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14245010300 = 22521735031637
BaseRepresentation
bin11010100010001000…
…11001101101111100
31100202202111111112002
431101010121231330
5213133210312200
610313304001432
71013001406163
oct152104315574
940682444462
1014245010300
11604aa34094
122916760278
1314602c53a1
14991c543da
155858cdbd5
hex351119b7c

14245010300 has 72 divisors (see below), whose sum is σ = 31171192416. Its totient is φ = 5650351360.

The previous prime is 14245010281. The next prime is 14245010333. The reversal of 14245010300 is 301054241.

14245010300 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 (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8701082 + ... + 8702718.

It is an arithmetic number, because the mean of its divisors is an integer number (432933228).

Almost surely, 214245010300 is an apocalyptic number.

14245010300 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 14245010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585596208).

14245010300 is an abundant number, since it is smaller than the sum of its proper divisors (16926182116).

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

14245010300 is a wasteful number, since it uses less digits than its factorization.

14245010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14245010300 its reverse (301054241), we get a palindrome (14546064541).

The spelling of 14245010300 in words is "fourteen billion, two hundred forty-five million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 503 692 865 1006 1637 1730 2012 2515 3274 3460 4325 5030 6548 8185 8650 10060 12575 16370 17300 25150 32740 40925 50300 81850 87019 163700 174038 283201 348076 435095 566402 823411 870190 1132804 1416005 1646822 1740380 2175475 2832010 3293644 4117055 4350950 5664020 7080025 8234110 8701900 14160050 16468220 20585275 28320100 41170550 82341100 142450103 284900206 569800412 712250515 1424501030 2849002060 3561252575 7122505150 14245010300