Search a number
-
+
14343295008 = 2537137155797
BaseRepresentation
bin11010101101110110…
…10101000000100000
31101000121102212210110
431112323111000200
5213333340420013
610331134331320
71015303665420
oct152673250040
941017385713
1014343295008
1160a0463919
122943659b40
131477788213
149a0d1a480
1558e3452c3
hex356ed5020

14343295008 has 96 divisors (see below), whose sum is σ = 43344249984. Its totient is φ = 4068145152.

The previous prime is 14343294947. The next prime is 14343295009. The reversal of 14343295008 is 80059234341.

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

It is a super-2 number, since 2×143432950082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14343295009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14166 + ... + 169962.

It is an arithmetic number, because the mean of its divisors is an integer number (451502604).

Almost surely, 214343295008 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 14343295008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672124992).

14343295008 is an abundant number, since it is smaller than the sum of its proper divisors (29000954976).

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

14343295008 is a wasteful number, since it uses less digits than its factorization.

14343295008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155954 (or 155946 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 14343295008 in words is "fourteen billion, three hundred forty-three million, two hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30688 46032 92064 155797 311594 467391 623188 934782 1090579 1246376 1869564 2181158 2492752 3271737 3739128 4362316 4985504 6543474 7478256 8724632 13086948 14956512 17449264 21344189 26173896 34898528 42688378 52347792 64032567 85376756 104695584 128065134 149409323 170753512 256130268 298818646 341507024 448227969 512260536 597637292 683014048 896455938 1024521072 1195274584 1792911876 2049042144 2390549168 3585823752 4781098336 7171647504 14343295008