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429043340196 = 22321091692
BaseRepresentation
bin1100011111001001111…
…10011101001110100100
31112000102202201220211100
412033210332131032210
524012140043341241
6525033315440100
742666044135142
oct6174476351644
91460382656740
10429043340196
11155a57864799
126b1998b6030
13315c675c243
1416aa1542592
15b2615529b6
hex63e4f9d3a4

429043340196 has 27 divisors (see below), whose sum is σ = 1084536155521. Its totient is φ = 143013136704.

The previous prime is 429043340191. The next prime is 429043340221. The reversal of 429043340196 is 691043340924.

The square root of 429043340196 is 655014.

It is a perfect power (a square), and thus also a powerful number.

429043340196 is a `hidden beast` number, since 4 + 2 + 90 + 433 + 40 + 1 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30629900196 + 398413440000 = 175014^2 + 631200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429043340191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3875500 + ... + 3984668.

Almost surely, 2429043340196 is an apocalyptic number.

429043340196 is the 655014-th square number.

It is an amenable number.

429043340196 is an abundant number, since it is smaller than the sum of its proper divisors (655492815325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429043340196 is an frugal number, since it uses more digits than its factorization.

429043340196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218348 (or 109174 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 429043340196 in words is "four hundred twenty-nine billion, forty-three million, three hundred forty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 109169 218338 327507 436676 655014 982521 1310028 1965042 3930084 11917870561 23835741122 35753611683 47671482244 71507223366 107260835049 143014446732 214521670098 429043340196