320521.

334023262320433 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 334023262320433 - 25 = 334023262320401 is a prime.

It is a super-5 number, since 5×3340232623204335 (a number of 74 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334023262320413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037339323816 + ... + 1037339324137.

It is an arithmetic number, because the mean of its divisors is an integer number (49792287550896).

Almost surely, 2334023262320433 is an apocalyptic number.

It is an amenable number.

334023262320433 is a deficient number, since it is larger than the sum of its proper divisors (64315038086735).

334023262320433 is a wasteful number, since it uses less digits than its factorization.

334023262320433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074678647983.

The product of its (nonzero) digits is 1119744, while the sum is 40.

The spelling of 334023262320433 in words is "three hundred thirty-four trillion, twenty-three billion, two hundred sixty-two million, three hundred twenty thousand, four hundred thirty-three".

Divisors: 1 7 23 161 2074678647953 14522750535671 47717608902919 334023262320433