Search a number
-
+
12242143241440 = 255713978636583
BaseRepresentation
bin1011001000100101100010…
…0110010110010011100000
31121100100010000022021022221
42302021120212112103200
53101033402132211230
642011544000040424
72402315502422440
oct262113046262340
947310100267287
1012242143241440
11399a955787062
121458739003114
136aa576b0c1c8
14304746b72120
151636a60d627a
hexb22589964e0

12242143241440 has 96 divisors (see below), whose sum is σ = 33291584202240. Its totient is φ = 4167109753344.

The previous prime is 12242143241413. The next prime is 12242143241473. The reversal of 12242143241440 is 4414234124221.

It is a super-2 number, since 2×122421432414402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12242143241396 and 12242143241405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39162612 + ... + 39473971.

It is an arithmetic number, because the mean of its divisors is an integer number (346787335440).

Almost surely, 212242143241440 is an apocalyptic number.

12242143241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242143241440 is an abundant number, since it is smaller than the sum of its proper divisors (21049440960800).

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

12242143241440 is a wasteful number, since it uses less digits than its factorization.

12242143241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78636744 (or 78636736 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 12242143241440 its reverse (4414234124221), we get a palindrome (16656377365661).

The spelling of 12242143241440 in words is "twelve trillion, two hundred forty-two billion, one hundred forty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 1112 1120 1390 1946 2224 2780 3892 4448 4865 5560 7784 9730 11120 15568 19460 22240 31136 38920 77840 155680 78636583 157273166 314546332 393182915 550456081 629092664 786365830 1100912162 1258185328 1572731660 2201824324 2516370656 2752280405 3145463320 4403648648 5504560810 6290926640 8807297296 10930485037 11009121620 12581853280 17614594592 21860970074 22018243240 43721940148 44036486480 54652425185 76513395259 87443880296 88072972960 109304850370 153026790518 174887760592 218609700740 306053581036 349775521184 382566976295 437219401480 612107162072 765133952590 874438802960 1224214324144 1530267905180 1748877605920 2448428648288 3060535810360 6121071620720 12242143241440