Search a number
-
+
3442013112321 = 34719216815983
BaseRepresentation
bin110010000101100111111…
…110000000100000000001
3110012001102210220212220000
4302011213332000200001
5422343220324043241
611153123342310213
7503451202502040
oct62054776004001
913161383825800
103442013112321
11110782773a203
12477103288369
131bc771309204
14bc846b76557
155e804726eb6
hex32167f80801

3442013112321 has 60 divisors (see below), whose sum is σ = 6201869427072. Its totient is φ = 1863345333456.

The previous prime is 3442013112319. The next prime is 3442013112341. The reversal of 3442013112321 is 1232113102443.

3442013112321 is a `hidden beast` number, since 3 + 4 + 4 + 20 + 1 + 311 + 2 + 321 = 666.

It is not a de Polignac number, because 3442013112321 - 21 = 3442013112319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3442013112341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8203305 + ... + 8612678.

Almost surely, 23442013112321 is an apocalyptic number.

It is an amenable number.

3442013112321 is a deficient number, since it is larger than the sum of its proper divisors (2759856314751).

3442013112321 is a wasteful number, since it uses less digits than its factorization.

3442013112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816040 (or 16816012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3442013112321 its reverse (1232113102443), we get a palindrome (4674126214764).

The spelling of 3442013112321 in words is "three trillion, four hundred forty-two billion, thirteen million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 361 399 513 567 1083 1197 1539 2527 3249 3591 7581 9747 10773 22743 29241 68229 204687 16815983 50447949 117711881 151343847 319503677 353135643 454031541 958511031 1059406929 1362094623 2236525739 2875533093 3178220787 6070569863 6709577217 8626599279 9534662361 18211709589 20128731651 25879797837 42493989041 54635128767 60386194953 127481967123 163905386301 181158584859 382445901369 491716158903 1147337704107 3442013112321