Search a number
-
+
1444206632 = 231124136389
BaseRepresentation
bin101011000010100…
…1101100000101000
310201122112022001112
41112011031200220
510424204103012
6355150205452
750534360651
oct12605154050
93648468045
101444206632
11681242900
123437b3888
131a0288c4b
14d9b3c528
1586bc8122
hex5614d828

1444206632 has 48 divisors (see below), whose sum is σ = 3049118100. Its totient is φ = 640428800.

The previous prime is 1444206619. The next prime is 1444206637. The reversal of 1444206632 is 2366024441.

It can be written as a sum of positive squares in 2 ways, for example, as 1443544036 + 662596 = 37994^2 + 814^2 .

It is not an unprimeable number, because it can be changed into a prime (1444206637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21494 + ... + 57882.

Almost surely, 21444206632 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 1444206632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524559050).

1444206632 is an abundant number, since it is smaller than the sum of its proper divisors (1604911468).

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

1444206632 is a wasteful number, since it uses less digits than its factorization.

1444206632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36458 (or 36443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 1444206632 is about 38002.7187448477. The cubic root of 1444206632 is about 1130.3417746037.

The spelling of 1444206632 in words is "one billion, four hundred forty-four million, two hundred six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1804 3608 4961 9922 19844 36389 39688 72778 145556 291112 400279 800558 1491949 1601116 2983898 3202232 4403069 5967796 8806138 11935592 16411439 17612276 32822878 35224552 65645756 131291512 180525829 361051658 722103316 1444206632