Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10244530242 = 234177947087
BaseRepresentation
bin10011000101001111…
…10010000001000010
3222102221220001120000
421202213302001002
5131440044431432
64412315500430
7511604033052
oct114247620102
928387801500
1010244530242
114387852221
121b9aa57716
13c7356631b
146d2817562
153ee5b157c
hex2629f2042

10244530242 has 80 divisors (see below), whose sum is σ = 24613839360. Its totient is φ = 3173219712.

The previous prime is 10244530237. The next prime is 10244530249. The reversal of 10244530242 is 24203544201.

10244530242 is a `hidden beast` number, since 102 + 4 + 4 + 530 + 24 + 2 = 666.

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 (10244530249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194023 + ... + 241109.

It is an arithmetic number, because the mean of its divisors is an integer number (307672992).

Almost surely, 210244530242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244530242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306919680).

10244530242 is an abundant number, since it is smaller than the sum of its proper divisors (14369309118).

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

10244530242 is a wasteful number, since it uses less digits than its factorization.

10244530242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47197 (or 47188 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 10244530242 in words is "ten billion, two hundred forty-four million, five hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 153 158 162 237 306 459 474 711 918 1343 1377 1422 2133 2686 2754 4029 4266 6399 8058 12087 12798 24174 36261 47087 72522 94174 108783 141261 217566 282522 423783 800479 847566 1271349 1600958 2401437 2542698 3719873 3814047 4802874 7204311 7439746 7628094 11159619 14408622 21612933 22319238 33478857 43225866 63237841 64838799 66957714 100436571 126475682 129677598 189713523 200873142 301309713 379427046 569140569 602619426 1138281138 1707421707 3414843414 5122265121 10244530242