126713965327134192000
126,713,965,327,134,192,000 is an even composite number composed of seven prime numbers multiplied together.
126713965327134192000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 126713965327134192000:
27 × 33 × 53 × 7 × 19 × 31 × 71142217847
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 31 × 71142217847)See below for interesting mathematical facts about the number 126713965327134192000 from the Numbermatics database.
Names of 126713965327134192000
- Cardinal: 126713965327134192000 can be written as One hundred twenty-six quintillion, seven hundred thirteen quadrillion, nine hundred sixty-five trillion, three hundred twenty-seven billion, one hundred thirty-four million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.26713965327134192 × 1020
Factors of 126713965327134192000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 71142217914
Divisors of 126713965327134192000
- Number of divisors d(n): 2048
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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 25 27 28 30 31 32 35 36 38 40 42 45 48 50 54 56 57 60 62 63 64 70 72 75 76 80 84 90 93 95 96 100 105 108 112 114 120 124 125 126 128 133 135 140 144 150 152 155 160 168 171 175 180 186 189 190 192 200 210 216 217 224 225 228 240 248 250 252 266 270 279 280 285 288 300 304 310 315 320 336 342 350 360 372 375 378 380 384 399 400 420 432 434 448 450 456 465 475 480 496 500 504 513 525 532 540 558 560 570 576 589 600 608 620 630 640 651 665 672 675 684 700 720 744 750 756 760 775 798 800 837 840 855 864 868 875 896 900 912 930 945 950 960 992 1000 1008 1026 1050 1064 1080 1085 1116 1120 1125 1140 1152 1178 1197 1200 1216 1240 1260 1302 1330 1344 1350 1368 1395 1400 1425 1440 1488 1500 1512 1520 1550 1575 1596 1600 1674 1680 1710 1728 1736 1750 1767 1800 1824 1860 1890 1900 1920 1953 1984 1995 2000 2016 2052 2100 2128 2160 2170 2232 2240 2250 2280 2325 2356 2375 2394 2400 2432 2480 2520 2565 2604 2625 2660 2688 2700 2736 2790 2800 2850 2880 2945 2976 3000 3024 3040 3100 3150 3192 3200 3255 3325 3348 3360 3375 3420 3456 3472 3500 3534 3591 3600 3648 3720 3780 3800 3875 3906 3968 3990 4000 4032 4104 4123 4185 4200 4256 4275 4320 4340 4464 4480 4500 4560 4650 4712 4725 4750 4788 4800 4960 5040 5130 5208 5250 5301 5320 5400 5425 5472 5580 5600 5700 5760 5859 5890 5952 5985 6000 6048 6080 6200 6300 6384 6510 6650 6696 6720 6750 6840 6944 6975 7000 7068 7125 7182 7200 7296 7440 7560 7600 7750 7812 7875 7980 8000 8064 8208 8246 8370 8400 8512 8550 8640 8680 8835 8928 9000 9120 9300 9424 9450 9500 9576 9600 9765 9920 9975 10080 10260 10416 10500 10602 10640 10800 10850 10944 11160 11200 11400 11625 11718 11780 11904 11970 12000 12096 12160 12369 12400 12600 12768 12825 13020 13300 13392 13440 13500 13680 13888 13950 14000 14136 14250 14364 14400 14725 14880 15120 15200 15500 15624 15750 15903 15960 16000 16275 16416 16492 16625 16740 16800 17024 17100 17280 17360 17670 17856 17955 18000 18240 18600 18848 18900 19000 19152 19530 19840 19950 20160 20520 20615 20832 20925 21000 21204 21280 21375 21600 21700 21888 22320 22400 22800 23250 23436 23560 23625 23940 24000 24192 24738 24800 25200 25536 25650 26040 26505 26600 26784 27000 27125 27360 27776 27900 28000 28272 28500 28728 28800 29295 29450 29760 29925 30240 30400 31000 31248 31500 31806 31920 32550 32832 32984 33250 33480 33600 34200 34720 34875 35340 35712 35910 36000 36480 37107 37200 37696 37800 38000 38304 39060 39900 40320 41040 41230 41664 41850 42000 42408 42560 42750 43200 43400 44175 44640 45600 46500 46872 47120 47250 47880 48000 48825 49476 49600 49875 50400 51072 51300 52080 53010 53200 53568 54000 54250 54720 55800 56000 56544 57000 57456 58590 58900 59520 59850 60480 60800 61845 62000 62496 63000 63612 63840 64125 65100 65664 65968 66500 66960 67200 68400 69440 69750 70680 71820 72000 73625 74214 74400 75392 75600 76000 76608 78120 79515 79800 81375 82080 82460 83328 83700 84000 84816 85120 85500 86400 86800 88350 89280 89775 91200 93000 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79394715117252000 80453311318815360 81750945372344640 83364450873114600 83805532623766000 84475976884756128 85157234762859000 87995809254954300 88922080931322240 90509975233667280 90834383747049600 92627167636794000 93862196538617920 94281224201736750 95273658140702400 97322554014696000 100566639148519200 102188681715430800 104205563591393250 105594971105945160 105859620156336000 107567033384664000 109994761568692875 111152601164152800 112634635846341504 113137469042084100 113542979683812000 116787064817635200 117327745673272400 119092072675878000 120679966978223040 123502890182392000 125708298935649000 126713965327134192 127735852144288500 131993713882431450 133383121396983360 134088852198025600 136251575620574400 138940751455191000 140793294807926880 141421836302605125 