Search a number
-
+
40204220112 = 2432729758741
BaseRepresentation
bin100101011100010110…
…111011011011010000
310211202220022222211100
4211130112323123100
51124314240020422
630245231544400
72622204142500
oct453426733320
9124686288740
1040204220112
11160612636a1
12796038b100
133a39486674
141d3576ba00
1510a48c67ac
hex95c5bb6d0

40204220112 has 180 divisors, whose sum is σ = 132237523236. Its totient is φ = 11368304640.

The previous prime is 40204220099. The next prime is 40204220219. The reversal of 40204220112 is 21102240204.

It can be written as a sum of positive squares in 2 ways, for example, as 13948554816 + 26255665296 = 118104^2 + 162036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 655062 + ... + 713802.

Almost surely, 240204220112 is an apocalyptic number.

40204220112 is a gapful number since it is divisible by the number (42) 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 40204220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66118761618).

40204220112 is an abundant number, since it is smaller than the sum of its proper divisors (92033303124).

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

40204220112 is a wasteful number, since it uses less digits than its factorization.

40204220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58866 (or 58850 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40204220112 its reverse (21102240204), we get a palindrome (61306460316).

The spelling of 40204220112 in words is "forty billion, two hundred four million, two hundred twenty thousand, one hundred twelve".