Search a number
-
+
14489200440 = 233251113833391
BaseRepresentation
bin11010111111001111…
…11010011100111000
31101101202222122102100
431133213322130320
5214133213403230
610353425503400
71022025112611
oct153747723470
941352878370
1014489200440
116165859820
1229844a1b60
13149ba824b0
149b645ac08
1559c066660
hex35f9fa738

14489200440 has 384 divisors, whose sum is σ = 56005447680. Its totient is φ = 3202329600.

The previous prime is 14489200399. The next prime is 14489200489. The reversal of 14489200440 is 4400298441.

14489200440 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 9 + 200 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14489200395 and 14489200404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4271145 + ... + 4274535.

It is an arithmetic number, because the mean of its divisors is an integer number (145847520).

Almost surely, 214489200440 is an apocalyptic number.

14489200440 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 14489200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28002723840).

14489200440 is an abundant number, since it is smaller than the sum of its proper divisors (41516247240).

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

14489200440 is a wasteful number, since it uses less digits than its factorization.

14489200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 14489200440 its reverse (4400298441), we get a palindrome (18889498881).

The spelling of 14489200440 in words is "fourteen billion, four hundred eighty-nine million, two hundred thousand, four hundred forty".