134012634721681408000
134,012,634,721,681,408,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 134012634721681408000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2496 divisors.
134012634721681408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 134012634721681408000:
238 × 53 × 7 × 11 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 37 × 37 × 37)See below for interesting mathematical facts about the number 134012634721681408000 from the Numbermatics database.
Names of 134012634721681408000
- Cardinal: 134012634721681408000 can be written as One hundred thirty-four quintillion, twelve quadrillion, six hundred thirty-four trillion, seven hundred twenty-one billion, six hundred eighty-one million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.34012634721681408 × 1020
Factors of 134012634721681408000
Divisors of 134012634721681408000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 50 55 56 64 70 74 77 80 88 100 110 112 125 128 140 148 154 160 175 176 185 200 220 224 250 256 259 275 280 296 308 320 350 352 370 385 400 407 440 448 500 512 518 550 560 592 616 640 700 704 740 770 800 814 875 880 896 925 1000 1024 1036 1100 1120 1184 1232 1280 1295 1369 1375 1400 1408 1480 1540 1600 1628 1750 1760 1792 1850 1925 2000 2035 2048 2072 2200 2240 2368 2464 2560 2590 2738 2750 2800 2816 2849 2960 3080 3200 3256 3500 3520 3584 3700 3850 4000 4070 4096 4144 4400 4480 4625 4736 4928 5120 5180 5476 5500 5600 5632 5698 5920 6160 6400 6475 6512 6845 7000 7040 7168 7400 7700 8000 8140 8192 8288 8800 8960 9250 9472 9583 9625 9856 10175 10240 10360 10952 11000 11200 11264 11396 11840 12320 12800 12950 13024 13690 14000 14080 14245 14336 14800 15059 15400 16000 16280 16384 16576 17600 17920 18500 18944 19166 19250 19712 20350 20480 20720 21904 22000 22400 22528 22792 23680 24640 25600 25900 26048 27380 28000 28160 28490 28672 29600 30118 30800 32000 32375 32560 32768 33152 34225 35200 35840 37000 37888 38332 38500 39424 40700 40960 41440 43808 44000 44800 45056 45584 47360 47915 49280 50653 50875 51200 51800 52096 54760 56000 56320 56980 57344 59200 60236 61600 64000 64750 65120 65536 66304 68450 70400 71225 71680 74000 75295 75776 76664 77000 78848 81400 81920 82880 87616 88000 89600 90112 91168 94720 95830 98560 101306 101750 102400 103600 104192 105413 109520 112000 112640 113960 114688 118400 120472 123200 128000 129500 130240 131072 132608 136900 140800 142450 143360 148000 150590 151552 153328 154000 157696 162800 163840 165760 171125 175232 176000 179200 180224 182336 189440 191660 197120 202612 203500 204800 207200 208384 210826 219040 224000 225280 227920 229376 236800 239575 240944 246400 253265 256000 259000 260480 262144 265216 273800 281600 284900 286720 296000 301180 303104 306656 308000 315392 325600 327680 331520 342250 350464 352000 354571 356125 358400 360448 364672 376475 378880 383320 394240 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64677912510464000 65435856797696000 65853874556108800 67006317360840704 69616953102172160 72439262011719680 74783836340224000 76143542455500800 76578648412389376 82317343195136000 83757896701050880 87021191377715200 90549077514649600 95179428069376000 95723310515486720 97463734343041024 97890894610432000 103484660016742400 104697370876313600 108776489222144000 113186346893312000 119654138144358400 121829667928801280 129355825020928000 130871713595392000 134012634721681408 144878524023439360 149567672680448000 152287084911001600 153157296824778752 164634686390272000 167515793402101760 174042382755430400 181098155029299200 190358856138752000 191446621030973440 209394741752627200 217552978444288000 226372693786624000 239308276288716800 243659335857602560 258711650041856000 261743427190784000 268025269443362816 299135345360896000 304574169822003200 329269372780544000 335031586804203520 348084765510860800 362196310058598400 380717712277504000 382893242061946880 418789483505254400 435105956888576000 452745387573248000 478616552577433600 487318671715205120 517423300083712000 523486854381568000 536050538886725632 598270690721792000 609148339644006400 670063173608407040 724392620117196800 761435424555008000 765786484123893760 837578967010508800 870211913777152000 905490775146496000 957233105154867200 1046973708763136000 1072101077773451264 1196541381443584000 1218296679288012800 1340126347216814080 1522870849110016000 1675157934021017600 1740423827554304000 1810981550292992000 1914466210309734400 2093947417526272000 2393082762887168000 2436593358576025600 2680252694433628160 3045741698220032000 3350315868042035200 3621963100585984000 3828932420619468800 4187894835052544000 4786165525774336000 5360505388867256320 6091483396440064000 6700631736084070400 8375789670105088000 9572331051548672000 12182966792880128000 13401263472168140800 16751579340210176000 19144662103097344000 26802526944336281600 33503158680420352000 67006317360840704000 134012634721681408000
- Sum of all divisors σ(n): 428617428160255326720
- Sum of proper divisors (its aliquot sum) s(n): 294604793438573918720
- 134012634721681408000 is an abundant number, because the sum of its proper divisors (294604793438573918720) is greater than itself. Its abundance is 160592158716892510720
Bases of 134012634721681408000
- Binary: 11101000011110011001000010101000000000000000000000000000000000000002
- Hexadecimal: 0x743CC854000000000
- Base-36: SA5Y29EPPBFGG
Squares and roots of 134012634721681408000
- 134012634721681408000 squared (1340126347216814080002) is 17959386265046809310641398652862464000000
- 134012634721681408000 cubed (1340126347216814080003) is 2406784671363300215589620592125344403257262249869312000000000
-
The
square root of 134012634721681408000 is 11576382626.7829195313 -
The
cube root of 134012634721681408000 is 5117390.7746339095
Scales and comparisons
How big is 134012634721681408000?- 134,012,634,721,681,408,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 134,012,634,721,681,408,000 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 134012634721681408000 cubic inches would be around 426449.2 feet tall.
Recreational maths with 134012634721681408000
- 134012634721681408000 backwards is 000804186127436210431
- The number of decimal digits it has is: 21
- The sum of 134012634721681408000's digits is 61
- More coming soon!
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"Number 134012634721681408000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 134012634721681408000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/134012634721681408000/
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Numbermatics. 2024. "Number 134012634721681408000 - Facts about the integer". https://numbermatics.com/n/134012634721681408000/
The information we have on file for 134012634721681408000 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!
Keywords: Divisors of 134012634721681408000, math, Factors of 134012634721681408000, curriculum, school, college, exams, university, Prime factorization of 134012634721681408000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quintillion, twelve quadrillion, six hundred thirty-four trillion, seven hundred twenty-one billion, six hundred eighty-one million, four hundred eight thousand.