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445322141223544 = 23139776607663349
BaseRepresentation
bin110010101000001001010010…
…0000010011100101001111000
32011101202101021200211222101001
41211100102210002130221320
5431332124221123123134
64215042100100134344
7162541314541000054
oct14520224402345170
92141671250758331
10445322141223544
11119991072218482
1241b424b80973b4
131616390bba5580
147bd79c7030c64
153673cb6953414
hex19504a409ca78

445322141223544 has 64 divisors (see below), whose sum is σ = 900266142384000. Its totient is φ = 205291538049024.

The previous prime is 445322141223521. The next prime is 445322141223563.

445322141223544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445322141223494 and 445322141223503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670992382 + ... + 671655730.

It is an arithmetic number, because the mean of its divisors is an integer number (14066658474750).

Almost surely, 2445322141223544 is an apocalyptic number.

It is an amenable number.

445322141223544 is an abundant number, since it is smaller than the sum of its proper divisors (454944001160456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445322141223544 is a wasteful number, since it uses less digits than its factorization.

445322141223544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670952 (or 670948 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 445322141223544 in words is "four hundred forty-five trillion, three hundred twenty-two billion, one hundred forty-one million, two hundred twenty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 977 1954 3908 6607 7816 12701 13214 25402 26428 50804 52856 85891 101608 171782 343564 663349 687128 1326698 2653396 5306792 6455039 8623537 12910078 17247074 25820156 34494148 51640312 68988296 83915507 167831014 335662028 648091973 671324056 1296183946 2592367892 4382746843 5184735784 8425195649 8765493686 16850391298 17530987372 33700782596 35061974744 56975708959 67401565192 113951417918 227902835836 455805671672 4281943665611 8563887331222 17127774662444 34255549324888 55665267652943 111330535305886 222661070611772 445322141223544