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242413443234 = 2323713917914629
BaseRepresentation
bin1110000111000011110…
…1111001100010100010
3212011201012122211201100
43201300331321202202
512432430320140414
6303210241215230
723341142161314
oct3416075714242
9764635584640
10242413443234
1193897083926
123ab93931516
1319b233b6251
14ba3900b7b4
15648bc8a609
hex3870f798a2

242413443234 has 96 divisors (see below), whose sum is σ = 546377832000. Its totient is φ = 77613593472.

The previous prime is 242413443211. The next prime is 242413443241. The reversal of 242413443234 is 432344314242.

242413443234 is a `hidden beast` number, since 2 + 4 + 2 + 413 + 4 + 4 + 3 + 234 = 666.

242413443234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 16563432 + ... + 16578060.

It is an arithmetic number, because the mean of its divisors is an integer number (5691435750).

Almost surely, 2242413443234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242413443234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273188916000).

242413443234 is an abundant number, since it is smaller than the sum of its proper divisors (303964388766).

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

242413443234 is a wasteful number, since it uses less digits than its factorization.

242413443234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 14989 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 242413443234 its reverse (432344314242), we get a palindrome (674757757476).

The spelling of 242413443234 in words is "two hundred forty-two billion, four hundred thirteen million, four hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 139 179 222 278 333 358 417 537 666 834 1074 1251 1611 2502 3222 5143 6623 10286 13246 14629 15429 19869 24881 29258 30858 39738 43887 46287 49762 59607 74643 87774 92574 119214 131661 149286 223929 263322 447858 541273 920597 1082546 1623819 1841194 2033431 2618591 2761791 3247638 4066862 4871457 5237182 5523582 6100293 7855773 8285373 9742914 12200586 15711546 16570746 18300879 23567319 36601758 47134638 75236947 96887867 150473894 193775734 225710841 290663601 363984149 451421682 581327202 677132523 727968298 871990803 1091952447 1354265046 1743981606 2183904894 3275857341 6551714682 13467413513 26934827026 40402240539 80804481078 121206721617 242413443234