10382235072273120
10,382,235,072,273,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10382235072273120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
10382235072273120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 10382235072273120:
25 × 3 × 5 × 7 × 19 × 23 × 7070825891
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 23 × 7070825891)See below for interesting mathematical facts about the number 10382235072273120 from the Numbermatics database.
Names of 10382235072273120
- Cardinal: 10382235072273120 can be written as Ten quadrillion, three hundred eighty-two trillion, two hundred thirty-five billion, seventy-two million, two hundred seventy-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.038223507227312 × 1016
Factors of 10382235072273120
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 7070825950
Divisors of 10382235072273120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 28 30 32 35 38 40 42 46 48 56 57 60 69 70 76 80 84 92 95 96 105 112 114 115 120 133 138 140 152 160 161 168 184 190 210 224 228 230 240 266 276 280 285 304 322 336 345 368 380 399 420 437 456 460 480 483 532 552 560 570 608 644 665 672 690 736 760 798 805 840 874 912 920 966 1064 1104 1120 1140 1288 1311 1330 1380 1520 1596 1610 1680 1748 1824 1840 1932 1995 2128 2185 2208 2280 2415 2576 2622 2660 2760 3040 3059 3192 3220 3360 3496 3680 3864 3990 4256 4370 4560 4830 5152 5244 5320 5520 6118 6384 6440 6555 6992 7728 7980 8740 9120 9177 9660 10488 10640 11040 12236 12768 12880 13110 13984 15295 15456 15960 17480 18354 19320 20976 21280 24472 25760 26220 30590 31920 34960 36708 38640 41952 45885 48944 52440 61180 63840 69920 73416 77280 91770 97888 104880 122360 146832 183540 209760 244720 293664 367080 489440 734160 1468320 7070825891 14141651782 21212477673 28283303564 35354129455 42424955346 49495781237 56566607128 70708258910 84849910692 98991562474 106062388365 113133214256 134345691929 141416517820 148487343711 162628995493 169699821384 197983124948 212124776730 226266428512 247478906185 268691383858 282833035640 296974687422 325257990986 339399642768 395966249896 403037075787 424249553460 487886986479 494957812370 537382767716 565666071280 593949374844 650515981972 671728459645 678799285536 742436718555 791932499792 806074151574 813144977465 848499106920 940419843503 975773972958 989915624740 1074765535432 1131332142560 1138402968451 1187898749688 1301031963944 1343456919290 1484873437110 1583864999584 1612148303148 1626289954930 1696998213840 1880839687006 1951547945916 1979831249480 2015185378935 2149531070864 2276805936902 2375797499376 2439434932395 2602063927888 2686913838580 2821259530509 2969746874220 3089950914367 3224296606296 3252579909860 3393996427680 3415208905353 3761679374012 3903095891832 3959662498960 4030370757870 4299062141728 4553611873804 4702099217515 4751594998752 4878869864790 5204127855776 5373827677160 5642519061018 5692014842255 5939493748440 6179901828734 6448593212592 6505159819720 6830417810706 7523358748024 7806191783664 7919324997920 8060741515740 9107223747608 9269852743101 9404198435030 9757739729580 10747655354320 11285038122036 11384029684510 11878987496880 12359803657468 12897186425184 13010319639440 13660835621412 14106297652545 15046717496048 15449754571835 15612383567328 16121483031480 17076044526765 18214447495216 18539705486202 18808396870060 19515479459160 21495310708640 21629656400569 22570076244072 22768059369020 23757974993760 24719607314936 26020639278880 27321671242824 28212595305090 30093434992096 30899509143670 32242966062960 34152089053530 36428894990432 37079410972404 37616793740120 39030958918320 43259312801138 45140152488144 45536118738040 46349263715505 49439214629872 54643342485648 56425190610180 61799018287340 64485932125920 64888969201707 68304178107060 74158821944808 75233587480240 78061917836640 86518625602276 90280304976288 91072237476080 92698527431010 98878429259744 108148282002845 109286684971296 112850381220360 123598036574680 129777938403414 136608356214120 148317643889616 150467174960480 173037251204552 182144474952160 185397054862020 216296564005690 225700762440720 247196073149360 259555876806828 273216712428240 296635287779232 324444846008535 346074502409104 370794109724040 432593128011380 451401524881440 494392146298720 519111753613656 546433424856480 648889692017070 692149004818208 741588219448080 865186256022760 1038223507227312 1297779384034140 1483176438896160 1730372512045520 2076447014454624 2595558768068280 3460745024091040 5191117536136560 10382235072273120
- Sum of all divisors σ(n): 41053780795023360
- Sum of proper divisors (its aliquot sum) s(n): 30671545722750240
- 10382235072273120 is an abundant number, because the sum of its proper divisors (30671545722750240) is greater than itself. Its abundance is 20289310650477120
Bases of 10382235072273120
- Binary: 1001001110001010010110011110010111010100011010111000002
- Hexadecimal: 0x24E29679751AE0
- Base-36: 2U870Y4NYLC
Squares and roots of 10382235072273120
- 10382235072273120 squared (103822350722731202) is 107790805095938037269803874534400
- 10382235072273120 cubed (103822350722731203) is 1119109477135604039969203509491664184689635328000
-
The
square root of 10382235072273120 is 101893253.3206841915 -
The
cube root of 10382235072273120 is 218154.2204213273
Scales and comparisons
How big is 10382235072273120?- 10,382,235,072,273,120 seconds is equal to 330,122,960 years, 48 weeks, 4 days, 22 hours, 32 minutes.
-
To count from 1 to 10,382,235,072,273,120 would take you about nine hundred ninety million, three hundred sixty-eight thousand, eight hundred eighty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 10382235072273120 cubic inches would be around 18179.5 feet tall.
Recreational maths with 10382235072273120
- 10382235072273120 backwards is 02137227053228301
- 10382235072273120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10382235072273120's digits is 48
- More coming soon!
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