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444304232240 = 24511504891173
BaseRepresentation
bin1100111011100101001…
…10001000111100110000
31120110211022210120010012
412131302212020330300
524234413340412430
6540035513354052
744046162442601
oct6356246107460
91513738716105
10444304232240
11161479179870
1272138708928
1332b8936258b
141770c279da8
15b8561ed695
hex6772988f30

444304232240 has 40 divisors (see below), whose sum is σ = 1126917100368. Its totient is φ = 161565175040.

The previous prime is 444304232227. The next prime is 444304232311. The reversal of 444304232240 is 42232403444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 444304232197 and 444304232206.

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, 252444707 + ... + 252446466.

Almost surely, 2444304232240 is an apocalyptic number.

444304232240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444304232240 is an abundant number, since it is smaller than the sum of its proper divisors (682612868128).

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

444304232240 is a wasteful number, since it uses less digits than its factorization.

444304232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504891197 (or 504891191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 444304232240 its reverse (42232403444), we get a palindrome (486536635684).

The spelling of 444304232240 in words is "four hundred forty-four billion, three hundred four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 504891173 1009782346 2019564692 2524455865 4039129384 5048911730 5553802903 8078258768 10097823460 11107605806 20195646920 22215211612 27769014515 40391293840 44430423224 55538029030 88860846448 111076058060 222152116120 444304232240