Base | Representation |
---|---|
bin | 1000110000000101000… |
… | …1100011011001010000 |
3 | 112101001211002012220000 |
4 | 2030001101203121100 |
5 | 4430401334442000 |
6 | 153022340050000 |
7 | 13601460255243 |
oct | 2140121433120 |
9 | 471054065800 |
10 | 150345234000 |
11 | 58840a68605 |
12 | 2517a393900 |
13 | 1123cc57230 |
14 | 73c357b25a |
15 | 3d9e076000 |
hex | 2301463650 |
150345234000 has 400 divisors, whose sum is σ = 584840015760. Its totient is φ = 37007539200.
The previous prime is 150345233999. The next prime is 150345234019. The reversal of 150345234000 is 432543051.
150345234000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 27926420544 + 122418813456 = 167112^2 + 349884^2 .
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 (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2070306 + ... + 2141694.
Almost surely, 2150345234000 is an apocalyptic number.
150345234000 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 150345234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292420007880).
150345234000 is an abundant number, since it is smaller than the sum of its proper divisors (434494781760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150345234000 is a wasteful number, since it uses less digits than its factorization.
150345234000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71437 (or 71412 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
Adding to 150345234000 its reverse (432543051), we get a palindrome (150777777051).
The spelling of 150345234000 in words is "one hundred fifty billion, three hundred forty-five million, two hundred thirty-four thousand".
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