Search a number
-
+
40983842240 = 2651122514217
BaseRepresentation
bin100110001010110100…
…111100110111000000
310220210020022220022222
4212022310330313000
51132413330422430
630454441550212
72650421624345
oct461264746700
9126706286288
1040983842240
1116421346300
127b394a5368
133b31b53133
141dab1107cc
1510ed0759e5
hex98ad3cdc0

40983842240 has 168 divisors, whose sum is σ = 107724311856. Its totient is φ = 14840320000.

The previous prime is 40983842239. The next prime is 40983842261. The reversal of 40983842240 is 4224838904.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 40983842191 and 40983842200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9716612 + ... + 9720828.

It is an arithmetic number, because the mean of its divisors is an integer number (641216142).

Almost surely, 240983842240 is an apocalyptic number.

40983842240 is a gapful number since it is divisible by the number (40) 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 40983842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53862155928).

40983842240 is an abundant number, since it is smaller than the sum of its proper divisors (66740469616).

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

40983842240 is a wasteful number, since it uses less digits than its factorization.

40983842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 40983842240 in words is "forty billion, nine hundred eighty-three million, eight hundred forty-two thousand, two hundred forty".