131397087980134932480
131,397,087,980,134,932,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131397087980134932480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
131397087980134932480 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 131397087980134932480:
213 × 32 × 5 × 7 × 192 × 139 × 1014759769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 19 × 139 × 1014759769)See below for interesting mathematical facts about the number 131397087980134932480 from the Numbermatics database.
Names of 131397087980134932480
- Cardinal: 131397087980134932480 can be written as One hundred thirty-one quintillion, three hundred ninety-seven quadrillion, eighty-seven trillion, nine hundred eighty billion, one hundred thirty-four million, nine hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3139708798013493248 × 1020
Factors of 131397087980134932480
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 21
- Sum of prime factors: 1014759944
Divisors of 131397087980134932480
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 105 112 114 120 126 128 133 139 140 144 152 160 168 171 180 190 192 210 224 228 240 252 256 266 278 280 285 288 304 315 320 336 342 360 361 380 384 399 417 420 448 456 480 504 512 532 556 560 570 576 608 630 640 665 672 684 695 720 722 760 768 798 834 840 855 896 912 960 973 1008 1024 1064 1083 1112 1120 1140 1152 1197 1216 1251 1260 1280 1330 1344 1368 1390 1440 1444 1520 1536 1596 1668 1680 1710 1792 1805 1824 1920 1946 1995 2016 2048 2085 2128 2166 2224 2240 2280 2304 2394 2432 2502 2520 2527 2560 2641 2660 2688 2736 2780 2880 2888 2919 3040 3072 3192 3249 3336 3360 3420 3584 3610 3648 3840 3892 3990 4032 4096 4170 4256 4332 4448 4480 4560 4608 4788 4864 4865 5004 5040 5054 5120 5282 5320 5376 5415 5472 5560 5760 5776 5838 5985 6080 6144 6255 6384 6498 6672 6720 6840 7168 7220 7296 7581 7680 7784 7923 7980 8064 8192 8340 8512 8664 8757 8896 8960 9120 9216 9576 9728 9730 10008 10080 10108 10240 10564 10640 10752 10830 10944 11120 11520 11552 11676 11970 12160 12288 12510 12635 12768 12996 13205 13344 13440 13680 14336 14440 14592 14595 15162 15360 15568 15846 15960 16128 16245 16680 17024 17328 17514 17792 17920 18240 18432 18487 19152 19456 19460 20016 20160 20216 20480 21128 21280 21504 21660 21888 22240 22743 23040 23104 23352 23769 23940 24320 24576 25020 25270 25536 25992 26410 26688 26880 27360 28672 28880 29184 29190 30324 30720 31136 31692 31920 32256 32490 33360 34048 34656 35028 35584 35840 36480 36864 36974 37905 38304 38912 38920 39615 40032 40320 40432 40960 42256 42560 43008 43320 43776 43785 44480 45486 46080 46208 46704 47538 47880 48640 50040 50179 50540 51072 51984 52820 53376 53760 54720 55461 57344 57760 58368 58380 60648 61440 62272 63384 63840 64512 64980 66720 68096 69312 70056 71168 71680 72960 73728 73948 75810 76608 77824 77840 79230 80064 80640 80864 84512 85120 86016 86640 87552 87570 88960 90972 92160 92416 92435 93408 95076 95760 97280 100080 100358 101080 102144 103968 105640 106752 107520 109440 110922 113715 115520 116736 116760 118845 121296 122880 124544 126768 127680 129024 129960 133440 136192 138624 140112 142336 143360 145920 147896 150537 151620 153216 155648 155680 158460 160128 161280 161728 166383 169024 170240 172032 173280 175104 175140 177920 181944 184320 184832 184870 186816 190152 191520 194560 200160 200716 202160 204288 207936 211280 213504 215040 218880 221844 227430 231040 233472 233520 237690 242592 249088 250895 253536 255360 258048 259920 266880 272384 277248 277305 280224 284672 286720 291840 295792 301074 303240 306432 311360 316920 320256 322560 323456 332766 338048 340480 346560 350208 350280 351253 355840 363888 368640 369664 369740 373632 380304 383040 389120 400320 401432 404320 408576 415872 422560 427008 430080 437760 443688 451611 454860 462080 466944 467040 475380 485184 498176 501790 507072 510720 516096 519840 533760 544768 554496 554610 560448 569344 583680 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12831746873060052 12999316183234560 13035425394854656 13129205433666560 13504325588914176 13507101971642160 13721500415636480 14257496525622280 14407575436418304 14664853569211488 14770356112874880 15004806209904640 15165868880440320 15436687967591040 15755046520399872 16039683591325065 16294281743568320 16465800498763776 16584259495157760 16880406986142720 17108995830746736 17332421577646080 18009469295522880 18199042656528384 18331066961514360 19210100581891072 19553138092281984 19693808150499840 20221158507253760 20582250623454720 21006728693866496 21386244788433420 21611363154627456 21954400665018368 22507209314856960 22748803320660480 22811994440995648 23632569780599808 24012625727363840 24265390208704512 24441422615352480 24698700748145664 24876389242736640 25663493746120104 25998632366469120 26070850789709312 26258410867333120 27008651177828352 27014203943284320 27443000831272960 28514993051244560 28815150872836608 29329707138422976 29540712225749760 30331737760880640 30873375935182080 31510093040799744 32079367182650130 32588563487136640 32931600997527552 33760813972285440 34217991661493472 36018938591045760 36398085313056768 36662133923028720 38420201163782144 39106276184563968 39387616300999680 40442317014507520 41164501246909440 