13522412142607680
13,522,412,142,607,680 is an even composite number composed of seven prime numbers multiplied together.
13522412142607680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 13522412142607680:
26 × 34 × 5 × 13 × 263 × 3499 × 43609
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 263 × 3499 × 43609)See below for interesting mathematical facts about the number 13522412142607680 from the Numbermatics database.
Names of 13522412142607680
- Cardinal: 13522412142607680 can be written as Thirteen quadrillion, five hundred twenty-two trillion, four hundred twelve billion, one hundred forty-two million, six hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.352241214260768 × 1016
Factors of 13522412142607680
Divisors of 13522412142607680
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 180 192 195 208 216 234 240 260 263 270 288 312 320 324 351 360 390 405 416 432 468 480 520 526 540 576 585 624 648 702 720 780 789 810 832 864 936 960 1040 1052 1053 1080 1170 1248 1296 1315 1404 1440 1560 1578 1620 1728 1755 1872 2080 2104 2106 2160 2340 2367 2496 2592 2630 2808 2880 3120 3156 3240 3419 3499 3510 3744 3945 4160 4208 4212 4320 4680 4734 5184 5260 5265 5616 6240 6312 6480 6838 6998 7020 7101 7488 7890 8416 8424 8640 9360 9468 10257 10497 10520 10530 11232 11835 12480 12624 12960 13676 13996 14040 14202 15780 16832 16848 17095 17495 18720 18936 20514 20994 21040 21060 21303 22464 23670 25248 25920 27352 27992 28080 28404 30771 31491 31560 33696 34190 34990 35505 37440 37872 41028 41988 42080 42120 42606 43609 45487 47340 50496 51285 52485 54704 55984 56160 56808 61542 62982 63120 67392 68380 69980 71010 75744 82056 83976 84160 84240 85212 87218 90974 92313 94473 94680 102570 104970 106515 109408 111968 112320 113616 123084 125964 126240 130827 136461 136760 139960 142020 151488 153855 157455 164112 167952 168480 170424 174436 181948 184626 188946 189360 205140 209940 213030 218045 218816 223936 227232 227435 246168 251928 252480 261654 272922 273520 276939 279920 283419 284040 307710 314910 328224 335904 336960 340848 348872 363896 369252 377892 378720 392481 409383 410280 419880 426060 436090 454464 454870 461565 472365 492336 503856 523308 545844 547040 553878 559840 566838 566917 568080 615420 629820 654135 656448 671808 681696 682305 697744 727792 738504 755784 757440 784962 818766 820560 839760 852120 872180 909740 920237 923130 944730 984672 1007712 1046616 1091688 1094080 1107756 1119680 1133676 1133834 1136160 1177443 1228149 1230840 1259640 1308270 1363392 1364610 1384695 1395488 1417095 1455584 1477008 1511568 1569924 1637532 1641120 1679520 1700751 1704240 1744360 1819480 1840474 1846260 1889460 1962405 1969344 2015424 2046915 2093232 2183376 2215512 2267352 2267668 2272320 2354886 2456298 2461680 2519280 2616540 2729220 2760711 2769390 2790976 2834190 2834585 2911168 2954016 3023136 3139848 3275064 3282240 3359040 3401502 3408480 3488720 3532329 3638960 3680948 3684447 3692520 3778920 3924810 4093830 4186464 4366752 4431024 4534704 4535336 4601185 4709772 4912596 4923360 5038560 5102253 5233080 5458440 5521422 5538780 5668380 5669170 5887215 5908032 6046272 6140745 6279696 6550128 6803004 6816960 6977440 7064658 7277920 7361896 7368894 7385040 7557840 7849620 8187660 8282133 8372928 8503755 8733504 8862048 9069408 9070672 9202370 9419544 9825192 9846720 10077120 10204506 10466160 10916880 11042844 11077560 11336760 11338340 11469167 11774430 11963081 12281490 12559392 13100256 13606008 13803555 13954880 14129316 14555840 14723792 14737788 14770080 15115680 15306759 15699240 16375320 16564266 17007510 17661645 17724096 18138816 18141344 18404740 18422235 18839088 19650384 20409012 20932320 21833760 22085688 22155120 22673520 22676680 22938334 23548860 23926162 24562980 24846399 25118784 25511265 26200512 27212016 27607110 28258632 29447584 29475576 29540160 30231360 30613518 31398480 32750640 33128532 34015020 34407501 35323290 35889243 36282688 36809480 36844470 37678176 39300768 40818024 41410665 41864640 43667520 44171376 44310240 45347040 45353360 45876668 45920277 47097720 47852324 49125960 49692798 51022530 54424032 55214220 56517264 57345835 58895168 58951152 59815405 61227036 62796960 65501280 66257064 68030040 68815002 70646580 71778486 73618960 73688940 74539197 75356352 76533795 78601536 81636048 82821330 88342752 88620480 90694080 90706720 91753336 91840554 94195440 95704648 98251920 99385596 102045060 103222503 107667729 108848064 110428440 113034528 114691670 117902304 119630810 122454072 124231995 125593920 131002560 132514128 136060080 137630004 141293160 143556972 147237920 147377880 149078394 149099171 152587891 153067590 163272096 165642660 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41198730570 42940561248 43945312608 47607421992 47711734720 48308131404 48828125120 49438476684 49546801440 51680509920 53558349741 53675701560 54931640760 59456161728 59509277490 60385164255 61798095855 62016611904 63476562656 64410841872 65917968912 71411132988 71567602080 73242187680 74320202160 77520764880 79345703320 80261230666 80513552340 82397461140 85881122496 87890625216 89263916235 95214843984 96616262808 98876953368 99093602880 103361019840 107116699482 107351403120 109863281520 119018554980 120391845999 120770328510 123596191710 126953125312 