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334510424145 = 32561565321557
BaseRepresentation
bin1001101111000100110…
…00000000000001010001
31011222102121101012212100
410313202120000001101
520440034132033040
6413401051151013
733111323455662
oct4674230000121
91158377335770
10334510424145
11119957460797
12549b6a45469
132570c7aa121
141229460b369
158a7c284b30
hex4de2600051

334510424145 has 48 divisors (see below), whose sum is σ = 589454875152. Its totient is φ = 175441697280.

The previous prime is 334510424113. The next prime is 334510424159. The reversal of 334510424145 is 541424015433.

It can be written as a sum of positive squares in 8 ways, for example, as 64638486081 + 269871938064 = 254241^2 + 519492^2 .

It is not a de Polignac number, because 334510424145 - 25 = 334510424113 is a prime.

It is a super-2 number, since 2×3345104241452 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15506707 + ... + 15528263.

It is an arithmetic number, because the mean of its divisors is an integer number (12280309899).

Almost surely, 2334510424145 is an apocalyptic number.

It is an amenable number.

334510424145 is a deficient number, since it is larger than the sum of its proper divisors (254944451007).

334510424145 is a wasteful number, since it uses less digits than its factorization.

334510424145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282 (or 27279 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 334510424145 its reverse (541424015433), we get a palindrome (875934439578).

The spelling of 334510424145 in words is "three hundred thirty-four billion, five hundred ten million, four hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 5653 16959 21557 28265 50877 64671 84795 107785 194013 254385 323355 344833 970065 1034499 1314977 1724165 3103497 3944931 5172495 6574885 11834793 15517485 19724655 59173965 121861721 365585163 609308605 1096755489 1827925815 5483777445 7433564981 22300694943 37167824905 66902084829 111503474715 334510424145