Search a number
-
+
116140105032 = 233723291278161
BaseRepresentation
bin110110000101001111…
…1010101110101001000
3102002210000002122000120
41230022133111311020
53400323331330112
6125204245303240
711251026414210
oct1541237256510
9362700078016
10116140105032
1145289074986
121a613104b20
13ac4b60ba53
14589a863240
15304b1a7e8c
hex1b0a7d5d48

116140105032 has 256 divisors, whose sum is σ = 361060761600. Its totient is φ = 30400634880.

The previous prime is 116140105013. The next prime is 116140105057. The reversal of 116140105032 is 230501041611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 116140104993 and 116140105011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14227032 + ... + 14235192.

It is an arithmetic number, because the mean of its divisors is an integer number (1410393600).

Almost surely, 2116140105032 is an apocalyptic number.

116140105032 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 116140105032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530380800).

116140105032 is an abundant number, since it is smaller than the sum of its proper divisors (244920656568).

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

116140105032 is a wasteful number, since it uses less digits than its factorization.

116140105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 116140105032 its reverse (230501041611), we get a palindrome (346641146643).

The spelling of 116140105032 in words is "one hundred sixteen billion, one hundred forty million, one hundred five thousand, thirty-two".