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21421414688148 = 2232595039296893
BaseRepresentation
bin1001101111011100011111…
…10100000010010110010100
32210211212102012222011200200
410313232033310002112110
510301432024130010043
6113320510111540500
74340434424355036
oct467561764022624
983755365864620
1021421414688148
116909853155502
12249b74452a730
13bc50526b76c7
14540b329a5c56
152723480587d3
hex137b8fd02594

21421414688148 has 18 divisors (see below), whose sum is σ = 54148576017354. Its totient is φ = 7140471562704.

The previous prime is 21421414688027. The next prime is 21421414688279. The reversal of 21421414688148 is 84188641412412.

21421414688148 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 414 + 6 + 88 + 148 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14656432170384 + 6764982517764 = 3828372^2 + 2600958^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 21421414688094 and 21421414688103.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 297519648411 + ... + 297519648482.

Almost surely, 221421414688148 is an apocalyptic number.

It is an amenable number.

21421414688148 is an abundant number, since it is smaller than the sum of its proper divisors (32727161329206).

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

21421414688148 is a wasteful number, since it uses less digits than its factorization.

21421414688148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595039296903 (or 595039296898 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The spelling of 21421414688148 in words is "twenty-one trillion, four hundred twenty-one billion, four hundred fourteen million, six hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 595039296893 1190078593786 1785117890679 2380157187572 3570235781358 5355353672037 7140471562716 10710707344074 21421414688148