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20442040112 = 2413197576833
BaseRepresentation
bin10011000010011100…
…001100011100110000
31221202122022020021202
4103002130030130300
5313331130240422
613220235510332
71322400321404
oct230234143460
957678266252
1020442040112
11873aaa932a
123b65bb83a8
131c0a148530
14dbccb1104
157e9985b92
hex4c270c730

20442040112 has 80 divisors (see below), whose sum is σ = 44963892960. Its totient is φ = 8925106176.

The previous prime is 20442040051. The next prime is 20442040117. The reversal of 20442040112 is 21104024402.

It is not an unprimeable number, because it can be changed into a prime (20442040117) 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, 2988248 + ... + 2995080.

It is an arithmetic number, because the mean of its divisors is an integer number (562048662).

Almost surely, 220442040112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481946480).

20442040112 is an abundant number, since it is smaller than the sum of its proper divisors (24521852848).

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

20442040112 is a wasteful number, since it uses less digits than its factorization.

20442040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20442040112 its reverse (21104024402), we get a palindrome (41546064514).

The spelling of 20442040112 in words is "twenty billion, four hundred forty-two million, forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 757 988 1514 1976 3028 3952 6056 6833 9841 12112 13666 14383 19682 27332 28766 39364 54664 57532 78728 88829 109328 115064 129827 157456 177658 186979 230128 259654 355316 373958 519308 710632 747916 1038616 1421264 1495832 1687751 2077232 2991664 3375502 5172581 6751004 10345162 13502008 20690324 27004016 41380648 67243553 82761296 98279039 134487106 196558078 268974212 393116156 537948424 786232312 1075896848 1277627507 1572464624 2555255014 5110510028 10221020056 20442040112