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21422322441414 = 2336715313867433
BaseRepresentation
bin1001101111011110001011…
…11010110101110011000110
32210211221202111001211002000
410313233011322311303012
510301440404021111124
6113321140140130130
74340466056215026
oct467570572656306
983757674054060
1021422322441414
11690a1795a2a14
12249b958536946
13bc516879710b
14540bbb37da86
1527239cab76c9
hex137bc5eb5cc6

21422322441414 has 64 divisors (see below), whose sum is σ = 48347256526080. Its totient is φ = 7029599100480.

The previous prime is 21422322441413. The next prime is 21422322441419. The reversal of 21422322441414 is 41414422322412.

21422322441414 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 2 + 3 + 224 + 414 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422322441413) 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, 3605442 + ... + 7472874.

It is an arithmetic number, because the mean of its divisors is an integer number (755425883220).

Almost surely, 221422322441414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422322441414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173628263040).

21422322441414 is an abundant number, since it is smaller than the sum of its proper divisors (26924934084666).

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

21422322441414 is a wasteful number, since it uses less digits than its factorization.

21422322441414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869042 (or 3869036 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 21422322441414 its reverse (41414422322412), we get a palindrome (62836744763826).

The spelling of 21422322441414 in words is "twenty-one trillion, four hundred twenty-two billion, three hundred twenty-two million, four hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1531 1809 3062 3618 4593 9186 13779 27558 41337 82674 102577 205154 307731 615462 923193 1846386 2769579 3867433 5539158 7734866 11602299 23204598 34806897 69613794 104420691 208841382 259118011 518236022 777354033 1554708066 2332062099 4664124198 5921039923 6996186297 11842079846 13992372594 17763119769 35526239538 53289359307 106578718614 159868077921 319736155842 396709674841 793419349682 1190129024523 2380258049046 3570387073569 7140774147138 10711161220707 21422322441414