Search a number
-
+
134343322800 = 2435217193071129
BaseRepresentation
bin111110100011101111…
…1000110110010110000
3110211202121122220102020
41331013133012302300
54200113342312200
6141414431351440
712464103255021
oct1750737066260
9424677586366
10134343322800
1151a7a337905
1222053382580
13c88c98211b
14670626cc48
153764303ea0
hex1f477c6cb0

134343322800 has 480 divisors, whose sum is σ = 481631673600. Its totient is φ = 31810682880.

The previous prime is 134343322747. The next prime is 134343322831. The reversal of 134343322800 is 8223343431.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118992636 + ... + 118993764.

It is an arithmetic number, because the mean of its divisors is an integer number (1003399320).

Almost surely, 2134343322800 is an apocalyptic number.

134343322800 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 134343322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240815836800).

134343322800 is an abundant number, since it is smaller than the sum of its proper divisors (347288350800).

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

134343322800 is a wasteful number, since it uses less digits than its factorization.

134343322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 134343322800 in words is "one hundred thirty-four billion, three hundred forty-three million, three hundred twenty-two thousand, eight hundred".