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1139493601200 = 2435229227144247
BaseRepresentation
bin10000100101001111000…
…111000111111110110000
311000221020021020120200010
4100211033013013332300
5122132140330214300
62231250502254520
7145216466541003
oct20451707077660
94027207216603
101139493601200
113aa290482129
12164a12127440
13835b8c75076
143d21a6d553a
151e992ca8a50
hex1094f1c7fb0

1139493601200 has 240 divisors, whose sum is σ = 3792706894080. Its totient is φ = 292092380160.

The previous prime is 1139493601187. The next prime is 1139493601223. The reversal of 1139493601200 is 21063949311.

It is a happy number.

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

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, 7827477 + ... + 7971723.

It is an arithmetic number, because the mean of its divisors is an integer number (15802945392).

Almost surely, 21139493601200 is an apocalyptic number.

1139493601200 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 1139493601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896353447040).

1139493601200 is an abundant number, since it is smaller than the sum of its proper divisors (2653213292880).

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

1139493601200 is a wasteful number, since it uses less digits than its factorization.

1139493601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144524 (or 144513 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 1139493601200 in words is "one trillion, one hundred thirty-nine billion, four hundred ninety-three million, six hundred one thousand, two hundred".