Search a number
-
+
1414230000 = 24354174759
BaseRepresentation
bin101010001001011…
…0110111111110000
310122120010022211220
41110102312333300
510344020330000
6352155505040
750021520351
oct12422667760
93576108756
101414230000
11666328a27
12335758180
13196cc17b1
14d5b77d28
15842561a0
hex544b6ff0

1414230000 has 400 divisors, whose sum is σ = 5020392960. Its totient is φ = 341504000.

The previous prime is 1414229989. The next prime is 1414230001. The reversal of 1414230000 is 324141.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23969971 + ... + 23970029.

Almost surely, 21414230000 is an apocalyptic number.

1414230000 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 1414230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510196480).

1414230000 is an abundant number, since it is smaller than the sum of its proper divisors (3606162960).

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

1414230000 is a wasteful number, since it uses less digits than its factorization.

1414230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1414230000 is about 37606.2494806382. The cubic root of 1414230000 is about 1122.4663971436.

Adding to 1414230000 its reverse (324141), we get a palindrome (1414554141).

The spelling of 1414230000 in words is "one billion, four hundred fourteen million, two hundred thirty thousand".