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21432442321242 = 2333591105562897
BaseRepresentation
bin1001101111110001000010…
…00111000111100101011010
32210212220212202101222102000
410313320201013013211122
510302122120213234432
6113325532244221430
74341304620610611
oct467704107074532
983786782358360
1021432442321242
1169134a1a47467
1224a190169a876
13bc60bc2688a4
1454149b3ca878
1527279125557c
hex137e211c795a

21432442321242 has 32 divisors (see below), whose sum is σ = 47760317193600. Its totient is φ = 7124247301824.

The previous prime is 21432442321217. The next prime is 21432442321249. The reversal of 21432442321242 is 24212324423412.

21432442321242 is a `hidden beast` number, since 2 + 1 + 4 + 324 + 4 + 2 + 321 + 2 + 4 + 2 = 666.

It is a super-3 number, since 3×214324423212423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21432442321197 and 21432442321206.

It is not an unprimeable number, because it can be changed into a prime (21432442321249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552762063 + ... + 552800834.

It is an arithmetic number, because the mean of its divisors is an integer number (1492509912300).

Almost surely, 221432442321242 is an apocalyptic number.

21432442321242 is an abundant number, since it is smaller than the sum of its proper divisors (26327874872358).

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

21432442321242 is a wasteful number, since it uses less digits than its factorization.

21432442321242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105563267 (or 1105563261 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 21432442321242 its reverse (24212324423412), we get a palindrome (45644766744654).

The spelling of 21432442321242 in words is "twenty-one trillion, four hundred thirty-two billion, four hundred forty-two million, three hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 359 718 1077 2154 3231 6462 9693 19386 1105562897 2211125794 3316688691 6633377382 9950066073 19900132146 29850198219 59700396438 396897080023 793794160046 1190691240069 2381382480138 3572073720207 7144147440414 10716221160621 21432442321242