Base | Representation |
---|---|
bin | 10001001111101… |
… | …10100010000000 |
3 | 101002012201200000 |
4 | 20213312202000 |
5 | 244013232304 |
6 | 22204400000 |
7 | 3404425662 |
oct | 1047664200 |
9 | 332181600 |
10 | 144664704 |
11 | 74728808 |
12 | 40546000 |
13 | 23c81622 |
14 | 152da532 |
15 | ca78939 |
hex | 89f6880 |
144664704 has 96 divisors (see below), whose sum is σ = 431798640. Its totient is φ = 48211200.
The previous prime is 144664697. The next prime is 144664711. The reversal of 144664704 is 407466441.
144664704 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 647 + 0 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (144664697) and next prime (144664711).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28779 + ... + 33429.
Almost surely, 2144664704 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215899320).
144664704 is an abundant number, since it is smaller than the sum of its proper divisors (287133936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144664704 is an frugal number, since it uses more digits than its factorization.
144664704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4680 (or 4656 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 144664704 is about 12027.6641123703. The cubic root of 144664704 is about 524.9535305808.
The spelling of 144664704 in words is "one hundred forty-four million, six hundred sixty-four thousand, seven hundred four".
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