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21224140042420 = 22571011501000003
BaseRepresentation
bin1001101001101101000010…
…10100111111000010110100
32210011000012210220211102101
410310312201110333002310
510240214014322324140
6113050122455351444
74320251655503230
oct464664124770264
983130183824371
1021224140042420
11684311a818307
122469469682584
13bac573bbb4c3
1453537a8375c0
1526c14dec699a
hex134da153f0b4

21224140042420 has 48 divisors (see below), whose sum is σ = 51442272137088. Its totient is φ = 7204800009600.

The previous prime is 21224140042349. The next prime is 21224140042421. The reversal of 21224140042420 is 2424004142212.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21224140042421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750485862 + ... + 750514141.

It is an arithmetic number, because the mean of its divisors is an integer number (1071714002856).

Almost surely, 221224140042420 is an apocalyptic number.

21224140042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21224140042420 is an abundant number, since it is smaller than the sum of its proper divisors (30218132094668).

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

21224140042420 is a wasteful number, since it uses less digits than its factorization.

21224140042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501000120 (or 1501000118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 21224140042420 its reverse (2424004142212), we get a palindrome (23648144184632).

The spelling of 21224140042420 in words is "twenty-one trillion, two hundred twenty-four billion, one hundred forty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 1501000003 3002000006 6004000012 7505000015 10507000021 15010000030 21014000042 30020000060 42028000084 52535000105 105070000210 151601000303 210140000420 303202000606 606404001212 758005001515 1061207002121 1516010003030 2122414004242 3032020006060 4244828008484 5306035010605 10612070021210 21224140042420