Search a number
-
+
241601334321636 = 223326913921597383
BaseRepresentation
bin110110111011110000110001…
…101101011010000111100100
31011200102212021101121010001000
4312323300301231122013210
5223131344013041243021
62213502042025433300
7101614056201464052
oct6673606155320744
91150385241533030
10241601334321636
116aa88606766463
122311bb5a03b830
13a4a6ba60436b3
1443937d1ac31d2
151cde9125aeb26
hexdbbc31b5a1e4

241601334321636 has 96 divisors (see below), whose sum is σ = 628748571628800. Its totient is φ = 80228498181120.

The previous prime is 241601334321631. The next prime is 241601334321643. The reversal of 241601334321636 is 636123433106142.

241601334321636 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 0 + 1 + 3 + 3 + 4 + 3 + 2 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241601334321591 and 241601334321600.

It is not an unprimeable number, because it can be changed into a prime (241601334321631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404134201 + ... + 404731583.

It is an arithmetic number, because the mean of its divisors is an integer number (6549464287800).

Almost surely, 2241601334321636 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 241601334321636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314374285814400).

241601334321636 is an abundant number, since it is smaller than the sum of its proper divisors (387147237307164).

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

241601334321636 is a wasteful number, since it uses less digits than its factorization.

241601334321636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611586 (or 611578 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

Adding to 241601334321636 its reverse (636123433106142), we get a palindrome (877724767427778).

The spelling of 241601334321636 in words is "two hundred forty-one trillion, six hundred one billion, three hundred thirty-four million, three hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 269 538 807 1076 1614 2421 3228 4842 7263 9684 13921 14526 27842 29052 41763 55684 83526 125289 167052 250578 375867 501156 597383 751734 1194766 1503468 1792149 2389532 3584298 3744749 5376447 7168596 7489498 10752894 11234247 14978996 16129341 21505788 22468494 32258682 33702741 44936988 64517364 67405482 101108223 134810964 160696027 202216446 321392054 404432892 482088081 642784108 964176162 1446264243 1928352324 2892528486 4338792729 5785056972 8316168743 8677585458 16632337486 17355170916 24948506229 33264674972 49897012458 74845518687 99794024916 149691037374 224536556061 299382074748 449073112122 898146224244 2237049391867 4474098783734 6711148175601 8948197567468 13422296351202 20133444526803 26844592702404 40266889053606 60400333580409 80533778107212 120800667160818 241601334321636