Search a number
-
+
41540001296 = 2417311607809
BaseRepresentation
bin100110101011111110…
…100001111000010000
310222012222211201010112
4212223332201320100
51140033220020141
631025550220452
73000254120333
oct465376417020
9128188751115
1041540001296
111668727a892
1280737b4728
133bc013bb31
142020d2461a
151131cd37eb
hex9abfa1e10

41540001296 has 80 divisors (see below), whose sum is σ = 85738798080. Its totient is φ = 19429232640.

The previous prime is 41540001289. The next prime is 41540001301. The reversal of 41540001296 is 69210004514.

41540001296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51346940 + ... + 51347748.

It is an arithmetic number, because the mean of its divisors is an integer number (1071734976).

Almost surely, 241540001296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41540001296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42869399040).

41540001296 is an abundant number, since it is smaller than the sum of its proper divisors (44198796784).

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

41540001296 is a wasteful number, since it uses less digits than its factorization.

41540001296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 41540001296 in words is "forty-one billion, five hundred forty million, one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 311 607 622 809 1214 1244 1618 2428 2488 3236 4856 4976 5287 6472 9712 10319 10574 12944 13753 20638 21148 27506 41276 42296 55012 82552 84592 110024 165104 188777 220048 251599 377554 491063 503198 755108 982126 1006396 1510216 1964252 2012792 3020432 3209209 3928504 4025584 4277183 6418418 7857008 8348071 8554366 12836836 16696142 17108732 25673672 33392284 34217464 51347344 66784568 68434928 133569136 152720593 305441186 610882372 1221764744 2443529488 2596250081 5192500162 10385000324 20770000648 41540001296