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21124444000 = 255311480101
BaseRepresentation
bin10011101011000111…
…010110111101100000
32000112012100221102211
4103223013112331200
5321230324202000
613412054051504
71345324545202
oct235307267540
960465327384
1021124444000
118a6021a490
124116649b94
131cb863670a
141045788772
1583982e7ba
hex4eb1d6f60

21124444000 has 96 divisors (see below), whose sum is σ = 56621309472. Its totient is φ = 7681600000.

The previous prime is 21124443997. The next prime is 21124444007. The reversal of 21124444000 is 44442112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124444007) 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 15 ways as a sum of consecutive naturals, for example, 196051 + ... + 284050.

It is an arithmetic number, because the mean of its divisors is an integer number (589805307).

Almost surely, 221124444000 is an apocalyptic number.

21124444000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124444000 is an abundant number, since it is smaller than the sum of its proper divisors (35496865472).

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

21124444000 is a wasteful number, since it uses less digits than its factorization.

21124444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480137 (or 480119 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21124444000 its reverse (44442112), we get a palindrome (21168886112).

It can be divided in two parts, 21124 and 444000, that added together give a square (465124 = 6822).

The spelling of 21124444000 in words is "twenty-one billion, one hundred twenty-four million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 480101 960202 1920404 2400505 3840808 4801010 5281111 7681616 9602020 10562222 12002525 15363232 19204040 21124444 24005050 26405555 38408080 42248888 48010100 52811110 60012625 76816160 84497776 96020200 105622220 120025250 132027775 168995552 192040400 211244440 240050500 264055550 384080800 422488880 480101000 528111100 660138875 844977760 960202000 1056222200 1320277750 1920404000 2112444400 2640555500 4224888800 5281111000 10562222000 21124444000