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21450205233441 = 342941222722749
BaseRepresentation
bin1001110000010010000111…
…10111010000000100100001
32210221121201200110102010000
410320021003313100010201
510302420010014432231
6113342031021130213
74342504040066625
oct470110367200441
983847650412100
1021450205233441
11691aa87715296
1224a523a3b9969
13bc7990327a1a
145422a453d185
15272e808ca6e6
hex138243dd0121

21450205233441 has 40 divisors (see below), whose sum is σ = 33956310465000. Its totient is φ = 13470271799040.

The previous prime is 21450205233397. The next prime is 21450205233493. The reversal of 21450205233441 is 14433250205412.

It is a happy number.

21450205233441 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 205 + 2 + 3 + 3 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4364217643041 + 17085987590400 = 2089071^2 + 4133520^2 .

It is not a de Polignac number, because 21450205233441 - 218 = 21450204971297 is a prime.

It is a super-2 number, since 2×214502052334412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21450205233396 and 21450205233405.

It is not an unprimeable number, because it can be changed into a prime (21450205234441) 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 39 ways as a sum of consecutive naturals, for example, 111265066 + ... + 111457683.

It is an arithmetic number, because the mean of its divisors is an integer number (848907761625).

Almost surely, 221450205233441 is an apocalyptic number.

It is an amenable number.

21450205233441 is a deficient number, since it is larger than the sum of its proper divisors (12506105231559).

21450205233441 is a wasteful number, since it uses less digits than its factorization.

21450205233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222722831 (or 222722822 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 21450205233441 its reverse (14433250205412), we get a palindrome (35883455438853).

The spelling of 21450205233441 in words is "twenty-one trillion, four hundred fifty billion, two hundred five million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 783 1107 1189 2349 3321 3567 10701 32103 96309 222722749 668168247 2004504741 6013514223 6458959721 9131632709 18040542669 19376879163 27394898127 58130637489 82184694381 174391912467 246554083143 264817348561 523175737401 739662249429 794452045683 2383356137049 7150068411147 21450205233441