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331340120234334 = 232173892783575451
BaseRepresentation
bin100101101010110100010001…
…0001010101001100101011110
31121110011210202200021212120100
41023111220202022221211132
5321412134031234444314
63132411314435001530
7126535351030210131
oct11325504212514536
91543153680255510
10331340120234334
1196636612942622
12311b3b27a392a6
13112b631589a513
145bb6d398b6218
152848db4894c09
hex12d5a222a995e

331340120234334 has 48 divisors (see below), whose sum is σ = 762087287248560. Its totient is φ = 103682618361600.

The previous prime is 331340120234327. The next prime is 331340120234377. The reversal of 331340120234334 is 433432021043133.

331340120234334 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 401 + 202 + 3 + 43 + 3 + 4 = 666.

It is a super-2 number, since 2×3313401202343342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1391668692 + ... + 1391906759.

It is an arithmetic number, because the mean of its divisors is an integer number (15876818484345).

Almost surely, 2331340120234334 is an apocalyptic number.

331340120234334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

331340120234334 is an abundant number, since it is smaller than the sum of its proper divisors (430747167014226).

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

331340120234334 is a wasteful number, since it uses less digits than its factorization.

331340120234334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783575865 (or 2783575862 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 331340120234334 its reverse (433432021043133), we get a palindrome (764772141277467).

The spelling of 331340120234334 in words is "three hundred thirty-one trillion, three hundred forty billion, one hundred twenty million, two hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 389 778 1167 2334 3501 6613 7002 13226 19839 39678 59517 119034 2783575451 5567150902 8350726353 16701452706 25052179059 47320782667 50104358118 94641565334 141962348001 283924696002 425887044003 851774088006 1082810850439 2165621700878 3248432551317 6496865102634 9745297653951 18407784457463 19490595307902 36815568914926 55223353372389 110446706744778 165670060117167 331340120234334