Search a number
-
+
4022444322321 = 31378197294447
BaseRepresentation
bin111010100010001100010…
…111010110111000010001
3112020112122001122102001020
4322202030113112320101
51011400431221303241
612315515125430053
7563416630413135
oct72421427267021
915215561572036
104022444322321
1113109aaa56187
1254b6b056b329
13232412a0a029
14dc98a1013c5
156e976604b66
hex3a88c5d6e11

4022444322321 has 8 divisors (see below), whose sum is σ = 5363648329344. Its totient is φ = 2681434931760.

The previous prime is 4022444322313. The next prime is 4022444322331. The reversal of 4022444322321 is 1232234442204.

It is a happy number.

4022444322321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4022444322321 - 23 = 4022444322313 is a prime.

It is a super-3 number, since 3×40224443223213 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4022444322331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48605881 + ... + 48688566.

It is an arithmetic number, because the mean of its divisors is an integer number (670456041168).

Almost surely, 24022444322321 is an apocalyptic number.

It is an amenable number.

4022444322321 is a deficient number, since it is larger than the sum of its proper divisors (1341204007023).

4022444322321 is a wasteful number, since it uses less digits than its factorization.

4022444322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97308231.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4022444322321 its reverse (1232234442204), we get a palindrome (5254678764525).

The spelling of 4022444322321 in words is "four trillion, twenty-two billion, four hundred forty-four million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 13781 41343 97294447 291883341 1340814774107 4022444322321