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116440001280 = 283551719261
BaseRepresentation
bin110110001110001011…
…1010110101100000000
3102010112220101221100000
41230130113112230000
53401432120020110
6125254121200000
711261330452251
oct1543427265400
9363486357300
10116440001280
1145422388419
121a697630000
13ac987a1555
1458c860ab28
1530676961c0
hex1b1c5d6b00

116440001280 has 1296 divisors, whose sum is σ = 474528940704. Its totient is φ = 27232174080.

The previous prime is 116440001233. The next prime is 116440001291. The reversal of 116440001280 is 82100044611.

It is a happy number.

116440001280 is a `hidden beast` number, since 1 + 1 + 644 + 0 + 0 + 0 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 1908852450 + ... + 1908852510.

It is an arithmetic number, because the mean of its divisors is an integer number (366148874).

Almost surely, 2116440001280 is an apocalyptic number.

116440001280 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 116440001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237264470352).

116440001280 is an abundant number, since it is smaller than the sum of its proper divisors (358088939424).

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

116440001280 is an equidigital number, since it uses as much as digits as its factorization.

116440001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 116440001280 its reverse (82100044611), we get a palindrome (198540045891).

The spelling of 116440001280 in words is "one hundred sixteen billion, four hundred forty million, one thousand, two hundred eighty".