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2320143265440 = 25325731113107307
BaseRepresentation
bin100001110000110011010…
…100001010111010100000
322012210200202212210012100
4201300303110022322200
5301003123133443230
64533505322130400
7326424212235000
oct41606324127240
98183622783170
102320143265440
11814a704295a0
123157ab350a00
1313aa3364c350
148041cd2c000
1540543ca6660
hex21c3350aea0

2320143265440 has 2304 divisors, whose sum is σ = 10984464691200. Its totient is φ = 439427358720.

The previous prime is 2320143265409. The next prime is 2320143265457. The reversal of 2320143265440 is 445623410232.

2320143265440 is a `hidden beast` number, since 2 + 3 + 201 + 4 + 3 + 2 + 6 + 5 + 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 = 2320143265395 and 2320143265404.

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 383 ways as a sum of consecutive naturals, for example, 7557469767 + ... + 7557470073.

It is an arithmetic number, because the mean of its divisors is an integer number (4767562800).

Almost surely, 22320143265440 is an apocalyptic number.

2320143265440 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 2320143265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492232345600).

2320143265440 is an abundant number, since it is smaller than the sum of its proper divisors (8664321425760).

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

2320143265440 is a wasteful number, since it uses less digits than its factorization.

2320143265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2320143265440 its reverse (445623410232), we get a palindrome (2765766675672).

The spelling of 2320143265440 in words is "two trillion, three hundred twenty billion, one hundred forty-three million, two hundred sixty-five thousand, four hundred forty".