Base | Representation |
---|---|
bin | 100000101011110000001… |
… | …0101011000010011100000 |
3 | 120220102122112000012210100 |
4 | 1001113200111120103200 |
5 | 1042044111124302110 |
6 | 13315333130302400 |
7 | 642352026320526 |
oct | 101274025302340 |
9 | 16812575005710 |
10 | 4492004525280 |
11 | 14820594a2618 |
12 | 6066b7287a00 |
13 | 26779562907c |
14 | 1175b2716316 |
15 | 7bca9bd8bc0 |
hex | 415e05584e0 |
4492004525280 has 288 divisors, whose sum is σ = 15707815643520. Its totient is φ = 1168573086720.
The previous prime is 4492004525251. The next prime is 4492004525387. The reversal of 4492004525280 is 825254002944.
4492004525280 is a `hidden beast` number, since 4 + 49 + 2 + 0 + 0 + 4 + 525 + 2 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×44920045252803 (a number of 39 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) 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 (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10927959 + ... + 11331561.
It is an arithmetic number, because the mean of its divisors is an integer number (54541026540).
Almost surely, 24492004525280 is an apocalyptic number.
4492004525280 is a gapful number since it is divisible by the number (40) 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 4492004525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853907821760).
4492004525280 is an abundant number, since it is smaller than the sum of its proper divisors (11215811118240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4492004525280 is a wasteful number, since it uses less digits than its factorization.
4492004525280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 403814 (or 403803 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 45.
The spelling of 4492004525280 in words is "four trillion, four hundred ninety-two billion, four million, five hundred twenty-five thousand, two hundred eighty".
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