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14433300432 = 2432100231253
BaseRepresentation
bin11010111000100101…
…01010111111010000
31101020212210122000200
431130102222333100
5214024411103212
610344111415200
71020446013045
oct153422527720
941225718020
1014433300432
116137249271
122969824500
13149030c775
149acc691cc
155971c36dc
hex35c4aafd0

14433300432 has 30 divisors (see below), whose sum is σ = 40393195362. Its totient is φ = 4811100096.

The previous prime is 14433300403. The next prime is 14433300433. The reversal of 14433300432 is 23400333441.

It can be written as a sum of positive squares in only one way, i.e., 14420167056 + 13133376 = 120084^2 + 3624^2 .

It is a super-2 number, since 2×144333004322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14433300396 and 14433300405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433300433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50115483 + ... + 50115770.

Almost surely, 214433300432 is an apocalyptic number.

14433300432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14433300432 is an abundant number, since it is smaller than the sum of its proper divisors (25959894930).

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

14433300432 is a wasteful number, since it uses less digits than its factorization.

14433300432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100231267 (or 100231258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 14433300432 its reverse (23400333441), we get a palindrome (37833633873).

The spelling of 14433300432 in words is "fourteen billion, four hundred thirty-three million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 100231253 200462506 300693759 400925012 601387518 801850024 902081277 1202775036 1603700048 1804162554 2405550072 3608325108 4811100144 7216650216 14433300432