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142232853312 = 2635111943759
BaseRepresentation
bin1000010001110110111…
…1010001101101000000
3111121010110012120200000
42010131233101231000
54312243102301222
6145201343400000
713163443206504
oct2043557215500
9447113176600
10142232853312
1155358812960
12236955b3000
1310549357284
146c53dbc304
153a76c7c9ac
hex211dbd1b40

142232853312 has 336 divisors, whose sum is σ = 485504947200. Its totient is φ = 40831464960.

The previous prime is 142232853311. The next prime is 142232853349. The reversal of 142232853312 is 213358232241.

142232853312 is a `hidden beast` number, since 1 + 42 + 2 + 3 + 285 + 331 + 2 = 666.

It is a super-2 number, since 2×1422328533122 (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 (142232853311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228489 + ... + 3272247.

It is an arithmetic number, because the mean of its divisors is an integer number (1444955200).

Almost surely, 2142232853312 is an apocalyptic number.

142232853312 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 142232853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242752473600).

142232853312 is an abundant number, since it is smaller than the sum of its proper divisors (343272093888).

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

142232853312 is a wasteful number, since it uses less digits than its factorization.

142232853312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43816 (or 43794 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 142232853312 in words is "one hundred forty-two billion, two hundred thirty-two million, eight hundred fifty-three thousand, three hundred twelve".