Search a number
-
+
40990808430 = 233511131971787
BaseRepresentation
bin100110001011001111…
…100001100101101110
310220210201102211011000
4212023033201211232
51132422121332210
630455251141130
72650535060055
oct461317414556
9126721384130
1040990808430
1116425274090
127b3b8a47a6
133b33421b40
141dac00539c
1510ed99eac0
hex98b3e196e

40990808430 has 512 divisors, whose sum is σ = 137255731200. Its totient is φ = 8556710400.

The previous prime is 40990808407. The next prime is 40990808431. The reversal of 40990808430 is 3480809904.

It is a happy number.

40990808430 is a `hidden beast` number, since 409 + 90 + 80 + 84 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40990808431) 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 255 ways as a sum of consecutive naturals, for example, 52084497 + ... + 52085283.

It is an arithmetic number, because the mean of its divisors is an integer number (268077600).

Almost surely, 240990808430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40990808430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68627865600).

40990808430 is an abundant number, since it is smaller than the sum of its proper divisors (96264922770).

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

40990808430 is a wasteful number, since it uses less digits than its factorization.

40990808430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40990808430 in words is "forty billion, nine hundred ninety million, eight hundred eight thousand, four hundred thirty".