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242501240724 = 2231953199910039
BaseRepresentation
bin1110000111011000110…
…0110100011110010100
3212011221022212102020020
43201312030310132110
512433120304200344
6303223055105140
723343256351551
oct3416614643624
9764838772206
10242501240724
11939316a0436
123abb92121b0
1319b38646822
14ba46943a28
15649482e719
hex3876334794

242501240724 has 96 divisors (see below), whose sum is σ = 607219200000. Its totient is φ = 75089379456.

The previous prime is 242501240717. The next prime is 242501240753. The reversal of 242501240724 is 427042105242.

It is a happy number.

242501240724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24150897 + ... + 24160935.

It is an arithmetic number, because the mean of its divisors is an integer number (6325200000).

Almost surely, 2242501240724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242501240724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303609600000).

242501240724 is an abundant number, since it is smaller than the sum of its proper divisors (364717959276).

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

242501240724 is a wasteful number, since it uses less digits than its factorization.

242501240724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

Adding to 242501240724 its reverse (427042105242), we get a palindrome (669543345966).

The spelling of 242501240724 in words is "two hundred forty-two billion, five hundred one million, two hundred forty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 1999 2014 3021 3998 4028 5997 6042 7996 10039 11994 12084 20078 23988 30117 37981 40156 60234 75962 105947 113943 120468 151924 190741 211894 227886 317841 381482 423788 455772 532067 572223 635682 762964 1064134 1144446 1271364 1596201 2012993 2128268 2288892 3192402 4025986 6038979 6384804 8051972 10109273 12077958 20067961 20218546 24155916 30327819 40135922 40437092 60203883 60655638 80271844 120407766 121311276 240815532 381291259 762582518 1063601933 1143873777 1525165036 2127203866 2287747554 3190805799 4254407732 4575495108 6381611598 12763223196 20208436727 40416873454 60625310181 80833746908 121250620362 242501240724