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20441224040 = 2354112798143
BaseRepresentation
bin10011000010011001…
…000101001101101000
31221202120202202211212
4103002121011031220
5313330423132130
613220210212252
71322360352236
oct230231051550
957676682755
1020441224040
11873a5a1196
123b65884088
131c09c20c53
14dbcb3b956
157e9873e95
hex4c2645368

20441224040 has 64 divisors (see below), whose sum is σ = 47485992960. Its totient is φ = 7914170880.

The previous prime is 20441223989. The next prime is 20441224049. The reversal of 20441224040 is 4042214402.

It is a junction number, because it is equal to n+sod(n) for n = 20441223997 and 20441224015.

It is not an unprimeable number, because it can be changed into a prime (20441224049) 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, 159209 + ... + 257351.

It is an arithmetic number, because the mean of its divisors is an integer number (741968640).

Almost surely, 220441224040 is an apocalyptic number.

20441224040 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 20441224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742996480).

20441224040 is an abundant number, since it is smaller than the sum of its proper divisors (27044768920).

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

20441224040 is a wasteful number, since it uses less digits than its factorization.

20441224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98322 (or 98318 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 20441224040 its reverse (4042214402), we get a palindrome (24483438442).

The spelling of 20441224040 in words is "twenty billion, four hundred forty-one million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 508 635 820 1016 1270 1640 2540 5080 5207 10414 20828 26035 41656 52070 98143 104140 196286 208280 392572 490715 785144 981430 1962860 3925720 4023863 8047726 12464161 16095452 20119315 24928322 32190904 40238630 49856644 62320805 80477260 99713288 124641610 160954520 249283220 498566440 511030601 1022061202 2044122404 2555153005 4088244808 5110306010 10220612020 20441224040