Search a number
-
+
2023341010440 = 23352353103134291
BaseRepresentation
bin11101011100011000100…
…001011010111000001000
321011102121010002000221020
4131130120201122320020
5231122300244313230
64145302055512440
7266116163551131
oct35343041327010
97142533060836
102023341010440
11710104285462
12288178988720
13118a5317ca59
146dd04788c88
15379721ec810
hex1d71885ae08

2023341010440 has 256 divisors, whose sum is σ = 6516148654080. Its totient is φ = 501441008640.

The previous prime is 2023341010409. The next prime is 2023341010447. The reversal of 2023341010440 is 440101433202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2023341010440.

It is not an unprimeable number, because it can be changed into a prime (2023341010447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14999695 + ... + 15133985.

It is an arithmetic number, because the mean of its divisors is an integer number (25453705680).

Almost surely, 22023341010440 is an apocalyptic number.

2023341010440 is a gapful number since it is divisible by the number (20) 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 2023341010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258074327040).

2023341010440 is an abundant number, since it is smaller than the sum of its proper divisors (4492807643640).

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

2023341010440 is a wasteful number, since it uses less digits than its factorization.

2023341010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134484 (or 134480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2023341010440 its reverse (440101433202), we get a palindrome (2463442443642).

The spelling of 2023341010440 in words is "two trillion, twenty-three billion, three hundred forty-one million, ten thousand, four hundred forty".