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14202305000 = 2354131511447
BaseRepresentation
bin11010011101000010…
…11111100111101000
31100122210010211212022
431032201133213220
5213041242230000
610305140404012
71011642413012
oct151641374750
940583124768
1014202305000
116028915a54
1229043a6608
1314544c2390
1498a2d91b2
15581c95585
hex34e85f9e8

14202305000 has 160 divisors (see below), whose sum is σ = 36097944960. Its totient is φ = 5205600000.

The previous prime is 14202304999. The next prime is 14202305021. The reversal of 14202305000 is 50320241.

It is a self number, because there is not a number n which added to its sum of digits gives 14202305000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9814277 + ... + 9815723.

It is an arithmetic number, because the mean of its divisors is an integer number (225612156).

Almost surely, 214202305000 is an apocalyptic number.

14202305000 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 14202305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048972480).

14202305000 is an abundant number, since it is smaller than the sum of its proper divisors (21895639960).

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

14202305000 is a wasteful number, since it uses less digits than its factorization.

14202305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 14202305000 its reverse (50320241), we get a palindrome (14252625241).

The spelling of 14202305000 in words is "fourteen billion, two hundred two million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 151 200 250 260 302 325 500 520 604 625 650 755 1000 1208 1250 1300 1447 1510 1625 1963 2500 2600 2894 3020 3250 3775 3926 5000 5788 6040 6500 7235 7550 7852 8125 9815 11576 13000 14470 15100 15704 16250 18811 18875 19630 28940 30200 32500 36175 37622 37750 39260 49075 57880 65000 72350 75244 75500 78520 94055 94375 98150 144700 150488 151000 180875 188110 188750 196300 218497 245375 289400 361750 376220 377500 392600 436994 470275 490750 723500 752440 755000 873988 904375 940550 981500 1092485 1226875 1447000 1747976 1808750 1881100 1963000 2184970 2351375 2453750 2840461 3617500 3762200 4369940 4702750 4907500 5462425 5680922 7235000 8739880 9405500 9815000 10924850 11361844 11756875 14202305 18811000 21849700 22723688 23513750 27312125 28404610 43699400 47027500 54624250 56809220 71011525 94055000 109248500 113618440 136560625 142023050 218497000 273121250 284046100 355057625 546242500 568092200 710115250 1092485000 1420230500 1775288125 2840461000 3550576250 7101152500 14202305000