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445141450144323 = 321914518311793023
BaseRepresentation
bin110010100110110101001001…
…0000000101011101001000011
32011101010002220000201002122200
41211031222102000223221003
5431321144142214104243
64214423054211204243
7162522260051111532
oct14515522200535103
92141102800632580
10445141450144323
1111992147987a249
1241b1348aba6683
131614c87402620a
147bccd65540319
15366e23d73aad3
hex194da9202ba43

445141450144323 has 24 divisors (see below), whose sum is σ = 676824101191680. Its totient is φ = 281141618068080.

The previous prime is 445141450144297. The next prime is 445141450144327. The reversal of 445141450144323 is 323441054141544.

445141450144323 is a `hidden beast` number, since 4 + 4 + 5 + 141 + 45 + 0 + 1 + 443 + 23 = 666.

It is not a de Polignac number, because 445141450144323 - 232 = 445137155177027 is a prime.

It is a super-4 number, since 4×4451414501443234 (a number of 60 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (445141450144327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247366590 + ... + 249159612.

It is an arithmetic number, because the mean of its divisors is an integer number (28201004216320).

Almost surely, 2445141450144323 is an apocalyptic number.

445141450144323 is a deficient number, since it is larger than the sum of its proper divisors (231682651047357).

445141450144323 is a wasteful number, since it uses less digits than its factorization.

445141450144323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244879 (or 3244876 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 445141450144323 in words is "four hundred forty-five trillion, one hundred forty-one billion, four hundred fifty million, one hundred forty-four thousand, three hundred twenty-three".

Divisors: 1 3 9 19 57 171 1451831 1793023 4355493 5379069 13066479 16137207 27584789 34067437 82754367 102202311 248263101 306606933 2603166375113 7809499125339 23428497376017 49460161127147 148380483381441 445141450144323