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144441011241 = 34172337312227
BaseRepresentation
bin1000011010000101011…
…0101110110000101001
3111210211100020121220000
42012201112232300221
54331303344324431
6150204424053213
713302245223642
oct2064126566051
9453740217800
10144441011241
115629120466a
1223bb1004209
131080b983bb7
146dc33806c9
153b55a5b9e6
hex21a15aec29

144441011241 has 80 divisors (see below), whose sum is σ = 239054073984. Its totient is φ = 86449752576.

The previous prime is 144441011227. The next prime is 144441011243. The reversal of 144441011241 is 142110144441.

144441011241 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 410 + 1 + 1 + 241 = 666.

It is not a de Polignac number, because 144441011241 - 214 = 144440994857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144441011243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11807170 + ... + 11819396.

Almost surely, 2144441011241 is an apocalyptic number.

It is an amenable number.

144441011241 is a deficient number, since it is larger than the sum of its proper divisors (94613062743).

144441011241 is a wasteful number, since it uses less digits than its factorization.

144441011241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144441011241 its reverse (142110144441), we get a palindrome (286551155682).

The spelling of 144441011241 in words is "one hundred forty-four billion, four hundred forty-one million, eleven thousand, two hundred forty-one".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 373 391 459 621 1119 1173 1377 1863 3357 3519 6341 8579 10071 10557 12227 19023 25737 30213 31671 36681 57069 77211 110043 145843 171207 207859 231633 281221 330129 437529 513621 623577 694899 843663 990387 1312587 1870731 2530989 3937761 4560671 4780757 5612193 7592967 11813283 13682013 14342271 16836579 22778901 41046039 43026813 77531407 104895433 123138117 129080439 232594221 314686299 369414351 387241317 697782663 944058897 1783222361 2093347989 2832176691 5349667083 6280043967 8496530073 16049001249 48147003747 144441011241