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1444774441 = 114127111821
BaseRepresentation
bin101011000011101…
…1000001000101001
310201200121010221111
41112013120020221
510424330240231
6355210310321
750542244245
oct12607301051
93650533844
101444774441
116815a0470
12343a283a1
131a0427526
14d9c49425
1586c8b4b1
hex561d8229

1444774441 has 16 divisors (see below), whose sum is σ = 1620654336. Its totient is φ = 1276560000.

The previous prime is 1444774439. The next prime is 1444774453.

1444774441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1444774441 - 21 = 1444774439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1444774394 and 1444774403.

It is not an unprimeable number, because it can be changed into a prime (1444774741) 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 15 ways as a sum of consecutive naturals, for example, 116311 + ... + 128131.

It is an arithmetic number, because the mean of its divisors is an integer number (101290896).

Almost surely, 21444774441 is an apocalyptic number.

1444774441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1444774441 is a deficient number, since it is larger than the sum of its proper divisors (175879895).

1444774441 is a wasteful number, since it uses less digits than its factorization.

1444774441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144.

The product of its digits is 200704, while the sum is 40.

The square root of 1444774441 is about 38010.1886472561. The cubic root of 1444774441 is about 1130.4898914830.

It can be divided in two parts, 14447 and 74441, that added together give a palindrome (88888).

The spelling of 1444774441 in words is "one billion, four hundred forty-four million, seven hundred seventy-four thousand, four hundred forty-one".

Divisors: 1 11 41 271 451 2981 11111 11821 122221 130031 484661 3203491 5331271 35238401 131343131 1444774441