Search a number
-
+
21444041000 = 2353197199547
BaseRepresentation
bin10011111110001010…
…100001100100101000
32001100110202011002202
4103332022201210220
5322404133303000
613503512115332
71356255224654
oct237612414450
961313664082
1021444041000
119104669438
1241a5695b48
132039906375
141075dbda64
1585790edd5
hex4fe2a1928

21444041000 has 128 divisors (see below), whose sum is σ = 50779872000. Its totient is φ = 8475667200.

The previous prime is 21444040999. The next prime is 21444041033. The reversal of 21444041000 is 14044412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39202727 + ... + 39203273.

It is an arithmetic number, because the mean of its divisors is an integer number (396717750).

Almost surely, 221444041000 is an apocalyptic number.

21444041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21444041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389936000).

21444041000 is an abundant number, since it is smaller than the sum of its proper divisors (29335831000).

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

21444041000 is a wasteful number, since it uses less digits than its factorization.

21444041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21444041000 its reverse (14044412), we get a palindrome (21458085412).

The spelling of 21444041000 in words is "twenty-one billion, four hundred forty-four million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 199 200 250 394 398 500 547 788 796 985 995 1000 1094 1576 1592 1970 1990 2188 2735 3940 3980 4376 4925 4975 5470 7880 7960 9850 9950 10940 13675 19700 19900 21880 24625 24875 27350 39203 39400 39800 49250 49750 54700 68375 78406 98500 99500 107759 108853 109400 136750 156812 196015 197000 199000 215518 217706 273500 313624 392030 431036 435412 538795 544265 547000 784060 862072 870824 980075 1077590 1088530 1568120 1960150 2155180 2177060 2693975 2721325 3920300 4310360 4354120 4900375 5387950 5442650 7840600 9800750 10775900 10885300 13469875 13606625 19601500 21444041 21551800 21770600 26939750 27213250 39203000 42888082 53879500 54426500 85776164 107220205 107759000 108853000 171552328 214440410 428880820 536101025 857761640 1072202050 2144404100 2680505125 4288808200 5361010250 10722020500 21444041000