13901725078384000
13,901,725,078,384,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13901725078384000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
13901725078384000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13901725078384000:
27 × 53 × 112 × 13 × 31 × 127 × 307 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 13 × 31 × 127 × 307 × 457)See below for interesting mathematical facts about the number 13901725078384000 from the Numbermatics database.
Names of 13901725078384000
- Cardinal: 13901725078384000 can be written as Thirteen quadrillion, nine hundred one trillion, seven hundred twenty-five billion, seventy-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3901725078384 × 1016
Factors of 13901725078384000
Divisors of 13901725078384000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 50 52 55 62 64 65 80 88 100 104 110 121 124 125 127 128 130 143 155 160 176 200 208 220 242 248 250 254 260 275 286 307 310 320 325 341 352 400 403 416 440 457 484 496 500 508 520 550 572 605 614 620 635 640 650 682 704 715 775 800 806 832 880 914 968 992 1000 1016 1040 1100 1144 1210 1228 1240 1270 1300 1364 1375 1397 1408 1430 1535 1550 1573 1600 1612 1625 1651 1664 1705 1760 1828 1936 1984 2000 2015 2032 2080 2200 2285 2288 2420 2456 2480 2540 2600 2728 2750 2794 2860 3025 3070 3100 3146 3175 3200 3224 3250 3302 3377 3410 3520 3575 3656 3751 3872 3875 3937 3968 3991 4000 4030 4064 4160 4400 4433 4570 4576 4840 4912 4960 5027 5080 5200 5456 5500 5588 5720 5941 6050 6140 6200 6292 6350 6448 6500 6604 6754 6820 6985 7040 7150 7312 7502 7675 7744 7750 7865 7874 7982 8000 8060 8128 8255 8320 8525 8800 8866 9140 9152 9517 9680 9824 9920 10054 10075 10160 10400 10912 11000 11176 11425 11440 11882 12100 12280 12400 12584 12700 12896 13000 13208 13508 13640 13970 14167 14300 14624 15004 15125 15350 15367 15488 15500 15730 15748 15875 15964 16000 16120 16256 16510 16885 17050 17600 17732 17875 18161 18280 18304 18755 19034 19360 19648 19685 19840 19955 20108 20150 20320 20800 21824 22000 22165 22352 22850 22880 23764 24200 24560 24800 25135 25168 25400 25792 26000 26416 27016 27280 27940 28334 28600 29248 29705 30008 30250 30700 30734 31000 31460 31496 31750 31928 32240 33020 33770 34100 34925 35200 35464 35750 36322 36560 37147 37510 38068 38375 38720 38989 39296 39325 39370 39910 40216 40300 40640 41275 41600 42625 43307 43648 43901 44000 44330 44704 45700 45760 47528 47585 48400 48763 49120 49600 50270 50336 50375 50800 51181 51584 52000 52832 54032 54560 55297 55880 56668 57125 57200 58039 58496 59410 60016 60500 61400 61468 62000 62920 62992 63500 63856 64480 65351 66040 67540 68200 69850 70835 70928 71500 72644 73120 74294 75020 76136 76750 76835 77440 77978 78650 78740 79820 80432 80600 81280 82550 84425 85250 86614 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10693634675680 10946240219200 11211068611600 11320623028000 11489028990400 12151857586000 12637931889440 13367043344600 13682800274000 13901725078384 14013835764500 14361286238000 15209764856000 15797414861800 16708804180750 17247797864000 17377156347980 17937709778560 19442972137600 19746768577250 20383761112000 21387269351360 21721445434975 21892480438400 22422137223200 22641246056000 22978057980800 24303715172000 25275863778880 26734086689200 27365600548000 27803450156768 28027671529000 28722572476000 30419529712000 31594829723600 33417608361500 34495595728000 34754312695960 39493537154500 40767522224000 42774538702720 43442890869950 44844274446400 45282492112000 48607430344000 50551727557760 53468173378400 54731201096000 55606900313536 56055343058000 57445144952000 63189659447200 66835216723000 69508625391920 78987074309000 86885781739900 89688548892800 97214860688000 106936346756800 108607227174875 109462402192000 111213800627072 112110686116000 114890289904000 126379318894400 133670433446000 139017250783840 157974148618000 173771563479800 213872693513600 217214454349750 224221372232000 252758637788800 267340866892000 278034501567680 315948297236000 347543126959600 434428908699500 448442744464000 534681733784000 556069003135360 631896594472000 695086253919200 868857817399000 1069363467568000 1263793188944000 1390172507838400 1737715634798000 2780345015676800 3475431269596000 6950862539192000 13901725078384000
- Sum of all divisors σ(n): 42797716533411840
- Sum of proper divisors (its aliquot sum) s(n): 28895991455027840
- 13901725078384000 is an abundant number, because the sum of its proper divisors (28895991455027840) is greater than itself. Its abundance is 14994266376643840
Bases of 13901725078384000
- Binary: 1100010110001110001011100110010000111111101101100000002
- Hexadecimal: 0x31638B990FED80
- Base-36: 3SVR0C3RJB4
Squares and roots of 13901725078384000
- 13901725078384000 squared (139017250783840002) is 193257960154970630944051456000000
- 13901725078384000 cubed (139017250783840003) is 2686619031283691043247911663080129327104000000000
-
The
square root of 13901725078384000 is 117905576.9604813901 -
The
cube root of 13901725078384000 is 240448.9575383307
Scales and comparisons
How big is 13901725078384000?- 13,901,725,078,384,000 seconds is equal to 442,031,856 years, 32 weeks, 6 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,901,725,078,384,000 would take you about one billion, three hundred twenty-six million, ninety-five thousand, five hundred sixty-nine 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 13901725078384000 cubic inches would be around 20037.4 feet tall.
Recreational maths with 13901725078384000
- 13901725078384000 backwards is 00048387052710931
- The number of decimal digits it has is: 17
- The sum of 13901725078384000's digits is 58
- More coming soon!
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"Number 13901725078384000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 13901725078384000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13901725078384000/
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Numbermatics. 2024. "Number 13901725078384000 - Facts about the integer". https://numbermatics.com/n/13901725078384000/
The information we have on file for 13901725078384000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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