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242401241104 = 24112836917043
BaseRepresentation
bin1110000111000000111…
…1010110100000010000
3212011200100200220112121
43201300033112200100
512432414204203404
6303205123504024
723340633360511
oct3416017264020
9764610626477
10242401241104
11938901aa220
123ab8b828014
1319b20a03259
14ba37552a08
15648ab79e54
hex38703d6810

242401241104 has 80 divisors (see below), whose sum is σ = 514975682304. Its totient is φ = 109618588800.

The previous prime is 242401241059. The next prime is 242401241161. The reversal of 242401241104 is 401142104242.

It is a happy number.

242401241104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34413807 + ... + 34420849.

Almost surely, 2242401241104 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 242401241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257487841152).

242401241104 is an abundant number, since it is smaller than the sum of its proper divisors (272574441200).

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

242401241104 is a wasteful number, since it uses less digits than its factorization.

242401241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 242401241104 its reverse (401142104242), we get a palindrome (643543345346).

The spelling of 242401241104 in words is "two hundred forty-two billion, four hundred one million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 691 1132 1382 2264 2764 3113 4528 5528 6226 7043 7601 11056 12452 14086 15202 24904 28172 30404 49808 56344 60808 77473 112688 121616 154946 195553 309892 391106 619784 782212 1239568 1564424 1993169 2151083 3128848 3986338 4302166 4866713 7972676 8604332 9733426 15945352 17208664 19466852 21924859 31890704 34417328 38933704 43849718 53533843 77867408 87699436 107067686 175398872 214135372 350797744 428270744 856541488 1377279779 2754559558 5509119116 11018238232 15150077569 22036476464 30300155138 60600310276 121200620552 242401241104