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1144441221 = 37117367867
BaseRepresentation
bin100010000110110…
…1100100110000101
32221202110122012220
41010031230212011
54320434104341
6305321202553
740234406220
oct10415544605
92852418186
101144441221
115380096a0
1227b330459
13153140b71
14abdca5b7
156a713a66
hex4436c985

1144441221 has 32 divisors (see below), whose sum is σ = 1928537088. Its totient is φ = 586362240.

The previous prime is 1144441217. The next prime is 1144441247. The reversal of 1144441221 is 1221444411.

It is not a de Polignac number, because 1144441221 - 22 = 1144441217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1144441191 and 1144441200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144341221) 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, 17071 + ... + 50796.

It is an arithmetic number, because the mean of its divisors is an integer number (60266784).

Almost surely, 21144441221 is an apocalyptic number.

1144441221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1144441221 is a deficient number, since it is larger than the sum of its proper divisors (784095867).

1144441221 is a wasteful number, since it uses less digits than its factorization.

1144441221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67961.

The product of its digits is 1024, while the sum is 24.

The square root of 1144441221 is about 33829.5909079610. The cubic root of 1144441221 is about 1045.9987463228.

Adding to 1144441221 its reverse (1221444411), we get a palindrome (2365885632).

The spelling of 1144441221 in words is "one billion, one hundred forty-four million, four hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 73 77 219 231 511 803 1533 2409 5621 16863 67867 203601 475069 746537 1425207 2239611 4954291 5225759 14862873 15677277 34680037 54497201 104040111 163491603 381480407 1144441221