Search a number
-
+
114744635500 = 225311671013083
BaseRepresentation
bin110101011011101010…
…0000011000001101100
3101222011202021102200211
41222313110003001230
53334444111314000
6124413555432204
711201323211005
oct1526724030154
9358152242624
10114744635500
114473239aa80
121a2a38b5664
13aa88488431
1457a73b01ac
152eb890a7ba
hex1ab750306c

114744635500 has 192 divisors, whose sum is σ = 280302736896. Its totient is φ = 40682400000.

The previous prime is 114744635437. The next prime is 114744635543. The reversal of 114744635500 is 5536447411.

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, 37216959 + ... + 37220041.

It is an arithmetic number, because the mean of its divisors is an integer number (1459910088).

Almost surely, 2114744635500 is an apocalyptic number.

114744635500 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 114744635500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140151368448).

114744635500 is an abundant number, since it is smaller than the sum of its proper divisors (165558101396).

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

114744635500 is a wasteful number, since it uses less digits than its factorization.

114744635500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 114744635500 in words is "one hundred fourteen billion, seven hundred forty-four million, six hundred thirty-five thousand, five hundred".