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1144443808 = 25172339029
BaseRepresentation
bin100010000110110…
…1101001110100000
32221202110202202201
41010031231032200
54320434200213
6305321222544
740234416604
oct10415551640
92852422681
101144443808
11538010632
1227b331a54
131531420b1
14abdcb504
156a7146dd
hex4436d3a0

1144443808 has 48 divisors (see below), whose sum is σ = 2396164680. Its totient is φ = 536190976.

The previous prime is 1144443761. The next prime is 1144443809. The reversal of 1144443808 is 8083444411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1143251344 + 1192464 = 33812^2 + 1092^2 .

It is not an unprimeable number, because it can be changed into a prime (1144443809) 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 7 ways as a sum of consecutive naturals, for example, 122238 + ... + 131266.

Almost surely, 21144443808 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 1144443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198082340).

1144443808 is an abundant number, since it is smaller than the sum of its proper divisors (1251720872).

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

1144443808 is a wasteful number, since it uses less digits than its factorization.

1144443808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 1144443808 is about 33829.6291436959. The cubic root of 1144443808 is about 1045.9995344794. Note that the first 3 decimals are identical.

The spelling of 1144443808 in words is "one billion, one hundred forty-four million, four hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 233 272 466 544 932 1864 3728 3961 7456 7922 9029 15844 18058 31688 36116 63376 72232 126752 144464 153493 288928 306986 613972 1227944 2103757 2455888 4207514 4911776 8415028 16830056 33660112 35763869 67320224 71527738 143055476 286110952 572221904 1144443808