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21244142000403 = 337569997198139
BaseRepresentation
bin1001101010010010010011…
…00010011001100100010011
32210012220211210010120112000
410311021021202121210103
510241031000323003103
6113103231335005043
74321560433363440
oct465111142314423
983186753116460
1021244142000403
1168506543643a3
122471310209783
13bb1410b003ba
145363170ac9c7
1526c91eeccaa3
hex135249899913

21244142000403 has 64 divisors (see below), whose sum is σ = 36068454528000. Its totient is φ = 12105959162112.

The previous prime is 21244142000401. The next prime is 21244142000443. The reversal of 21244142000403 is 30400024144212.

21244142000403 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 414 + 200 + 0 + 40 + 3 = 666.

It is not a de Polignac number, because 21244142000403 - 21 = 21244142000401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21244142000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107119308 + ... + 107317446.

It is an arithmetic number, because the mean of its divisors is an integer number (563569602000).

Almost surely, 221244142000403 is an apocalyptic number.

21244142000403 is a deficient number, since it is larger than the sum of its proper divisors (14824312527597).

21244142000403 is a wasteful number, since it uses less digits than its factorization.

21244142000403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199721 (or 199715 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21244142000403 its reverse (30400024144212), we get a palindrome (51644166144615).

The spelling of 21244142000403 in words is "twenty-one trillion, two hundred forty-four billion, one hundred forty-two million, four hundred three", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 569 997 1707 2991 3983 5121 6979 8973 11949 15363 20937 26919 35847 62811 107541 188433 198139 567293 594417 1386973 1701879 1783251 3971051 4160919 5105637 5349753 11913153 12482757 15316911 35739459 37448271 107218377 112741091 197544583 338223273 592633749 789187637 1014669819 1382812081 1777901247 2367562911 3044009457 4148436243 5333703741 7102688733 12445308729 21308066199 37335926187 112402867727 337208603181 786820074089 1011625809543 2360460222267 3034877428629 7081380666801 21244142000403