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14341040000 = 2754725609
BaseRepresentation
bin11010101101100101…
…01110011110000000
31101000110012022111122
431112302232132000
5213332301240000
610331014131412
71015245554150
oct152662563600
941013168448
1014341040000
11609a163681
122942950b68
1314771789b1
149a08d0760
1558e04c085
hex356cae780

14341040000 has 160 divisors (see below), whose sum is σ = 40802876400. Its totient is φ = 4916736000.

The previous prime is 14341039961. The next prime is 14341040003. The reversal of 14341040000 is 4014341.

14341040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14341040003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 547196 + ... + 572804.

Almost surely, 214341040000 is an apocalyptic number.

14341040000 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 14341040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401438200).

14341040000 is an abundant number, since it is smaller than the sum of its proper divisors (26461836400).

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

14341040000 is an frugal number, since it uses more digits than its factorization.

14341040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14341040000 its reverse (4014341), we get a palindrome (14345054341).

The spelling of 14341040000 in words is "fourteen billion, three hundred forty-one million, forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 25609 28000 35000 40000 51218 56000 70000 80000 102436 112000 128045 140000 179263 204872 256090 280000 358526 409744 512180 560000 640225 717052 819488 896315 1024360 1280450 1434104 1638976 1792630 2048720 2560900 2868208 3201125 3277952 3585260 4097440 4481575 5121800 5736416 6402250 7170520 8194880 8963150 10243600 11472832 12804500 14341040 16005625 16389760 17926300 20487200 22407875 22945664 25609000 28682080 32011250 35852600 40974400 44815750 51218000 57364160 64022500 71705200 81948800 89631500 102436000 112039375 114728320 128045000 143410400 179263000 204872000 224078750 256090000 286820800 358526000 409744000 448157500 512180000 573641600 717052000 896315000 1024360000 1434104000 1792630000 2048720000 2868208000 3585260000 7170520000 14341040000