Search a number
-
+
4023321430331 = 721972273675003
BaseRepresentation
bin111010100011000000101…
…001010000100100111011
3112020121220012002010001002
4322203000221100210323
51011404230241232311
612320142141115215
7563450440616300
oct72430051204473
915217805063032
104023321430331
111311310072435
1254b8b6258b0b
13232522649b58
14dca307bd0a7
156e9c860d93b
hex3a8c0a5093b

4023321430331 has 48 divisors (see below), whose sum is σ = 4738490482176. Its totient is φ = 3405952396224.

The previous prime is 4023321430301. The next prime is 4023321430357. The reversal of 4023321430331 is 1330341233204.

It is a de Polignac number, because none of the positive numbers 2k-4023321430331 is a prime.

It is a super-2 number, since 2×40233214303312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4023321430294 and 4023321430303.

It is not an unprimeable number, because it can be changed into a prime (4023321430301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804179276 + ... + 804184278.

It is an arithmetic number, because the mean of its divisors is an integer number (98718551712).

Almost surely, 24023321430331 is an apocalyptic number.

4023321430331 is a deficient number, since it is larger than the sum of its proper divisors (715169051845).

4023321430331 is a wasteful number, since it uses less digits than its factorization.

4023321430331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 4023321430331 its reverse (1330341233204), we get a palindrome (5353662663535).

The spelling of 4023321430331 in words is "four trillion, twenty-three billion, three hundred twenty-one million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 49 197 227 367 1379 1589 2569 5003 9653 11123 17983 35021 44719 72299 83309 245147 313033 506093 583163 985591 1135681 1836101 2191231 3542651 4082141 6899137 7949767 12852707 16411873 48293959 55648369 89968949 114883111 223729157 361711897 416794927 804181777 1566104099 2531983279 2917564489 10962728693 17723882953 20422951423 82108600619 574760204333 4023321430331