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444382283444 = 221143234874357
BaseRepresentation
bin1100111011101110011…
…11111000011010110100
31120111000202122222020112
412131313033320122310
524240043331032234
6540051342322152
744051131041251
oct6356717703264
91514022588215
10444382283444
111615092398a0
127215a889358
1332b9c58c918
1417718796428
15b85ceb9ace
hex67773f86b4

444382283444 has 24 divisors (see below), whose sum is σ = 868095627168. Its totient is φ = 197294459040.

The previous prime is 444382283437. The next prime is 444382283473.

444382283444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443822834442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444382283392 and 444382283401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117435287 + ... + 117439070.

It is an arithmetic number, because the mean of its divisors is an integer number (36170651132).

Almost surely, 2444382283444 is an apocalyptic number.

444382283444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444382283444 is a deficient number, since it is larger than the sum of its proper divisors (423713343724).

444382283444 is a wasteful number, since it uses less digits than its factorization.

444382283444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234874415 (or 234874413 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 444382283444 in words is "four hundred forty-four billion, three hundred eighty-two million, two hundred eighty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 234874357 469748714 939497428 2583617927 5167235854 10099597351 10334471708 20199194702 40398389404 111095570861 222191141722 444382283444