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445312444213544 = 23509918111911517
BaseRepresentation
bin110010101000000100110001…
…0000011010010100100101000
32011101201110020220012211101112
41211100021202003102210220
5431331444341204313134
64215033413535405452
7162540522332526635
oct14520114203224450
92141643226184345
10445312444213544
11119987a4653a326
1241b40650683888
1316162a24bc1b2b
147bd734721d18c
1536738ea4951ce
hex19502620d2928

445312444213544 has 32 divisors (see below), whose sum is σ = 836692420811400. Its totient is φ = 222194560700160.

The previous prime is 445312444213409. The next prime is 445312444213573.

It is a happy number.

445312444213544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 422139677497444 + 23172766716100 = 20546038^2 + 4813810^2 .

It is a junction number, because it is equal to n+sod(n) for n = 445312444213492 and 445312444213501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31429274 + ... + 43340790.

Almost surely, 2445312444213544 is an apocalyptic number.

It is an amenable number.

445312444213544 is a deficient number, since it is larger than the sum of its proper divisors (391379976597856).

445312444213544 is a wasteful number, since it uses less digits than its factorization.

445312444213544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921213 (or 11921209 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 445312444213544 in words is "four hundred forty-five trillion, three hundred twelve billion, four hundred forty-four million, two hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 509 1018 2036 4072 9181 18362 36724 73448 4673129 9346258 11911517 18692516 23823034 37385032 47646068 95292136 6062962153 12125924306 24251848612 48503697224 109359637577 218719275154 437438550308 874877100616 55664055526693 111328111053386 222656222106772 445312444213544