13940474168419920
13,940,474,168,419,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13940474168419920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2400 divisors.
13940474168419920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13940474168419920:
24 × 32 × 5 × 114 × 31 × 61 × 641 × 1091
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 31 × 61 × 641 × 1091)See below for interesting mathematical facts about the number 13940474168419920 from the Numbermatics database.
Names of 13940474168419920
- Cardinal: 13940474168419920 can be written as Thirteen quadrillion, nine hundred forty trillion, four hundred seventy-four billion, one hundred sixty-eight million, four hundred nineteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.394047416841992 × 1016
Factors of 13940474168419920
Divisors of 13940474168419920
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 33 36 40 44 45 48 55 60 61 62 66 72 80 88 90 93 99 110 120 121 122 124 132 144 155 165 176 180 183 186 198 220 240 242 244 248 264 279 305 310 330 341 360 363 366 372 396 440 465 484 488 495 496 528 549 558 605 610 620 641 660 671 682 720 726 732 744 792 880 915 930 968 976 990 1023 1089 1091 1098 1116 1210 1220 1240 1282 1320 1331 1342 1364 1395 1452 1464 1488 1584 1705 1815 1830 1860 1891 1923 1936 1980 2013 2046 2178 2182 2196 2232 2420 2440 2480 2564 2640 2662 2684 2728 2745 2790 2904 2928 3069 3205 3273 3355 3410 3630 3660 3720 3751 3782 3846 3960 3993 4026 4092 4356 4364 4392 4464 4840 4880 5115 5128 5324 5368 5445 5455 5456 5490 5580 5673 5769 5808 6039 6138 6410 6546 6655 6710 6820 7051 7260 7320 7381 7440 7502 7564 7692 7920 7986 8052 8184 8712 8728 8784 9455 9615 9680 9819 10065 10230 10256 10648 10736 10890 10910 10980 11160 11253 11346 11538 11979 12001 12078 12276 12820 13092 13310 13420 13640 14102 14520 14640 14641 14762 15004 15128 15345 15384 15972 16104 16365 16368 17019 17424 17456 18755 18910 19230 19638 19871 19965 20130 20460 20801 21153 21296 21780 21820 21960 22143 22320 22506 22692 23076 23958 24002 24156 24552 25640 26184 26620 26840 27280 28204 28365 28845 29040 29282 29524 30008 30195 30256 30690 30768 31944 32208 32730 33759 33821 34038 35255 36003 36905 37510 37820 38460 39101 39276 39742 39930 40260 40920 41261 41602 42306 43560 43640 43920 43923 44286 45012 45384 46152 47916 48004 48312 49095 49104 51280 52368 53240 53680 56265 56408 56730 57690 58564 59048 59613 59895 60005 60016 60390 61380 62403 63459 63888 65460 66429 66551 67518 67642 68076 70510 72006 73205 73810 75020 75640 76920 77561 78202 78552 79484 79860 80520 81191 81840 82522 83204 84612 85095 87120 87280 87846 88572 90024 90768 92304 95832 96008 96624 98190 99355 101463 104005 105765 106480 108009 110715 112530 112816 113460 115380 117128 117303 118096 119226 119790 120010 120780 122760 123783 124806 126918 130920 131769 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1277770317912 1280117003528 1298479337595 1309210571790 1359250601445 1362705197304 1385044626768 1419744797680 1440131628969 1449867308208 1474402344624 1587030301505 1597212897390 1600146254410 1703381496630 1731305783460 1745614095720 1760160879851 1812334135260 1843002930780 1858234359960 1873719646293 1888697218320 1904436361806 1920175505292 1977091783920 2044057795956 2077566940152 2094736914864 2129617196520 2174800962312 2271175328840 2308407711280 2400219381615 2416445513680 2457337241040 2498292861724 2539248482408 2555072244945 2555540635824 2560234007056 2596958675190 2618421143580 2718501202890 2725410394608 2856654542709 2880263257938 3122866077155 3174060603010 3194425794780 3200292508820 3406762993260 3462611566920 3491228191440 3520321759702 3624668270520 3686005861560 3716468719920 3747439292586 3808872723612 3840351010584 4088115591912 4155133880304 4259234393040 4349601924624 4542350657680 4761090904515 4800438763230 4996585723448 5078496964816 5110144489890 5193917350380 