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445303244502431 = 71721931477951459
BaseRepresentation
bin110010101000000000011110…
…1101101001011010110011111
32011101200120111202100002020022
41211100000331231023112133
5431331322021043034211
64215025253021542355
7162540045343343510
oct14520007555132637
92141616452302208
10445303244502431
11119984055543197
1241b3a9037149bb
1316161bb9c58ba3
147bd6b1349ca07
15367355c9b9bdb
hex195003db4b59f

445303244502431 has 96 divisors (see below), whose sum is σ = 599924298547200. Its totient is φ = 322343201687040.

The previous prime is 445303244502383. The next prime is 445303244502451. The reversal of 445303244502431 is 134205442303544.

It is not a de Polignac number, because 445303244502431 - 214 = 445303244486047 is a prime.

It is a super-2 number, since 2×4453032445024312 (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 (445303244502451) 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, 52026980 + ... + 59978438.

It is an arithmetic number, because the mean of its divisors is an integer number (6249211443200).

Almost surely, 2445303244502431 is an apocalyptic number.

445303244502431 is a deficient number, since it is larger than the sum of its proper divisors (154621054044769).

445303244502431 is a wasteful number, since it uses less digits than its factorization.

445303244502431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951597 (or 7951580 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 44.

Adding to 445303244502431 its reverse (134205442303544), we get a palindrome (579508686805975).

The spelling of 445303244502431 in words is "four hundred forty-five trillion, three hundred three billion, two hundred forty-four million, five hundred two thousand, four hundred thirty-one".

Divisors: 1 7 17 19 31 47 119 133 217 289 323 329 527 589 799 893 1457 2023 2261 3689 4123 5491 5593 6251 8959 10013 10199 13583 15181 24769 27683 38437 62713 70091 95081 106267 170221 173383 193781 258077 421073 470611 1191547 1806539 2947511 3294277 7951459 8000387 55660213 56002709 135174803 151077721 246495229 373718573 946223621 1057544047 1725466603 2297971651 2568321257 2616030011 4190418893 4683409351 6353215741 7100652887 11585275763 16085801557 17978248799 29332932251 32783865457 43661461369 44472510187 49704570209 71237121181 79617958967 81096930341 108004667597 120711099079 196949687971 220120239497 305630229583 498659848267 557325712769 756032673179 844977693553 1353505302439 1378647815797 1540841676479 2052088684343 3348144695507 3742044071449 9474537117073 14364620790401 23437012868549 26194308500143 63614749214633 445303244502431