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142221605652 = 22347261146857
BaseRepresentation
bin1000010001110100010…
…0010111101100010100
3111121002200001010210000
42010131010113230110
54312232212340102
6145200302331300
713163245462500
oct2043504275424
9447080033700
10142221605652
1155352430375
1223691889b30
1310546c19859
146c526d1300
153a75caa01c
hex211d117b14

142221605652 has 180 divisors, whose sum is σ = 439589757684. Its totient is φ = 39968328960.

The previous prime is 142221605621. The next prime is 142221605653. The reversal of 142221605652 is 256506122241.

142221605652 is a `hidden beast` number, since 1 + 4 + 22 + 21 + 605 + 6 + 5 + 2 = 666.

142221605652 is digitally balanced in base 7, 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 2 ways, for example, as 48398240016 + 93823365636 = 219996^2 + 306306^2 .

It is a super-2 number, since 2×1422216056522 (a number of 23 digits) contains 22 as substring.

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 (142221605653) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 895008 + ... + 1041864.

Almost surely, 2142221605652 is an apocalyptic number.

142221605652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142221605652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219794878842).

142221605652 is an abundant number, since it is smaller than the sum of its proper divisors (297368152032).

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

142221605652 is a wasteful number, since it uses less digits than its factorization.

142221605652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146948 (or 146930 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 142221605652 its reverse (256506122241), we get a palindrome (398727727893).

The spelling of 142221605652 in words is "one hundred forty-two billion, two hundred twenty-one million, six hundred five thousand, six hundred fifty-two".