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242423533404 = 22321310114813463
BaseRepresentation
bin1110000111000110010…
…0011000111101011100
3212011201220122110211100
43201301210120331130
512432440411032104
6303211241353100
723341324014603
oct3416144307534
9764656573740
10242423533404
11938a1845808
123ab97198790
1319b25509b70
14ba3a4b6a3a
15648cad0139
hex3871918f5c

242423533404 has 144 divisors (see below), whose sum is σ = 667107290304. Its totient is φ = 73782144000.

The previous prime is 242423533397. The next prime is 242423533409. The reversal of 242423533404 is 404335324242.

242423533404 is a `hidden beast` number, since 2 + 4 + 242 + 3 + 5 + 3 + 3 + 404 = 666.

242423533404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242423533409) by changing a digit.

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, 70002177 + ... + 70005639.

It is an arithmetic number, because the mean of its divisors is an integer number (4632689516).

Almost surely, 2242423533404 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 242423533404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333553645152).

242423533404 is an abundant number, since it is smaller than the sum of its proper divisors (424683756900).

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

242423533404 is a wasteful number, since it uses less digits than its factorization.

242423533404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 242423533404 its reverse (404335324242), we get a palindrome (646758857646).

The spelling of 242423533404 in words is "two hundred forty-two billion, four hundred twenty-three million, five hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1481 1818 2626 2962 3463 3636 3939 4443 5252 5924 6926 7878 8886 10389 11817 13329 13852 15756 17772 19253 20778 23634 26658 31167 38506 41556 45019 47268 53316 57759 62334 77012 90038 115518 124668 135057 149581 173277 180076 231036 270114 299162 346554 349763 405171 448743 540228 598324 693108 699526 810342 897486 1049289 1346229 1399052 1620684 1794972 1944553 2098578 2692458 3147867 3889106 4197156 4546919 5128703 5384916 5833659 6295734 7778212 9093838 10257406 11667318 12591468 13640757 15386109 17500977 18187676 20514812 23334636 27281514 30772218 35001954 40922271 46158327 54563028 61544436 66673139 70003908 81844542 92316654 133346278 163689084 184633308 200019417 266692556 400038834 517999003 600058251 800077668 1035998006 1200116502 1553997009 2071996012 2400233004 3107994018 4661991027 6215988036 6733987039 9323982054 13467974078 18647964108 20201961117 26935948156 40403922234 60605883351 80807844468 121211766702 242423533404