Search a number
-
+
10043433440 = 2551973167271
BaseRepresentation
bin10010101101010001…
…01010000111100000
3221220221111021121022
421112220222013200
5131032104332230
64340333345012
7503612530025
oct112650520740
927827437538
1010043433440
114294290217
121b43638168
13c409b6a31
146b3c2b54c
153dbadc1e5
hex256a2a1e0

10043433440 has 192 divisors, whose sum is σ = 25564170240. Its totient is φ = 3717550080.

The previous prime is 10043433409. The next prime is 10043433443. The reversal of 10043433440 is 4433434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043433443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37060505 + ... + 37060775.

It is an arithmetic number, because the mean of its divisors is an integer number (133146720).

Almost surely, 210043433440 is an apocalyptic number.

10043433440 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 10043433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782085120).

10043433440 is an abundant number, since it is smaller than the sum of its proper divisors (15520736800).

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

10043433440 is a wasteful number, since it uses less digits than its factorization.

10043433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10043433440 its reverse (4433434001), we get a palindrome (14476867441).

The spelling of 10043433440 in words is "ten billion, forty-three million, four hundred thirty-three thousand, four hundred forty".