Base | Representation |
---|---|
bin | 1001101001000100010… |
… | …00111011100000000000 |
3 | 1011200002211122021221000 |
4 | 10310202020323200000 |
5 | 20411433010414000 |
6 | 412105040332000 |
7 | 32635362101040 |
oct | 4644210734000 |
9 | 1150084567830 |
10 | 331285248000 |
11 | 118551982163 |
12 | 54256914000 |
13 | 25317565185 |
14 | 1206a14b720 |
15 | 893e062000 |
hex | 4d2223b800 |
331285248000 has 1536 divisors, whose sum is σ = 1442404454400. Its totient is φ = 73433088000.
The previous prime is 331285247983. The next prime is 331285248017. The reversal of 331285248000 is 842582133.
331285248000 is a `hidden beast` number, since 3 + 3 + 128 + 52 + 480 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (331285247983) and next prime (331285248017).
It is a tau number, because it is divible by the number of its divisors (1536).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 127 ways as a sum of consecutive naturals, for example, 1983743917 + ... + 1983744083.
It is an arithmetic number, because the mean of its divisors is an integer number (939065400).
Almost surely, 2331285248000 is an apocalyptic number.
331285248000 is a gapful number since it is divisible by the number (30) 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 331285248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721202227200).
331285248000 is an abundant number, since it is smaller than the sum of its proper divisors (1111119206400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331285248000 is a wasteful number, since it uses less digits than its factorization.
331285248000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The spelling of 331285248000 in words is "three hundred thirty-one billion, two hundred eighty-five million, two hundred forty-eight thousand".
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