Search a number
-
+
33144202222341 = 3734917053265193
BaseRepresentation
bin1111000100100111111000…
…11001100101101100000101
311100100112222102212221000220
413202103330121211230011
513321013311232103331
6154254123012454553
76660406141330560
oct742237431455405
9140315872787026
1033144202222341
11a6194170a57a1
12387369a31a459
13156563c307522
1482828ba254d7
153c725410c296
hex1e24fc665b05

33144202222341 has 32 divisors (see below), whose sum is σ = 50653326931200. Its totient is φ = 18884097437184.

The previous prime is 33144202222337. The next prime is 33144202222363. The reversal of 33144202222341 is 14322220244133.

It is a happy number.

It is not a de Polignac number, because 33144202222341 - 22 = 33144202222337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144202222541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124848841 + ... + 125114033.

It is an arithmetic number, because the mean of its divisors is an integer number (1582916466600).

Almost surely, 233144202222341 is an apocalyptic number.

It is an amenable number.

33144202222341 is a deficient number, since it is larger than the sum of its proper divisors (17509124708859).

33144202222341 is a wasteful number, since it uses less digits than its factorization.

33144202222341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282605.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 33144202222341 its reverse (14322220244133), we get a palindrome (47466422466474).

The spelling of 33144202222341 in words is "thirty-three trillion, one hundred forty-four billion, two hundred two million, two hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 7 21 349 1047 2443 7329 17053 51159 119371 265193 358113 795579 1856351 5569053 5951497 17854491 41660479 92552357 124981437 277657071 647866499 1943599497 4522336229 13567008687 31656353603 94969060809 1578295343921 4734886031763 11048067407447 33144202222341