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14130442800 = 2432523925123
BaseRepresentation
bin11010010100011110…
…10111001000110000
31100110202220212110100
431022033113020300
5212414343132200
610254052232400
71010110532145
oct151217271060
940422825410
1014130442800
115aa12a2901
1228a430b700
131442651076
149809503cc
1557a7ecd00
hex34a3d7230

14130442800 has 90 divisors (see below), whose sum is σ = 49036574132. Its totient is φ = 3768117120.

The previous prime is 14130442787. The next prime is 14130442801. The reversal of 14130442800 is 824403141.

14130442800 is a `hidden beast` number, since 14 + 130 + 442 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (14130442801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1958962 + ... + 1966161.

Almost surely, 214130442800 is an apocalyptic number.

14130442800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130442800 is an abundant number, since it is smaller than the sum of its proper divisors (34906131332).

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

14130442800 is a wasteful number, since it uses less digits than its factorization.

14130442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925147 (or 3925133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14130442800 its reverse (824403141), we get a palindrome (14954845941).

The spelling of 14130442800 in words is "fourteen billion, one hundred thirty million, four hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3925123 7850246 11775369 15700492 19625615 23550738 31400984 35326107 39251230 47101476 58876845 62801968 70652214 78502460 94202952 98128075 117753690 141304428 157004920 176630535 188405904 196256150 235507380 282608856 294384225 314009840 353261070 392512300 471014760 565217712 588768450 706522140 785024600 883152675 942029520 1177536900 1413044280 1570049200 1766305350 2355073800 2826088560 3532610700 4710147600 7065221400 14130442800