13982997784166400
13,982,997,784,166,400 is an even composite number composed of six prime numbers multiplied together.
13982997784166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13982997784166400:
217 × 3 × 52 × 112 × 337 × 34883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 337 × 34883)See below for interesting mathematical facts about the number 13982997784166400 from the Numbermatics database.
Names of 13982997784166400
- Cardinal: 13982997784166400 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, nine hundred ninety-seven billion, seven hundred eighty-four million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39829977841664 × 1016
Factors of 13982997784166400
Divisors of 13982997784166400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 128 132 150 160 165 176 192 200 220 240 242 256 264 275 300 320 330 337 352 363 384 400 440 480 484 512 528 550 600 605 640 660 674 704 726 768 800 825 880 960 968 1011 1024 1056 1100 1200 1210 1280 1320 1348 1408 1452 1536 1600 1650 1685 1760 1815 1920 1936 2022 2048 2112 2200 2400 2420 2560 2640 2696 2816 2904 3025 3072 3200 3300 3370 3520 3630 3707 3840 3872 4044 4096 4224 4400 4800 4840 5055 5120 5280 5392 5632 5808 6050 6144 6400 6600 6740 7040 7260 7414 7680 7744 8088 8192 8425 8448 8800 9075 9600 9680 10110 10240 10560 10784 11121 11264 11616 12100 12288 12800 13200 13480 14080 14520 14828 15360 15488 16176 16384 16850 16896 17600 18150 18535 19200 19360 20220 20480 21120 21568 22242 22528 23232 24200 24576 25275 25600 26400 26960 28160 29040 29656 30720 30976 32352 32768 33700 33792 34883 35200 36300 37070 38400 38720 40440 40777 40960 42240 43136 44484 45056 46464 48400 49152 50550 51200 52800 53920 55605 56320 58080 59312 61440 61952 64704 65536 67400 67584 69766 70400 72600 74140 76800 77440 80880 81554 81920 84480 86272 88968 90112 92675 92928 96800 98304 101100 102400 104649 105600 107840 111210 112640 116160 118624 122331 122880 123904 129408 131072 134800 135168 139532 140800 145200 148280 153600 154880 161760 163108 163840 168960 172544 174415 177936 180224 185350 185856 193600 196608 202200 203885 204800 209298 211200 215680 222420 225280 232320 237248 244662 245760 247808 258816 269600 270336 278025 279064 281600 290400 296560 307200 309760 323520 326216 327680 337920 345088 348830 355872 360448 370700 371712 383713 387200 393216 404400 407770 409600 418596 422400 431360 444840 450560 464640 474496 489324 491520 495616 517632 523245 539200 540672 556050 558128 563200 580800 593120 611655 614400 619520 647040 652432 655360 675840 690176 697660 711744 720896 741400 743424 767426 774400 808800 815540 819200 837192 844800 862720 872075 889680 901120 929280 948992 978648 983040 991232 1019425 1035264 1046490 1078400 1081344 1112100 1116256 1126400 1151139 1161600 1186240 1223310 1228800 1239040 1294080 1304864 1351680 1380352 1395320 1423488 1441792 1482800 1486848 1534852 1548800 1617600 1631080 1638400 1674384 1689600 1725440 1744150 1779360 1802240 1858560 1897984 1918565 1957296 1966080 1982464 2038850 2070528 2092980 2156800 2162688 2224200 2232512 2252800 2302278 2323200 2372480 2446620 2457600 2478080 2588160 2609728 2616225 2703360 2760704 2790640 2846976 2965600 2973696 3058275 3069704 3097600 3235200 3262160 3276800 3348768 3379200 3450880 3488300 3558720 3604480 3717120 3795968 3837130 3914592 3964928 4077700 4141056 4185960 4220843 4313600 4325376 4448400 4465024 4505600 4604556 4646400 4744960 4893240 4915200 4956160 5176320 5219456 5232450 5406720 5521408 5581280 5693952 5755695 5931200 5947392 6116550 6139408 6195200 6470400 6524320 6697536 6758400 6901760 6976600 7117440 7208960 7434240 7591936 7674260 7829184 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276070400 282133704 284697600 285761536 293889275 294691584 297369600 303677440 306970400 313167360 316563225 331284480 334045184 334876800 337667440 352667130 357201920 364412928 368364480 376178272 379596800 387933843 391459200 392922112 396492800 405200928 414105600 417556480 422084300 428642304 446502400 