Search a number
-
+
14490622128 = 2434136720063
BaseRepresentation
bin11010111111011010…
…10101100010110000
31101101212122212121110
431133231111202300
5214134044402003
610353520153320
71022043153513
oct153755254260
941355585543
1014490622128
11616663a974
122984a68840
13149c15c628
149b670ad7a
1559c247a03
hex35fb558b0

14490622128 has 80 divisors (see below), whose sum is σ = 38453538816. Its totient is φ = 4699322880.

The previous prime is 14490622121. The next prime is 14490622141. The reversal of 14490622128 is 82122609441.

It is a Cunningham number, because it is equal to 1203772-1.

It is not an unprimeable number, because it can be changed into a prime (14490622121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712225 + ... + 732287.

Almost surely, 214490622128 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 14490622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226769408).

14490622128 is an abundant number, since it is smaller than the sum of its proper divisors (23962916688).

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

14490622128 is a wasteful number, since it uses less digits than its factorization.

14490622128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20482 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 14490622128 in words is "fourteen billion, four hundred ninety million, six hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 367 492 656 734 984 1101 1468 1968 2202 2936 4404 5872 8808 15047 17616 20063 30094 40126 45141 60188 60189 80252 90282 120376 120378 160504 180564 240752 240756 321008 361128 481512 722256 822583 963024 1645166 2467749 3290332 4935498 6580664 7363121 9870996 13161328 14726242 19741992 22089363 29452484 39483984 44178726 58904968 88357452 117809936 176714904 301887961 353429808 603775922 905663883 1207551844 1811327766 2415103688 3622655532 4830207376 7245311064 14490622128