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142580784458112 = 273711132771339109
BaseRepresentation
bin100000011010110100101101…
…000000100110100110000000
3200200211120221000111210000220
4200122310231000212212000
5122142020421310124422
61223124412542343040
742014056520161140
oct4032645500464600
9620746830453026
10142580784458112
11414811978315a0
1213ba914028aa80
1361734058c8330
14272cd37dba920
151173cc03c2e5c
hex81ad2d026980

142580784458112 has 512 divisors, whose sum is σ = 510341034470400. Its totient is φ = 34061765345280.

The previous prime is 142580784458087. The next prime is 142580784458201. The reversal of 142580784458112 is 211854487085241.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 105804814 + ... + 107143922.

It is an arithmetic number, because the mean of its divisors is an integer number (996759832950).

Almost surely, 2142580784458112 is an apocalyptic number.

142580784458112 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 142580784458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255170517235200).

142580784458112 is an abundant number, since it is smaller than the sum of its proper divisors (367760250012288).

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

142580784458112 is a wasteful number, since it uses less digits than its factorization.

142580784458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339434 (or 1339422 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 60.

The spelling of 142580784458112 in words is "one hundred forty-two trillion, five hundred eighty billion, seven hundred eighty-four million, four hundred fifty-eight thousand, one hundred twelve".