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14433005000 = 235416992
BaseRepresentation
bin11010111000100011…
…00010110111001000
31101020212020121202202
431130101202313020
5214024322130000
610344101215332
71020443342531
oct153421426710
941225217682
1014433005000
116137067307
122969701548
13149023815b
149acbcd688
15597165dd5
hex35c462dc8

14433005000 has 60 divisors (see below), whose sum is σ = 33836446215. Its totient is φ = 5769804000.

The previous prime is 14433004987. The next prime is 14433005003. The reversal of 14433005000 is 50033441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3336910756 + 11096094244 = 57766^2 + 105338^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84950.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14433005003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8494151 + ... + 8495849.

Almost surely, 214433005000 is an apocalyptic number.

14433005000 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 14433005000

14433005000 is an abundant number, since it is smaller than the sum of its proper divisors (19403441215).

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

14433005000 is an frugal number, since it uses more digits than its factorization.

14433005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 14433005000 its reverse (50033441), we get a palindrome (14483038441).

The spelling of 14433005000 in words is "fourteen billion, four hundred thirty-three million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1699 2500 3398 5000 6796 8495 13592 16990 33980 42475 67960 84950 169900 212375 339800 424750 849500 1061875 1699000 2123750 2886601 4247500 5773202 8495000 11546404 14433005 23092808 28866010 57732020 72165025 115464040 144330050 288660100 360825125 577320200 721650250 1443300500 1804125625 2886601000 3608251250 7216502500 14433005000