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21442344030 = 2335457173777
BaseRepresentation
bin10011111110000100…
…000011010001011110
32001100100112221022000
4103332010003101132
5322403220002110
613503411503130
71356234626352
oct237604032136
961310487260
1021442344030
11910370a488
1241a4bb7aa6
132039460b43
141075a9b462
158576c71c0
hex4fe10345e

21442344030 has 64 divisors (see below), whose sum is σ = 57305033280. Its totient is φ = 5705413632.

The previous prime is 21442344019. The next prime is 21442344043. The reversal of 21442344030 is 3044324412.

It is a happy number.

21442344030 is a `hidden beast` number, since 21 + 4 + 4 + 234 + 403 + 0 = 666.

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 = 21442343985 and 21442344003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36502 + ... + 210278.

It is an arithmetic number, because the mean of its divisors is an integer number (895391145).

Almost surely, 221442344030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28652516640).

21442344030 is an abundant number, since it is smaller than the sum of its proper divisors (35862689250).

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

21442344030 is a wasteful number, since it uses less digits than its factorization.

21442344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174250 (or 174244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21442344030 its reverse (3044324412), we get a palindrome (24486668442).

The spelling of 21442344030 in words is "twenty-one billion, four hundred forty-two million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 457 914 1371 2285 2742 4113 4570 6855 8226 12339 13710 20565 24678 41130 61695 123390 173777 347554 521331 868885 1042662 1563993 1737770 2606655 3127986 4691979 5213310 7819965 9383958 15639930 23459895 46919790 79416089 158832178 238248267 397080445 476496534 714744801 794160890 1191241335 1429489602 2144234403 2382482670 3573724005 4288468806 7147448010 10721172015 21442344030