Search a number
-
+
3405254224001 = 7736779843283
BaseRepresentation
bin110001100011011000111…
…101111110100010000001
3110001112120000120212202212
4301203120331332202001
5421242430040132001
611124204023551505
7501010242216320
oct61433075764201
913045500525685
103405254224001
1110a3184264363
1246bb648bb595
131b916388b016
14bab5ac160b7
155d8a255e7bb
hex318d8f7e881

3405254224001 has 16 divisors (see below), whose sum is σ = 3950857958784. Its totient is φ = 2874553329024.

The previous prime is 3405254223989. The next prime is 3405254224033. The reversal of 3405254224001 is 1004224525043.

3405254224001 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3405254224001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3405254223001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575695 + ... + 5267588.

It is an arithmetic number, because the mean of its divisors is an integer number (246928622424).

Almost surely, 23405254224001 is an apocalyptic number.

It is an amenable number.

3405254224001 is a deficient number, since it is larger than the sum of its proper divisors (545603734783).

3405254224001 is an equidigital number, since it uses as much as digits as its factorization.

3405254224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844040.

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 3405254224001 its reverse (1004224525043), we get a palindrome (4409478749044).

The spelling of 3405254224001 in words is "three trillion, four hundred five billion, two hundred fifty-four million, two hundred twenty-four thousand, one".

Divisors: 1 7 73 511 677 4739 49421 345947 9843283 68902981 718559659 5029917613 6663902591 46647318137 486464889143 3405254224001