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14214144300 = 2235259803059
BaseRepresentation
bin11010011110011101…
…01010000100101100
31100200121102100022220
431033032222010230
5213102310104200
610310242235340
71012145142636
oct151716520454
940617370286
1014214144300
116034571aa4
122908355b50
131456aa9195
1498badba56
15582d334a0
hex34f3aa12c

14214144300 has 72 divisors (see below), whose sum is σ = 41823364800. Its totient is φ = 3726189120.

The previous prime is 14214144239. The next prime is 14214144311. The reversal of 14214144300 is 344141241.

14214144300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 383830 + ... + 419229.

Almost surely, 214214144300 is an apocalyptic number.

14214144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214144300 is an abundant number, since it is smaller than the sum of its proper divisors (27609220500).

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

14214144300 is a wasteful number, since it uses less digits than its factorization.

14214144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803135 (or 803128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14214144300 its reverse (344141241), we get a palindrome (14558285541).

The spelling of 14214144300 in words is "fourteen billion, two hundred fourteen million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 803059 1606118 2409177 3212236 4015295 4818354 8030590 9636708 12045885 16061180 20076475 24091770 40152950 47380481 48183540 60229425 80305900 94760962 120458850 142141443 189521924 236902405 240917700 284282886 473804810 568565772 710707215 947609620 1184512025 1421414430 2369024050 2842828860 3553536075 4738048100 7107072150 14214144300