Base | Representation |
---|---|
bin | 10001010101101… |
… | …00111001110000 |
3 | 101010200100022000 |
4 | 20222310321300 |
5 | 244213210324 |
6 | 22233214000 |
7 | 3414154224 |
oct | 1052647160 |
9 | 333610260 |
10 | 145444464 |
11 | 75110640 |
12 | 40861300 |
13 | 24195519 |
14 | 15460784 |
15 | cb7e9c9 |
hex | 8ab4e70 |
145444464 has 160 divisors (see below), whose sum is σ = 460922880. Its totient is φ = 43545600.
The previous prime is 145444463. The next prime is 145444489. The reversal of 145444464 is 464444541.
145444464 is a `hidden beast` number, since 14 + 544 + 44 + 64 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (122880) is a multiple of the sum of its prime divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145444463) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 603384 + ... + 603624.
It is an arithmetic number, because the mean of its divisors is an integer number (2880768).
Almost surely, 2145444464 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 145444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230461440).
145444464 is an abundant number, since it is smaller than the sum of its proper divisors (315478416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145444464 is a wasteful number, since it uses less digits than its factorization.
145444464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 396 (or 384 counting only the distinct ones).
The product of its digits is 122880, while the sum is 36.
The square root of 145444464 is about 12060.0358208423. The cubic root of 145444464 is about 525.8950283763.
The spelling of 145444464 in words is "one hundred forty-five million, four hundred forty-four thousand, four hundred sixty-four".
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