Search a number
-
+
444365662032441 = 3453792834629841
BaseRepresentation
bin110010100001001011111000…
…1011011111001001000111001
32011021100221110000111201020000
41211002113301123321020321
5431220441333440014231
64213030433355423213
7162412234232006562
oct14502276133711071
92137327400451200
10444365662032441
111196524676a0446
1241a09061154b09
13160c466b233276
147ba35aca0d169
153658e85d416e6
hex19425f16f9239

444365662032441 has 80 divisors (see below), whose sum is σ = 687311526908160. Its totient is φ = 285960993477120.

The previous prime is 444365662032389. The next prime is 444365662032463. The reversal of 444365662032441 is 144230266563444.

444365662032441 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 6 + 5 + 6 + 620 + 3 + 2 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 444365662032441 - 215 = 444365661999673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444365662032491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93663681 + ... + 98293521.

It is an arithmetic number, because the mean of its divisors is an integer number (8591394086352).

Almost surely, 2444365662032441 is an apocalyptic number.

It is an amenable number.

444365662032441 is a deficient number, since it is larger than the sum of its proper divisors (242945864875719).

444365662032441 is a wasteful number, since it uses less digits than its factorization.

444365662032441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630268 (or 4630259 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 444365662032441 in words is "four hundred forty-four trillion, three hundred sixty-five billion, six hundred sixty-two million, thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 53 79 81 159 237 283 477 711 849 1431 2133 2547 4187 4293 6399 7641 12561 14999 22357 22923 37683 44997 67071 113049 134991 201213 339147 404973 603639 1184921 1214919 1810917 3554763 4629841 10664289 13889523 31992867 41668569 95978601 125005707 245381573 365757439 375017121 736144719 1097272317 1310245003 2208434157 3291816951 3930735009 6625302471 9875450853 11792205027 19385144267 19875907413 29626352559 35376615081 58155432801 69442985159 103509355237 106129845243 174466298403 208328955477 310528065711 523398895209 624986866431 931584197133 1570196685627 1874960599293 2794752591399 5485995827561 5624881797879 8384257774197 16457987482683 49373962448049 148121887344147 444365662032441