Search a number
-
+
3454115510241 = 341125791503169
BaseRepresentation
bin110010010000111001010…
…100111111011111100001
3110020012200020201101210000
4302100321110333133201
5423043012032311431
611202444310530213
7504360126256014
oct62207124773741
913205606641700
103454115510241
11111197817a960
12479520366969
131c094c743b06
14bd27420b37b
155ecb1e729e6
hex3243953f7e1

3454115510241 has 40 divisors (see below), whose sum is σ = 5631115327200. Its totient is φ = 2092590236160.

The previous prime is 3454115510239. The next prime is 3454115510257. The reversal of 3454115510241 is 1420155114543.

3454115510241 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 115 + 510 + 24 + 1 = 666.

It is not a de Polignac number, because 3454115510241 - 21 = 3454115510239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3454115510196 and 3454115510205.

It is not an unprimeable number, because it can be changed into a prime (3454115510441) 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 39 ways as a sum of consecutive naturals, for example, 1546305 + ... + 3049473.

It is an arithmetic number, because the mean of its divisors is an integer number (140777883180).

Almost surely, 23454115510241 is an apocalyptic number.

It is an amenable number.

3454115510241 is a deficient number, since it is larger than the sum of its proper divisors (2176999816959).

3454115510241 is a wasteful number, since it uses less digits than its factorization.

3454115510241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505771 (or 1505762 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 3454115510241 in words is "three trillion, four hundred fifty-four billion, one hundred fifteen million, five hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 2579 7737 23211 28369 69633 85107 208899 255321 765963 1503169 2297889 4509507 13528521 16534859 40585563 49604577 121756689 148813731 446441193 1339323579 3876672851 11630018553 34890055659 42643401361 104670166977 127930204083 314010500931 383790612249 1151371836747 3454115510241