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44027129601 = 32721317226573
BaseRepresentation
bin101001000000001110…
…001010111100000001
311012122022210220202200
4221000032022330001
51210131421121401
632120434103413
73116014266300
oct510016127401
9135568726680
1044027129601
1117743192124
12864871ab69
1341c84b25a0
1421b9384437
15122a31a686
hexa4038af01

44027129601 has 108 divisors (see below), whose sum is σ = 84633353532. Its totient is φ = 21856214016.

The previous prime is 44027129599. The next prime is 44027129609. The reversal of 44027129601 is 10692172044.

It is a happy number.

44027129601 is a `hidden beast` number, since 4 + 4 + 0 + 27 + 1 + 29 + 601 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9408806001 + 34618323600 = 96999^2 + 186060^2 .

It is not a de Polignac number, because 44027129601 - 21 = 44027129599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44027129609) 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 107 ways as a sum of consecutive naturals, for example, 1643551 + ... + 1670123.

Almost surely, 244027129601 is an apocalyptic number.

It is an amenable number.

44027129601 is a deficient number, since it is larger than the sum of its proper divisors (40606223931).

44027129601 is a wasteful number, since it uses less digits than its factorization.

44027129601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640 (or 26613 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 44027129601 in words is "forty-four billion, twenty-seven million, one hundred twenty-nine thousand, six hundred one".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 273 289 357 441 637 663 819 833 867 1071 1547 1911 1989 2023 2499 2601 3757 4641 5733 6069 7497 10829 11271 13923 14161 18207 26299 26573 32487 33813 42483 78897 79719 97461 127449 184093 186011 236691 239157 345449 451741 552279 558033 1036347 1302077 1355223 1656837 1674099 2418143 3109041 3162187 3906231 4065669 5872633 7254429 7679597 9486561 11718693 16927001 17617899 21763287 22135309 23038791 28459683 41108431 50781003 52853697 53757179 66405927 69116373 99834761 123325293 152343009 161271537 199217781 287759017 299504283 369975879 376300253 483814611 698843327 863277051 898512849 1128900759 2096529981 2589831153 3386702277 4891903289 6289589943 14675709867 44027129601