13768031919936000
13,768,031,919,936,000 is an even composite number composed of six prime numbers multiplied together.
13768031919936000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13768031919936000:
29 × 3 × 53 × 73 × 192 × 7612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 761 × 761)See below for interesting mathematical facts about the number 13768031919936000 from the Numbermatics database.
Names of 13768031919936000
- Cardinal: 13768031919936000 can be written as Thirteen quadrillion, seven hundred sixty-eight trillion, thirty-one billion, nine hundred nineteen million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3768031919936 × 1016
Factors of 13768031919936000
Divisors of 13768031919936000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 125 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 250 256 266 280 285 294 300 304 320 336 343 350 361 375 380 384 392 399 400 420 448 456 475 480 490 500 512 525 532 560 570 588 600 608 640 665 672 686 700 722 735 750 760 761 768 784 798 800 840 875 896 912 931 950 960 980 1000 1029 1050 1064 1083 1120 1140 1176 1200 1216 1225 1280 1330 1344 1372 1400 1425 1444 1470 1500 1520 1522 1536 1568 1596 1600 1680 1715 1750 1792 1805 1824 1862 1900 1920 1960 1995 2000 2058 2100 2128 2166 2240 2280 2283 2352 2375 2400 2432 2450 2527 2560 2625 2660 2688 2744 2793 2800 2850 2888 2940 3000 3040 3044 3136 3192 3200 3325 3360 3430 3500 3584 3610 3648 3675 3724 3800 3805 3840 3920 3990 4000 4116 4200 4256 4332 4480 4560 4566 4655 4704 4750 4800 4864 4900 5054 5145 5250 5320 5327 5376 5415 5488 5586 5600 5700 5776 5880 6000 6080 6088 6125 6272 6384 6400 6517 6650 6720 6860 7000 7125 7220 7296 7350 7448 7581 7600 7610 7680 7840 7980 8000 8232 8400 8512 8575 8664 8960 9025 9120 9132 9310 9408 9500 9600 9728 9800 9975 10108 10290 10500 10640 10654 10752 10830 10976 11172 11200 11400 11415 11552 11760 12000 12160 12176 12250 12544 12635 12768 12800 13034 13300 13440 13720 13965 14000 14250 14440 14459 14592 14700 14896 15162 15200 15220 15680 15960 15981 16000 16464 16625 16800 17024 17150 17328 17689 17920 18050 18240 18264 18375 18620 18816 19000 19025 19200 19551 19600 19950 20216 20580 21000 21280 21308 21660 21952 22344 22400 22800 22830 23104 23275 23520 24000 24320 24352 24500 25088 25270 25536 25725 26068 26600 26635 26880 27075 27440 27930 28000 28500 28880 28918 29184 29400 29792 30324 30400 30440 31360 31920 31962 32000 32585 32928 33250 33600 34048 34300 34656 35378 36100 36480 36528 36750 37240 37289 37632 37905 38000 38050 38400 39102 39200 39900 40432 41160 42000 42560 42616 42875 43320 43377 43904 44688 44800 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1887065778500 1906929628800 1932355357184 1966861702848 2007001737600 2048814273800 2070380739840 2112633408000 2151254987490 2156646604000 2195158150500 2247841946112 2261503272000 2264478934200 2294671986656 2341502027200 2383662036000 2415444196480 2458577128560 2464738976000 2508752172000 2542572838400 2561017842250 2584575168000 2587975924800 2622482270464 2676002316800 2724185184000 2809802432640 2830598667750 2868339983320 2898533035776 2926877534000 2957686771200 3015337696000 3019305245600 3073221410700 3178216048000 3234969906000 3278102838080 3345002896000 3442007979984 3450634566400 3512253040800 3585424979150 3618405235200 3623166294720 3697108464000 3746403243520 3774131557000 3813859257600 3841526763375 3933723405696 4014003475200 4097628547600 4140761479680 4302509974980 4313293208000 4390316301000 4523006544000 4528957868400 4589343973312 4683004054400 4767324072000 4830888392960 4917154257120 4929477952000 5017504344000 5122035684500 5175951849600 5244964540928 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19668617028480 20070017376000 20488142738000 20703807398400 21512549874900 22644789342000 22946719866560 23415020272000 24154441964800 24585771285600 25879759248000 26224822704640 26890687343625 27536063839872 28098024326400 28683399833200 28985330357760 30193052456000 30732214107000 32781028380800 34420079799840 34506345664000 35122530408000 35854249791500 36231662947200 36714751786496 38138592576000 39337234056960 40140034752000 40976285476000 43025099749800 45289578684000 45893439733120 46830040544000 48308883929600 49171542571200 51759518496000 53781374687250 55072127679744 56196048652800 57366799666400 60386104912000 61464428214000 65562056761600 68840159599680 70245060816000 71708499583000 72463325894400 78674468113920 81952570952000 86050199499600 90579157368000 91786879466240 93660081088000 98343085142400 103519036992000 107562749374500 110144255359488 114733599332800 120772209824000 122928856428000 131124113523200 137680319199360 140490121632000 143416999166000 144926651788800 163905141904000 172100398999200 181158314736000 183573758932480 196686170284800 215125498749000 229467198665600 241544419648000 245857712856000 275360638398720 280980243264000 286833998332000 327810283808000 344200797998400 362316629472000 393372340569600 430250997498000 458934397331200 491715425712000 550721276797440 573667996664000 655620567616000 688401595996800 724633258944000 860501994996000 917868794662400 983430851424000 1147335993328000 1376803191993600 1721003989992000 1966861702848000 2294671986656000 2753606383987200 3442007979984000 4589343973312000 6884015959968000 13768031919936000
- Sum of all divisors σ(n): 56413827657158400
- Sum of proper divisors (its aliquot sum) s(n): 42645795737222400
- 13768031919936000 is an abundant number, because the sum of its proper divisors (42645795737222400) is greater than itself. Its abundance is 28877763817286400
Bases of 13768031919936000
- Binary: 1100001110100111110011101110111101100000010010000000002
- Hexadecimal: 0x30E9F3BBD81200
- Base-36: 3RKCYJP2VPC
Squares and roots of 13768031919936000
- 13768031919936000 squared (137680319199360002) is 189558702948376578314244096000000
- 13768031919936000 cubed (137680319199360003) is 2609850272894915085422196403387432697856000000000
-
The
square root of 13768031919936000 is 117337257.1689657317 -
The
cube root of 13768031919936000 is 239675.6725606723
Scales and comparisons
How big is 13768031919936000?- 13,768,031,919,936,000 seconds is equal to 437,780,827 years, 38 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,768,031,919,936,000 would take you about one billion, three hundred thirteen million, three hundred forty-two thousand, four hundred eighty-three 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 13768031919936000 cubic inches would be around 19973 feet tall.
Recreational maths with 13768031919936000
- 13768031919936000 backwards is 00063991913086731
- The number of decimal digits it has is: 17
- The sum of 13768031919936000's digits is 66
- More coming soon!
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"Number 13768031919936000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13768031919936000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13768031919936000/
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The information we have on file for 13768031919936000 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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