42772489576866840 43222726309254912 45014418629713920 45497606641320960 45623988881991296 47265139561199616 48025251454727680 48882845230704960 49397401496291328 49752778485473280 51326987492240208 51997264732938240 52141701579418624 52516821734666240 54028407886568640 54886001662545920 57029986102489120 57630301745673216 58659414276845952 59081424451499520 60663475521761280 61746751870364160 63020186081599488 64158734365300260 65177126974273280 65863201995055104 67521627944570880 68435983322986944 72037877182091520 72796170626113536 73324267846057440 76840402327564288 78212552369127936 78775232601999360 82329002493818880 85544979153733680 86445452618509824 90995213282641920 91247977763982592 94530279122399232 96050502909455360 97765690461409920 98794802992582656 102653974984480416 104283403158837248 105033643469332480 108056815773137280 109772003325091840 114059972204978240 115260603491346432 117318828553691904 118162848902999040 121326951043522560 123493503740728320 128317468730600520 130354253948546560 135043255889141760 136871966645973888 144075754364183040 146648535692114880 153680804655128576 156425104738255872 157550465203998720 164658004987637760 171089958307467360 172890905237019648 181990426565283840 182495955527965184 189060558244798464 192101005818910720 195531380922819840 197589605985165312 205307949968960832 208566806317674496 216113631546274560 228119944409956480 230521206982692864 234637657107383808 236325697805998080 246987007481456640 256634937461201040 260708507897093120 273743933291947776 288151508728366080 293297071384229760 312850209476511744 315100930407997440 329316009975275520 342179916614934720 345781810474039296 363980853130567680 364991911055930368 384202011637821440 391062761845639680 410615899937921664 417133612635348992 432227263092549120 456239888819912960 461042413965385728 469275314214767616 472651395611996160 493974014962913280 513269874922402080 521417015794186240 547487866583895552 576303017456732160 586594142768459520 625700418953023488 684359833229869440 691563620948078592 729983822111860736 768404023275642880 782125523691279360 821231799875843328 864454526185098240 912479777639825920 938550628429535232 945302791223992320 987948029925826560 1026539749844804160 1042834031588372480 1094975733167791104 1152606034913464320 1173188285536919040 1251400837906046976 1368719666459738880 1383127241896157184 1459967644223721472 1564251047382558720 1642463599751686656 1728909052370196480 1824959555279651840 1877101256859070464 2053079499689608320 2085668063176744960 2189951466335582208 2305212069826928640 2346376571073838080 2737439332919477760 2919935288447442944 3128502094765117440 3284927199503373312 3457818104740392960 3649919110559303680 3754202513718140928 4106158999379216640 4379902932671164416 4692753142147676160 5474878665838955520 6257004189530234880 6569854399006746624 6915636209480785920 7299838221118607360 8212317998758433280 8759805865342328832 9385506284295352320 10949757331677911040 13139708798013493248 14599676442237214720 16424635997516866560 18771012568590704640 21899514663355822080 26279417596026986496 32849271995033733120 43799029326711644160 65698543990067466240 131397087980134932480
- Sum of all divisors σ(n): 553342813107102345600
- Sum of proper divisors (its aliquot sum) s(n): 421945725126967413120
- 131397087980134932480 is an abundant number, because the sum of its proper divisors (421945725126967413120) is greater than itself. Its abundance is 290548637146832480640
Bases of 131397087980134932480
- Binary: 11100011111100000000011101101011000101010001011000100100000000000002
- Hexadecimal: 0x71F803B58A8B12000
- Base-36: RQAKCBLG86PS0
Squares and roots of 131397087980134932480
- 131397087980134932480 squared (1313970879801349324802) is 17265194729659319950291857387574158950400
- 131397087980134932480 cubed (1313970879801349324803) is 2268596310887207614478024273428701079421324958643091668992000
-
The
square root of 131397087980134932480 is 11462856885.6169068233 -
The
cube root of 131397087980134932480 is 5083879.4840776105
Scales and comparisons
How big is 131397087980134932480?- 131,397,087,980,134,932,480 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,397,087,980,134,932,480 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 131397087980134932480 cubic inches would be around 423656.6 feet tall.
Recreational maths with 131397087980134932480
- 131397087980134932480 backwards is 084239431089780793131
- 131397087980134932480 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 131397087980134932480's digits is 90
- More coming soon!
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Cite this page
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"Number 131397087980134932480 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 131397087980134932480 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/131397087980134932480/
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Numbermatics. 2024. "Number 131397087980134932480 - Facts about the integer". https://numbermatics.com/n/131397087980134932480/
The information we have on file for 131397087980134932480 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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