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3442420242443 = 71331713167001
BaseRepresentation
bin110010000110000000001…
…111000101100000001011
3110012002111012000020102102
4302012000033011200023
5422400034040224233
611153232004424015
7503464245161240
oct62060017054013
913162435006372
103442420242443
111107a16535086
124771b76a800b
131bc807776000
14bc884c755c7
155e82a3481e8
hex321803c580b

3442420242443 has 32 divisors (see below), whose sum is σ = 4512594925440. Its totient is φ = 2563456896000.

The previous prime is 3442420242419. The next prime is 3442420242449.

It is a happy number.

3442420242443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3442420242443 - 212 = 3442420238347 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3442420242397 and 3442420242406.

It is not an unprimeable number, because it can be changed into a prime (3442420242449) 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, 6322058 + ... + 6844943.

It is an arithmetic number, because the mean of its divisors is an integer number (141018591420).

Almost surely, 23442420242443 is an apocalyptic number.

3442420242443 is a deficient number, since it is larger than the sum of its proper divisors (1070174682997).

3442420242443 is a wasteful number, since it uses less digits than its factorization.

3442420242443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167064 (or 13167038 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 3442420 and 242443, that added together give a palindrome (3684863).

The spelling of 3442420242443 in words is "three trillion, four hundred forty-two billion, four hundred twenty million, two hundred forty-two thousand, four hundred forty-three".

Divisors: 1 7 13 17 91 119 169 221 1183 1547 2197 2873 15379 20111 37349 261443 13167001 92169007 171171013 223839017 1198197091 1566873119 2225223169 2909907221 15576562183 20369350547 28927901197 37828793873 202495308379 264801557111 491774320349 3442420242443