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1444152125 = 53131761857
BaseRepresentation
bin101011000010100…
…0000001100111101
310201122102112021202
41112011000030331
510424200332000
6355145105245
750534043023
oct12605001475
93648375252
101444152125
11681205959
12343788225
131a026a1b0
14d9b26713
1586bb6dd5
hex5614033d

1444152125 has 64 divisors (see below), whose sum is σ = 2091241152. Its totient is φ = 986112000.

The previous prime is 1444152077. The next prime is 1444152163. The reversal of 1444152125 is 5212514441.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 1433531044 + 10621081 = 37862^2 + 3259^2 .

It is not a de Polignac number, because 1444152125 - 28 = 1444151869 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1684697 + ... + 1685553.

It is an arithmetic number, because the mean of its divisors is an integer number (32675643).

Almost surely, 21444152125 is an apocalyptic number.

It is an amenable number.

1444152125 is a deficient number, since it is larger than the sum of its proper divisors (647089027).

1444152125 is a wasteful number, since it uses less digits than its factorization.

1444152125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its digits is 6400, while the sum is 29.

The square root of 1444152125 is about 38002.0015920214. The cubic root of 1444152125 is about 1130.3275540361.

Adding to 1444152125 its reverse (5212514441), we get a palindrome (6656666566).

It can be divided in two parts, 14441 and 52125, that added together give a palindrome (66566).

The spelling of 1444152125 in words is "one billion, four hundred forty-four million, one hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 221 305 325 425 793 857 1037 1105 1525 1625 2125 3965 4285 5185 5525 7625 11141 13481 14569 19825 21425 25925 27625 52277 55705 67405 72845 99125 107125 129625 189397 261385 278525 337025 364225 679601 888709 946985 1306925 1392625 1685125 1821125 3398005 4443545 4734925 6534625 11553217 16990025 22217725 23674625 57766085 84950125 111088625 288830425 1444152125