13742342614164070400
13,742,342,614,164,070,400 is an even composite number composed of five prime numbers multiplied together.
13742342614164070400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13742342614164070400:
213 × 52 × 133 × 192 × 4393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 439 × 439 × 439)See below for interesting mathematical facts about the number 13742342614164070400 from the Numbermatics database.
Names of 13742342614164070400
- Cardinal: 13742342614164070400 can be written as Thirteen quintillion, seven hundred forty-two quadrillion, three hundred forty-two trillion, six hundred fourteen billion, one hundred sixty-four million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.37423426141640704 × 1019
Factors of 13742342614164070400
Divisors of 13742342614164070400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 128 130 152 160 169 190 200 208 247 256 260 304 320 325 338 361 380 400 416 439 475 494 512 520 608 640 650 676 722 760 800 832 845 878 950 988 1024 1040 1216 1235 1280 1300 1352 1444 1520 1600 1664 1690 1756 1805 1900 1976 2048 2080 2195 2197 2432 2470 2560 2600 2704 2888 3040 3200 3211 3328 3380 3512 3610 3800 3952 4096 4160 4225 4390 4394 4693 4864 4940 5120 5200 5408 5707 5776 6080 6175 6400 6422 6656 6760 7024 7220 7600 7904 8192 8320 8341 8450 8780 8788 9025 9386 9728 9880 10240 10400 10816 10975 10985 11414 11552 12160 12350 12800 12844 13312 13520 14048 14440 15200 15808 16055 16640 16682 16900 17560 17576 18050 18772 19456 19760 20480 20800 21632 21950 21970 22828 23104 23465 24320 24700 25600 25688 26624 27040 28096 28535 28880 30400 31616 32110 33280 33364 33800 35120 35152 36100 37544 38912 39520 40960 41600 41705 41743 43264 43900 43940 45656 46208 46930 48640 49400 51200 51376 53248 54080 54925 56192 57070 57760 60800 61009 63232 64220 66560 66728 67600 70240 70304 72200 74191 75088 77824 79040 80275 83200 83410 83486 86528 87800 87880 91312 92416 93860 97280 98800 102400 102752 106496 108160 108433 109850 112384 114140 115520 117325 121600 122018 126464 128440 133120 133456 135200 140480 140608 142675 144400 148382 150176 155648 158080 158479 160550 166400 166820 166972 173056 175600 175760 182624 184832 187720 192721 194560 197600 204800 205504 208525 208715 216320 216866 219700 224768 228280 231040 234650 243200 244036 252928 256880 266240 266912 270400 280960 281216 285350 288800 296764 300352 305045 316160 316958 321100 332800 333640 333944 346112 351200 351520 365248 369664 370955 375440 385442 389120 395200 411008 417050 417430 432640 433732 439400 449536 456560 462080 469300 486400 488072 505856 513760 532480 533824 540800 542165 561920 562432 570700 577600 593528 600704 610090 632320 633916 642200 665600 667280 667888 692224 702400 703040 730496 739328 741910 750880 770884 778240 790400 792395 793117 822016 834100 834860 865280 867464 878800 899072 913120 924160 938600 963605 964483 972800 976144 1011712 1027520 1043575 1067648 1081600 1084330 1123840 1124864 1141400 1155200 1187056 1201408 1220180 1264640 1267832 1284400 1331200 1334560 1335776 1384448 1404800 1406080 1409629 1460992 1478656 1483820 1501760 1525225 1541768 1580800 1584790 1586234 1644032 1668200 1669720 1730560 1734928 1757600 1798144 1826240 1848320 1854775 1877200 1927210 1928966 1945600 1952288 2023424 2055040 2060227 2087150 2135296 2163200 2168660 2247680 2249728 2282800 2310400 2374112 2402816 2440360 2505373 2529280 2535664 2568800 2662400 2669120 2671552 2710825 2809600 2812160 2819258 2921984 2957312 2967640 3003520 3050450 3083536 3161600 3169580 3172468 3288064 3336400 3339440 3461120 3469856 3515200 3596288 3652480 3661699 3696640 3709550 3754400 3854420 3857932 3891200 3904576 3961975 3965585 4110080 4120454 4174300 4270592 4326400 4337320 4495360 4499456 4565600 4620800 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82586193594736 85595407126528 86713965977600 86932835362880 88291160915425 91508247750400 92614620467200 95168577660416 96319205285888 97735140348800 97824192868480 101644545962752 102972834598400 103232741993420 106994258908160 108666044203600 112625535692800 113012685971744 117130557120512 118960722075520 120399006607360 122280241085600 125100979646464 126735796428800 127055682453440 129040927491775 133742823635200 134202564591446 139092536580608 141265857464680 146413196400640 148700902594400 150498758259200 156376224558080 156518708589568 158819603066800 164606552166400 164756535357440 165172387189472 171190814253056 173865670725760 176582321830850 183016495500800 185229240934400 190337155320832 195470280697600 195648385736960 203289091925504 205945669196800 206465483986840 213988517816320 217332088407200 225251071385600 226025371943488 237921444151040 240798013214720 244560482171200 250201959292928 254111364906880 258081854983550 267485647270400 268405129182892 278185073161216 282531714929360 292826392801280 297401805188800 300997516518400 312752449116160 313037417179136 317639206133600 329213104332800 329513070714880 