Search a number
-
+
42344232202440 = 23325773092298983
BaseRepresentation
bin10011010000011000010001…
…11010110011000011001000
312112221001212100101120211200
421220030020322303003020
521022231441420434230
6230020401032024200
711630161356016530
oct1150141072630310
9175831770346750
1042344232202440
11125460a7191563
1248ba719832060
131a8207578228c
14a656867944c0
154d670d6d1160
hex268308eb30c8

42344232202440 has 192 divisors, whose sum is σ = 157300163654400. Its totient is φ = 9677353222656.

The previous prime is 42344232202421. The next prime is 42344232202457. The reversal of 42344232202440 is 4420223244324.

42344232202440 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 4 + 2 + 3 + 2 + 202 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42344232202395 and 42344232202404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17269189 + ... + 19568171.

It is an arithmetic number, because the mean of its divisors is an integer number (819271685700).

Almost surely, 242344232202440 is an apocalyptic number.

42344232202440 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 42344232202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650081827200).

42344232202440 is an abundant number, since it is smaller than the sum of its proper divisors (114955931451960).

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

42344232202440 is a wasteful number, since it uses less digits than its factorization.

42344232202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306316 (or 2306309 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 42344232202440 its reverse (4420223244324), we get a palindrome (46764455446764).

The spelling of 42344232202440 in words is "forty-two trillion, three hundred forty-four billion, two hundred thirty-two million, two hundred two thousand, four hundred forty".