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24050213040042 = 23271914297030117
BaseRepresentation
bin1010111011111101000000…
…11001111010111110101010
310011011011210200211221012200
411131332200121322332222
511123014314014240132
6123052303151521030
75031366461565540
oct535764031727652
9104134720757180
1024050213040042
117732702300902
122845113829176
131055c05020987
145d2072305d90
152ba904268d7c
hex15dfa067afaa

24050213040042 has 96 divisors (see below), whose sum is σ = 62731148937600. Its totient is φ = 6505275659904.

The previous prime is 24050213040031. The next prime is 24050213040047. The reversal of 24050213040042 is 24004031205042.

24050213040042 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 0 + 213 + 0 + 400 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 24050213039988 and 24050213040015.

It is not an unprimeable number, because it can be changed into a prime (24050213040047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94033 + ... + 6936084.

It is an arithmetic number, because the mean of its divisors is an integer number (653449468100).

Almost surely, 224050213040042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24050213040042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31365574468800).

24050213040042 is an abundant number, since it is smaller than the sum of its proper divisors (38680935897558).

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

24050213040042 is a wasteful number, since it uses less digits than its factorization.

24050213040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031580 (or 7031577 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 24050213040042 its reverse (24004031205042), we get a palindrome (48054244245084).

The spelling of 24050213040042 in words is "twenty-four trillion, fifty billion, two hundred thirteen million, forty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1429 2394 2858 4287 8574 10003 12861 20006 25722 27151 30009 54302 60018 81453 90027 162906 180054 190057 244359 380114 488718 570171 1140342 1710513 3421026 7030117 14060234 21090351 42180702 49210819 63271053 98421638 126542106 133572223 147632457 267144446 295264914 400716669 442897371 801433338 885794742 935005561 1202150007 1870011122 2404300014 2805016683 5610033366 8415050049 10046037193 16830100098 20092074386 30138111579 60276223158 70322260351 90414334737 140644520702 180828669474 190874706667 210966781053 381749413334 421933562106 572624120001 632900343159 1145248240002 1265800686318 1336122946669 1717872360003 2672245893338 3435744720006 4008368840007 8016737680014 12025106520021 24050213040042