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14434660320 = 2535263114343
BaseRepresentation
bin11010111000101111…
…10110111111100000
31101020222100201102220
431130113312333200
5214030233112240
610344200511040
71020463405533
oct153427667740
941228321386
1014434660320
116137a97a43
12296a17b480
131490697732
149ad100a1a
155973915d0
hex35c5f6fe0

14434660320 has 96 divisors (see below), whose sum is σ = 45642465792. Its totient is φ = 3834573312.

The previous prime is 14434660291. The next prime is 14434660343. The reversal of 14434660320 is 2306643441.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69069 + ... + 183411.

It is an arithmetic number, because the mean of its divisors is an integer number (475442352).

Almost surely, 214434660320 is an apocalyptic number.

14434660320 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 14434660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821232896).

14434660320 is an abundant number, since it is smaller than the sum of its proper divisors (31207805472).

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

14434660320 is a wasteful number, since it uses less digits than its factorization.

14434660320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114624 (or 114616 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 14434660320 in words is "fourteen billion, four hundred thirty-four million, six hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 263 480 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 21040 25248 31560 42080 63120 114343 126240 228686 343029 457372 571715 686058 914744 1143430 1372116 1715145 1829488 2286860 2744232 3430290 3658976 4573720 5488464 6860580 9147440 10976928 13721160 18294880 27442320 30072209 54884640 60144418 90216627 120288836 150361045 180433254 240577672 300722090 360866508 451083135 481155344 601444180 721733016 902166270 962310688 1202888360 1443466032 1804332540 2405776720 2886932064 3608665080 4811553440 7217330160 14434660320