Search a number
-
+
13330043400 = 23352173142157
BaseRepresentation
bin11000110101000100…
…00101001000001000
31021101222211100220010
430122202011020020
5204244442342100
610042421031520
7651221333202
oct143242051010
937358740803
1013330043400
1157205099a3
1227002555a0
13134588b45b
1490651d772
155303e7750
hex31a885208

13330043400 has 192 divisors, whose sum is σ = 45166394880. Its totient is φ = 3237580800.

The previous prime is 13330043359. The next prime is 13330043413. The reversal of 13330043400 is 434003331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295122 + ... + 337278.

It is an arithmetic number, because the mean of its divisors is an integer number (235241640).

Almost surely, 213330043400 is an apocalyptic number.

13330043400 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 13330043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22583197440).

13330043400 is an abundant number, since it is smaller than the sum of its proper divisors (31836351480).

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

13330043400 is a wasteful number, since it uses less digits than its factorization.

13330043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42224 (or 42215 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13330043400 its reverse (434003331), we get a palindrome (13764046731).

The spelling of 13330043400 in words is "thirteen billion, three hundred thirty million, forty-three thousand, four hundred".