213881838948014400
213,881,838,948,014,400 is an even composite number composed of seven prime numbers multiplied together.
213881838948014400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 213881838948014400:
26 × 35 × 52 × 29 × 97 × 373 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 97 × 373 × 524287)See below for interesting mathematical facts about the number 213881838948014400 from the Numbermatics database.
Names of 213881838948014400
- Cardinal: 213881838948014400 can be written as Two hundred thirteen quadrillion, eight hundred eighty-one trillion, eight hundred thirty-eight billion, nine hundred forty-eight million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.138818389480144 × 1017
Factors of 213881838948014400
Divisors of 213881838948014400
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 97 100 108 116 120 135 144 145 150 160 162 174 180 192 194 200 216 225 232 240 243 261 270 288 290 291 300 320 324 348 360 373 388 400 405 432 435 450 464 480 485 486 522 540 576 580 582 600 648 675 696 720 725 746 776 783 800 810 864 870 873 900 928 960 970 972 1044 1080 1119 1160 1164 1200 1215 1296 1305 1350 1392 1440 1450 1455 1492 1552 1566 1600 1620 1728 1740 1746 1800 1856 1865 1940 1944 2025 2088 2160 2175 2238 2320 2328 2349 2400 2425 2430 2592 2610 2619 2700 2784 2813 2880 2900 2910 2984 3104 3132 3240 3357 3480 3492 3600 3730 3880 3888 3915 4050 4176 4320 4350 4365 4476 4640 4656 4698 4800 4850 4860 5184 5220 5238 5400 5568 5595 5626 5800 5820 5968 6075 6208 6264 6480 6525 6714 6960 6984 7047 7200 7275 7460 7760 7776 7830 7857 8100 8352 8439 8640 8700 8730 8952 9280 9312 9325 9396 9700 9720 10071 10440 10476 10800 10817 11190 11252 11600 11640 11745 11936 12150 12528 12960 13050 13095 13428 13920 13968 14065 14094 14400 14550 14920 15520 15552 15660 15714 16200 16704 16785 16878 17400 17460 17904 18624 18650 18792 19400 19440 19575 20142 20880 20952 21600 21634 21825 22380 22504 23200 23280 23490 23571 23872 24300 25056 25317 25920 26100 26190 26856 27840 27936 27975 28130 28188 29100 29840 30213 31040 31320 31428 32400 32451 33570 33756 34800 34920 35235 35808 36181 37300 37584 38800 38880 39150 39285 40284 41760 41904 42195 43200 43268 43650 44760 45008 46400 46560 46980 47142 48600 50112 50355 50634 52200 52380 53712 54085 55872 55950 56260 56376 58200 58725 59680 60426 62640 62856 64800 64902 65475 67140 67512 69600 69840 70325 70470 71616 72362 74600 75168 75951 77600 77760 78300 78570 80568 83520 83808 83925 84390 86536 87300 89520 90016 90639 93120 93960 94284 97200 97353 100710 101268 104400 104760 107424 108170 108543 111900 112520 112752 116400 117450 117855 119360 120852 125280 125712 126585 129600 129804 130950 134280 135024 139200 139680 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61460298548280 63712195099200 66012913255560 68289220609200 68905231619850 71676219486600 73498913727840 73752358257936 74264527412505 76033359028800 76825373185350 79215495906672 81665459697600 81947064731040 82516141569450 88017217674080 88198696473408 89117432895006 91052294145600 91873642159800 92190447822420 95568292648800 98336477677248 99019369883340 102433830913800 105620661208896 110021522092600 110248370591760 114681951178560 115238059778025 118823243860008 122498189546400 122920597096560 123774212354175 132025826511120 133676149342509 136578441218400 137810463239700 143352438973200 146997827455680 147504716515872 148529054825010 153650746370700 158430991813344 163894129462080 165032283138900 176034435348160 178234865790012 183747284319600 184380895644840 191136585297600 198038739766680 204867661827600 220043044185200 220496741183520 222793582237515 230476119556050 237646487720016 244996379092800 245841194193120 247548424708350 264051653022240 267352298685018 273156882436800 275620926479400 286704877946400 295009433031744 297058109650020 307301492741400 316861983626688 330064566277800 356469731580024 367494568639200 368761791289680 371322637062525 396077479533360 409735323655200 440086088370400 440993482367040 445587164475030 460952239112100 475292975440032 491682388386240 495096849416700 528103306044480 534704597370036 551241852958800 573409755892800 594116219300040 614602985482800 660129132555600 668380746712545 712939463160048 734989137278400 737523582579360 742645274125050 792154959066720 819470647310400 880172176740800 891174328950060 921904478224200 950585950880064 990193698833400 1069409194740072 1102483705917600 1113967911187575 1188232438600080 1229205970965600 1320258265111200 1336761493425090 1425878926320096 1475047165158720 1485290548250100 1584309918133440 1782348657900120 1843808956448400 1980387397666800 2138818389480144 2204967411835200 2227935822375150 2376464877200160 2458411941931200 2640516530222400 2673522986850180 2851757852640192 2970581096500200 3341903733562725 3564697315800240 3687617912896800 3960774795333600 4277636778960288 4455871644750300 4752929754400320 5347045973700360 5941162193000400 6683807467125450 7129394631600480 7375235825793600 7921549590667200 8555273557920576 8911743289500600 10694091947400720 11882324386000800 13367614934250900 14258789263200960 17823486579001200 21388183894801440 23764648772001600 26735229868501800 35646973158002400 42776367789602880 53470459737003600 71293946316004800 106940919474007200 213881838948014400
- Sum of all divisors σ(n): 826143801385943040
- Sum of proper divisors (its aliquot sum) s(n): 612261962437928640
- 213881838948014400 is an abundant number, because the sum of its proper divisors (612261962437928640) is greater than itself. Its abundance is 398380123489914240
Bases of 213881838948014400
- Binary: 10111101111101110001100110001110100110011101011001010000002
- Hexadecimal: 0x2F7DC663A675940
- Base-36: 1MHYS8DG7O00
Squares and roots of 213881838948014400
- 213881838948014400 squared (2138818389480144002) is 45745441031784369543665702607360000
- 213881838948014400 cubed (2138818389480144003) is 9784119051365994210152881753540063985574825984000000
-
The
square root of 213881838948014400 is 462473608.9205679203 -
The
cube root of 213881838948014400 is 598032.2937076091
Scales and comparisons
How big is 213881838948014400?- 213,881,838,948,014,400 seconds is equal to 6,800,780,898 years, 30 weeks, 1 day, 12 hours.
-
To count from 1 to 213,881,838,948,014,400 would take you about twenty billion, four hundred two million, three hundred forty-two thousand, six hundred ninety-five 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 213881838948014400 cubic inches would be around 49836 feet tall.
Recreational maths with 213881838948014400
- 213881838948014400 backwards is 004410849838188312
- 213881838948014400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 213881838948014400's digits is 72
- More coming soon!
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"Number 213881838948014400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 213881838948014400 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/213881838948014400/
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The information we have on file for 213881838948014400 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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