Search a number
-
+
243233430000 = 24354115313907
BaseRepresentation
bin1110001010000111010…
…1111001100111110000
3212020211100121111002120
43202201311321213300
512441120224230000
6303423452314240
723400360020301
oct3424165714760
9766740544076
10243233430000
1194177a26040
123b182472980
1319c24246512
14bab5c9a7a8
1564d8c5e6a0
hex38a1d799f0

243233430000 has 400 divisors, whose sum is σ = 872795316096. Its totient is φ = 57848960000.

The previous prime is 243233429993. The next prime is 243233430007. The reversal of 243233430000 is 34332342.

It is an interprime number because it is at equal distance from previous prime (243233429993) and next prime (243233430007).

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

It is a super-6 number, since 6×2432334300006 (a number of 70 digits) contains 666666 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243233430007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17483047 + ... + 17496953.

Almost surely, 2243233430000 is an apocalyptic number.

243233430000 is a gapful number since it is divisible by the number (20) 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 243233430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436397658048).

243233430000 is an abundant number, since it is smaller than the sum of its proper divisors (629561886096).

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

243233430000 is a wasteful number, since it uses less digits than its factorization.

243233430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14002 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 243233430000 its reverse (34332342), we get a palindrome (243267762342).

The spelling of 243233430000 in words is "two hundred forty-three billion, two hundred thirty-three million, four hundred thirty thousand".