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142861728960 = 26325235340693
BaseRepresentation
bin1000010100001100111…
…0001111110011000000
3111122202021112202212200
42011003032033303000
54320040100311320
6145344010353200
713215150442266
oct2050316176300
9448667482780
10142861728960
11556507a34a5
122383012b800
1310619723142
146cb3720436
153ab20a1290
hex214338fcc0

142861728960 has 336 divisors, whose sum is σ = 522436734144. Its totient is φ = 35751665664.

The previous prime is 142861728959. The next prime is 142861728979. The reversal of 142861728960 is 69827168241.

It is a happy number.

142861728960 is a `hidden beast` number, since 1 + 428 + 61 + 72 + 8 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142861728897 and 142861728906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490374 + ... + 3531066.

Almost surely, 2142861728960 is an apocalyptic number.

142861728960 is a gapful number since it is divisible by the number (10) 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 142861728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261218367072).

142861728960 is an abundant number, since it is smaller than the sum of its proper divisors (379575005184).

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

142861728960 is a wasteful number, since it uses less digits than its factorization.

142861728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40792 (or 40779 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 142861728960 in words is "one hundred forty-two billion, eight hundred sixty-one million, seven hundred twenty-eight thousand, nine hundred sixty".