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442335404533244 = 2214940211297914221
BaseRepresentation
bin110010010010011010011110…
…0101010001010010111111100
32011000011211222212211122101112
41210210310330222022113330
5430434210402030030434
64204434025103301152
7162112451452005245
oct14444647452122774
92130154885748345
10442335404533244
11118a3a434220682
124173b693baa7b8
1315ca8085169c21
147b3320d845ccc
15362125b823dce
hex1924d3ca8a5fc

442335404533244 has 48 divisors (see below), whose sum is σ = 779590848036000. Its totient is φ = 219596356627200.

The previous prime is 442335404533199. The next prime is 442335404533279.

It is a happy number.

442335404533244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4423354045332442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442335404533192 and 442335404533201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31104374054 + ... + 31104388274.

It is an arithmetic number, because the mean of its divisors is an integer number (16241476000750).

Almost surely, 2442335404533244 is an apocalyptic number.

It is an amenable number.

442335404533244 is a deficient number, since it is larger than the sum of its proper divisors (337255443502756).

442335404533244 is a wasteful number, since it uses less digits than its factorization.

442335404533244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31374 (or 31372 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 50.

It can be divided in two parts, 44233540 and 4533244, that added together give a palindrome (48766784).

The spelling of 442335404533244 in words is "four hundred forty-two trillion, three hundred thirty-five billion, four hundred four million, five hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 4 149 298 596 4021 8042 12979 14221 16084 25958 28442 51916 56884 599129 1198258 1933871 2118929 2396516 3867742 4237858 7735484 8475716 52188559 57182641 104377118 114365282 184574359 208754236 228730564 369148718 738297436 7776095291 8520213509 15552190582 17040427018 27501579491 31104381164 34080854036 55003158982 110006317964 742173497539 1484346995078 2968693990156 110583851133311 221167702266622 442335404533244