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445341143544 = 233111686898271
BaseRepresentation
bin1100111101100000110…
…01101001000111111000
31120120111120221010000120
412132300121221013320
524244024313043134
6540330434133240
744113653155613
oct6366031510770
91516446833016
10445341143544
11161960513660
1272387a21220
1332cc312446b
14177a9c7517a
15b8b7271649
hex67b06691f8

445341143544 has 32 divisors (see below), whose sum is σ = 1214566755840. Its totient is φ = 134951861600.

The previous prime is 445341143543. The next prime is 445341143609.

445341143544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4453411435442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445341143496 and 445341143505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445341143543) 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, 843448872 + ... + 843449399.

It is an arithmetic number, because the mean of its divisors is an integer number (37955211120).

Almost surely, 2445341143544 is an apocalyptic number.

445341143544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445341143544 is an abundant number, since it is smaller than the sum of its proper divisors (769225612296).

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

445341143544 is a wasteful number, since it uses less digits than its factorization.

445341143544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686898291 (or 1686898287 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 445341 and 143544, that added together give a palindrome (588885).

The spelling of 445341143544 in words is "four hundred forty-five billion, three hundred forty-one million, one hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1686898271 3373796542 5060694813 6747593084 10121389626 13495186168 18555880981 20242779252 37111761962 40485558504 55667642943 74223523924 111335285886 148447047848 222670571772 445341143544