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12244011324440 = 2357312296159827
BaseRepresentation
bin1011001000101100011111…
…1100100001010000011000
31121100111221012102201110012
42302023013330201100120
53101101213344340230
642012453211341052
72402413005030530
oct262130774412030
947314835381405
1012244011324440
1139a0724212505
121458b7a751788
136aa7b3b4936c
14304882ccc4c0
151637650dc395
hexb22c7f21418

12244011324440 has 128 divisors (see below), whose sum is σ = 32642160537600. Its totient is φ = 4044788144640.

The previous prime is 12244011324439. The next prime is 12244011324469. The reversal of 12244011324440 is 4442311044221.

It is a junction number, because it is equal to n+sod(n) for n = 12244011324397 and 12244011324406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1092194 + ... + 5067633.

It is an arithmetic number, because the mean of its divisors is an integer number (255016879200).

Almost surely, 212244011324440 is an apocalyptic number.

12244011324440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244011324440 is an abundant number, since it is smaller than the sum of its proper divisors (20398149213160).

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

12244011324440 is a wasteful number, since it uses less digits than its factorization.

12244011324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160105 (or 6160101 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12244011324440 its reverse (4442311044221), we get a palindrome (16686322368661).

The spelling of 12244011324440 in words is "twelve trillion, two hundred forty-four billion, eleven million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 229 248 280 310 434 458 620 868 916 1085 1145 1240 1603 1736 1832 2170 2290 3206 4340 4580 6412 7099 8015 8680 9160 12824 14198 16030 28396 32060 35495 49693 56792 64120 70990 99386 141980 198772 248465 283960 397544 496930 993860 1987720 6159827 12319654 24639308 30799135 43118789 49278616 61598270 86237578 123196540 172475156 190954637 215593945 246393080 344950312 381909274 431187890 763818548 862375780 954773185 1336682459 1410600383 1527637096 1724751560 1909546370 2673364918 2821200766 3819092740 5346729836 5642401532 6683412295 7053001915 7638185480 9874202681 10693459672 11284803064 13366824590 14106003830 19748405362 26733649180 28212007660 39496810724 43728611873 49371013405 53467298360 56424015320 78993621448 87457223746 98742026810 174914447492 197484053620 218643059365 306100283111 349828894984 394968107240 437286118730 612200566222 874572237460 1224401132444 1530501415555 1749144474920 2448802264888 3061002831110 6122005662220 12244011324440