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14011332244 = 22721347791481
BaseRepresentation
bin11010000110010001…
…11111011010010100
31100011110210102111021
431003020333122110
5212143400112434
610234155250524
71004133234100
oct150310773224
940143712437
1014011332244
115a40039328
122870449a44
131423a78c50
1496cbc6900
15570120cb4
hex34323f694

14011332244 has 144 divisors (see below), whose sum is σ = 31789255680. Its totient is φ = 5352721920.

The previous prime is 14011332233. The next prime is 14011332301. The reversal of 14011332244 is 44223311041.

14011332244 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 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 47 ways as a sum of consecutive naturals, for example, 9459984 + ... + 9461464.

It is an arithmetic number, because the mean of its divisors is an integer number (220758720).

Almost surely, 214011332244 is an apocalyptic number.

14011332244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894627840).

14011332244 is an abundant number, since it is smaller than the sum of its proper divisors (17777923436).

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

14011332244 is a wasteful number, since it uses less digits than its factorization.

14011332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14011332244 its reverse (44223311041), we get a palindrome (58234643285).

The spelling of 14011332244 in words is "fourteen billion, eleven million, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 47 49 52 79 91 94 98 158 182 188 196 316 329 364 553 611 637 658 1027 1106 1222 1274 1316 1481 2054 2212 2303 2444 2548 2962 3713 3871 4108 4277 4606 5924 7189 7426 7742 8554 9212 10367 14378 14852 15484 17108 19253 20734 25991 28756 29939 38506 41468 48269 50323 51982 59878 69607 72569 77012 96538 100646 103964 116999 119756 134771 139214 145138 181937 193076 201292 233998 269542 278428 290276 337883 363874 467996 487249 539084 675766 727748 818993 904891 943397 974498 1351532 1520987 1637986 1809782 1886794 1948996 2365181 3041974 3275972 3410743 3619564 3773588 4730362 5498953 5732951 6083948 6334237 6821486 9460724 10646909 10997906 11465902 12668474 13642972 21293818 21995812 22931804 25336948 38492671 42587636 44339659 71486389 74528363 76985342 88679318 142972778 149056726 153970684 177358636 269448697 285945556 298113452 500404723 538897394 1000809446 1077794788 2001618892 3502833061 7005666122 14011332244