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53410111431144 = 233131918114975043
BaseRepresentation
bin11000010010011100000101…
…01110000010000111101000
321000002221211111102211111120
430021032002232002013220
524000032402011244034
6305332133320055240
714151516231343266
oct1411160256020750
9230087744384446
1053410111431144
1116022112560026
125ba72a2304520
1323a5723695260
14d290c5551436
156294bd81bc49
hex309382b821e8

53410111431144 has 128 divisors (see below), whose sum is σ = 151448299430400. Its totient is φ = 15560339362560.

The previous prime is 53410111431139. The next prime is 53410111431211. The reversal of 53410111431144 is 44113411101435.

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, 8248087 + ... + 13223129.

It is an arithmetic number, because the mean of its divisors is an integer number (1183189839300).

Almost surely, 253410111431144 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 53410111431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75724149715200).

53410111431144 is an abundant number, since it is smaller than the sum of its proper divisors (98038187999256).

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

53410111431144 is a wasteful number, since it uses less digits than its factorization.

53410111431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976895 (or 4976891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 53410111431144 its reverse (44113411101435), we get a palindrome (97523522532579).

The spelling of 53410111431144 in words is "fifty-three trillion, four hundred ten billion, one hundred eleven million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1811 1976 2964 3622 5433 5928 7244 10866 14488 21732 23543 34409 43464 47086 68818 70629 94172 103227 137636 141258 188344 206454 275272 282516 412908 447317 565032 825816 894634 1341951 1789268 2683902 3578536 4975043 5367804 9950086 10735608 14925129 19900172 29850258 39800344 59700516 64675559 94525817 119401032 129351118 189051634 194026677 258702236 283577451 378103268 388053354 517404472 567154902 756206536 776106708 1134309804 1228835621 1552213416 2268619608 2457671242 3686506863 4915342484 7373013726 9009802873 9830684968 14746027452 18019605746 27029408619 29492054904 36039211492 54058817238 72078422984 108117634476 117127437349 171186254587 216235268952 234254874698 342372509174 351382312047 468509749396 513558763761 684745018348 702764624094 937019498792 1027117527522 1369490036696 1405529248188 2054235055044 2225421309631 2811058496376 4108470110088 4450842619262 6676263928893 8901685238524 13352527857786 17803370477048 26705055715572 53410111431144