13973470088864000
13,973,470,088,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13973470088864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
13973470088864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13973470088864000:
28 × 53 × 11 × 13 × 3053642939
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 3053642939)See below for interesting mathematical facts about the number 13973470088864000 from the Numbermatics database.
Names of 13973470088864000
- Cardinal: 13973470088864000 can be written as Thirteen quadrillion, nine hundred seventy-three trillion, four hundred seventy billion, eighty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3973470088864 × 1016
Factors of 13973470088864000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 3053642970
Divisors of 13973470088864000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 128 130 143 160 176 200 208 220 250 256 260 275 286 320 325 352 400 416 440 500 520 550 572 640 650 704 715 800 832 880 1000 1040 1100 1144 1280 1300 1375 1408 1430 1600 1625 1664 1760 2000 2080 2200 2288 2600 2750 2816 2860 3200 3250 3328 3520 3575 4000 4160 4400 4576 5200 5500 5720 6400 6500 7040 7150 8000 8320 8800 9152 10400 11000 11440 13000 14080 14300 16000 16640 17600 17875 18304 20800 22000 22880 26000 28600 32000 35200 35750 36608 41600 44000 45760 52000 57200 70400 71500 83200 88000 91520 104000 114400 143000 176000 183040 208000 228800 286000 352000 416000 457600 572000 915200 1144000 2288000 4576000 3053642939 6107285878 12214571756 15268214695 24429143512 30536429390 33590072329 39697358207 48858287024 61072858780 67180144658 76341073475 79394716414 97716574048 122145717560 134360289316 152682146950 158789432828 167950361645 195433148096 198486791035 244291435120 268720578632 305364293900 317578865656 335900723290 381705367375 390866296192 396973582070 436670940277 488582870240 537441157264 610728587800 635157731312 671801446580 763410734750 781732592384 793947164140 839751808225 873341880554 977165740480 992433955175 1074882314528 1221457175600 1270315462624 1343602893160 1526821469500 1587894328280 1679503616450 1746683761108 1954331480960 1984867910350 2149764629056 2183354701385 2442914351200 2540630925248 2687205786320 3053642939000 3175788656560 3359007232900 3493367522216 3908662961920 3969735820700 4198759041125 4299529258112 4366709402770 4885828702400 4962169775875 5081261850496 5374411572640 6107285878000 6351577313120 6718014465800 6986735044432 7939471641400 8397518082250 8599058516224 8733418805540 9771657404800 9924339551750 10162523700992 10748823145280 10916773506925 12214571756000 12703154626240 13436028931600 13973470088864 15878943282800 16795036164500 17466837611080 19543314809600 19848679103500 21497646290560 21833547013850 24429143512000 25406309252480 26872057863200 27946940177728 31757886565600 33590072329000 34933675222160 39697358207000 42995292581120 43667094027700 48858287024000 50812618504960 53744115726400 54583867534625 55893880355456 63515773131200 67180144658000 69867350444320 79394716414000 87334188055400 97716574048000 107488231452800 109167735069250 111787760710912 127031546262400 134360289316000 139734700888640 158789432828000 174668376110800 214976462905600 218335470138500 254063092524800 268720578632000 279469401777280 317578865656000 349336752221600 436670940277000 537441157264000 558938803554560 635157731312000 698673504443200 873341880554000 1074882314528000 1270315462624000 1397347008886400 1746683761108000 2794694017772800 3493367522216000 6986735044432000 13973470088864000
- Sum of all divisors σ(n): 40895265701646720
- Sum of proper divisors (its aliquot sum) s(n): 26921795612782720
- 13973470088864000 is an abundant number, because the sum of its proper divisors (26921795612782720) is greater than itself. Its abundance is 12948325523918720
Bases of 13973470088864000
- Binary: 1100011010010011001100000010001110110100100001000000002
- Hexadecimal: 0x31A4CC08ED2100
- Base-36: 3TL6JJELQ0W
Squares and roots of 13973470088864000
- 13973470088864000 squared (139734700888640002) is 195257866324376884056810496000000
- 13973470088864000 cubed (139734700888640003) is 2728429954699085691110747186365527916544000000000
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The
square root of 13973470088864000 is 118209433.1636185455 -
The
cube root of 13973470088864000 is 240861.8900083733
Scales and comparisons
How big is 13973470088864000?- 13,973,470,088,864,000 seconds is equal to 444,313,126 years, 2 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 13,973,470,088,864,000 would take you about one billion, three hundred thirty-two million, nine hundred thirty-nine thousand, three hundred seventy-eight 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 13973470088864000 cubic inches would be around 20071.8 feet tall.
Recreational maths with 13973470088864000
- 13973470088864000 backwards is 00046888007437931
- The number of decimal digits it has is: 17
- The sum of 13973470088864000's digits is 68
- More coming soon!
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