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21420422441024 = 261746759970381
BaseRepresentation
bin1001101111011010101001…
…01010111010100001000000
32210211202212001212210112012
410313231110222322201000
510301423011121103044
6113320223424352052
74340401015404215
oct467552452724100
983752761783465
1021420422441024
116909394047562
12249b508175628
13bc4c24c63329
14540a7acb5b0c
152722dada959e
hex137b54aba840

21420422441024 has 112 divisors (see below), whose sum is σ = 45178825161600. Its totient is φ = 10041678766080.

The previous prime is 21420422440943. The next prime is 21420422441027. The reversal of 21420422441024 is 42014422402412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21420422441027) 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, 304314314 + ... + 304384694.

Almost surely, 221420422441024 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 21420422441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589412580800).

21420422441024 is an abundant number, since it is smaller than the sum of its proper divisors (23758402720576).

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

21420422441024 is a wasteful number, since it uses less digits than its factorization.

21420422441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71476 (or 71466 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 21420422441024 its reverse (42014422402412), we get a palindrome (63434844843436).

The spelling of 21420422441024 in words is "twenty-one trillion, four hundred twenty billion, four hundred twenty-two million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 467 544 599 934 1088 1198 1868 2396 3736 4792 7472 7939 9584 10183 14944 15878 19168 20366 29888 31756 38336 40732 63512 70381 81464 127024 140762 162928 254048 279733 281524 325856 508096 559466 563048 651712 1118932 1126096 1196477 2237864 2252192 2392954 4475728 4504384 4755461 4785908 8951456 9510922 9571816 17902912 19021844 19143632 32867927 38043688 38287264 42158219 65735854 76087376 76574528 84316438 131471708 152174752 168632876 262943416 304349504 337265752 525886832 558754759 674531504 716689723 1051773664 1117509518 1349063008 1433379446 2103547328 2235019036 2698126016 2866758892 4470038072 5733517784 8940076144 11467035568 17880152288 19687888273 22934071136 35760304576 39375776546 45868142272 78751553092 157503106184 315006212368 334694100641 630012424736 669388201282 1260024849472 1338776402564 2677552805128 5355105610256 10710211220512 21420422441024