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14202444200 = 2352724333703
BaseRepresentation
bin11010011101000100…
…00001100110101000
31100122210101220210212
431032202001212220
5213041311203300
610305143400252
71011643532600
oct151642014650
940583356725
1014202444200
116028a0059a
122904453088
131454540849
1498a333c00
15581cc1935
hex34e8819a8

14202444200 has 144 divisors (see below), whose sum is σ = 39306278880. Its totient is φ = 4756026240.

The previous prime is 14202444167. The next prime is 14202444227. The reversal of 14202444200 is 244420241.

It is a super-2 number, since 2×142024442002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404549 + ... + 438251.

It is an arithmetic number, because the mean of its divisors is an integer number (272960270).

Almost surely, 214202444200 is an apocalyptic number.

14202444200 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 14202444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653139440).

14202444200 is an abundant number, since it is smaller than the sum of its proper divisors (25103834680).

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

14202444200 is a wasteful number, since it uses less digits than its factorization.

14202444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33776 (or 33760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14202444200 its reverse (244420241), we get a palindrome (14446864441).

The spelling of 14202444200 in words is "fourteen billion, two hundred two million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 49 50 56 70 86 98 100 140 172 175 196 200 215 245 280 301 344 350 392 430 490 602 700 860 980 1075 1204 1225 1400 1505 1720 1960 2107 2150 2408 2450 3010 4214 4300 4900 6020 7525 8428 8600 9800 10535 12040 15050 16856 21070 30100 33703 42140 52675 60200 67406 84280 105350 134812 168515 210700 235921 269624 337030 421400 471842 674060 842575 943684 1179605 1348120 1449229 1651447 1685150 1887368 2359210 2898458 3302894 3370300 4718420 5796916 5898025 6605788 6740600 7246145 8257235 9436840 10144603 11593832 11796050 13211576 14492290 16514470 20289206 23592100 28984580 33028940 36230725 40578412 41286175 47184200 50723015 57969160 66057880 71012221 72461450 81156824 82572350 101446030 142024442 144922900 165144700 202892060 253615075 284048884 289845800 330289400 355061105 405784120 507230150 568097768 710122210 1014460300 1420244420 1775305525 2028920600 2840488840 3550611050 7101222100 14202444200