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445323323544 = 2331110831155741
BaseRepresentation
bin1100111101011110101…
…01101010100010011000
31120120110100101202120120
412132233111222202120
524244010232323134
6540325000153240
744113345536351
oct6365725524230
91516410352516
10445323323544
11161951452190
1272381a68820
1332cbc525398
14177a7756d28
15b8b5901649
hex67af56a898

445323323544 has 64 divisors (see below), whose sum is σ = 1214638087680. Its totient is φ = 134933136000.

The previous prime is 445323323507. The next prime is 445323323551.

445323323544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445323323496 and 445323323505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781514 + ... + 2937254.

It is an arithmetic number, because the mean of its divisors is an integer number (18978720120).

Almost surely, 2445323323544 is an apocalyptic number.

445323323544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445323323544 is an abundant number, since it is smaller than the sum of its proper divisors (769314764136).

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

445323323544 is a wasteful number, since it uses less digits than its factorization.

445323323544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166592 (or 166588 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 445323 and 323544, that added together give a palindrome (768867).

The spelling of 445323323544 in words is "four hundred forty-five billion, three hundred twenty-three million, three hundred twenty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 10831 21662 32493 43324 64986 86648 119141 129972 155741 238282 259944 311482 357423 467223 476564 622964 714846 934446 953128 1245928 1429692 1713151 1868892 2859384 3426302 3737784 5139453 6852604 10278906 13705208 20557812 41115624 1686830771 3373661542 5060492313 6747323084 10120984626 13494646168 18555138481 20241969252 37110276962 40483938504 55665415443 74220553924 111330830886 148441107848 222661661772 445323323544