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444243021432 = 23372644303699
BaseRepresentation
bin1100111011011101111…
…00101000111001111000
31120110200001121201200020
412131232330220321320
524234302203141212
6540025445410440
744044520243460
oct6355674507170
91513601551606
10444243021432
11161447671221
1272120109a20
1332b79780472
14177040a4ba0
15b850b5bd8c
hex676ef28e78

444243021432 has 32 divisors (see below), whose sum is σ = 1269265776000. Its totient is φ = 126926577504.

The previous prime is 444243021427. The next prime is 444243021479. The reversal of 444243021432 is 234120342444.

It is a super-2 number, since 2×4442430214322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444243021393 and 444243021402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322151682 + ... + 1322152017.

It is an arithmetic number, because the mean of its divisors is an integer number (39664555500).

Almost surely, 2444243021432 is an apocalyptic number.

444243021432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444243021432 is an abundant number, since it is smaller than the sum of its proper divisors (825022754568).

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

444243021432 is a wasteful number, since it uses less digits than its factorization.

444243021432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644303715 (or 2644303711 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 444243021432 its reverse (234120342444), we get a palindrome (678363363876).

The spelling of 444243021432 in words is "four hundred forty-four billion, two hundred forty-three million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2644303699 5288607398 7932911097 10577214796 15865822194 18510125893 21154429592 31731644388 37020251786 55530377679 63463288776 74040503572 111060755358 148081007144 222121510716 444243021432