Search a number
-
+
20441022144 = 2634318113679
BaseRepresentation
bin10011000010011000…
…010011111011000000
31221202120101111220020
4103002120103323000
5313330400202034
613220202013440
71322355551514
oct230230237300
957676344806
1020441022144
11873a473534
123b657a7280
131c09b8009a
14dbcac8144
157e9834249
hex4c2613ec0

20441022144 has 112 divisors (see below), whose sum is σ = 55651115520. Its totient is φ = 6617963520.

The previous prime is 20441022143. The next prime is 20441022163. The reversal of 20441022144 is 44122014402.

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

It is not an unprimeable number, because it can be changed into a prime (20441022143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487497 + ... + 1501175.

It is an arithmetic number, because the mean of its divisors is an integer number (496884960).

Almost surely, 220441022144 is an apocalyptic number.

20441022144 is a gapful number since it is divisible by the number (24) 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 20441022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825557760).

20441022144 is an abundant number, since it is smaller than the sum of its proper divisors (35210093376).

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

20441022144 is a wasteful number, since it uses less digits than its factorization.

20441022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13918 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20441022144 its reverse (44122014402), we get a palindrome (64563036546).

The spelling of 20441022144 in words is "twenty billion, four hundred forty-one million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 181 192 258 344 362 516 543 688 724 1032 1086 1376 1448 2064 2172 2752 2896 4128 4344 5792 7783 8256 8688 11584 13679 15566 17376 23349 27358 31132 34752 41037 46698 54716 62264 82074 93396 109432 124528 164148 186792 218864 249056 328296 373584 437728 498112 588197 656592 747168 875456 1176394 1313184 1494336 1764591 2352788 2475899 2626368 3529182 4705576 4951798 7058364 7427697 9411152 9903596 14116728 14855394 18822304 19807192 28233456 29710788 37644608 39614384 56466912 59421576 79228768 106463657 112933824 118843152 158457536 212927314 237686304 319390971 425854628 475372608 638781942 851709256 1277563884 1703418512 2555127768 3406837024 5110255536 6813674048 10220511072 20441022144