Search a number
-
+
1006224040521 = 327231539145119
BaseRepresentation
bin11101010010001111010…
…00000110001001001001
310120012020111001102222100
432221013220012021021
5112441221323244041
62050130345144013
7132461112136530
oct16510750061111
93505214042870
101006224040521
11358812269737
1214301a48b009
1373b6a8b815b
14369b6cd5317
151b292da66b6
hexea47a06249

1006224040521 has 48 divisors (see below), whose sum is σ = 1733439651840. Its totient is φ = 549937887840.

The previous prime is 1006224040501. The next prime is 1006224040537. The reversal of 1006224040521 is 1250404226001.

1006224040521 is a `hidden beast` number, since 1 + 0 + 0 + 62 + 2 + 40 + 40 + 521 = 666.

It is not a de Polignac number, because 1006224040521 - 29 = 1006224040009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006224040501) 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 47 ways as a sum of consecutive naturals, for example, 22279000 + ... + 22324118.

It is an arithmetic number, because the mean of its divisors is an integer number (36113326080).

Almost surely, 21006224040521 is an apocalyptic number.

It is an amenable number.

1006224040521 is a deficient number, since it is larger than the sum of its proper divisors (727215611319).

1006224040521 is a wasteful number, since it uses less digits than its factorization.

1006224040521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60546 (or 60543 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1006224040521 its reverse (1250404226001), we get a palindrome (2256628266522).

The spelling of 1006224040521 in words is "one trillion, six billion, two hundred twenty-four million, forty thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 15391 45119 46173 107737 135357 138519 315833 323211 353993 406071 947499 969633 1037737 1061979 2477951 2842497 3113211 3185937 7264159 7433853 9339633 21792477 22301559 65377431 694426529 2083279587 4860985703 6249838761 14582957109 15971810167 43748871327 47915430501 111802671169 143746291503 335408013507 1006224040521