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444404040440 = 23530113368947
BaseRepresentation
bin1100111011110001000…
…10111000001011111000
31120111002021121100020012
412131320202320023320
524240114413243230
6540053440521052
744051514005603
oct6357042701370
91514067540205
10444404040440
1116151a54a188
1272166020188
1332ba3c39999
141771b61b33a
15b85ed66395
hex67788b82f8

444404040440 has 32 divisors (see below), whose sum is σ = 999945006480. Its totient is φ = 177755231232.

The previous prime is 444404040439. The next prime is 444404040449. The reversal of 444404040440 is 44040404444.

It is a junction number, because it is equal to n+sod(n) for n = 444404040397 and 444404040406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444404040449) 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, 1020047 + ... + 1388993.

Almost surely, 2444404040440 is an apocalyptic number.

444404040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444404040440 is an abundant number, since it is smaller than the sum of its proper divisors (555540966040).

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

444404040440 is a wasteful number, since it uses less digits than its factorization.

444404040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399071 (or 399067 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444404040440 its reverse (44040404444), we get a palindrome (488444444884).

It can be divided in two parts, 4 and 44404040440, that added together give a palindrome (44404040444).

The spelling of 444404040440 in words is "four hundred forty-four billion, four hundred four million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 30113 60226 120452 150565 240904 301130 368947 602260 737894 1204520 1475788 1844735 2951576 3689470 7378940 14757880 11110101011 22220202022 44440404044 55550505055 88880808088 111101010110 222202020220 444404040440