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142026456312 = 2332131947169919
BaseRepresentation
bin1000010001000101101…
…1111011110011111000
3111120121001211112012200
42010101123323303320
54311332233100222
6145125051510200
713155355650126
oct2042133736370
9446531745180
10142026456312
1155262260824
1223638458360
1310515670380
146c34812916
153a63aaceac
hex21116fbcf8

142026456312 has 192 divisors, whose sum is σ = 445326336000. Its totient is φ = 40519325952.

The previous prime is 142026456311. The next prime is 142026456329. The reversal of 142026456312 is 213654620241.

142026456312 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 2 + 645 + 6 + 3 + 1 + 2 = 666.

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 (142026456311) 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, 750889 + ... + 920807.

It is an arithmetic number, because the mean of its divisors is an integer number (2319408000).

Almost surely, 2142026456312 is an apocalyptic number.

142026456312 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 142026456312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222663168000).

142026456312 is an abundant number, since it is smaller than the sum of its proper divisors (303299879688).

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

142026456312 is a wasteful number, since it uses less digits than its factorization.

142026456312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170010 (or 170003 counting only the distinct ones).

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

The spelling of 142026456312 in words is "one hundred forty-two billion, twenty-six million, four hundred fifty-six thousand, three hundred twelve".