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1445911146 = 232237347843
BaseRepresentation
bin101011000101110…
…1101101001101010
310201202201220012200
41112023231221222
510430123124041
6355250521030
750555020251
oct12613555152
93652656180
101445911146
116821a7499
12344296176
131a0734a34
14da063798
1586e131b6
hex562eda6a

1445911146 has 48 divisors (see below), whose sum is σ = 3313866816. Its totient is φ = 454690368.

The previous prime is 1445911141. The next prime is 1445911147. The reversal of 1445911146 is 6411195441.

1445911146 is a `hidden beast` number, since 14 + 4 + 591 + 11 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1445911146.

It is not an unprimeable number, because it can be changed into a prime (1445911141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6301 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (69038892).

Almost surely, 21445911146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445911146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656933408).

1445911146 is an abundant number, since it is smaller than the sum of its proper divisors (1867955670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1445911146 is a wasteful number, since it uses less digits than its factorization.

1445911146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47947 (or 47944 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1445911146 is about 38025.1383429436. The cubic root of 1445911146 is about 1130.7862922254.

The spelling of 1445911146 in words is "one billion, four hundred forty-five million, nine hundred eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 3358 5037 10074 15111 30222 47843 95686 143529 287058 430587 861174 1100389 2200778 3301167 3492539 6602334 6985078 9903501 10477617 19807002 20955234 31432851 62865702 80328397 160656794 240985191 481970382 722955573 1445911146