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12041224303444 = 2275921815931151
BaseRepresentation
bin1010111100111001000011…
…1001011011001101010100
31120122010111121212200212221
42233032100321123031110
53034240411410202234
641335355001552124
72351643522553060
oct257162071331524
946563447780787
1012041224303444
113922722229176
1214258057a5644
136946372c574b
142d8b26a04aa0
1515d347143eb4
hexaf390e5b354

12041224303444 has 144 divisors (see below), whose sum is σ = 24695866331136. Its totient is φ = 5032146816000.

The previous prime is 12041224303319. The next prime is 12041224303447. The reversal of 12041224303444 is 44430342214021.

It is a super-2 number, since 2×120412243034442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041224303447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10461532269 + ... + 10461533419.

It is an arithmetic number, because the mean of its divisors is an integer number (171499071744).

Almost surely, 212041224303444 is an apocalyptic number.

12041224303444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12041224303444 is an abundant number, since it is smaller than the sum of its proper divisors (12654642027692).

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

12041224303444 is a wasteful number, since it uses less digits than its factorization.

12041224303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 12041224303444 its reverse (44430342214021), we get a palindrome (56471566517465).

The spelling of 12041224303444 in words is "twelve trillion, forty-one billion, two hundred twenty-four million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 59 118 181 236 362 413 593 724 826 1151 1186 1267 1652 2302 2372 2534 3481 4151 4604 5068 6962 8057 8302 10679 13924 16114 16604 21358 24367 32228 34987 42716 48734 67909 69974 74753 97468 107333 135818 139948 149506 208331 214666 244909 271636 299012 416662 429332 475363 489818 630061 682543 751331 833324 950726 979636 1260122 1365086 1458317 1502662 1901452 2064233 2520244 2730172 2916634 3005324 4006631 4128466 4410427 4777801 5833268 6332647 8013262 8256932 8820854 9555602 12291529 12665294 14449631 16026524 17641708 19111204 24583058 25330588 28046417 28899262 40270037 44328529 49166116 56092834 57798524 80540074 86040703 88657058 112185668 123540283 161080148 172081406 177314116 247080566 281890259 344162812 373626173 494161132 563780518 725200211 747252346 864781981 1127561036 1450400422 1494504692 1729563962 2375932183 2615383211 2900800844 3459127924 4751864366 5076401477 5230766422 7288876697 9503728732 10152802954 10461532844 14577753394 16631525281 20305605908 29155506788 33263050562 51022136879 66526101124 102044273758 204088547516 430043725123 860087450246 1720174900492 3010306075861 6020612151722 12041224303444