Search a number
-
+
133563041445042 = 232112211290633699
BaseRepresentation
bin11110010111100110010001…
…101000111111010010110010
3122111220111120000002111110100
4132113212101220333102302
5120001244102102220132
61152022003021413230
740063416451242516
oct3627462150772262
9574814500074410
10133563041445042
1139614849a07100
1212b914b440a216
13596ac2cb25a51
1424da6b2a82146
1510694341a237c
hex797991a3f4b2

133563041445042 has 72 divisors (see below), whose sum is σ = 319593604402800. Its totient is φ = 40281830542800.

The previous prime is 133563041445037. The next prime is 133563041445049. The reversal of 133563041445042 is 240544140365331.

133563041445042 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 63 + 0 + 41 + 44 + 504 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (133563041445049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144857292 + ... + 145776407.

It is an arithmetic number, because the mean of its divisors is an integer number (4438800061150).

Almost surely, 2133563041445042 is an apocalyptic number.

133563041445042 is an abundant number, since it is smaller than the sum of its proper divisors (186030562957758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133563041445042 is a wasteful number, since it uses less digits than its factorization.

133563041445042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290633940 (or 290633926 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 133563041445042 in words is "one hundred thirty-three trillion, five hundred sixty-three billion, forty-one million, four hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 211 242 363 422 633 726 1089 1266 1899 2178 2321 3798 4642 6963 13926 20889 25531 41778 51062 76593 153186 229779 459558 290633699 581267398 871901097 1743802194 2615703291 3196970689 5231406582 6393941378 9590912067 19181824134 28772736201 35166677579 57545472402 61323710489 70333355158 105500032737 122647420978 183971131467 211000065474 316500098211 367942262934 551913394401 633000196422 674560815379 1103826788802 1349121630758 2023682446137 4047364892274 6071047338411 7420168969169 12142094676822 14840337938338 22260506907507 44521013815014 66781520722521 133563041445042