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445432234544 = 241110125058069
BaseRepresentation
bin1100111101101011101…
…01001000001000110000
31120120201221100000101022
412132311311020020300
524244221123001134
6540343450355012
744116140344213
oct6366565101060
91516657300338
10445432234544
111619a797a680
12723b242ba68
1333008c68b6b
14177b7dc777a
15b8c026652e
hex67b5d48230

445432234544 has 40 divisors (see below), whose sum is σ = 950803408080. Its totient is φ = 200464544000.

The previous prime is 445432234543. The next prime is 445432234547.

445432234544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4454322345442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 445432234495 and 445432234504.

It is not an unprimeable number, because it can be changed into a prime (445432234543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12511259 + ... + 12546810.

It is an arithmetic number, because the mean of its divisors is an integer number (23770085202).

Almost surely, 2445432234544 is an apocalyptic number.

445432234544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445432234544 is an abundant number, since it is smaller than the sum of its proper divisors (505371173536).

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

445432234544 is a wasteful number, since it uses less digits than its factorization.

445432234544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25058189 (or 25058183 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 445432 and 234544, that added together give a palindrome (679976).

The spelling of 445432234544 in words is "four hundred forty-five billion, four hundred thirty-two million, two hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 25058069 50116138 100232276 200464552 275638759 400929104 551277518 1102555036 2205110072 2530864969 4410220144 5061729938 10123459876 20246919752 27839514659 40493839504 55679029318 111358058636 222716117272 445432234544