Search a number
-
+
40535760330 = 2325132171937223
BaseRepresentation
bin100101110000000111…
…101001110111001010
310212122000011222111200
4211300013221313022
51131004123312310
630342154005030
72633341164162
oct456007516712
9125560158450
1040535760330
111621141a77a
127a33416776
133a90078500
141d677d15a2
1510c3a659c0
hex9701e9dca

40535760330 has 576 divisors, whose sum is σ = 131220311040. Its totient is φ = 8617549824.

The previous prime is 40535760323. The next prime is 40535760373. The reversal of 40535760330 is 3306753504.

40535760330 is a `hidden beast` number, since 4 + 0 + 53 + 576 + 0 + 3 + 30 = 666.

40535760330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 181774599 + ... + 181774821.

It is an arithmetic number, because the mean of its divisors is an integer number (227813040).

Almost surely, 240535760330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40535760330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610155520).

40535760330 is an abundant number, since it is smaller than the sum of its proper divisors (90684550710).

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

40535760330 is a wasteful number, since it uses less digits than its factorization.

40535760330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 40535760330 in words is "forty billion, five hundred thirty-five million, seven hundred sixty thousand, three hundred thirty".