Search a number
-
+
3442232041401 = 331173271178919
BaseRepresentation
bin110010000101110101000…
…001001001111110111001
3110012002000001212122010110
4302011311001021332321
5422344142400311101
611153201202534533
7503456501405166
oct62056501117671
913162001778113
103442232041401
11110792a28092a
12477164667449
131bc7a779034a
14bc867c8506d
155e818a6ecd6
hex32175049fb9

3442232041401 has 32 divisors (see below), whose sum is σ = 4766899322880. Its totient is φ = 2207115489600.

The previous prime is 3442232041373. The next prime is 3442232041421. The reversal of 3442232041401 is 1041402322443.

3442232041401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3442232041401 - 27 = 3442232041273 is a prime.

It is a super-2 number, since 2×34422320414012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3442232041421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43577820 + ... + 43656738.

It is an arithmetic number, because the mean of its divisors is an integer number (148965603840).

Almost surely, 23442232041401 is an apocalyptic number.

3442232041401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3442232041401 is a deficient number, since it is larger than the sum of its proper divisors (1324667281479).

3442232041401 is a wasteful number, since it uses less digits than its factorization.

3442232041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81837.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3442232041401 its reverse (1041402322443), we get a palindrome (4483634363844).

The spelling of 3442232041401 in words is "three trillion, four hundred forty-two billion, two hundred thirty-two million, forty-one thousand, four hundred one".

Divisors: 1 3 31 93 173 519 2711 5363 8133 16089 78919 84041 236757 252123 469003 1407009 2446489 7339467 13652987 14539093 40958961 43617279 213949409 423242597 641848227 1269727791 6632431679 19897295037 37013247757 111039743271 1147410680467 3442232041401