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142252305004224 = 26321077333148829
BaseRepresentation
bin100000010110000010110010…
…000110111011011011000000
3200122200012001201110121001100
4200112002302012323123000
5122121130210040113344
61222313450131534400
741651250504656622
oct4026026206733300
9618605051417040
10142252305004224
1141364955735048
1213b5554915a400
13614b44773b77c
14271b096760c12
15116a497842569
hex8160b21bb6c0

142252305004224 has 168 divisors, whose sum is σ = 412112799455760. Its totient is φ = 46910181537792.

The previous prime is 142252305004223. The next prime is 142252305004247. The reversal of 142252305004224 is 422400503252241.

142252305004224 is a `hidden beast` number, since 1 + 4 + 22 + 523 + 0 + 50 + 0 + 42 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142252305004223) 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 23 ways as a sum of consecutive naturals, for example, 43601842 + ... + 46750670.

Almost surely, 2142252305004224 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 142252305004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206056399727880).

142252305004224 is an abundant number, since it is smaller than the sum of its proper divisors (269860494451536).

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

142252305004224 is a wasteful number, since it uses less digits than its factorization.

142252305004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149687 (or 3149674 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 142252305004224 its reverse (422400503252241), we get a palindrome (564652808256465).

The spelling of 142252305004224 in words is "one hundred forty-two trillion, two hundred fifty-two billion, three hundred five million, four thousand, two hundred twenty-four".