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144121104 = 243217113521
BaseRepresentation
bin10001001011100…
…01110100010000
3101001012002222200
420211301310100
5243343333404
622145003200
73400003101
oct1045616420
9331162880
10144121104
1174397356
1240323500
1323b2107a
14151d83a8
15c9bc839
hex8971d10

144121104 has 120 divisors (see below), whose sum is σ = 431671032. Its totient is φ = 44728320.

The previous prime is 144121093. The next prime is 144121141. The reversal of 144121104 is 401121441.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 142563600 = 1248^2 + 11940^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276364 + ... + 276884.

Almost surely, 2144121104 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 144121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215835516).

144121104 is an abundant number, since it is smaller than the sum of its proper divisors (287549928).

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

144121104 is a wasteful number, since it uses less digits than its factorization.

144121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 144121104 is about 12005.0449395244. The cubic root of 144121104 is about 524.2951739041.

Adding to 144121104 its reverse (401121441), we get a palindrome (545242545).

It can be divided in two parts, 144 and 121104, that multiplied together give a square (17438976 = 41762).

The spelling of 144121104 in words is "one hundred forty-four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 113 136 144 153 204 226 272 306 339 408 452 521 612 678 816 904 1017 1042 1224 1356 1563 1808 1921 2034 2084 2448 2712 3126 3842 4068 4168 4689 5424 5763 6252 7684 8136 8336 8857 9378 11526 12504 15368 16272 17289 17714 18756 23052 25008 26571 30736 34578 35428 37512 46104 53142 58873 69156 70856 75024 79713 92208 106284 117746 138312 141712 159426 176619 212568 235492 276624 318852 353238 425136 470984 529857 637704 706476 941968 1000841 1059714 1275408 1412952 2001682 2119428 2825904 3002523 4003364 4238856 6005046 8006728 8477712 9007569 12010092 16013456 18015138 24020184 36030276 48040368 72060552 144121104