128821683744 131835937824 142822265976 143135204160 146484375360 148640404320 155041529760 158691406640 160522461332 160675049223 161027104680 164794922280 178527832470 190429687968 193232525616 197753906736 200653076665 214233398964 214702806240 219726563040 238037109960 240783691998 241540657020 247192383420 257643367488 263671875648 267791748705 285644531952 297280808640 310083059520 317382813280 321044922664 321350098446 322054209360 329589844560 357055664940 361175537997 380859375936 386465051232 395507813472 401306153330 428466797928 429405612480 439453126080 476074219920 481567383996 483081314040 494384766840 521697999329 535583497410 571289063904 601959229995 634765626560 642089845328 642700196892 644108418720 659179689120 714111329880 722351075994 772930102464 791015626944 802612306660 803375246115 856933595856 952148439840 963134767992 966162628080 988769533680 1043395998658 1071166994820 1083526613991 1142578127808 1203918459990 1284179690656 1285400393784 1288216837440 1318359378240 1428222659760 1444702151988 1565093997987 1605224613320 1606750492230 1713867191712 1805877689985 1904296879680 1926269535984 1932325256160 1977539067360 2086791997316 2142333989640 2167053227982 2407836919980 2568359381312 2570800787568 2608489996645 2856445319520 2889404303976 3130187995974 3210449226640 3213500984460 3250579841973 3427734383424 3611755379970 3852539071968 3864650512320 3955078134720 4173583994632 4284667979280 4334106455964 4695281993961 4815673839960 5141601575136 5216979993290 5417633069955 5712890639040 5778808607952 6260375991948 6420898453280 6427001968920 6501159683946 7223510759940 7705078143936 7825469989935 8347167989264 8569335958560 8668212911928 9390563987922 9631347679920 10283203150272 10433959986580 10835266139910 11557617215904 12520751983896 12841796906560 12854003937840 13002319367892 14085845981883 14447021519880 15650939979870 16252899209865 16694335978528 17138671917120 17336425823856 18781127975844 19262695359840 20867919973160 21670532279820 23115234431808 23476409969805 25041503967792 25708007875680 26004638735784 28171691963766 28894043039760 31301879959740 32505798419730 33388671957056 34672851647712 37562255951688 38525390719680 41735839946320 42257537945649 43341064559640 46952819939610 50083007935584 51416015751360 52009277471568 56343383927532 57788086079520 62603759919480 65011596839460 69345703295424 70429229909415 75124511903376 83471679892640 84515075891298 86682129119280 93905639879220 100166015871168 104018554943136 112686767855064 115576172159040 125207519838960 130023193678920 140858459818830 150249023806752 166943359785280 169030151782596 173364258238560 187811279758440 208037109886272 211287689728245 225373535710128 250415039677920 260046387357840 281716919637660 300498047613504 338060303565192 346728516477120 375622559516880 422575379456490 450747071420256 500830079355840 520092774715680 563433839275320 676120607130384 751245119033760 845150758912980 901494142840512 1040185549431360 1126867678550640 1352241214260768 1502490238067520 1690301517825960 2253735357101280 2704482428521536 3380603035651920 4507470714202560 6761206071303840 13522412142607680
- Sum of all divisors σ(n): 52014740389920000
- Sum of proper divisors (its aliquot sum) s(n): 38492328247312320
- 13522412142607680 is an abundant number, because the sum of its proper divisors (38492328247312320) is greater than itself. Its abundance is 24969916104704640
Bases of 13522412142607680
- Binary: 1100000000101010001111111011000100010000111101010000002
- Hexadecimal: 0x300A8FEC443D40
- Base-36: 3P5AMDNDG00
Squares and roots of 13522412142607680
- 13522412142607680 squared (135224121426076802) is 182855630154543626985270394982400
- 13522412142607680 cubed (135224121426076803) is 2472649193545979787346652315509550749923704832000
-
The
square root of 13522412142607680 is 116285906.8959247529 -
The
cube root of 13522412142607680 is 238241.8518286961
Scales and comparisons
How big is 13522412142607680?- 13,522,412,142,607,680 seconds is equal to 429,970,878 years, 29 weeks, 3 days, 16 hours, 48 minutes.
-
To count from 1 to 13,522,412,142,607,680 would take you about one billion, two hundred eighty-nine million, nine hundred twelve thousand, six hundred thirty-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 13522412142607680 cubic inches would be around 19853.5 feet tall.
Recreational maths with 13522412142607680
- 13522412142607680 backwards is 08670624121422531
- 13522412142607680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13522412142607680's digits is 54
- More coming soon!
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"Number 13522412142607680 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 13522412142607680 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/13522412142607680/
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The information we have on file for 13522412142607680 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 13522412142607680, math, Factors of 13522412142607680, curriculum, school, college, exams, university, Prime factorization of 13522412142607680, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, five hundred twenty-two trillion, four hundred twelve billion, one hundred forty-two million, six hundred seven thousand, six hundred eighty.