Search a number
-
+
21441242523200 = 265239233341569
BaseRepresentation
bin1001110000000001011011…
…01001001110011001000000
32210220202121001112120000212
410320000231221032121000
510302243131041220300
6113333545411133252
74342035656235233
oct470005551163100
983822531476025
1021441242523200
1169171a8483445
1224a35588a4228
13bc6b92502796
14541a9407341a
15272b08b17935
hex13802da4e640

21441242523200 has 84 divisors (see below), whose sum is σ = 52760356605060. Its totient is φ = 8576253296640.

The previous prime is 21441242523187. The next prime is 21441242523203. The reversal of 21441242523200 is 232524214412.

It can be written as a sum of positive squares in 6 ways, for example, as 5898913997824 + 15542328525376 = 2428768^2 + 3942376^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21441242523203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62602016 + ... + 62943584.

Almost surely, 221441242523200 is an apocalyptic number.

21441242523200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441242523200 is an abundant number, since it is smaller than the sum of its proper divisors (31319114081860).

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

21441242523200 is a wasteful number, since it uses less digits than its factorization.

21441242523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380824 (or 380809 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 21441242523200 its reverse (232524214412), we get a palindrome (21673766737612).

The spelling of 21441242523200 in words is "twenty-one trillion, four hundred forty-one billion, two hundred forty-two million, five hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 39233 78466 156932 196165 313864 341569 392330 627728 683138 784660 980825 1255456 1366276 1569320 1707845 1961650 2510912 2732552 3138640 3415690 3923300 5465104 6277280 6831380 7846600 8539225 10930208 12554560 13662760 15693200 17078450 21860416 27325520 31386400 34156900 54651040 62772800 68313800 109302080 136627600 273255200 546510400 13400776577 26801553154 53603106308 67003882885 107206212616 134007765770 214412425232 268015531540 335019414425 428824850464 536031063080 670038828850 857649700928 1072062126160 1340077657700 2144124252320 2680155315400 4288248504640 5360310630800 10720621261600 21441242523200