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1444112324226 = 23311131711000749
BaseRepresentation
bin10101000000111011110…
…011010101011010000010
312010001111200010001022000
4111000323303111122002
5142130020223333401
63023225510524430
7206222310136215
oct25007363253202
95101450101260
101444112324226
115074988393a0
121b3a66366716
13a6243948080
144dc7700977c
1527870ba8186
hex1503bcd5682

1444112324226 has 128 divisors (see below), whose sum is σ = 3991952160000. Its totient is φ = 380185850880.

The previous prime is 1444112324203. The next prime is 1444112324261. The reversal of 1444112324226 is 6224232114441.

1444112324226 is a `hidden beast` number, since 1 + 4 + 4 + 411 + 232 + 4 + 2 + 2 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5369101 + ... + 5631648.

It is an arithmetic number, because the mean of its divisors is an integer number (31187126250).

Almost surely, 21444112324226 is an apocalyptic number.

1444112324226 is an abundant number, since it is smaller than the sum of its proper divisors (2547839835774).

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

1444112324226 is a wasteful number, since it uses less digits than its factorization.

1444112324226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000801 (or 11000795 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 1444112324226 its reverse (6224232114441), we get a palindrome (7668344438667).

The spelling of 1444112324226 in words is "one trillion, four hundred forty-four billion, one hundred twelve million, three hundred twenty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 99 102 117 143 153 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 918 1122 1287 1326 1683 1989 2431 2574 3366 3861 3978 4862 5049 5967 7293 7722 10098 11934 14586 21879 43758 65637 131274 11000749 22001498 33002247 66004494 99006741 121008239 143009737 187012733 198013482 242016478 286019474 297020223 363024717 374025466 429029211 561038199 594040446 726049434 858058422 1089074151 1122076398 1287087633 1573107107 1683114597 2057140063 2178148302 2431165529 2574175266 3146214214 3267222453 3366229194 3861262899 4114280126 4719321321 4862331058 5049343791 6171420189 6534444906 7293496587 7722525798 9438642642 10098687582 12342840378 14157963963 14586993174 18514260567 21880489761 26742820819 28315927926 37028521134 42473891889 43760979522 53485641638 55542781701 65641469283 80228462457 84947783778 111085563402 131282938566 160456924914 240685387371 481370774742 722056162113 1444112324226