144815960373867648 145983831022044000 146659682091590500 148203468218870400 150849958722778800 151390639578416000 158392456658917740 158789430234504000 163501890744689280 166728901746229200 167611065247532000 168951953769512256 170314469525718000 175991618509908600 181019950467334560 185254335273588000 187724393077235840 188562448403473500 190547316281404800 194645108029392000 197990570823647175 201133278297038400 204377363430861600 208411127182786500 211189942211890320 215134066769328000 219989523137385750 222305202328305600 226274938084168200 227085959367624000 234655491346544800 238184145351756000 241359933956446080 247005780364784000 251416597871298000 253427930654268384 255471704288577000 263987427764862900 266766242793966720 272503151241148800 277881502910382000 281586589615853760 282843672605210250 291967662044088000 293319364183181000 301699917445557600 316784913317835480 317578860469008000 329984284706078625 333457803492458400 335222130495064000 337903907539024512 340628939051436000 351983237019817200 362039900934669120 370508670547176000 377124896806947000 395981141647294350 402266556594076800 408754726861723200 416822254365573000 422379884423780640 439979046274771500 444610404656611200 452549876168336400 454171918735248000 469310982693089600 476368290703512000 502833195742596000 506855861308536768 510943408577154000 527974855529725800 555763005820764000 563173179231707520 565687345210420500 583935324088176000 586638728366362000 603399834891115200 633569826635670960 659968569412157250 666915606984916800 670444260990128000 681257878102872000 703966474039634400 724079801869338240 741017341094352000 754249793613894000 791962283294588700 817509453723446400 833644508731146000 844759768847561280 879958092549543000 905099752336672800 938621965386179200 952736581407024000 989952854118235875 1005666391485192000 1013711722617073536 1021886817154308000 1055949711059451600 1111526011641528000 1131374690420841000 1173277456732724000 1206799669782230400 1267139653271341920 1319937138824314500 1333831213969833600 1362515756205744000 1407932948079268800 1508499587227788000 1583924566589177400 1667289017462292000 1689519537695122560 1759916185099086000 1810199504673345600 1979905708236471750 2011332782970384000 2043773634308616000 2111899422118903200 2223052023283056000 2262749380841682000 2346554913465448000 2534279306542683840 2639874277648629000 2815865896158537600 3016999174455576000 3167849133178354800 3334578034924584000 3519832370198172000 3620399009346691200 3959811416472943500 4087547268617232000 4223798844237806400 4525498761683364000 4693109826930896000 5068558613085367680 5279748555297258000 6033998348911152000 6335698266356709600 6669156069849168000 7039664740396344000 7919622832945887000 8447597688475612800 9050997523366728000 10559497110594516000 12671396532713419200 14079329480792688000 15839245665891774000 18101995046733456000 21118994221189032000 25342793065426838400 31678491331783548000 42237988442378064000 63356982663567096000 126713965327134192000
- Sum of all divisors σ(n): 579591664843456512000
- Sum of proper divisors (its aliquot sum) s(n): 452877699516322320000
- 126713965327134192000 is an abundant number, because the sum of its proper divisors (452877699516322320000) is greater than itself. Its abundance is 326163734189188128000
Bases of 126713965327134192000
- Binary: 11011011110100000100111000000011011000011001111111101110001100000002
- Hexadecimal: 0x6DE82701B0CFF7180
- Base-36: QQPOFW31B9EO0
Squares and roots of 126713965327134192000
- 126713965327134192000 squared (1267139653271341920002) is 16056429008926166217799339575492864000000
- 126713965327134192000 cubed (1267139653271341920003) is 2034573788714661843946830065309600596808241066405888000000000
-
The
square root of 126713965327134192000 is 11256729779.4312443911 -
The
cube root of 126713965327134192000 is 5022749.2087511175
Scales and comparisons
How big is 126713965327134192000?- 126,713,965,327,134,192,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 126,713,965,327,134,192,000 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 126713965327134192000 cubic inches would be around 418562.4 feet tall.
Recreational maths with 126713965327134192000
- 126713965327134192000 backwards is 000291431723569317621
- 126713965327134192000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 126713965327134192000's digits is 72
- More coming soon!
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"Number 126713965327134192000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 126713965327134192000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/126713965327134192000/
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The information we have on file for 126713965327134192000 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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