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82141014128 = 2434914710067
BaseRepresentation
bin100110001111111111…
…1000110100001110000
321212000112210212020112
41030133333012201300
52321211044423003
6101422435000452
75635350046205
oct1143777064160
9255015725215
1082141014128
1131921508748
1213b04a39128
137990882c94
143d9325dcac
15220b4383d8
hex131ffc6870

82141014128 has 20 divisors (see below), whose sum is σ = 159604237800. Its totient is φ = 40952823744.

The previous prime is 82141014119. The next prime is 82141014139.

82141014128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82141014094 and 82141014103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7349450 + ... + 7360617.

It is an arithmetic number, because the mean of its divisors is an integer number (7980211890).

Almost surely, 282141014128 is an apocalyptic number.

It is an amenable number.

82141014128 is a deficient number, since it is larger than the sum of its proper divisors (77463223672).

82141014128 is a wasteful number, since it uses less digits than its factorization.

82141014128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14710424 (or 14710418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

It can be divided in two parts, 821410 and 14128, that added together give a palindrome (835538).

The spelling of 82141014128 in words is "eighty-two billion, one hundred forty-one million, fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 349 698 1396 2792 5584 14710067 29420134 58840268 117680536 235361072 5133813383 10267626766 20535253532 41070507064 82141014128