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45310641430640 = 24516352315114397
BaseRepresentation
bin10100100110101101101001…
…01011111110000001110000
312221102122200111200212000112
422103112310223332001300
521414332143201240030
6240211231000440452
712354404635306415
oct1223266453760160
9187378614625015
1045310641430640
111348a153929203
1250b960a179128
131c38a1001b441
14b290923b610c
15538978e5da95
hex2935b4afe070

45310641430640 has 160 divisors (see below), whose sum is σ = 106290657962496. Its totient is φ = 17962638382080.

The previous prime is 45310641430631. The next prime is 45310641430643. The reversal of 45310641430640 is 4603414601354.

45310641430640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45310641430643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10304896922 + ... + 10304901318.

Almost surely, 245310641430640 is an apocalyptic number.

45310641430640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45310641430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53145328981248).

45310641430640 is an abundant number, since it is smaller than the sum of its proper divisors (60980016531856).

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

45310641430640 is a wasteful number, since it uses less digits than its factorization.

45310641430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 45310641430640 in words is "forty-five trillion, three hundred ten billion, six hundred forty-one million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 523 652 815 1046 1304 1511 1630 2092 2608 2615 3022 3260 4184 4397 5230 6044 6520 7555 8368 8794 10460 12088 13040 15110 17588 20920 21985 24176 30220 35176 41840 43970 60440 70352 85249 87940 120880 170498 175880 246293 340996 351760 426245 492586 681992 716711 790253 852490 985172 1231465 1363984 1433422 1580506 1704980 1970344 2299631 2462930 2866844 3161012 3409960 3583555 3940688 3951265 4599262 4925860 5733688 6322024 6643867 6819920 7167110 7902530 9198524 9851720 11467376 11498155 12644048 13287734 14334220 15805060 18397048 19703440 22996310 26575468 28668440 31610120 33219335 36794096 45992620 53150936 57336880 63220240 66438670 91985240 106301872 128811239 132877340 183970480 257622478 265754680 374839853 515244956 531509360 644056195 749679706 1030489912 1082950321 1288112390 1499359412 1874199265 2060979824 2165900642 2576224780 2998718824 3474742441 3748398530 4331801284 5152449560 5414751605 5997437648 6949484882 7496797060 8663602568 10304899120 10829503210 13898969764 14993594120 17327205136 17373712205 21659006420 27797939528 29987188240 34747424410 43318012840 55595879056 69494848820 86636025680 138989697640 277979395280 566383017883 1132766035766 2265532071532 2831915089415 4531064143064 5663830178830 9062128286128 11327660357660 22655320715320 45310641430640