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12240228940160 = 275131471181363
BaseRepresentation
bin1011001000011110011001…
…1111110111100110000000
31121100011011121012200122112
42302013212133313212000
53101020442102041120
642011030013554452
72402220166220234
oct262074637674600
947304147180575
1012240228940160
11399a063153191
1214582a3aa5a28
136aa33033c060
143046048245c4
151635e3000bc5
hexb21e67f7980

12240228940160 has 64 divisors (see below), whose sum is σ = 31512704816880. Its totient is φ = 4519469144064.

The previous prime is 12240228940141. The next prime is 12240228940187. The reversal of 12240228940160 is 6104982204221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 735582362 + ... + 735599001.

Almost surely, 212240228940160 is an apocalyptic number.

12240228940160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240228940160 is an abundant number, since it is smaller than the sum of its proper divisors (19272475876720).

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

12240228940160 is a wasteful number, since it uses less digits than its factorization.

12240228940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471181395 (or 1471181383 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 12240228940160 in words is "twelve trillion, two hundred forty billion, two hundred twenty-eight million, nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1471181363 2942362726 5884725452 7355906815 11769450904 14711813630 19125357719 23538901808 29423627260 38250715438 47077803616 58847254520 76501430876 94155607232 95626788595 117694509040 153002861752 188311214464 191253577190 235389018080 306005723504 382507154380 470778036160 612011447008 765014308760 941556072320 1224022894016 1530028617520 2448045788032 3060057235040 6120114470080 12240228940160