Search a number
-
+
321214140024041 = 11375326835550137
BaseRepresentation
bin100100100001001000111111…
…0101101101000010011101001
31120010022202211201001211221102
41021002101332231220103221
5314100233024321232131
63055055423324451145
7124441645555443635
oct11102217655502351
91503282751054842
10321214140024041
119339217400aa30
12300395516a9ab5
1310a304955ca684
145946bc1103dc5
1527207b49721cb
hex124247eb684e9

321214140024041 has 32 divisors (see below), whose sum is σ = 366813149332608. Its totient is φ = 278655900157440.

The previous prime is 321214140024031. The next prime is 321214140024137. The reversal of 321214140024041 is 140420041412123.

It is a cyclic number.

It is not a de Polignac number, because 321214140024041 - 210 = 321214140023017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321214140023995 and 321214140024013.

It is not an unprimeable number, because it can be changed into a prime (321214140024031) 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, 55099925 + ... + 60650061.

It is an arithmetic number, because the mean of its divisors is an integer number (11462910916644).

Almost surely, 2321214140024041 is an apocalyptic number.

It is an amenable number.

321214140024041 is a deficient number, since it is larger than the sum of its proper divisors (45599009308567).

321214140024041 is a wasteful number, since it uses less digits than its factorization.

321214140024041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552921.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 321214140024041 its reverse (140420041412123), we get a palindrome (461634181436164).

The spelling of 321214140024041 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred forty million, twenty-four thousand, forty-one".

Divisors: 1 11 37 53 407 583 1961 2683 21571 29513 99271 142199 1091981 1564189 5261363 5550137 57874993 61051507 205355069 294157261 2258905759 3235729871 10883818657 14891017571 119722005227 163801193281 550967650127 789223931263 6060644151397 8681463243893 29201285456731 321214140024041