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440164236336412 = 227194783920981827
BaseRepresentation
bin110010000010100111011100…
…0111100110001110100011100
32010201111021211102211110111211
41210011032320330301310130
5430143122324000231122
64200052354133554204
7161466550051562320
oct14405167074616434
92121437742743454
10440164236336412
111182826713990a5
124144a9401a5964
1315b7b403940c63
147a9a0c410b980
1535d4a36693877
hex19053b8f31d1c

440164236336412 has 96 divisors (see below), whose sum is σ = 947505781555200. Its totient is φ = 174702404587968.

The previous prime is 440164236336389. The next prime is 440164236336491. The reversal of 440164236336412 is 214633632461044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10487443 + ... + 31469269.

It is an arithmetic number, because the mean of its divisors is an integer number (9869851891200).

Almost surely, 2440164236336412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440164236336412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473752890777600).

440164236336412 is an abundant number, since it is smaller than the sum of its proper divisors (507341545218788).

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

440164236336412 is a wasteful number, since it uses less digits than its factorization.

440164236336412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20982743 (or 20982741 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 49.

Adding to 440164236336412 its reverse (214633632461044), we get a palindrome (654797868797456).

The spelling of 440164236336412 in words is "four hundred forty trillion, one hundred sixty-four billion, two hundred thirty-six million, three hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 47 76 94 133 188 266 329 532 658 839 893 1316 1678 1786 3356 3572 5873 6251 11746 12502 15941 23492 25004 31882 39433 63764 78866 111587 157732 223174 276031 446348 552062 749227 1104124 1498454 2996908 5244589 10489178 20978356 20981827 41963654 83927308 146872789 293745578 398654713 587491156 797309426 986145869 1594618852 1972291738 2790582991 3944583476 5581165982 6903021083 11162331964 13806042166 17603752853 18736771511 27612084332 35207505706 37473543022 70415011412 74947086044 123226269971 131157400577 246452539942 262314801154 334471304207 492905079884 524629602308 668942608414 827376384091 1337885216828 1654752768182 2341299129449 3309505536364 4682598258898 5791634688637 9365196517796 11583269377274 15720151297729 23166538754548 31440302595458 62880605190916 110041059084103 220082118168206 440164236336412