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4134442003011 = 33236919634901
BaseRepresentation
bin111100001010011111111…
…100100110101001000011
3112122020201101001002011000
4330022133330212221003
51020214314123044021
612443200400423043
7604463220115425
oct74123774465103
915566641032130
104134442003011
1113544527a9371
12569348317a83
1323cb5104b6c8
14104172738815
157282dca2b26
hex3c29ff26a43

4134442003011 has 32 divisors (see below), whose sum is σ = 6400658096640. Its totient is φ = 2632640076000.

The previous prime is 4134442002979. The next prime is 4134442003049. The reversal of 4134442003011 is 1103002444314.

4134442003011 is a `hidden beast` number, since 4 + 1 + 3 + 444 + 200 + 3 + 0 + 11 = 666.

It is not a de Polignac number, because 4134442003011 - 25 = 4134442002979 is a prime.

It is a super-2 number, since 2×41344420030112 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4134442003051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388340 + ... + 5246561.

It is an arithmetic number, because the mean of its divisors is an integer number (200020565520).

Almost surely, 24134442003011 is an apocalyptic number.

4134442003011 is a deficient number, since it is larger than the sum of its proper divisors (2266216093629).

4134442003011 is a wasteful number, since it uses less digits than its factorization.

4134442003011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635624 (or 9635618 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4134442003011 its reverse (1103002444314), we get a palindrome (5237444447325).

The spelling of 4134442003011 in words is "four trillion, one hundred thirty-four billion, four hundred forty-two million, three thousand, eleven".

Divisors: 1 3 9 23 27 69 207 621 691 2073 6219 15893 18657 47679 143037 429111 9634901 28904703 86714109 221602723 260142327 664808169 1994424507 5983273521 6657716591 19973149773 59919449319 153127481593 179758347957 459382444779 1378147334337 4134442003011