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24442143440 = 245111331413
BaseRepresentation
bin10110110000110111…
…011000001011010000
32100002102012112110212
4112300313120023100
5400024142042230
615121211543252
71523461535261
oct266067301320
970072175425
1024442143440
11a402a53150
1248a175ab28
1323c6aa4c90
14127c250968
15980c2b895
hex5b0dd82d0

24442143440 has 320 divisors, whose sum is σ = 70639478784. Its totient is φ = 7746048000.

The previous prime is 24442143421. The next prime is 24442143449. The reversal of 24442143440 is 4434124442.

It is a junction number, because it is equal to n+sod(n) for n = 24442143397 and 24442143406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24442143449) 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, 596149820 + ... + 596149860.

Almost surely, 224442143440 is an apocalyptic number.

24442143440 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 24442143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35319739392).

24442143440 is an abundant number, since it is smaller than the sum of its proper divisors (46197335344).

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

24442143440 is a wasteful number, since it uses less digits than its factorization.

24442143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 24442143440 its reverse (4434124442), we get a palindrome (28876267882).

The spelling of 24442143440 in words is "twenty-four billion, four hundred forty-two million, one hundred forty-three thousand, four hundred forty".