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20442021144 = 233172319311287
BaseRepresentation
bin10011000010011100…
…000111110100011000
31221202122021021021020
4103002130013310120
5313331124134034
613220235242440
71322400212166
oct230234076430
957678237236
1020442021144
11873aa96056
123b65ba9420
131c0a13c9cc
14dbcca8236
157e9980249
hex4c2707d18

20442021144 has 128 divisors (see below), whose sum is σ = 56761482240. Its totient is φ = 6102024192.

The previous prime is 20442021143. The next prime is 20442021191. The reversal of 20442021144 is 44112024402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442021143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805469 + ... + 1816755.

It is an arithmetic number, because the mean of its divisors is an integer number (443449080).

Almost surely, 220442021144 is an apocalyptic number.

20442021144 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 20442021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28380741120).

20442021144 is an abundant number, since it is smaller than the sum of its proper divisors (36319461096).

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

20442021144 is a wasteful number, since it uses less digits than its factorization.

20442021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11525 counting only the distinct ones).

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

Adding to 20442021144 its reverse (44112024402), we get a palindrome (64554045546).

The spelling of 20442021144 in words is "twenty billion, four hundred forty-two million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 193 204 276 386 391 408 552 579 772 782 1158 1173 1544 1564 2316 2346 3128 3281 4439 4632 4692 6562 8878 9384 9843 11287 13124 13317 17756 19686 22574 26248 26634 33861 35512 39372 45148 53268 67722 75463 78744 90296 106536 135444 150926 191879 226389 259601 270888 301852 383758 452778 519202 575637 603704 767516 778803 905556 1038404 1151274 1535032 1557606 1811112 2076808 2178391 2302548 3115212 4356782 4413217 4605096 6230424 6535173 8713564 8826434 13070346 13239651 17427128 17652868 26140692 26479302 35305736 37032647 50102993 52281384 52958604 74065294 100205986 105917208 111097941 148130588 150308979 200411972 222195882 296261176 300617958 400823944 444391764 601235916 851750881 888783528 1202471832 1703501762 2555252643 3407003524 5110505286 6814007048 10221010572 20442021144