5236842287160 5280482639553 5437002405780 5621158938879 5713309085418 5760526515876 6245732154310 6348121206020 6388851589560 6400585017640 6813525986520 6925223133840 7040643519404 7200658144845 7249336541040 7372011723120 7494878585172 7617745447224 7680702021168 8176231183824 8800804399255 9368598231465 9522181809030 9600877526460 9993171446896 10220288979780 10387834700760 10473684574320 10560965279106 10874004811560 11242317877758 11426618170836 11521053031752 12491464308620 12696242412040 12777703179120 12801170035280 13627051973040 14081287038808 14283272713545 14401316289690 14989757170344 15235490894448 15841447918659 17601608798510 18737196462930 19044363618060 19201755052920 19361769678361 20440577959560 20775669401520 21121930558212 21748009623120 22484635755516 22853236341672 23042106063504 24982928617240 25392484824080 26402413197765 28105794694395 28162574077616 28566545427090 28802632579380 29979514340688 31682895837318 35203217597020 37474392925860 38088727236120 38403510105840 38723539356722 40881155919120 42243861116424 44969271511032 45706472683344 49965857234480 52804826395530 56211589388790 57133090854180 57605265158760 58085309035083 63365791674636 70406435194040 74948785851720 76177454472240 77447078713444 79207239593295 84487722232848 89938543022064 96808848391805 105609652791060 112423178777580 114266181708360 115210530317520 116170618070166 126731583349272 140812870388080 149897571703440 154894157426888 158414479186590 174255927105249 193617696783610 211219305582120 224846357555160 228532363416720 232341236140332 253463166698544 290426545175415 309788314853776 316828958373180 348511854210498 387235393567220 422438611164240 449692715110320 464682472280664 580853090350830 633657916746360 697023708420996 774470787134440 871279635526245 929364944561328 1161706180701660 1267315833492720 1394047416841992 1548941574268880 1742559271052490 2323412361403320 2788094833683984 3485118542104980 4646824722806640 6970237084209960 13940474168419920
- Sum of all divisors σ(n): 54164702227184640
- Sum of proper divisors (its aliquot sum) s(n): 40224228058764720
- 13940474168419920 is an abundant number, because the sum of its proper divisors (40224228058764720) is greater than itself. Its abundance is 26283753890344800
Bases of 13940474168419920
- Binary: 1100011000011011001001100100101100111100100110010100002
- Hexadecimal: 0x3186C992CF2650
- Base-36: 3T9HHF7I0K0
Squares and roots of 13940474168419920
- 13940474168419920 squared (139404741684199202) is 194336820040383060049429452806400
- 13940474168419920 cubed (139404741684199203) is 2709147419745830682915221744561950720897663488000
-
The
square root of 13940474168419920 is 118069785.1629277761 -
The
cube root of 13940474168419920 is 240672.1560948873
Scales and comparisons
How big is 13940474168419920?- 13,940,474,168,419,920 seconds is equal to 443,263,957 years, 43 weeks, 4 days, 12 minutes.
-
To count from 1 to 13,940,474,168,419,920 would take you about one billion, three hundred twenty-nine million, seven hundred ninety-one thousand, eight hundred seventy-three 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 13940474168419920 cubic inches would be around 20056 feet tall.
Recreational maths with 13940474168419920
- 13940474168419920 backwards is 02991486147404931
- 13940474168419920 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13940474168419920's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13940474168419920 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 13940474168419920 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13940474168419920/
Chicago style:
Numbermatics. 2024. "Number 13940474168419920 - Facts about the integer". https://numbermatics.com/n/13940474168419920/
The information we have on file for 13940474168419920 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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