Search a number
-
+
40112535320 = 235111324159223
BaseRepresentation
bin100101010110111001…
…001011011100011000
310211112111210220221022
4211112321023130120
51124122302112240
630232154502012
72620011632054
oct452671133430
9124474726838
1040112535320
1116014531540
127935734908
133a23494900
141d27502c64
15109b8159b5
hex956e4b718

40112535320 has 384 divisors, whose sum is σ = 111563827200. Its totient is φ = 12855398400.

The previous prime is 40112535313. The next prime is 40112535329. The reversal of 40112535320 is 2353521104.

It is a happy number.

40112535320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40112535320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112535329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179876729 + ... + 179876951.

It is an arithmetic number, because the mean of its divisors is an integer number (290530800).

Almost surely, 240112535320 is an apocalyptic number.

40112535320 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 40112535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55781913600).

40112535320 is an abundant number, since it is smaller than the sum of its proper divisors (71451291880).

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

40112535320 is a wasteful number, since it uses less digits than its factorization.

40112535320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 40112535320 in words is "forty billion, one hundred twelve million, five hundred thirty-five thousand, three hundred twenty".