Search a number
-
+
14434989480 = 2333540133331
BaseRepresentation
bin11010111000110010…
…00111010110101000
31101020222222102222000
431130121013112220
5214030324130410
610344211531000
71020466246302
oct153431072650
941228872860
1014434989480
1161381a227a
12296a2b9a60
1314907814c2
149ad188972
15597408dc0
hex35c6475a8

14434989480 has 128 divisors (see below), whose sum is σ = 48238070400. Its totient is φ = 3839616000.

The previous prime is 14434989479. The next prime is 14434989509. The reversal of 14434989480 is 8498943441.

14434989480 is a `hidden beast` number, since 1 + 4 + 43 + 49 + 89 + 480 = 666.

14434989480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 416415 + ... + 449745.

It is an arithmetic number, because the mean of its divisors is an integer number (376859925).

Almost surely, 214434989480 is an apocalyptic number.

14434989480 is a gapful number since it is divisible by the number (10) 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 14434989480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24119035200).

14434989480 is an abundant number, since it is smaller than the sum of its proper divisors (33803080920).

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

14434989480 is a wasteful number, since it uses less digits than its factorization.

14434989480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33752 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 14434989480 in words is "fourteen billion, four hundred thirty-four million, nine hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 401 540 802 1080 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 10827 12030 14436 16040 18045 21654 24060 28872 33331 36090 43308 48120 54135 66662 72180 86616 99993 108270 133324 144360 166655 199986 216540 266648 299979 333310 399972 433080 499965 599958 666620 799944 899937 999930 1199916 1333240 1499895 1799874 1999860 2399832 2999790 3599748 3999720 4499685 5999580 7199496 8999370 11999160 13365731 17998740 26731462 35997480 40097193 53462924 66828655 80194386 106925848 120291579 133657310 160388772 200485965 240583158 267314620 320777544 360874737 400971930 481166316 534629240 601457895 721749474 801943860 962332632 1202915790 1443498948 1603887720 1804373685 2405831580 2886997896 3608747370 4811663160 7217494740 14434989480