Search a number
-
+
2444324240540 = 225713234310391307
BaseRepresentation
bin100011100100011101000…
…100111111110010011100
322122200020011021221022102
4203210131010333302130
5310021434001144130
65110523531304232
7341411430143120
oct43443504776234
98580204257272
102444324240540
118626a5346136
123358872ab078
13149663ab0a80
148643d657580
15438b0d2e645
hex2391d13fc9c

2444324240540 has 384 divisors, whose sum is σ = 6757286215680. Its totient is φ = 721497756672.

The previous prime is 2444324240531. The next prime is 2444324240543. The reversal of 2444324240540 is 450424234442.

It is a junction number, because it is equal to n+sod(n) for n = 2444324240494 and 2444324240503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444324240543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1870178567 + ... + 1870179873.

It is an arithmetic number, because the mean of its divisors is an integer number (17597099520).

Almost surely, 22444324240540 is an apocalyptic number.

2444324240540 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 2444324240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378643107840).

2444324240540 is an abundant number, since it is smaller than the sum of its proper divisors (4312961975140).

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

2444324240540 is a wasteful number, since it uses less digits than its factorization.

2444324240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 38.

Adding to 2444324240540 its reverse (450424234442), we get a palindrome (2894748474982).

The spelling of 2444324240540 in words is "two trillion, four hundred forty-four billion, three hundred twenty-four million, two hundred forty thousand, five hundred forty".