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21444244222410 = 23251773191997889
BaseRepresentation
bin1001110000000111000001…
…00011110011000111001010
32210221001100020202200020200
410320003200203303013022
510302320303010104120
6113335203320033030
74342203235246002
oct470034043630712
983831306680220
1021444244222410
1169184a88a4499
1224a4056002776
13bc7250360569
14541c9a99d002
15272c323e4e90
hex1380e08f31ca

21444244222410 has 96 divisors (see below), whose sum is σ = 59843438338320. Its totient is φ = 5308357607424.

The previous prime is 21444244222397. The next prime is 21444244222439. The reversal of 21444244222410 is 1422244244412.

21444244222410 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 424 + 4 + 2 + 224 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19621347300801 + 1822896921609 = 4429599^2 + 1350147^2 .

It is a super-2 number, since 2×214442442224102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95887255 + ... + 96110634.

Almost surely, 221444244222410 is an apocalyptic number.

21444244222410 is an abundant number, since it is smaller than the sum of its proper divisors (38399194115910).

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

21444244222410 is a wasteful number, since it uses less digits than its factorization.

21444244222410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191997992 (or 191997989 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 21444244222410 its reverse (1422244244412), we get a palindrome (22866488466822).

The spelling of 21444244222410 in words is "twenty-one trillion, four hundred forty-four billion, two hundred forty-four million, two hundred twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 73 85 90 102 146 153 170 219 255 306 365 438 510 657 730 765 1095 1241 1314 1530 2190 2482 3285 3723 6205 6570 7446 11169 12410 18615 22338 37230 55845 111690 191997889 383995778 575993667 959989445 1151987334 1727981001 1919978890 2879968335 3263964113 3455962002 5759936670 6527928226 8639905005 9791892339 14015845897 16319820565 17279810010 19583784678 28031691794 29375677017 32639641130 42047537691 48959461695 58751354034 70079229485 84095075382 97918923390 126142613073 140158458970 146878385085 210237688455 238269380249 252285226146 293756770170 420475376910 476538760498 630713065365 714808140747 1191346901245 1261426130730 1429616281494 2144424422241 2382693802490 3574040703735 4288848844482 7148081407470 10722122111205 21444244222410