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112115412144 = 2433335977263
BaseRepresentation
bin110100001101010011…
…0010110110010110000
3101201101111221001022000
41220122212112302300
53314103021142034
6123301034214000
711046216164541
oct1503246266260
9351344831260
10112115412144
114360325560a
121988b284300
13a759852b78
1455d81224c8
152db2ba6599
hex1a1a996cb0

112115412144 has 80 divisors (see below), whose sum is σ = 321912729600. Its totient is φ = 37360194624.

The previous prime is 112115412133. The next prime is 112115412163. The reversal of 112115412144 is 441214511211.

112115412144 is a `hidden beast` number, since 112 + 1 + 1 + 541 + 2 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412457 + ... + 1489719.

It is an arithmetic number, because the mean of its divisors is an integer number (4023909120).

Almost surely, 2112115412144 is an apocalyptic number.

It is an amenable number.

112115412144 is an abundant number, since it is smaller than the sum of its proper divisors (209797317456).

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

112115412144 is a wasteful number, since it uses less digits than its factorization.

112115412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80639 (or 80627 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

Adding to 112115412144 its reverse (441214511211), we get a palindrome (553329923355).

The spelling of 112115412144 in words is "one hundred twelve billion, one hundred fifteen million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3359 6718 10077 13436 20154 26872 30231 40308 53744 60462 77263 80616 90693 120924 154526 161232 181386 231789 241848 309052 362772 463578 483696 618104 695367 725544 927156 1236208 1390734 1451088 1854312 2086101 2781468 3708624 4172202 5562936 8344404 11125872 16688808 33377616 259526417 519052834 778579251 1038105668 1557158502 2076211336 2335737753 3114317004 4152422672 4671475506 6228634008 7007213259 9342951012 12457268016 14014426518 18685902024 28028853036 37371804048 56057706072 112115412144