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20240341440 = 26351117313637
BaseRepresentation
bin10010110110011010…
…110001100111000000
31221020120202212201120
4102312122301213000
5312423011411230
613144232432240
71314401030544
oct226632614700
957216685646
1020240341440
118647166110
123b0a548680
131ba7417cc7
14da01a9a24
157d6de3310
hex4b66b19c0

20240341440 has 448 divisors, whose sum is σ = 76644569088. Its totient is φ = 4467916800.

The previous prime is 20240341421. The next prime is 20240341441. The reversal of 20240341440 is 4414304202.

It is a happy number.

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 20240341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240341441) 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, 5563302 + ... + 5566938.

Almost surely, 220240341440 is an apocalyptic number.

20240341440 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 20240341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38322284544).

20240341440 is an abundant number, since it is smaller than the sum of its proper divisors (56404227648).

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

20240341440 is a wasteful number, since it uses less digits than its factorization.

20240341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20240341440 its reverse (4414304202), we get a palindrome (24654645642).

The spelling of 20240341440 in words is "twenty billion, two hundred forty million, three hundred forty-one thousand, four hundred forty".