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14433234432 = 29371132347
BaseRepresentation
bin11010111000100100…
…11010111000000000
31101020212200021111020
431130102122320000
5214024402000212
610344110145440
71020445316451
oct153422327000
941225607436
1014433234432
116137203721
1229697b2280
1314902b8706
149acc4d128
155971add8c
hex35c49ae00

14433234432 has 80 divisors (see below), whose sum is σ = 38992897152. Its totient is φ = 4743280640.

The previous prime is 14433234421. The next prime is 14433234449. The reversal of 14433234432 is 23443233441.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14433234393 and 14433234402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42883 + ... + 175229.

Almost surely, 214433234432 is an apocalyptic number.

14433234432 is a gapful number since it is divisible by the number (12) 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 14433234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496448576).

14433234432 is an abundant number, since it is smaller than the sum of its proper divisors (24559662720).

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

14433234432 is an equidigital number, since it uses as much as digits as its factorization.

14433234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132439 (or 132423 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 14433234432 its reverse (23443233441), we get a palindrome (37876467873).

Subtracting 14433234432 from its reverse (23443233441), we obtain a palindrome (9009999009).

It can be divided in two parts, 14433 and 234432, that added together give a triangular number (248865 = T705).

The spelling of 14433234432 in words is "fourteen billion, four hundred thirty-three million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 27264 36352 54528 109056 132347 264694 397041 529388 794082 1058776 1588164 2117552 3176328 4235104 6352656 8470208 9396637 12705312 16940416 18793274 25410624 28189911 33880832 37586548 50821248 56379822 67761664 75173096 101642496 112759644 150346192 203284992 225519288 300692384 451038576 601384768 902077152 1202769536 1804154304 2405539072 3608308608 4811078144 7216617216 14433234432