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3435214125343 = 7112131013088913
BaseRepresentation
bin110001111111010010101…
…101111011100100011111
3110011101212222102120010111
4301333102231323210133
5422240304304002333
611150040544350451
7503120544166420
oct61772255734437
913141788376114
103435214125343
1111049588aa700
12475926315427
131bbc298536b0
14bc39dbc3647
155e5578b74cd
hex31fd2b7b91f

3435214125343 has 48 divisors (see below), whose sum is σ = 4693271220288. Its totient is φ = 2446418304000.

The previous prime is 3435214125337. The next prime is 3435214125353.

3435214125343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3435214125343 - 229 = 3434677254431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3435214125296 and 3435214125305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435214125353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432346 + ... + 2656567.

It is an arithmetic number, because the mean of its divisors is an integer number (97776483756).

Almost surely, 23435214125343 is an apocalyptic number.

3435214125343 is a deficient number, since it is larger than the sum of its proper divisors (1258057094945).

3435214125343 is a wasteful number, since it uses less digits than its factorization.

3435214125343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089056 (or 3089045 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 3435214125343 in words is "three trillion, four hundred thirty-five billion, two hundred fourteen million, one hundred twenty-five thousand, three hundred forty-three".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 11011 12221 14443 85547 101101 158873 1112111 3088913 21622391 33978043 40155869 237846301 281091083 311980213 373758473 441714559 2183861491 2616309311 3092001913 3431782343 4055742769 4858860149 24022476401 28390199383 34012021043 37749605773 44613170459 264247240411 312292193213 490744875049 3435214125343