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142385329854000 = 24325375521104743
BaseRepresentation
bin100000010111111110101011…
…000000011101011000110000
3200200010220102110012010111100
4200113332223000131120300
5122130320123420312000
61222454530104044400
741664000131355162
oct4027765300353060
9620126373163440
10142385329854000
11414063087a7622
1213b77292a63700
13615ab571b852c
1427236b5860932
15116db81007a00
hex817fab01d630

142385329854000 has 240 divisors, whose sum is σ = 497315828303424. Its totient is φ = 37968556032000.

The previous prime is 142385329853999. The next prime is 142385329854017. The reversal of 142385329854000 is 458923583241.

142385329854000 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 8 + 5 + 3 + 2 + 98 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1423853298540002 (a number of 29 digits) contains 22 as substring.

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, 1359325629 + ... + 1359430371.

Almost surely, 2142385329854000 is an apocalyptic number.

142385329854000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142385329854000 is an abundant number, since it is smaller than the sum of its proper divisors (354930498449424).

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

142385329854000 is a wasteful number, since it uses less digits than its factorization.

142385329854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180293 (or 180274 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 142385329854000 in words is "one hundred forty-two trillion, three hundred eighty-five billion, three hundred twenty-nine million, eight hundred fifty-four thousand".