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440053133304144 = 243831932812036677
BaseRepresentation
bin110010000001110011101101…
…0101100010110000101010000
32010201002200001110212122022210
41210003213122230112011100
5430134312304111213034
64155525341342232120
7161455534604436333
oct14403473254260520
92121080043778283
10440053133304144
1111823a538652578
12414312b3b85640
1315b70aa8a71149
147a9498463a61a
1535d1bd28168e9
hex19039dab16150

440053133304144 has 160 divisors (see below), whose sum is σ = 1160577593529984. Its totient is φ = 143653112709120.

The previous prime is 440053133304137. The next prime is 440053133304149. The reversal of 440053133304144 is 441403331350044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440053133304149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215045934 + ... + 217082610.

Almost surely, 2440053133304144 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 440053133304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580288796764992).

440053133304144 is an abundant number, since it is smaller than the sum of its proper divisors (720524460225840).

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

440053133304144 is a wasteful number, since it uses less digits than its factorization.

440053133304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037245 (or 2037239 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 440053133304144 its reverse (441403331350044), we get a palindrome (881456464654188).

The spelling of 440053133304144 in words is "four hundred forty trillion, fifty-three billion, one hundred thirty-three million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 193 249 281 332 386 498 562 579 664 772 843 996 1124 1158 1328 1544 1686 1992 2248 2316 3088 3372 3984 4496 4632 6744 9264 13488 16019 23323 32038 46646 48057 54233 64076 69969 93292 96114 108466 128152 139938 162699 186584 192228 216932 256304 279876 325398 373168 384456 433864 559752 650796 768912 867728 1119504 1301592 2036677 2603184 4073354 4501339 6110031 8146708 9002678 12220062 13504017 16293416 18005356 24440124 27008034 32586832 36010712 48880248 54016068 72021424 97760496 108032136 169044191 216064272 338088382 393078661 507132573 572306237 676176764 786157322 1014265146 1144612474 1179235983 1352353528 1572314644 1716918711 2028530292 2289224948 2358471966 2704707056 3144629288 3433837422 4057060584 4578449896 4716943932 6289258576 6867674844 8114121168 9156899792 9433887864 13735349688 18867775728 27470699376 32625528863 47501417671 65251057726 95002835342 97876586589 110455103741 130502115452 142504253013 190005670684 195753173178 220910207482 261004230904 285008506026 331365311223 380011341368 391506346356 441820414964 522008461808 570017012052 662730622446 760022682736 783012692712 883640829928 1140034024104 1325461244892 1566025385424 1767281659856 2280068048208 2650922489784 5301844979568 9167773610503 18335547221006 27503320831509 36671094442012 55006641663018 73342188884024 110013283326036 146684377768048 220026566652072 440053133304144