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4140132112 = 242341331829
BaseRepresentation
bin1111011011000101…
…0110011100010000
3101200112101111120101
43312301112130100
531434333211422
61522453222144
7204411354004
oct36661263420
911615344511
104140132112
111834aa6596
12976631954
1350c976c1c
142b3bd0704
15193705c27
hexf6c56710

4140132112 has 80 divisors (see below), whose sum is σ = 8610698880. Its totient is φ = 1923609600.

The previous prime is 4140132083. The next prime is 4140132121. The reversal of 4140132112 is 2112310414.

4140132112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4140132112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993714 + ... + 4994542.

It is an arithmetic number, because the mean of its divisors is an integer number (107633736).

Almost surely, 24140132112 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 4140132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305349440).

4140132112 is an abundant number, since it is smaller than the sum of its proper divisors (4470566768).

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

4140132112 is a wasteful number, since it uses less digits than its factorization.

4140132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4140132112 is about 64343.8583860185. The cubic root of 4140132112 is about 1605.7258534333.

Adding to 4140132112 its reverse (2112310414), we get a palindrome (6252442526).

The spelling of 4140132112 in words is "four billion, one hundred forty million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 331 368 656 662 829 943 1324 1658 1886 2648 3316 3772 5296 6632 7544 7613 13264 13571 15088 15226 19067 27142 30452 33989 38134 54284 60904 67978 76268 108568 121808 135956 152536 217136 271912 274399 305072 312133 543824 548798 624266 781747 1097596 1248532 1563494 2195192 2497064 3126988 4390384 4994128 6253976 6311177 11250359 12507952 12622354 22500718 25244708 45001436 50489416 90002872 100978832 180005744 258758257 517516514 1035033028 2070066056 4140132112