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22042410211044 = 223468032130281
BaseRepresentation
bin1010000001100001001100…
…00001111101011011100100
32220001020022110121022010000
411000300212001331123210
510342120324003223134
6114514050553101300
74433340321253056
oct500604601753344
986036273538100
1022042410211044
117029151a13113
12257bb726b7830
13c3b78a04cc32
14562c034358d6
1528359123be99
hex140c2607d6e4

22042410211044 has 30 divisors (see below), whose sum is σ = 57623214348854. Its totient is φ = 7347470070240.

The previous prime is 22042410211021. The next prime is 22042410211051. The reversal of 22042410211044 is 44011201424022.

22042410211044 is a `hidden beast` number, since 2 + 20 + 424 + 1 + 0 + 211 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14222613178944 + 7819797032100 = 3771288^2 + 2796390^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22042410210999 and 22042410211017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34016064817 + ... + 34016065464.

Almost surely, 222042410211044 is an apocalyptic number.

It is an amenable number.

22042410211044 is an abundant number, since it is smaller than the sum of its proper divisors (35580804137810).

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

22042410211044 is a wasteful number, since it uses less digits than its factorization.

22042410211044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68032130297 (or 68032130286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 22042410211044 its reverse (44011201424022), we get a palindrome (66053611635066).

The spelling of 22042410211044 in words is "twenty-two trillion, forty-two billion, four hundred ten million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 68032130281 136064260562 204096390843 272128521124 408192781686 612289172529 816385563372 1224578345058 1836867517587 2449156690116 3673735035174 5510602552761 7347470070348 11021205105522 22042410211044