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1444544454441 = 31121011271991559
BaseRepresentation
bin10101000001010101100…
…011110001111100101001
312010002121210020112111210
4111001111203301330221
5142131411340020231
63023340424543333
7206236105161114
oct25012543617451
95102553215453
101444544454441
1150769a75a200
121b3b67021b49
13a62b232911a
144dcb857557b
1527898ab6a46
hex150558f1f29

1444544454441 has 96 divisors (see below), whose sum is σ = 2167087104000. Its totient is φ = 855117648000.

The previous prime is 1444544454413. The next prime is 1444544454581.

1444544454441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1444544454441 - 233 = 1435954519849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1444544453441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926583220 + ... + 926584778.

It is an arithmetic number, because the mean of its divisors is an integer number (22573824000).

Almost surely, 21444544454441 is an apocalyptic number.

1444544454441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1444544454441 is a deficient number, since it is larger than the sum of its proper divisors (722542649559).

1444544454441 is a wasteful number, since it uses less digits than its factorization.

1444544454441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2000 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

The spelling of 1444544454441 in words is "one trillion, four hundred forty-four billion, five hundred forty-four million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 11 33 101 121 127 199 303 363 381 597 1111 1397 1559 2189 3333 4191 4677 6567 12221 12827 15367 17149 20099 24079 25273 36663 38481 46101 51447 60297 72237 75819 141097 157459 188639 197993 221089 278003 310241 423291 472377 565917 593979 663267 834009 930723 1552067 1732049 2177923 2431979 2552573 3058033 3412651 4656201 5196147 6533769 7295937 7657719 9174099 10237953 19052539 19997293 23957153 28078303 31334341 37539161 39400607 57157617 59991879 71871459 84234909 94003023 112617483 118201821 219970223 308861333 344677751 433406677 659910669 926583999 1034033253 1300220031 2419672453 3791455261 3979461307 4767473447 7259017359 11374365783 11938383921 14302420341 43774074377 131322223131 481514818147 1444544454441