Search a number
-
+
132366444242 = 21723724092
BaseRepresentation
bin111101101000110100…
…1111010011011010010
3110122122211211001211212
41323101221322123102
54132041302203432
6140450332140122
712364110132464
oct1732151723322
9418584731755
10132366444242
115115545277a
12217a1307642
13c636241bb6
1465998b2134
15369a9ac2b2
hex1ed1a7a6d2

132366444242 has 54 divisors (see below), whose sum is σ = 217301879277. Its totient is φ = 60458393088.

The previous prime is 132366444241. The next prime is 132366444253. The reversal of 132366444242 is 242444663231.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 118252766641 + 14113677601 = 343879^2 + 118801^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257261.

It is a super-2 number, since 2×1323664442422 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132366444242.

It is not an unprimeable number, because it can be changed into a prime (132366444241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323634134 + ... + 323634542.

Almost surely, 2132366444242 is an apocalyptic number.

132366444242 is a deficient number, since it is larger than the sum of its proper divisors (84935435035).

132366444242 is an frugal number, since it uses more digits than its factorization.

132366444242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 465 counting only the distinct ones).

The product of its digits is 663552, while the sum is 41.

The spelling of 132366444242 in words is "one hundred thirty-two billion, three hundred sixty-six million, four hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 17 34 37 74 289 409 578 629 818 1258 1369 2738 6953 10693 13906 15133 21386 23273 30266 46546 118201 167281 236402 257261 334562 395641 514522 559921 791282 1119842 2843777 4373437 5687554 6189397 8746874 9518657 12378794 19037314 48344209 96688418 105219749 161817169 210439498 229007689 323634338 458015378 1788735733 3577471466 3893130713 7786261426 66183222121 132366444242