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114778080000 = 2833541632
BaseRepresentation
bin110101011100101001…
…1101000001100000000
3101222021002012120221000
41222321103220030000
53340031142030000
6124421152332000
711202210403563
oct1527123501400
9358232176830
10114778080000
114474a263361
121a2b2b44000
13aa9239818c
1457ab9d84da
152ebb815000
hex1ab94e8300

114778080000 has 540 divisors, whose sum is σ = 426755988120. Its totient is φ = 30419712000.

The previous prime is 114778079981. The next prime is 114778080017. The reversal of 114778080000 is 80877411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 704159919 + ... + 704160081.

Almost surely, 2114778080000 is an apocalyptic number.

114778080000 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 114778080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213377994060).

114778080000 is an abundant number, since it is smaller than the sum of its proper divisors (311977908120).

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

114778080000 is an frugal number, since it uses more digits than its factorization.

114778080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 114778080000 in words is "one hundred fourteen billion, seven hundred seventy-eight million, eighty thousand".