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14005130300 = 2252761734493
BaseRepresentation
bin11010000101100010…
…10101010000111100
31100011001010100000122
431002301111100330
5212140303132200
610233414314112
71004026433450
oct150261252074
940131110018
1014005130300
115a37592757
12286a358938
1314226b7065
1496c050660
1556e7e8385
hex342c5543c

14005130300 has 144 divisors (see below), whose sum is σ = 35793667392. Its totient is φ = 4657305600.

The previous prime is 14005130291. The next prime is 14005130303. The reversal of 14005130300 is 303150041.

It is a super-2 number, since 2×140051303002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005130303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3114854 + ... + 3119346.

Almost surely, 214005130300 is an apocalyptic number.

14005130300 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 14005130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896833696).

14005130300 is an abundant number, since it is smaller than the sum of its proper divisors (21788537092).

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

14005130300 is a wasteful number, since it uses less digits than its factorization.

14005130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 14005130300 its reverse (303150041), we get a palindrome (14308280341).

The spelling of 14005130300 in words is "fourteen billion, five million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 73 100 122 140 146 175 244 292 305 350 365 427 511 610 700 730 854 1022 1220 1460 1525 1708 1825 2044 2135 2555 3050 3650 4270 4453 4493 5110 6100 7300 8540 8906 8986 10220 10675 12775 17812 17972 21350 22265 22465 25550 31171 31451 42700 44530 44930 51100 62342 62902 89060 89860 111325 112325 124684 125804 155855 157255 222650 224650 274073 311710 314510 327989 445300 449300 548146 623420 629020 655978 779275 786275 1096292 1311956 1370365 1558550 1572550 1639945 1918511 2295923 2740730 3117100 3145100 3279890 3837022 4591846 5481460 6559780 6851825 7674044 8199725 9183692 9592555 11479615 13703650 16399450 19185110 20007329 22959230 27407300 32798900 38370220 40014658 45918460 47962775 57398075 80029316 95925550 100036645 114796150 140051303 191851100 200073290 229592300 280102606 400146580 500183225 560205212 700256515 1000366450 1400513030 2000732900 2801026060 3501282575 7002565150 14005130300