Base | Representation |
---|---|
bin | 10001010010000… |
… | …00100000000000 |
3 | 101002210010021100 |
4 | 20221000200000 |
5 | 244102431210 |
6 | 22215054400 |
7 | 3410130204 |
oct | 1051004000 |
9 | 332703240 |
10 | 144967680 |
11 | 74915400 |
12 | 40671400 |
13 | 240594c0 |
14 | 15378b04 |
15 | cad85c0 |
hex | 8a40800 |
144967680 has 432 divisors, whose sum is σ = 594741420. Its totient is φ = 32440320.
The previous prime is 144967657. The next prime is 144967709. The reversal of 144967680 is 86769441.
144967680 is a `hidden beast` number, since 14 + 496 + 76 + 80 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 134931456 + 10036224 = 11616^2 + 3168^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151354 + ... + 11151366.
Almost surely, 2144967680 is an apocalyptic number.
144967680 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 144967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297370710).
144967680 is an abundant number, since it is smaller than the sum of its proper divisors (449773740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144967680 is a wasteful number, since it uses less digits than its factorization.
144967680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 144967680 is about 12040.2524890469. The cubic root of 144967680 is about 525.3197507948.
It can be divided in two parts, 14 and 4967680, that added together give a palindrome (4967694).
The spelling of 144967680 in words is "one hundred forty-four million, nine hundred sixty-seven thousand, six hundred eighty".
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