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14120045000 = 235423199617
BaseRepresentation
bin11010010011001111…
…01100100111001000
31100110001100121100122
431021213230213020
5212404212420000
610253041322412
71006623254645
oct151147544710
940401317318
1014120045000
115a96440886
1228a0936408
131440450419
1497d404dcc
15579947085
hex3499ec9c8

14120045000 has 160 divisors (see below), whose sum is σ = 34751376000. Its totient is φ = 5366592000.

The previous prime is 14120044963. The next prime is 14120045003. The reversal of 14120045000 is 54002141.

14120045000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14120045000.

It is not an unprimeable number, because it can be changed into a prime (14120045003) 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 39 ways as a sum of consecutive naturals, for example, 22884692 + ... + 22885308.

It is an arithmetic number, because the mean of its divisors is an integer number (217196100).

Almost surely, 214120045000 is an apocalyptic number.

14120045000 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 14120045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375688000).

14120045000 is an abundant number, since it is smaller than the sum of its proper divisors (20631331000).

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

14120045000 is a wasteful number, since it uses less digits than its factorization.

14120045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14120045000 its reverse (54002141), we get a palindrome (14174047141).

The spelling of 14120045000 in words is "fourteen billion, one hundred twenty million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 199 200 230 250 398 460 500 575 617 625 796 920 995 1000 1150 1234 1250 1592 1990 2300 2468 2500 2875 3085 3980 4577 4600 4936 4975 5000 5750 6170 7960 9154 9950 11500 12340 14191 14375 15425 18308 19900 22885 23000 24680 24875 28382 28750 30850 36616 39800 45770 49750 56764 57500 61700 70955 77125 91540 99500 113528 114425 115000 122783 123400 124375 141910 154250 183080 199000 228850 245566 248750 283820 308500 354775 385625 457700 491132 497500 567640 572125 613915 617000 709550 771250 915400 982264 995000 1144250 1227830 1419100 1542500 1773875 2288500 2455660 2824009 2838200 2860625 3069575 3085000 3547750 4577000 4911320 5648018 5721250 6139150 7095500 8869375 11296036 11442500 12278300 14120045 14191000 15347875 17738750 22592072 22885000 24556600 28240090 30695750 35477500 56480180 61391500 70600225 70955000 76739375 112960360 122783000 141200450 153478750 282400900 306957500 353001125 564801800 613915000 706002250 1412004500 1765005625 2824009000 3530011250 7060022500 14120045000