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14248041808 = 24711132273919
BaseRepresentation
bin11010100010011111…
…11101110101010000
31100202222012111222011
431101033331311100
5213134444314213
610313452552304
71013036233330
oct152117756520
940688174864
1014248041808
116051714770
122917782694
131460b17190
149924030c0
15585ccc03d
hex3513fdd50

14248041808 has 160 divisors (see below), whose sum is σ = 37237616640. Its totient is φ = 5100295680.

The previous prime is 14248041791. The next prime is 14248041811. The reversal of 14248041808 is 80814084241.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3633673 + ... + 3637591.

It is an arithmetic number, because the mean of its divisors is an integer number (232735104).

Almost surely, 214248041808 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 14248041808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618808320).

14248041808 is an abundant number, since it is smaller than the sum of its proper divisors (22989574832).

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

14248041808 is a wasteful number, since it uses less digits than its factorization.

14248041808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 14248041808 in words is "fourteen billion, two hundred forty-eight million, forty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 227 286 308 364 454 572 616 728 908 1001 1144 1232 1456 1589 1816 2002 2288 2497 2951 3178 3632 3919 4004 4994 5902 6356 7838 8008 9988 11804 12712 15676 16016 17479 19976 20657 23608 25424 27433 31352 32461 34958 39952 41314 43109 47216 50947 54866 62704 64922 69916 82628 86218 101894 109732 129844 139832 165256 172436 203788 219464 227227 259688 279664 301763 330512 344872 356629 407576 438928 454454 519376 560417 603526 689744 713258 815152 889613 908908 1120834 1207052 1426516 1779226 1817816 2241668 2414104 2853032 3558452 3635632 3922919 4483336 4828208 5706064 6227291 7116904 7845838 8966672 9785743 11564969 12454582 14233808 15691676 19571486 23129938 24909164 31383352 39142972 46259876 49818328 62766704 68500201 78285944 80954783 92519752 99636656 127214659 137000402 156571888 161909566 185039504 254429318 274000804 323819132 508858636 548001608 647638264 890502613 1017717272 1096003216 1295276528 1781005226 2035434544 3562010452 7124020904 14248041808