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3414884143 = 1133182763
BaseRepresentation
bin1100101110001010…
…1111111100101111
322210222201002101111
43023202233330233
523443202243033
61322504452451
7150424015306
oct31342577457
98728632344
103414884143
1114a2682000
127b377a127
13425637808
1424576343d
1514ebe77cd
hexcb8aff2f

3414884143 has 16 divisors (see below), whose sum is σ = 3877327872. Its totient is φ = 3004260600.

The previous prime is 3414884141. The next prime is 3414884147.

3414884143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3414884143 - 21 = 3414884141 is a prime.

It is a super-2 number, since 2×34148841432 = 23322867420225688898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414884096 and 3414884105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414884141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 82642.

It is an arithmetic number, because the mean of its divisors is an integer number (242332992).

Almost surely, 23414884143 is an apocalyptic number.

3414884143 is a deficient number, since it is larger than the sum of its proper divisors (462443729).

3414884143 is an equidigital number, since it uses as much as digits as its factorization.

3414884143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82827 (or 82805 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 3414884143 is about 58437.0100450049. The cubic root of 3414884143 is about 1505.8856378987.

The spelling of 3414884143 in words is "three billion, four hundred fourteen million, eight hundred eighty-four thousand, one hundred forty-three".

Divisors: 1 11 31 121 341 1331 3751 41261 82763 910393 2565653 10014323 28222183 110157553 310444013 3414884143