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4312042112 = 277171312161
BaseRepresentation
bin1000000010000010…
…01000101010000000
3102010111212102202102
410001001020222000
532312340321422
61551514005532
7211566516230
oct40101105200
912114772672
104312042112
111913043074
12a041168a8
13539477711
142cc97dcc0
151a3862192
hex101048a80

4312042112 has 128 divisors (see below), whose sum is σ = 10479300480. Its totient is φ = 1725235200.

The previous prime is 4312042087. The next prime is 4312042117. The reversal of 4312042112 is 2112402134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×43120421122 = 37187414351322841088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4312042117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994312 + ... + 1996472.

It is an arithmetic number, because the mean of its divisors is an integer number (81869535).

Almost surely, 24312042112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239650240).

4312042112 is an abundant number, since it is smaller than the sum of its proper divisors (6167258368).

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

4312042112 is a wasteful number, since it uses less digits than its factorization.

4312042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4312042112 is about 65666.1412906225. The cubic root of 4312042112 is about 1627.6499075149.

Adding to 4312042112 its reverse (2112402134), we get a palindrome (6424444246).

The spelling of 4312042112 in words is "four billion, three hundred twelve million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 131 136 224 238 262 272 448 476 524 544 896 917 952 1048 1088 1834 1904 2096 2161 2176 2227 3668 3808 4192 4322 4454 7336 7616 8384 8644 8908 14672 15127 15232 15589 16768 17288 17816 29344 30254 31178 34576 35632 36737 58688 60508 62356 69152 71264 73474 117376 121016 124712 138304 142528 146948 242032 249424 257159 276608 283091 285056 293896 484064 498848 514318 566182 587792 968128 997696 1028636 1132364 1175584 1936256 1981637 1995392 2057272 2264728 2351168 3963274 4114544 4529456 4702336 4812547 7926548 8229088 9058912 9625094 15853096 16458176 18117824 19250188 31706192 32916352 33687829 36235648 38500376 63412384 67375658 77000752 126824768 134751316 154001504 253649536 269502632 308003008 539005264 616006016 1078010528 2156021056 4312042112