131470661424960
131,470,661,424,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 131470661424960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
131470661424960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 131470661424960:
26 × 33 × 5 × 11 × 132 × 28612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 2861 × 2861)See below for interesting mathematical facts about the number 131470661424960 from the Numbermatics database.
Names of 131470661424960
- Cardinal: 131470661424960 can be written as One hundred thirty-one trillion, four hundred seventy billion, six hundred sixty-one million, four hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3147066142496 × 1014
Factors of 131470661424960
Divisors of 131470661424960
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 72 78 80 88 90 96 99 104 108 110 117 120 130 132 135 143 144 156 160 165 169 176 180 192 195 198 208 216 220 234 240 260 264 270 286 288 297 312 320 330 338 351 352 360 390 396 416 429 432 440 468 480 495 507 520 528 540 572 576 585 594 624 660 676 702 704 715 720 780 792 832 845 858 864 880 936 960 990 1014 1040 1056 1080 1144 1170 1188 1248 1287 1320 1352 1404 1430 1440 1485 1521 1560 1584 1690 1716 1728 1755 1760 1859 1872 1980 2028 2080 2112 2145 2160 2288 2340 2376 2496 2535 2574 2640 2704 2808 2860 2861 2880 2970 3042 3120 3168 3380 3432 3510 3520 3718 3744 3861 3960 4056 4160 4290 4320 4563 4576 4680 4752 5070 5148 5280 5408 5577 5616 5720 5722 5940 6084 6240 6336 6435 6760 6864 7020 7436 7488 7605 7722 7920 8112 8580 8583 8640 9126 9152 9295 9360 9504 10140 10296 10560 10816 11154 11232 11440 11444 11880 12168 12480 12870 13520 13728 14040 14305 14872 15210 15444 15840 16224 16731 17160 17166 18252 18590 18720 19008 19305 20280 20592 22308 22464 22815 22880 22888 23760 24336 25740 25749 27040 27456 27885 28080 28610 29744 30420 30888 31471 31680 32448 33462 34320 34332 36504 37180 37193 37440 38610 40560 41184 42915 44616 45630 45760 45776 47520 48672 50193 51480 51498 54080 55770 56160 57220 59488 60840 61776 62942 66924 68640 68664 73008 74360 74386 77220 77247 81120 82368 83655 85830 89232 91260 91552 94413 95040 97344 100386 102960 102996 111540 111579 112320 114440 118976 121680 123552 125884 128745 133848 137280 137328 146016 148720 148772 154440 154494 157355 162240 167310 171660 178464 182520 183104 185965 188826 200772 205920 205992 223080 223158 228880 243360 247104 250965 251768 257490 267696 274656 283239 292032 297440 297544 308880 308988 314710 334620 334737 343320 356928 365040 371930 377652 386235 401544 409123 411840 411984 446160 446316 457760 472065 483509 486720 501930 503536 514980 535392 549312 557895 566478 594880 595088 617760 617976 629420 669240 669474 686640 730080 743860 755304 772470 803088 818246 823968 849717 892320 892632 915520 944130 967018 1003860 1004211 1007072 1029960 1070784 1115790 1132956 1190176 1227369 1235520 1235952 1258840 1338480 1338948 1373280 1416195 1450527 1460160 1487720 1510608 1544940 1606176 1636492 1647936 1673685 1699434 1784640 1785264 1888260 1934036 2007720 2008422 2014144 2045615 2059920 2231580 2265912 2380352 2417545 2454738 2471904 2517680 2676960 2677896 2746560 2832390 2901054 2975440 3021216 3089880 3212352 3272984 3347370 3398868 3570528 3682107 3776520 3868072 4015440 4016844 4091230 4119840 4248585 4351581 4463160 4531824 4835090 4909476 4943808 5021055 5035360 5318599 5353920 5355792 5664780 5802108 5950880 6042432 6136845 6179760 6545968 6694740 6797736 7141056 7252635 7364214 7553040 7736144 8030880 8033688 8182460 8185321 8239680 8497170 8703162 8926320 9063648 9670180 9818952 10042110 10070720 10637198 10711584 11046321 11329560 11604216 11901760 12273690 12359520 13054743 13091936 13389480 13595472 14505270 14728428 15106080 15472288 15955797 16061760 16067376 16364920 16370642 16994340 17406324 17852640 18127296 18410535 19340360 19637904 20084220 21274396 21423168 21757905 22092642 22659120 23208432 24547380 24555963 24719040 26109486 26183872 26592995 26778960 27190944 29010540 29456856 30212160 30944576 31911594 32134752 32729840 32741284 33988680 34812648 35705280 36821070 38680720 39275808 40168440 40926605 42548792 43515810 44185284 45318240 46416864 47867391 49094760 49111926 52218972 53185990 53557920 54381888 55231605 58021080 58913712 63823188 64269504 65273715 65459680 65482568 67977360 69625296 73642140 73667889 77361440 78551616 79778985 80336880 81853210 85097584 87031620 88370568 90038531 90636480 92833728 95734782 98189520 98223852 104437944 106371980 106409173 107115840 110463210 116042160 117827424 122779815 127646376 130547430 130919360 130965136 135954720 139250592 143602173 147284280 147335778 154722880 159557970 160673760 163706420 170195168 174063240 176741136 180077062 191469564 196379040 196447704 208875888 212743960 212818346 220926420 221003667 232084320 235654848 239336955 245559630 255292752 261094860 261930272 270115593 271909440 278501184 287204346 294568560 294671556 319115940 319227519 321347520 327412840 340390336 348126480 353482272 360154124 368339445 382939128 392758080 392895408 417751776 425487920 425636692 441852840 442007334 450192655 464168640 478673910 491119260 510585504 522189720 523860544 532045865 540231186 574408692 589137120 589343112 638231880 638455038 654825680 696252960 706964544 718010865 720308248 736678890 765878256 785790816 810346779 835503552 850975840 851273384 883705680 884014668 900385310 