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445420024544 = 251110931157729
BaseRepresentation
bin1100111101101010001…
…10100011001011100000
31120120201002100200102002
412132311012203023200
524244210011241134
6540342332543132
744115631511435
oct6366506431340
91516632320362
10445420024544
111619a0aa0070
12723aa321aa8
1333006582401
14177b6529b8c
15b8be15387e
hex67b51a32e0

445420024544 has 48 divisors (see below), whose sum is σ = 957516804720. Its totient is φ = 202278236160.

The previous prime is 445420024531. The next prime is 445420024607.

445420024544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445420024498 and 445420024507.

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 7 ways as a sum of consecutive naturals, for example, 194129 + ... + 963600.

It is an arithmetic number, because the mean of its divisors is an integer number (19948266765).

Almost surely, 2445420024544 is an apocalyptic number.

445420024544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445420024544 is an abundant number, since it is smaller than the sum of its proper divisors (512096780176).

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

445420024544 is a wasteful number, since it uses less digits than its factorization.

445420024544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158843 (or 1158835 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 4454200 and 24544, that added together give a palindrome (4478744).

The spelling of 445420024544 in words is "four hundred forty-five billion, four hundred twenty million, twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1093 2186 4372 8744 12023 17488 24046 34976 48092 96184 192368 384736 1157729 2315458 4630916 9261832 12735019 18523664 25470038 37047328 50940076 101880152 203760304 407520608 1265397797 2530795594 5061591188 10123182376 13919375767 20246364752 27838751534 40492729504 55677503068 111355006136 222710012272 445420024544