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14075307584 = 2613117114447
BaseRepresentation
bin11010001101111010…
…00010011001000000
31100022221011201011022
431012331002121000
5212311234320314
610244402405012
71005541066112
oct150675023100
940287151138
1014075307584
115a73164a08
122889960768
1314340b8490
149774bb3b2
15575a5b78e
hex346f42640

14075307584 has 56 divisors (see below), whose sum is σ = 30106973568. Its totient is φ = 6490298880.

The previous prime is 14075307583. The next prime is 14075307619. The reversal of 14075307584 is 48570357041.

It is a super-2 number, since 2×140753075842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14075307583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967049 + ... + 981495.

It is an arithmetic number, because the mean of its divisors is an integer number (537624528).

Almost surely, 214075307584 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 14075307584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053486784).

14075307584 is an abundant number, since it is smaller than the sum of its proper divisors (16031665984).

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

14075307584 is a wasteful number, since it uses less digits than its factorization.

14075307584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 14075307584 in words is "fourteen billion, seventy-five million, three hundred seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1171 2342 4684 9368 14447 15223 18736 28894 30446 37472 57788 60892 74944 115576 121784 187811 231152 243568 375622 462304 487136 751244 924608 974272 1502488 3004976 6009952 12019904 16917437 33834874 67669748 135339496 219926681 270678992 439853362 541357984 879706724 1082715968 1759413448 3518826896 7037653792 14075307584