Base | Representation |
---|---|
bin | 11100011000111001… |
… | …01110011010000000 |
3 | 1110100012002022211100 |
4 | 32030130232122000 |
5 | 222203224222430 |
6 | 11000212414400 |
7 | 1046456264400 |
oct | 161434563200 |
9 | 43305068740 |
10 | 15241242240 |
11 | 6511313974 |
12 | 2b54317400 |
13 | 158b813443 |
14 | a482a0800 |
15 | 5e30b8960 |
hex | 38c72e680 |
15241242240 has 288 divisors, whose sum is σ = 61223687460. Its totient is φ = 3483648000.
The previous prime is 15241242227. The next prime is 15241242253. The reversal of 15241242240 is 4224214251.
It is a happy number.
15241242240 is a `hidden beast` number, since 1 + 5 + 2 + 412 + 4 + 2 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (15241242227) and next prime (15241242253).
It can be written as a sum of positive squares in 2 ways, for example, as 14509647936 + 731594304 = 120456^2 + 27048^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255240 + ... + 309240.
Almost surely, 215241242240 is an apocalyptic number.
15241242240 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 15241242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30611843730).
15241242240 is an abundant number, since it is smaller than the sum of its proper divisors (45982445220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15241242240 is a wasteful number, since it uses less digits than its factorization.
15241242240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54040 (or 54018 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
Adding to 15241242240 its reverse (4224214251), we get a palindrome (19465456491).
The spelling of 15241242240 in words is "fifteen billion, two hundred forty-one million, two hundred forty-two thousand, two hundred forty".
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