131067138048000
131,067,138,048,000 is an even composite number composed of six prime numbers multiplied together.
131067138048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 131067138048000:
215 × 3 × 53 × 73 × 112 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 257)See below for interesting mathematical facts about the number 131067138048000 from the Numbermatics database.
Names of 131067138048000
- Cardinal: 131067138048000 can be written as One hundred thirty-one trillion, sixty-seven billion, one hundred thirty-eight million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.31067138048 × 1014
Factors of 131067138048000
Divisors of 131067138048000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 121 125 128 132 140 147 150 154 160 165 168 175 176 192 196 200 210 220 224 231 240 242 245 250 256 257 264 275 280 294 300 308 320 330 336 343 350 352 363 375 384 385 392 400 420 440 448 462 480 484 490 500 512 514 525 528 539 550 560 588 600 605 616 640 660 672 686 700 704 726 735 750 768 770 771 784 800 825 840 847 875 880 896 924 960 968 980 1000 1024 1028 1029 1050 1056 1078 1100 1120 1155 1176 1200 1210 1225 1232 1280 1285 1320 1344 1372 1375 1400 1408 1452 1470 1500 1536 1540 1542 1568 1600 1617 1650 1680 1694 1715 1750 1760 1792 1799 1815 1848 1920 1925 1936 1960 2000 2048 2056 2058 2100 2112 2156 2200 2240 2310 2352 2400 2420 2450 2464 2541 2560 2570 2625 2640 2688 2695 2744 2750 2800 2816 2827 2904 2940 3000 3025 3072 3080 3084 3136 3200 3234 3300 3360 3388 3430 3500 3520 3584 3598 3630 3675 3696 3773 3840 3850 3855 3872 3920 4000 4096 4112 4116 4125 4200 4224 4235 4312 4400 4480 4620 4704 4800 4840 4900 4928 5082 5120 5140 5145 5250 5280 5376 5390 5397 5488 5500 5600 5632 5654 5775 5808 5880 5929 6000 6050 6125 6144 6160 6168 6272 6400 6425 6468 6600 6720 6776 6860 7000 7040 7168 7196 7260 7350 7392 7546 7680 7700 7710 7744 7840 8000 8085 8192 8224 8232 8250 8400 8448 8470 8481 8575 8624 8800 8960 8995 9075 9240 9408 9600 9625 9680 9800 9856 10164 10240 10280 10290 10500 10560 10752 10780 10794 10976 11000 11200 11264 11308 11319 11550 11616 11760 11858 12000 12100 12250 12288 12320 12336 12544 12593 12705 12800 12850 12936 13200 13440 13475 13552 13720 14000 14080 14135 14336 14392 14520 14700 14784 15092 15125 15360 15400 15420 15488 15680 16000 16170 16384 16448 16464 16500 16800 16896 16940 16962 17150 17248 17600 17787 17920 17990 18150 18375 18480 18816 18865 19200 19250 19275 19360 19600 19712 19789 20328 20480 20560 20580 21000 21120 21175 21504 21560 21588 21952 22000 22400 22528 22616 22638 23100 23232 23520 23716 24000 24200 24500 24576 24640 24672 25088 25186 25410 25600 25700 25725 25872 26400 26880 26950 26985 27104 27440 28000 28160 28270 28672 28784 28875 29040 29400 29568 29645 30184 30250 30720 30800 30840 30976 31097 31360 32000 32125 32340 32768 32896 32928 33000 33600 33792 33880 33924 34300 34496 35200 35574 35840 35980 36300 36750 36960 37632 37730 37779 38400 38500 38550 38720 39200 39424 39578 40425 40656 40960 41120 41160 41503 42000 42240 42350 42405 42875 43008 43120 43176 43904 44000 44800 44975 45056 45232 45276 45375 46200 46464 47040 47432 48000 48400 49000 49152 49280 49344 50176 50372 50820 51200 51400 51450 51744 52800 53760 53900 53970 54208 54880 56000 56320 56540 56595 57344 57568 57750 58080 58800 59136 59290 59367 60368 60500 61440 61600 61680 61952 62194 62720 62965 63525 64000 64250 64680 65792 65856 66000 67200 67375 67584 67760 67848 68600 68992 70400 70675 71148 71680 71960 72600 73500 73920 75264 75460 75558 76800 77000 77100 77440 78400 78848 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10699358208 10831994880 10922261504 11053056000 11145164800 11283328000 11347804160 11579392000 11590656000 11635932000 11702423040 11915194368 11941248000 12142592000 12158361600 12190024000 12411660800 12482584576 12737331200 12749721600 12799525200 12895232000 13298208000 13374197760 13539993600 13617364992 13652826880 13931456000 14184755200 14442659840 14571110400 14628028800 14893992960 15197952000 15284797440 15454208000 15474278400 15514576000 15603230720 15886925824 15921664000 15937152000 15999406500 16211148800 16383392256 16717747200 16924992000 16999628800 17021706240 17066033600 17369088000 17730944000 17832263680 18053324800 18213888000 18285036000 18617491200 18723876864 19105996800 19342848000 19504038400 19858657280 