Base | Representation |
---|---|
bin | 101011000100111… |
… | …1011110000100000 |
3 | 10201201212012021200 |
4 | 1112021323300200 |
5 | 10430013212030 |
6 | 355232521200 |
7 | 50551035213 |
oct | 12611736040 |
9 | 3651765250 |
10 | 1445444640 |
11 | 681a08a52 |
12 | 3440b0200 |
13 | 1a06005b3 |
14 | d9d8177a |
15 | 86d6ed60 |
hex | 5627bc20 |
1445444640 has 144 divisors (see below), whose sum is σ = 4978373400. Its totient is φ = 381874176.
The previous prime is 1445444621. The next prime is 1445444647. The reversal of 1445444640 is 464445441.
1445444640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 4 + 4 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1044323856 + 401120784 = 32316^2 + 20028^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1445444595 and 1445444604.
It is not an unprimeable number, because it can be changed into a prime (1445444647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152356 + ... + 161564.
Almost surely, 21445444640 is an apocalyptic number.
1445444640 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 1445444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489186700).
1445444640 is an abundant number, since it is smaller than the sum of its proper divisors (3532928760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1445444640 is a wasteful number, since it uses less digits than its factorization.
1445444640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9339 (or 9328 counting only the distinct ones).
The product of its (nonzero) digits is 122880, while the sum is 36.
The square root of 1445444640 is about 38019.0036692178. The cubic root of 1445444640 is about 1130.6646675704.
The spelling of 1445444640 in words is "one billion, four hundred forty-five million, four hundred forty-four thousand, six hundred forty".
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