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4443036303444 = 22331241376113177
BaseRepresentation
bin100000010100111100110…
…0110011100000001010100
3120201202020211122210201120
41000221321212130001110
51040243314243202234
613241034103323540
7635666403311424
oct100517146340124
916652224583646
104443036303444
1114633101887a2
125b910ba505b0
13262c9057198b
14115089046484
157a890c01049
hex40a7999c054

4443036303444 has 96 divisors (see below), whose sum is σ = 10749584305152. Its totient is φ = 1426802688000.

The previous prime is 4443036303427. The next prime is 4443036303479.

4443036303444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44430363034442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4443036303396 and 4443036303405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337174584 + ... + 337187760.

It is an arithmetic number, because the mean of its divisors is an integer number (111974836512).

Almost surely, 24443036303444 is an apocalyptic number.

It is an amenable number.

4443036303444 is an abundant number, since it is smaller than the sum of its proper divisors (6306548001708).

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

4443036303444 is a wasteful number, since it uses less digits than its factorization.

4443036303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17215 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 42.

The spelling of 4443036303444 in words is "four trillion, four hundred forty-three billion, thirty-six million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 241 372 482 723 964 1446 2892 3761 7471 7522 11283 13177 14942 15044 22413 22566 26354 29884 39531 44826 45132 52708 79062 89652 116591 158124 233182 349773 408487 466364 699546 816974 906401 1225461 1399092 1633948 1812802 2450922 2719203 3175657 3625604 4901844 5438406 6351314 9526971 10876812 12702628 19053942 28098431 38107884 49558697 56196862 84295293 98445367 99117394 112393724 148676091 168590586 196890734 198234788 295336101 297352182 337181172 393781468 590672202 594704364 1181344404 1536319607 3072639214 4608958821 6145278428 9217917642 11943645977 18435835284 23887291954 35830937931 47774583908 71661875862 143323751724 370253025287 740506050574 1110759075861 1481012101148 2221518151722 4443036303444