Search a number
-
+
32341311314321 = 17411131153356137
BaseRepresentation
bin1110101101010000011000…
…10111110101100110010001
311020111210120120222211202212
413112220030113311212101
513214340001144024241
6152441220542121505
76545403562243352
oct726501427654621
9136453516884685
1032341311314321
11a339967112019
123763b67880295
131507a074515b9
147db483773d29
153b1412124beb
hex1d6a0c5f5991

32341311314321 has 32 divisors (see below), whose sum is σ = 35420180590368. Its totient is φ = 29408058408960.

The previous prime is 32341311314173. The next prime is 32341311314339. The reversal of 32341311314321 is 12341311314323.

It can be written as a sum of positive squares in 16 ways, for example, as 6559289554321 + 25782021760000 = 2561111^2 + 5077600^2 .

It is a cyclic number.

It is not a de Polignac number, because 32341311314321 - 242 = 27943264803217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32341311314381) 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, 90633365 + ... + 90989501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106880643449).

Almost surely, 232341311314321 is an apocalyptic number.

It is an amenable number.

32341311314321 is a deficient number, since it is larger than the sum of its proper divisors (3078869276047).

32341311314321 is a wasteful number, since it uses less digits than its factorization.

32341311314321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357461.

The product of its digits is 15552, while the sum is 32.

Adding to 32341311314321 its reverse (12341311314323), we get a palindrome (44682622628644).

The spelling of 32341311314321 in words is "thirty-two trillion, three hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 17 41 113 697 1153 1921 4633 19601 47273 78761 130289 356137 803641 2214913 5341849 6054329 14601617 40243481 90811433 248227489 410625961 684139177 1649982721 6980641337 16835664401 28049706257 46400733593 286206294817 788812471081 1902430077313 32341311314321