Search a number
-
+
444023675157675 = 352318317912854407
BaseRepresentation
bin110010011110101100101000…
…1011011011111110010101011
32011020011020201100212110012010
41210331121101123133302223
5431144340441320021200
64212205354350051003
7162345436412355504
oct14475312133376253
92136136640773163
10444023675157675
11119530423a53748
124197291a4a9a63
131609b339821c82
147b90c0949dbab
15365011c52c150
hex193d6516dfcab

444023675157675 has 96 divisors (see below), whose sum is σ = 771215119073280. Its totient is φ = 225147491971200.

The previous prime is 444023675157619. The next prime is 444023675157679. The reversal of 444023675157675 is 576751576320444.

It is a happy number.

It is not a de Polignac number, because 444023675157675 - 29 = 444023675157163 is a prime.

It is a super-2 number, since 2×4440236751576752 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444023675157679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28115322 + ... + 40969728.

It is an arithmetic number, because the mean of its divisors is an integer number (8033490823680).

Almost surely, 2444023675157675 is an apocalyptic number.

444023675157675 is a deficient number, since it is larger than the sum of its proper divisors (327191443915605).

444023675157675 is a wasteful number, since it uses less digits than its factorization.

444023675157675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854713 (or 12854708 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 66.

The spelling of 444023675157675 in words is "four hundred forty-four trillion, twenty-three billion, six hundred seventy-five million, one hundred fifty-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 31 75 83 93 155 179 249 415 465 537 775 895 1245 2075 2325 2573 2685 4475 5549 6225 7719 12865 13425 14857 16647 27745 38595 44571 64325 74285 83235 138725 192975 222855 371425 416175 460567 1114275 1381701 2302835 6908505 11514175 12854407 34542525 38563221 64272035 192816105 321360175 398486617 964080525 1066915781 1195459851 1992433085 2300938853 3200747343 5334578905 5977299255 6902816559 9962165425 11504694265 16003736715 26672894525 29886496275 33074389211 34514082795 57523471325 71329104443 80018683575 99223167633 165371946055 172570413975 190977924799 213987313329 356645522215 496115838165 572933774397 826859730275 954889623995 1069936566645 1783227611075 2480579190825 2864668871985 4774448119975 5349682833225 5920315668769 14323344359925 17760947006307 29601578343845 88804735031535 148007891719225 444023675157675