20263936000 20399554560 20479240320 20897184000 21249536000 21277132800 21332542000 21398716416 21663989760 21844523008 22106112000 22290329600 22566656000 22695608320 23181312000 23271864000 23404846080 23830388736 23882496000 24285184000 24316723200 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72213299200 72855552000 73140144000 74469964800 74895507456 76423987200 77371392000 78016153600 79434629120 81055744000 81916961280 83588736000 84998144000 85108531200 85330168000 87378092032 89161318400 90266624000 93087456000 93619384320 95321554944 95529984000 97520192000 99293286400 101997772800 102396201600 106385664000 106993582080 108319948800 109222615040 111451648000 113478041600 117024230400 119151943680 121583616000 124116608000 124825845760 127373312000 127497216000 127995252000 131067138048 133741977600 135399936000 136528268800 141847552000 146280288000 148939929600 149791014912 154742784000 156032307200 158869258240 163833922560 167177472000 169996288000 170217062400 170660336000 174756184064 178322636800 180533248000 186174912000 187238768640 191059968000 195040384000 198586572800 204792403200 212771328000 216639897600 218445230080 222903296000 234048460800 238303887360 243167232000 248233216000 249651691520 254994432000 255990504000 262134276096 267483955200 270799872000 273056537600 283695104000 292560576000 297879859200 312064614400 327667845120 334354944000 340434124800 341320672000 349512368128 361066496000 372349824000 374477537280 382119936000 390080768000 397173145600 409584806400 425542656000 436890460160 445806592000 468096921600 476607774720 496466432000 509988864000 511981008000 524268552192 534967910400 541599744000 546113075200 567390208000 585121152000 595759718400 624129228800 655335690240 668709888000 682641344000 744699648000 748955074560 780161536000 794346291200 819169612800 851085312000 873780920320 891613184000 936193843200 992932864000 1023962016000 1048537104384 1083199488000 1092226150400 1170242304000 1191519436800 1248258457600 1310671380480 1337419776000 1365282688000 1489399296000 1560323072000 1638339225600 1702170624000 1747561840640 1872387686400 1985865728000 2047924032000 2184452300800 2340484608000 2383038873600 2621342760960 2674839552000 2730565376000 2978798592000 3120646144000 3276678451200 3744775372800 3971731456000 4095848064000 4368904601600 4680969216000 5242685521920 5461130752000 5957597184000 6241292288000 6553356902400 8191696128000 8737809203200 9361938432000 10922261504000 11915194368000 13106713804800 16383392256000 18723876864000 21844523008000 26213427609600 32766784512000 43689046016000 65533569024000 131067138048000
- Sum of all divisors σ(n): 561292490304000
- Sum of proper divisors (its aliquot sum) s(n): 430225352256000
- 131067138048000 is an abundant number, because the sum of its proper divisors (430225352256000) is greater than itself. Its abundance is 299158214208000
Bases of 131067138048000
- Binary: 111011100110100011100100011010010000000000000002
- Hexadecimal: 0x773472348000
- Base-36: 1AGJETXUYO
Squares and roots of 131067138048000
- 131067138048000 squared (1310671380480002) is 17178594676093489250304000000
- 131067138048000 cubed (1310671380480003) is 2251549239882183200923598393966592000000000
-
The
square root of 131067138048000 is 11448455.7058146493 -
The
cube root of 131067138048000 is 50796.2055735333
Scales and comparisons
How big is 131067138048000?- 131,067,138,048,000 seconds is equal to 4,167,529 years, 29 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 131,067,138,048,000 would take you about ten million, four hundred eighteen thousand, eight hundred twenty-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 131067138048000 cubic inches would be around 4233 feet tall.
Recreational maths with 131067138048000
- 131067138048000 backwards is 000840831760131
- 131067138048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131067138048000's digits is 42
- More coming soon!
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"Number 131067138048000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 131067138048000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/131067138048000/
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The information we have on file for 131067138048000 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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