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445068531540831 = 311174764144935861
BaseRepresentation
bin110010100110010011001011…
…1101110010010001101011111
32011100212010200012111020110110
41211030212113232102031133
5431314000323033301311
64214325354420341103
7162514066054160022
oct14514462756221537
92140763605436413
10445068531540831
111198a3560162180
1241b0131a844793
1316145a23026263
147bc960906d1b9
15366c3c1cb38a6
hex194c997b9235f

445068531540831 has 128 divisors (see below), whose sum is σ = 701405052751872. Its totient is φ = 247984848896000.

The previous prime is 445068531540827. The next prime is 445068531540863. The reversal of 445068531540831 is 138045135860544.

It is a cyclic number.

It is not a de Polignac number, because 445068531540831 - 22 = 445068531540827 is a prime.

It is a super-2 number, since 2×4450685315408312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445068531580831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75937299841 + ... + 75937305701.

It is an arithmetic number, because the mean of its divisors is an integer number (5479726974624).

Almost surely, 2445068531540831 is an apocalyptic number.

445068531540831 is a deficient number, since it is larger than the sum of its proper divisors (256336521211041).

445068531540831 is a wasteful number, since it uses less digits than its factorization.

445068531540831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11073.

The product of its (nonzero) digits is 27648000, while the sum is 57.

The spelling of 445068531540831 in words is "four hundred forty-five trillion, sixty-eight billion, five hundred thirty-one million, five hundred forty thousand, eight hundred thirty-one".

Divisors: 1 3 11 17 33 47 51 141 187 517 561 641 799 1551 1923 2397 4493 5861 7051 8789 10897 13479 17583 21153 26367 30127 32691 49423 64471 76381 90381 99637 119867 148269 193413 211171 229143 275467 298911 331397 359601 512159 633513 826401 840191 994191 1096007 1536477 2322881 2520573 2880013 3030137 3288021 3589907 3756901 4682939 5633749 6968643 8640039 9090411 10769721 11270703 14048817 16901247 26333473 31680143 39488977 41325911 48960221 51512329 63867317 79000419 95040429 118466931 123977733 135360611 146880663 154536987 176574347 191601951 289668203 406081833 447669041 529723041 538562431 702540487 869004609 1237673231 1343007123 1488966721 1615687293 1942317817 2107621461 2301130387 3001763899 3713019693 4466900163 4924359451 5826953451 6903391161 9005291697 13614405541 14773078353 16879756193 21040444927 25312434257 33019402889 40843216623 50639268579 63121334781 75937302771 99058208667 185677318123 231444894197 286955855281 557031954369 694334682591 793348541071 860867565843 2380045623213 3156514408091 8726833951781 9469543224273 13486925198207 26180501855343 40460775594621 148356177180277 445068531540831