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14224163156 = 22724315111177
BaseRepresentation
bin11010011111101001…
…11000000101010100
31100201022021100121122
431033310320011110
5213112341210111
610311241103112
71012326251300
oct151764700524
940638240548
1014224163156
11603a195345
12290b787a98
131458ba64b8
1498d188d00
15583b61cdb
hex34fd38154

14224163156 has 72 divisors (see below), whose sum is σ = 29828627136. Its totient is φ = 5914339200.

The previous prime is 14224163137. The next prime is 14224163159. The reversal of 14224163156 is 65136142241.

14224163156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224163159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1267040 + ... + 1278216.

It is an arithmetic number, because the mean of its divisors is an integer number (414286488).

Almost surely, 214224163156 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 14224163156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914313568).

14224163156 is an abundant number, since it is smaller than the sum of its proper divisors (15604463980).

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

14224163156 is a wasteful number, since it uses less digits than its factorization.

14224163156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11389 (or 11380 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The spelling of 14224163156 in words is "fourteen billion, two hundred twenty-four million, one hundred sixty-three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 151 172 196 301 302 602 604 1057 1204 2107 2114 4214 4228 6493 7399 8428 11177 12986 14798 22354 25972 29596 44708 45451 78239 90902 156478 181804 312956 318157 480611 547673 636314 961222 1095346 1272628 1687727 1922444 2190692 3364277 3375454 6728554 6750908 11814089 13457108 23549939 23628178 47099878 47256356 72572261 82698623 94199756 145144522 165397246 290289044 330794492 508005827 1016011654 2032023308 3556040789 7112081578 14224163156