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112236141681840 = 24351142513690031
BaseRepresentation
bin11001100001010000000011…
…010110110001110010110000
3112201101200002200121222120110
4121201100003112301302300
5104202334104232304330
61034412323252341320
732432536135302501
oct3141200326616260
9481350080558513
10112236141681840
1132842097a97720
1210708148914840
134a81a90761547
141da038888aba8
15ce97bda60db0
hex6614035b1cb0

112236141681840 has 80 divisors (see below), whose sum is σ = 379562224605696. Its totient is φ = 27208761619200.

The previous prime is 112236141681817. The next prime is 112236141681869. The reversal of 112236141681840 is 48186141632211.

112236141681840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 112236141681840.

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, 21256842376 + ... + 21256847655.

Almost surely, 2112236141681840 is an apocalyptic number.

112236141681840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112236141681840 is an abundant number, since it is smaller than the sum of its proper divisors (267326082923856).

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

112236141681840 is a wasteful number, since it uses less digits than its factorization.

112236141681840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42513690058 (or 42513690052 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 112236141681840 in words is "one hundred twelve trillion, two hundred thirty-six billion, one hundred forty-one million, six hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 42513690031 85027380062 127541070093 170054760124 212568450155 255082140186 340109520248 425136900310 467650590341 510164280372 637705350465 680219040496 850273800620 935301180682 1020328560744 1275410700930 1402951771023 1700547601240 1870602361364 2040657121488 2338252951705 2550821401860 2805903542046 3401095202480 3741204722728 4676505903410 5101642803720 5611807084092 7014758855115 7482409445456 9353011806820 10203285607440 11223614168184 14029517710230 18706023613640 22447228336368 28059035420460 37412047227280 56118070840920 112236141681840