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14304319000 = 235319971881
BaseRepresentation
bin11010101001001101…
…01001011000011000
31100220220002200202121
431110212221120120
5213243401202000
610323223111024
71014321463636
oct152446513030
940826080677
1014304319000
116080462644
1229325a2474
13146c68c7aa
14999a92356
1558abe6b1a
hex3549a9618

14304319000 has 64 divisors (see below), whose sum is σ = 33640776000. Its totient is φ = 5692896000.

The previous prime is 14304318997. The next prime is 14304319031. The reversal of 14304319000 is 91340341.

It is a happy number.

It is a super-2 number, since 2×143043190002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 163060 + ... + 234940.

It is an arithmetic number, because the mean of its divisors is an integer number (525637125).

Almost surely, 214304319000 is an apocalyptic number.

14304319000 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 14304319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820388000).

14304319000 is an abundant number, since it is smaller than the sum of its proper divisors (19336457000).

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

14304319000 is a wasteful number, since it uses less digits than its factorization.

14304319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72101 (or 72087 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 14304319000 its reverse (91340341), we get a palindrome (14395659341).

The spelling of 14304319000 in words is "fourteen billion, three hundred four million, three hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 7960 9950 19900 24875 39800 49750 71881 99500 143762 199000 287524 359405 575048 718810 1437620 1797025 2875240 3594050 7188100 8985125 14304319 14376200 17970250 28608638 35940500 57217276 71521595 71881000 114434552 143043190 286086380 357607975 572172760 715215950 1430431900 1788039875 2860863800 3576079750 7152159500 14304319000