455516160 460455600 470222840 485883904 491152640 501067776 506501160 517245124 521945600 535802880 540267904 552140800 564267408 569395200 571523072 587778550 589383168 594739200 607354880 613940800 626334720 633126450 646556405 662568960 668090368 669753600 675334880 705334260 714403840 728825856 736728960 752356544 759193600 775867686 782918400 785844224 810401856 828211200 835112960 844168600 857284608 881667825 893004800 911032320 920911200 940445680 982305280 1002135552 1013002320 1034490248 1043891200 1071605760 1080535808 1104281600 1128534816 1138790400 1143046144 1175557100 1178766336 1189478400 1214709760 1227881600 1252669440 1266252900 1293112810 1336180736 1339507200 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6286753792 6465564050 6483214848 6680903680 6753348800 6858276864 7053342600 7112120455 7144038400 7288258560 7367289600 7523565440 7758676860 7858442240 8017084416 8104018560 8275921984 8351129600 8534544546 8572846080 8644286464 9028278528 9110323200 9404456800 9430130688 9698346075 9823052800 10021355520 10130023200 10344902480 10716057600 10805358080 11285348160 11379392728 11430461440 11787663360 12037704704 12147097600 12413882976 12526694400 12573507584 12931128100 12966429696 13361807360 13506697600 13716553728 14106685200 14224240910 14288076800 14734579200 15047130880 15517353720 15716884480 16034168832 16208037120 16551843968 16702259200 17069089092 17145692160 17288572928 18056557056 18220646400 18808913600 18860261376 19396692150 19646105600 20042711040 20260046400 20689804960 21336361365 21432115200 21610716160 22570696320 22758785456 22860922880 23575326720 24075409408 24827765952 25053388800 25147015168 25862256200 25932859392 26723614720 27013395200 28213370400 28448481820 28576153600 29469158400 30094261760 31034707440 31433768960 32416074240 33103687936 33404518400 34138178184 34291384320 34577145856 35560602275 36113114112 36441292800 37617827200 37720522752 38793384300 39292211200 40085422080 40520092800 41379609920 42672722730 42864230400 43221432320 45141392640 45517570912 47150653440 48150818816 49655531904 50106777600 50294030336 51724512400 51865718784 54026790400 56426740800 56896963640 57152307200 58938316800 60188523520 62069414880 62867537920 64832148480 66207375872 66809036800 68276356368 68582768640 69154291712 71121204550 72226228224 75235654400 75441045504 77586768600 78584422400 80170844160 81040185600 82759219840 85345445460 85728460800 86442864640 90282785280 91035141824 94301306880 96301637632 99311063808 100213555200 103449024800 103731437568 106681806825 108053580800 112853481600 113793927280 114304614400 117876633600 120377047040 124138829760 125735075840 129664296960 132414751744 133618073600 136552712736 138308583424 142242409100 144452456448 150471308800 150882091008 155173537200 157168844800 162080371200 165518439680 170690890920 171456921600 172885729280 180565570560 182070283648 188602613760 192603275264 198622127616 200427110400 206898049600 207462875136 213363613650 216107161600 225706963200 227587854560 235753267200 240754094080 248277659520 251470151680 259328593920 264829503488 273105425472 276617166848 284484818200 288904912896 300942617600 310347074400 314337689600 324160742400 331036879360 341381781840 342913843200 345771458560 361131141120 364140567296 377205227520 385206550528 397244255232 400854220800 413796099200 414925750272 426727227300 432214323200 451413926400 455175709120 471506534400 481508188160 496555319040 518657187840 529659006976 546210850944 553234333696 568969636400 577809825792 601885235200 620694148800 628675379200 648321484800 662073758720 682763563680 691542917120 722262282240 728281134592 754410455040 770413101056 794488510464 827592198400 829851500544 853454454600 864428646400 902827852800 910351418240 943013068800 963016376320 993110638080 1037314375680 1059318013952 1092421701888 1137939272800 1155619651584 1203770470400 1241388297600 1257350758400 1296642969600 1324147517440 1365527127360 1383085834240 1444524564480 1456562269184 1540826202112 1588977020928 