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14112100224 = 2732121310099
BaseRepresentation
bin11010010010010010…
…11000111110000000
31100102111101222011200
431021021120332000
5212400144201344
610252155141200
71006465605225
oct151111307600
940374358150
1014112100224
115a91a04852
12289a144800
13143b8cb181
1497c33794c
15578dc8069
hex349258f80

14112100224 has 96 divisors (see below), whose sum is σ = 40646541000. Its totient is φ = 4699689984.

The previous prime is 14112100207. The next prime is 14112100229. The reversal of 14112100224 is 42200121141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14112100197 and 14112100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112100229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392327 + ... + 1402425.

Almost surely, 214112100224 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 14112100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323270500).

14112100224 is an abundant number, since it is smaller than the sum of its proper divisors (26534440776).

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

14112100224 is a wasteful number, since it uses less digits than its factorization.

14112100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14112100224 its reverse (42200121141), we get a palindrome (56312221365).

The spelling of 14112100224 in words is "fourteen billion, one hundred twelve million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1213 2426 3639 4852 7278 9704 10099 10917 14556 19408 20198 21834 29112 30297 38816 40396 43668 58224 60594 77632 80792 87336 90891 116448 121188 155264 161584 174672 181782 232896 242376 323168 349344 363564 465792 484752 646336 698688 727128 969504 1292672 1397376 1454256 1939008 2908512 3878016 5817024 11634048 12250087 24500174 36750261 49000348 73500522 98000696 110250783 147001044 196001392 220501566 294002088 392002784 441003132 588004176 784005568 882006264 1176008352 1568011136 1764012528 2352016704 3528025056 4704033408 7056050112 14112100224