330344774378944 335506411478615 347731341451520 353164643661700 366032991001600 380674310641664 390940561395200 391296771473920 406578183851008 411891338393600 412930967973680 427977035632640 434664176814400 452050743886976 475842888302080 481596026429440 489120964342400 508222729813760 516163709967100 534971294540800 536810258365784 556370146322432 565063429858720 585652785602560 594803610377600 601995033036800 625504898232320 626074834358272 635278412267200 660689548757888 671012822957230 695462682903040 706329287323400 732065982003200 761348621283328 781881122790400 782593542947840 813156367702016 823782676787200 825861935947360 855954071265280 869328353628800 904101487773952 951685776604160 978241928684800 1016445459627520 1032327419934200 1069942589081600 1073620516731568 1112740292644864 1130126859717440 1189607220755200 1203990066073600 1251009796464640 1252149668716544 1270556824534400 1321379097515776 1342025645914460 1390925365806080 1412658574646800 1464131964006400 1522697242566656 1563762245580800 1565187085895680 1626312735404032 1647565353574400 1651723871894720 1677532057393075 1738656707257600 1808202975547904 1903371553208320 1956483857369600 2032890919255040 2064654839868400 2139885178163200 2147241033463136 2225480585289728 2260253719434880 2379214441510400 2407980132147200 2541113649068800 2642758195031552 2684051291828920 2781850731612160 2825317149293600 2928263928012800 3127524491161600 3130374171791360 3252625470808064 3303447743789440 3355064114786150 3477313414515200 3616405951095808 3806743106416640 3912967714739200 4065781838510080 4129309679736800 4279770356326400 4294482066926272 4520507438869760 4758428883020800 5082227298137600 5285516390063104 5368102583657840 5563701463224320 5650634298587200 6255048982323200 6260748343582720 6606895487578880 6710128229572300 6954626829030400 7232811902191616 7613486212833280 7825935429478400 8131563677020160 8258619359473600 8588964133852544 9041014877739520 9516857766041600 10164454596275200 10571032780126208 10736205167315680 11127402926448640 11301268597174400 13213790975157760 13420256459144600 13909253658060800 14465623804383232 15651870858956800 16263127354040320 16517238718947200 17177928267705088 18082029755479040 19033715532083200 20328909192550400 21142065560252416 21472410334631360 22602537194348800 26427581950315520 26840512918289200 27818507316121600 28931247608766464 31303741717913600 33034477437894400 34355856535410176 36164059510958080 38067431064166400 40657818385100800 42284131120504832 42944820669262720 45205074388697600 52855163900631040 53681025836578400 55637014632243200 66068954875788800 68711713070820352 72328119021916160 81315636770201600 85889641338525440 90410148777395200 105710327801262080 107362051673156800 132137909751577600 137423426141640704 144656238043832320 171779282677050880 180820297554790400 211420655602524160 214724103346313600 264275819503155200 274846852283281408 343558565354101760 361640595109580800 429448206692627200 528551639006310400 549693704566562816 687117130708203520 723281190219161600 858896413385254400 1057103278012620800 1374234261416407040 1717792826770508800 2748468522832814080 3435585653541017600 6871171307082035200 13742342614164070400
- Sum of all divisors σ(n): 39051797466648859200
- Sum of proper divisors (its aliquot sum) s(n): 25309454852484788800
- 13742342614164070400 is an abundant number, because the sum of its proper divisors (25309454852484788800) is greater than itself. Its abundance is 11567112238320718400
Bases of 13742342614164070400
- Binary: 10111110101101101001101111001100001010101111011001100000000000002
- Hexadecimal: 0xBEB69BCC2AF66000
- Base-36: 2WEOLW2Z9MPKW
Squares and roots of 13742342614164070400
- 13742342614164070400 squared (137423426141640704002) is 188851980525069776295258970296156160000
- 13742342614164070400 cubed (137423426141640704003) is 2595268619738949502091324801891300655326680699633664000000
-
The
square root of 13742342614164070400 is 3707066578.0592706263 -
The
cube root of 13742342614164070400 is 2395265.1217010189
Scales and comparisons
How big is 13742342614164070400?- 13,742,342,614,164,070,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,342,614,164,070,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13742342614164070400 cubic inches would be around 199605.4 feet tall.
Recreational maths with 13742342614164070400
- 13742342614164070400 backwards is 00407046141624324731
- The number of decimal digits it has is: 20
- The sum of 13742342614164070400's digits is 59
- More coming soon!
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"Number 13742342614164070400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 13742342614164070400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13742342614164070400/
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The information we have on file for 13742342614164070400 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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