Search a number
-
+
4430423040 = 210351719247
BaseRepresentation
bin1000010000001001…
…01110010000000000
3102102202121210212020
410020010232100000
533033142014130
62011343201440
7214534655151
oct41004562000
912382553766
104430423040
11197394944a
12a378a6280
13557b556c4
14300597928
151ade47e10
hex10812e400

4430423040 has 528 divisors, whose sum is σ = 16172151552. Its totient is φ = 1031012352.

The previous prime is 4430423009. The next prime is 4430423051. The reversal of 4430423040 is 403240344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4430423040.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94264297 + ... + 94264343.

Almost surely, 24430423040 is an apocalyptic number.

4430423040 is a gapful number since it is divisible by the number (40) 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 4430423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086075776).

4430423040 is an abundant number, since it is smaller than the sum of its proper divisors (11741728512).

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

4430423040 is a wasteful number, since it uses less digits than its factorization.

4430423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4430423040 is about 66561.4230617105. The cubic root of 4430423040 is about 1642.4105736337.

Adding to 4430423040 its reverse (403240344), we get a palindrome (4833663384).

The spelling of 4430423040 in words is "four billion, four hundred thirty million, four hundred twenty-three thousand, forty".