1655184396800 1659703001088 1706908909200 1728857292800 1805655705600 1820702836480 1886026137600 1926032752640 1986221276160 2074628751360 2118636027904 2184843403776 2275878545600 2311239303168 2407540940800 2482776595200 2593285939200 2648295034880 2731054254720 2766171668480 2889049128960 2913124538368 3177954041856 3310368793600 3413817818400 3457714585600 3611311411200 3641405672960 3772052275200 3852065505280 3972442552320 4149257502720 4237272055808 4369686807552 4551757091200 4622478606336 4815081881600 4965553190400 5186571878400 5296590069760 5462108509440 5778098257920 5826249076736 6355908083712 6620737587200 6827635636800 6915429171200 7222622822400 7282811345920 7704131010560 7944885104640 8298515005440 8474544111616 8739373615104 9103514182400 9630163763200 9931106380800 10373143756800 10593180139520 10924217018880 11556196515840 11652498153472 12711816167424 13241475174400 13655271273600 13830858342400 14445245644800 14565622691840 15889770209280 16949088223232 17478747230208 18207028364800 19260327526400 19862212761600 20746287513600 21186360279040 21848434037760 23112393031680 23304996306944 25423632334848 26482950348800 27310542547200 28890491289600 29131245383680 31779540418560 34957494460416 36414056729600 38520655052800 39724425523200 41492575027200 42372720558080 43696868075520 46609992613888 50847264669696 52965900697600 54621085094400 57780982579200 58262490767360 63559080837120 69914988920832 72828113459200 79448851046400 84745441116160 87393736151040 93219985227776 105931801395200 109242170188800 115561965158400 116524981534720 127118161674240 139829977841664 145656226918400 158897702092800 174787472302080 186439970455552 211863602790400 218484340377600 233049963069440 254236323348480 279659955683328 291312453836800 317795404185600 349574944604160 423727205580800 436968680755200 466099926138880 559319911366656 582624907673600 635590808371200 699149889208320 873937361510400 932199852277760 1165249815347200 1271181616742400 1398299778416640 1747874723020800 2330499630694400 2796599556833280 3495749446041600 4660999261388800 6991498892083200 13982997784166400
- Sum of all divisors σ(n): 50974687201025952
- Sum of proper divisors (its aliquot sum) s(n): 36991689416859552
- 13982997784166400 is an abundant number, because the sum of its proper divisors (36991689416859552) is greater than itself. Its abundance is 23008691632693152
Bases of 13982997784166400
- Binary: 1100011010110101110110010111111101001000000000000000002
- Hexadecimal: 0x31AD765FD20000
- Base-36: 3TOK4I2DZPC
Squares and roots of 13982997784166400
- 13982997784166400 squared (139829977841664002) is 195524227032002452318542888960000
- 13982997784166400 cubed (139829977841664003) is 2734014833339338419230876086502443601362944000000
-
The
square root of 13982997784166400 is 118249726.3597950149 -
The
cube root of 13982997784166400 is 240916.6208018945
Scales and comparisons
How big is 13982997784166400?- 13,982,997,784,166,400 seconds is equal to 444,616,077 years, 14 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 13,982,997,784,166,400 would take you about one billion, three hundred thirty-three million, eight hundred forty-eight thousand, two hundred thirty-one 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 13982997784166400 cubic inches would be around 20076.4 feet tall.
Recreational maths with 13982997784166400
- 13982997784166400 backwards is 00466148779928931
- The number of decimal digits it has is: 17
- The sum of 13982997784166400's digits is 84
- More coming soon!
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The information we have on file for 13982997784166400 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!
Keywords: Divisors of 13982997784166400, math, Factors of 13982997784166400, curriculum, school, college, exams, university, Prime factorization of 13982997784166400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-two trillion, nine hundred ninety-seven billion, seven hundred eighty-four million, one hundred sixty-six thousand, four hundred.