Search a number
-
+
40774375296 = 2733711071553
BaseRepresentation
bin100101111110010101…
…111001011110000000
310220020122011212201000
4211332111321132000
51132001220002141
630422000212000
72642266320504
oct457625713600
9126218155630
1040774375296
1116324087726
127a9b30a000
133aca632ab5
141d8b386304
1510d999b5b6
hex97e579780

40774375296 has 256 divisors, whose sum is σ = 123255820800. Its totient is φ = 13266247680.

The previous prime is 40774375283. The next prime is 40774375297. The reversal of 40774375296 is 69257347704.

40774375296 is a `hidden beast` number, since 4 + 0 + 77 + 43 + 7 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40774375297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26254456 + ... + 26256008.

It is an arithmetic number, because the mean of its divisors is an integer number (481468050).

Almost surely, 240774375296 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 40774375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61627910400).

40774375296 is an abundant number, since it is smaller than the sum of its proper divisors (82481445504).

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

40774375296 is a wasteful number, since it uses less digits than its factorization.

40774375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 40774375296 in words is "forty billion, seven hundred seventy-four million, three hundred seventy-five thousand, two hundred ninety-six".