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21024341331444 = 223411149264714957
BaseRepresentation
bin1001100011111000111000…
…11001011000110111110100
32202102220111111101200120000
410301330130121120313310
510223430322340101234
6112414240555511300
74266646530462543
oct461743431306764
982386444350500
1021024341331444
11677641163a580
1224367a9458530
13b967824b8279
1452982539215a
15266d58563899
hex131f1c658df4

21024341331444 has 240 divisors, whose sum is σ = 60387552086400. Its totient is φ = 6325440387840.

The previous prime is 21024341331397. The next prime is 21024341331451. The reversal of 21024341331444 is 44413314342012.

21024341331444 is a `hidden beast` number, since 2 + 1 + 0 + 243 + 41 + 331 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21024341331399 and 21024341331408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1405644814 + ... + 1405659770.

It is an arithmetic number, because the mean of its divisors is an integer number (251614800360).

Almost surely, 221024341331444 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 21024341331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193776043200).

21024341331444 is an abundant number, since it is smaller than the sum of its proper divisors (39363210754956).

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

21024341331444 is a wasteful number, since it uses less digits than its factorization.

21024341331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17769 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 21024341331444 its reverse (44413314342012), we get a palindrome (65437655673456).

The spelling of 21024341331444 in words is "twenty-one trillion, twenty-four billion, three hundred forty-one million, three hundred thirty-one thousand, four hundred forty-four".