Search a number
-
+
14333033000 = 23531113113887
BaseRepresentation
bin11010101100101000…
…01011101000101000
31100222220010111222002
431112110023220220
5213323224024000
610330130350132
71015120525136
oct152624135050
940886114862
1014333033000
116095694920
12294012b348
131475604320
1499d808756
1558d4b98d5
hex35650ba28

14333033000 has 256 divisors, whose sum is σ = 39796323840. Its totient is φ = 4763136000.

The previous prime is 14333032969. The next prime is 14333033009. The reversal of 14333033000 is 33033341.

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 (14333033009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16158557 + ... + 16159443.

It is an arithmetic number, because the mean of its divisors is an integer number (155454390).

Almost surely, 214333033000 is an apocalyptic number.

14333033000 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 14333033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898161920).

14333033000 is an abundant number, since it is smaller than the sum of its proper divisors (25463290840).

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

14333033000 is a wasteful number, since it uses less digits than its factorization.

14333033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 14333033000 its reverse (33033341), we get a palindrome (14366066341).

The spelling of 14333033000 in words is "fourteen billion, three hundred thirty-three million, thirty-three thousand".