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142261636050 = 232521015695501
BaseRepresentation
bin1000010001111101110…
…1000100101111010010
3111121012110100220011100
42010133131010233102
54312322434323200
6145204252325230
713164242645262
oct2043735045722
9447173326140
10142261636050
1155372a91846
12236a3173816
13105522c4191
146c57b517a2
153a79565d00
hex211f744bd2

142261636050 has 144 divisors (see below), whose sum is σ = 386742512520. Its totient is φ = 37488000000.

The previous prime is 142261636031. The next prime is 142261636079. The reversal of 142261636050 is 50636162241.

142261636050 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 616 + 36 + 0 + 5 + 0 = 666.

142261636050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 56998220049 + 85263416001 = 238743^2 + 291999^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142261635996 and 142261636014.

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 71 ways as a sum of consecutive naturals, for example, 25858300 + ... + 25863800.

Almost surely, 2142261636050 is an apocalyptic number.

142261636050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142261636050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193371256260).

142261636050 is an abundant number, since it is smaller than the sum of its proper divisors (244480876470).

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

142261636050 is a wasteful number, since it uses less digits than its factorization.

142261636050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 142261636050 its reverse (50636162241), we get a palindrome (192897798291).

Subtracting from 142261636050 its reverse (50636162241), we obtain a square (91625473809 = 3026972).

The spelling of 142261636050 in words is "one hundred forty-two billion, two hundred sixty-one million, six hundred thirty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 505 569 606 909 1010 1138 1515 1707 1818 2525 2845 3030 3414 4545 5050 5121 5501 5690 7575 8535 9090 10242 11002 14225 15150 16503 17070 22725 25605 27505 28450 33006 42675 45450 49509 51210 55010 57469 82515 85350 99018 114938 128025 137525 165030 172407 247545 256050 275050 287345 344814 412575 495090 517221 555601 574690 825150 862035 1034442 1111202 1237725 1436725 1666803 1724070 2475450 2586105 2778005 2873450 3130069 3333606 4310175 5000409 5172210 5556010 6260138 8334015 8620350 9390207 10000818 12930525 13890025 15650345 16668030 18780414 25002045 25861050 27780050 28170621 31300690 41670075 46951035 50004090 56341242 78251725 83340150 93902070 125010225 140853105 156503450 234755175 250020450 281706210 316136969 469510350 632273938 704265525 948410907 1408531050 1580684845 1896821814 2845232721 3161369690 4742054535 5690465442 7903424225 9484109070 14226163605 15806848450 23710272675 28452327210 47420545350 71130818025 142261636050