Search a number
-
+
40423211565840 = 2435531611099621
BaseRepresentation
bin10010011000011110000110…
…01010101000001100010000
312022010102101010011002200000
421030033003022220030100
520244243214130101330
6221550100024530000
711341323603022245
oct1114170312501420
9168112333132600
1040423211565840
111197542a109434
12464a357920900
131972b7aa6b73c
149da6cb2bd5cc
154a17792b6560
hex24c3c32a8310

40423211565840 has 480 divisors, whose sum is σ = 147706434849792. Its totient is φ = 10260774144000.

The previous prime is 40423211565829. The next prime is 40423211565889. The reversal of 40423211565840 is 4856511232404.

40423211565840 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 3 + 2 + 1 + 1 + 565 + 84 + 0 = 666.

40423211565840 is digitally balanced in base 5, 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 (45).

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 95 ways as a sum of consecutive naturals, for example, 36211230 + ... + 37310850.

Almost surely, 240423211565840 is an apocalyptic number.

40423211565840 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 40423211565840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73853217424896).

40423211565840 is an abundant number, since it is smaller than the sum of its proper divisors (107283223283952).

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

40423211565840 is a wasteful number, since it uses less digits than its factorization.

40423211565840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099741 (or 1099723 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 40423211565840 in words is "forty trillion, four hundred twenty-three billion, two hundred eleven million, five hundred sixty-five thousand, eight hundred forty".