Search a number
-
+
14013450336 = 2531710618093
BaseRepresentation
bin11010000110100010…
…00100100001100000
31100011121210000222010
431003101010201200
5212144420402321
610234312512520
71004160235224
oct150321044140
940147700863
1014013450336
115a41255716
1228710ab740
13142433b062
1496d1b8784
155703dd676
hex343444860

14013450336 has 96 divisors (see below), whose sum is σ = 38990675808. Its totient is φ = 4391690240.

The previous prime is 14013450307. The next prime is 14013450349. The reversal of 14013450336 is 63305431041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727506 + ... + 1735598.

It is an arithmetic number, because the mean of its divisors is an integer number (406152873).

Almost surely, 214013450336 is an apocalyptic number.

14013450336 is a gapful number since it is divisible by the number (16) 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 14013450336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495337904).

14013450336 is an abundant number, since it is smaller than the sum of its proper divisors (24977225472).

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

14013450336 is a wasteful number, since it uses less digits than its factorization.

14013450336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9176 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 14013450336 its reverse (63305431041), we get a palindrome (77318881377).

The spelling of 14013450336 in words is "fourteen billion, thirteen million, four hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1061 1632 2122 3183 4244 6366 8093 8488 12732 16186 16976 18037 24279 25464 32372 33952 36074 48558 50928 54111 64744 72148 97116 101856 108222 129488 137581 144296 194232 216444 258976 275162 288592 388464 412743 432888 550324 577184 776928 825486 865776 1100648 1650972 1731552 2201296 3301944 4402592 6603888 8586673 13207776 17173346 25760019 34346692 51520038 68693384 103040076 137386768 145973441 206080152 274773536 291946882 412160304 437920323 583893764 824320608 875840646 1167787528 1751681292 2335575056 3503362584 4671150112 7006725168 14013450336