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7014429328041 = 326016257207257
BaseRepresentation
bin110011000010010110010…
…0100011000001010101001
3220211120110122021210022100
41212010230210120022221
51404411022401444131
622530215004044013
71322530045350042
oct146045444301251
926746418253270
107014429328041
112264891543043
1295353a233609
133bb5c4b76c65
141a37007498c9
15c26dc38a7e6
hex6612c9182a9

7014429328041 has 24 divisors (see below), whose sum is σ = 10150482933864. Its totient is φ = 4667736729600.

The previous prime is 7014429328007. The next prime is 7014429328057. The reversal of 7014429328041 is 1408239244107.

7014429328041 is a `hidden beast` number, since 7 + 0 + 1 + 44 + 293 + 280 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5111420114025 + 1903009214016 = 2260845^2 + 1379496^2 .

It is not a de Polignac number, because 7014429328041 - 239 = 6464673514153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7014429327041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33740485 + ... + 33947741.

It is an arithmetic number, because the mean of its divisors is an integer number (422936788911).

Almost surely, 27014429328041 is an apocalyptic number.

It is an amenable number.

7014429328041 is a deficient number, since it is larger than the sum of its proper divisors (3136053605823).

7014429328041 is a wasteful number, since it uses less digits than its factorization.

7014429328041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214121 (or 214118 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7014429328041 in words is "seven trillion, fourteen billion, four hundred twenty-nine million, three hundred twenty-eight thousand, forty-one".

Divisors: 1 3 9 601 1803 5409 6257 18771 56313 207257 621771 1865313 3760457 11281371 33844113 124561457 373684371 1121053113 1296807049 3890421147 11671263441 779381036449 2338143109347 7014429328041