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112241041344024 = 23325741943430347
BaseRepresentation
bin11001100001010100100111…
…011001100000011000011000
3112201102010202011012121112020
4121201110213121200120120
5104202424123041002044
61034414453401214440
732433101431610055
oct3141244731403030
9481363664177466
10112241041344024
11328441817a240a
1210709095791420
134a8239188b938
141da06d14b002c
15ce99a8c97a19
hex661527660618

112241041344024 has 64 divisors (see below), whose sum is σ = 282366750556800. Its totient is φ = 37179155718144.

The previous prime is 112241041344017. The next prime is 112241041344071. The reversal of 112241041344024 is 420443140142211.

It is a super-3 number, since 3×1122410413440243 (a number of 43 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19130782 + ... + 24299565.

It is an arithmetic number, because the mean of its divisors is an integer number (4411980477450).

Almost surely, 2112241041344024 is an apocalyptic number.

It is an amenable number.

112241041344024 is an abundant number, since it is smaller than the sum of its proper divisors (170125709212776).

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

112241041344024 is a wasteful number, since it uses less digits than its factorization.

112241041344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43431032 (or 43431028 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 112241041344024 its reverse (420443140142211), we get a palindrome (532684181486235).

The spelling of 112241041344024 in words is "one hundred twelve trillion, two hundred forty-one billion, forty-one million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 257 419 514 771 838 1028 1257 1542 1676 2056 2514 3084 3352 5028 6168 10056 107683 215366 323049 430732 646098 861464 1292196 2584392 43430347 86860694 130291041 173721388 260582082 347442776 521164164 1042328328 11161599179 18197315393 22323198358 33484797537 36394630786 44646396716 54591946179 66969595074 72789261572 89292793432 109183892358 133939190148 145578523144 218367784716 267878380296 436735569432 4676710056001 9353420112002 14030130168003 18706840224004 28060260336006 37413680448008 56120520672012 112241041344024