Search a number
-
+
243238929634008 = 2334711311131391641
BaseRepresentation
bin110111010011100101111001…
…111111110001001011011000
31011220020102012020002100020000
4313103211321333301023120
5223340211311441242013
62221154231024333000
7102143301300122610
oct6723457177611330
91156212166070200
10243238929634008
117055a061609540
1223345401474160
13a595442a817a9
14440cb8145ba40
151d1c3094ca973
hexdd3979ff12d8

243238929634008 has 640 divisors, whose sum is σ = 884565953187840. Its totient is φ = 60599798784000.

The previous prime is 243238929633983. The next prime is 243238929634031. The reversal of 243238929634008 is 800436929832342.

It is a happy number.

243238929634008 is a `hidden beast` number, since 2 + 43 + 23 + 89 + 2 + 96 + 3 + 400 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174089868 + ... + 175481508.

It is an arithmetic number, because the mean of its divisors is an integer number (1382134301856).

Almost surely, 2243238929634008 is an apocalyptic number.

243238929634008 is a gapful number since it is divisible by the number (28) 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 243238929634008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442282976593920).

243238929634008 is an abundant number, since it is smaller than the sum of its proper divisors (641327023553832).

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

243238929634008 is a wasteful number, since it uses less digits than its factorization.

243238929634008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391821 (or 1391808 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 243238929634008 in words is "two hundred forty-three trillion, two hundred thirty-eight billion, nine hundred twenty-nine million, six hundred thirty-four thousand, eight".