957347820 957682557 982238520 1021171008 1044379440 1064091730 1080462372 1105018335 1148817384 1170500903 1178274240 1178686224 1276463760 1276910076 1309651360 1350577965 1383319249 1392505920 1436021730 1440616496 1473357780 1531756512 1571581632 1596137595 1620693558 1701951680 1702546768 1767411360 1768029336 1800770620 1914695640 1915365114 1964477040 2088758880 2128183460 2160924744 2210036670 2297634768 2341001806 2357372448 2431040337 2552927520 2553820152 2619302720 2701155930 2766638498 2872043460 2873047671 2881232992 2946715560 3063513024 3192275190 3241387116 3405093536 3511502709 3534822720 3536058672 3601541240 3829391280 3830730228 3928954080 4051733895 4149957747 4177517760 4256366920 4321849488 4420073340 4595269536 4682003612 4714744896 4788412785 4862080674 5105855040 5107640304 5402311860 5533276996 5744086920 5746095342 5762465984 5852504515 5893431120 6384550380 6482774232 6810187072 6916596245 7023005418 7072117344 7203082480 7658782560 7661460456 7857908160 8103467790 8299915494 8512733840 8643698976 8840146680 9190539072 9364007224 9576825570 9724161348 10215280608 10534508127 10804623720 11066553992 11488173840 11492190684 11705009030 11786862240 12155201685 12449873241 12769100760 12965548464 13833192490 14046010836 14144234688 14365238355 14406164960 15216511739 15317565120 15322920912 16206935580 16599830988 17025467680 17287397952 17557513545 17680293360 18728014448 19153651140 19448322696 20430561216 20749788735 21069016254 21609247440 22133107984 22976347680 22984381368 23410018060 23573724480 24310403370 24899746482 25538201520 25931096928 27666384980 28092021672 28730476710 28812329920 30433023478 30645841824 31603524381 32413871160 33199661976 34050935360 35115027090 35360586720 37349619723 37456028896 38307302280 38896645392 41499577470 42138032508 43218494880 44266215968 45649535217 45952695360 45968762736 46820036120 48620806740 49799492964 51076403040 51862193856 52672540635 55332769960 56184043344 57460953420 60866046956 61291683648 62249366205 63207048762 64827742320 66399323952 70230054180 70721173440 74699239446 74912057792 76082558695 76614604560 77793290784 82999154940 84276065016 86436989760 88532431936 91299070434 91937525472 93640072240 97241613480 99598985928 102152806080 105345081270 110665539920 112368086688 114921906840 121732093912 124498732410 126414097524 129655484640 132798647904 136948605651 140460108360 149398478892 152165117390 153229209120 155586581568 158017621905 165998309880 168552130032 182598140868 183875050944 186748098615 187280144480 194483226960 199197971856 210690162540 221331079840 224736173376 228247676085 229843813680 243464187824 248997464820 252828195048 259310969280 265597295808 273897211302 280920216720 298796957784 304330234780 306458418240 316035243810 331996619760 337104260064 365196281736 373496197230 374560288960 388966453920 398395943712 410845816953 421380325080 442662159680 456495352170 459687627360 486928375648 497994929640 505656390096 547794422604 561840433440 597593915568 608660469560 632070487620 663993239520 674208520128 684743028255 730392563472 746992394460 777932907840 796791887424 821691633906 842760650160 912990704340 919375254720 973856751296 995989859280 1011312780192 1095588845208 1123680866880 1195187831136 1217320939120 1264140975240 1327986479040 1369486056510 1460785126944 1493984788920 1643383267812 1685521300320 1825981408680 1991979718560 2022625560384 2054229084765 2191177690416 2390375662272 2434641878240 2528281950480 2738972113020 2921570253888 2987969577840 3286766535624 3371042600640 3651962817360 3983959437120 4108458169530 4382355380832 4869283756480 5056563900960 5477944226040 5975939155680 6573533071248 7303925634720 8216916339060 8764710761664 10113127801920 10955888452080 11951878311360 13147066142496 14607851269440 16433832678120 21911776904160 26294132284992 32867665356240 43823553808320 65735330712480 131470661424960
- Sum of all divisors σ(n): 548068495976640
- Sum of proper divisors (its aliquot sum) s(n): 416597834551680
- 131470661424960 is an abundant number, because the sum of its proper divisors (416597834551680) is greater than itself. Its abundance is 285127173126720
Bases of 131470661424960
- Binary: 111011110010010011001100001001010010111010000002
- Hexadecimal: 0x779266129740
- Base-36: 1ALOSDC9C0
Squares and roots of 131470661424960
- 131470661424960 squared (1314706614249602) is 17284534815516465377711001600
- 131470661424960 cubed (1314706614249603) is 2272409224618698674793157174236124839936000
-
The
square root of 131470661424960 is 11466065.6471590115 -
The
cube root of 131470661424960 is 50848.2818276929
Scales and comparisons
How big is 131470661424960?- 131,470,661,424,960 seconds is equal to 4,180,360 years, 19 weeks, 21 hours, 36 minutes.
-
To count from 1 to 131,470,661,424,960 would take you about ten million, four hundred fifty thousand, nine hundred 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 131470661424960 cubic inches would be around 4237.4 feet tall.
Recreational maths with 131470661424960
- 131470661424960 backwards is 069424166074131
- 131470661424960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131470661424960's digits is 54
- More coming soon!
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The information we have on file for 131470661424960 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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