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3442446442443 = 337101990131013
BaseRepresentation
bin110010000110000001110…
…011000001111111001011
3110012002120000022100001210
4302012001303001333023
5422400112242124233
611153234342144203
7503465013652131
oct62060163017713
913162500270053
103442446442443
111107a2a2aa578
12477204422063
131bc81001a478
14bc888535751
155e82c7c1163
hex32181cc1fcb

3442446442443 has 32 divisors (see below), whose sum is σ = 4761288136512. Its totient is φ = 2210535360000.

The previous prime is 3442446442441. The next prime is 3442446442453.

It is a happy number.

3442446442443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3442446442443 - 21 = 3442446442441 is a prime.

It is a super-3 number, since 3×34424464424433 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3442446442392 and 3442446442401.

It is not an unprimeable number, because it can be changed into a prime (3442446442441) 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, 110984605 + ... + 111015617.

It is an arithmetic number, because the mean of its divisors is an integer number (148790254266).

Almost surely, 23442446442443 is an apocalyptic number.

3442446442443 is a deficient number, since it is larger than the sum of its proper divisors (1318841694069).

3442446442443 is a wasteful number, since it uses less digits than its factorization.

3442446442443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41055.

The product of its digits is 14155776, while the sum is 48.

The spelling of 3442446442443 in words is "three trillion, four hundred forty-two billion, four hundred forty-six million, four hundred forty-two thousand, four hundred forty-three".

Divisors: 1 3 37 101 111 303 3737 9901 11211 29703 31013 93039 366337 1000001 1099011 1147481 3000003 3132313 3442443 9396939 37000037 111000111 115895581 307059713 347686743 921179139 11361209381 31013031013 34083628143 93039093039 1147482147481 3442446442443