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14193000450 = 2325237983219
BaseRepresentation
bin11010011011111100…
…00000000000000010
31100122010122010102100
431031332000000002
5213031402003300
610304205131230
71011500341026
oct151576000002
940563563370
1014193000450
116023640342
122901259b16
1314525b5225
14988d96386
15581058700
hex34df80002

14193000450 has 72 divisors (see below), whose sum is σ = 38232932400. Its totient is φ = 3774768480.

The previous prime is 14193000449. The next prime is 14193000467. The reversal of 14193000450 is 5400039141.

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, 128941 + ... + 212159.

It is an arithmetic number, because the mean of its divisors is an integer number (531012950).

Almost surely, 214193000450 is an apocalyptic number.

14193000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14193000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116466200).

14193000450 is an abundant number, since it is smaller than the sum of its proper divisors (24039931950).

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

14193000450 is a wasteful number, since it uses less digits than its factorization.

14193000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83616 (or 83608 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 14193000450 its reverse (5400039141), we get a palindrome (19593039591).

The spelling of 14193000450 in words is "fourteen billion, one hundred ninety-three million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 379 450 758 1137 1895 2274 3411 3790 5685 6822 9475 11370 17055 18950 28425 34110 56850 83219 85275 166438 170550 249657 416095 499314 748971 832190 1248285 1497942 2080475 2496570 3744855 4160950 6241425 7489710 12482850 18724275 31540001 37448550 63080002 94620003 157700005 189240006 283860009 315400010 473100015 567720018 788500025 946200030 1419300045 1577000050 2365500075 2838600090 4731000150 7096500225 14193000450