13046361649152000
13,046,361,649,152,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13046361649152000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3072 divisors.
13046361649152000 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 13046361649152000:
215 × 3 × 53 × 133 × 372 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 37 × 37 × 353)See below for interesting mathematical facts about the number 13046361649152000 from the Numbermatics database.
Names of 13046361649152000
- Cardinal: 13046361649152000 can be written as Thirteen quadrillion, forty-six trillion, three hundred sixty-one billion, six hundred forty-nine million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3046361649152 × 1016
Factors of 13046361649152000
Divisors of 13046361649152000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 353 370 375 384 390 400 416 444 480 481 500 507 512 520 555 592 600 624 640 650 676 706 740 750 768 780 800 832 845 888 925 960 962 975 1000 1014 1024 1040 1059 1110 1184 1200 1248 1280 1300 1352 1369 1412 1443 1480 1500 1536 1560 1600 1625 1664 1690 1765 1776 1850 1920 1924 1950 2000 2028 2048 2080 2118 2197 2220 2368 2400 2405 2496 2535 2560 2600 2704 2738 2775 2824 2886 2960 3000 3072 3120 3200 3250 3328 3380 3530 3552 3700 3840 3848 3900 4000 4056 4096 4107 4160 4225 4236 4394 4440 4589 4625 4736 4800 4810 4875 4992 5070 5120 5200 5295 5408 5476 5550 5648 5772 5920 6000 6144 6240 6253 6400 6500 6591 6656 6760 6845 7060 7104 7215 7400 7680 7696 7800 8000 8112 8192 8214 8320 8450 8472 8788 8825 8880 9178 9250 9472 9600 9620 9750 9984 10140 10240 10400 10590 10816 10952 10985 11100 11296 11544 11840 12000 12025 12288 12480 12506 12675 12800 13000 13061 13182 13312 13520 13690 13767 13875 14120 14208 14430 14800 15360 15392 15600 16000 16224 16384 16428 16640 16900 16944 17576 17650 17760 17797 18356 18500 18759 18944 19200 19240 19500 19968 20280 20480 20535 20800 21125 21180 21632 21904 21970 22200 22592 22945 23088 23680 24000 24050 24576 24960 25012 25350 25600 26000 26122 26364 26475 26624 27040 27380 27534 27750 28240 28416 28860 29600 30720 30784 31200 31265 32000 32448 32768 32856 32955 33280 33800 33888 34225 35152 35300 35520 35594 36075 36712 37000 37518 37888 38400 38480 39000 39183 39936 40560 40960 41070 41600 42250 42360 43264 43808 43940 44125 44400 45184 45890 46176 47360 48000 48100 49152 49920 50024 50700 51200 52000 52244 52728 52950 53248 53391 54080 54760 54925 55068 55500 56480 56832 57720 59200 59657 60125 61440 61568 62400 62530 63375 64000 64896 65305 65712 65910 66560 67600 67776 68450 68835 70304 70600 71040 71188 72150 73424 74000 75036 75776 76800 76960 78000 78366 79872 81120 81289 81920 82140 83200 84500 84720 86528 87616 87880 88250 88800 88985 90368 91780 92352 93795 94720 96000 96200 98304 99840 100048 101400 102400 102675 104000 104488 105456 105900 106496 106782 108160 109520 109850 110136 111000 112960 113664 114725 115440 118400 119314 120250 122880 123136 124800 125060 126750 128000 129792 130610 131424 131820 132375 133120 135200 135552 136900 137670 140608 141200 142080 142376 144300 146848 148000 150072 151552 153600 153920 156000 156325 156732 159744 162240 162578 163840 164280 164775 166400 169000 169440 169793 171125 173056 175232 175760 176500 177600 177970 178971 180375 180736 183560 184704 187590 189440 192000 192400 195915 199680 200096 202800 204800 205350 208000 208976 210912 211800 212992 213564 216320 219040 219700 220272 222000 225920 227328 229450 230880 231361 236800 238628 240500 243867 245760 246272 249600 250120 253500 256000 259584 261220 262848 263640 264750 266240 266955 270400 271104 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3136144627200 3176615936000 3185146887000 3216558592000 3261590412288 3345220935680 3390426624000 3397490012800 3526043688960 3672962176000 3695853158400 3859870310400 3920180784000 4014265122816 4076988015360 4181526169600 4246862516000 4348787216384 4407554611200 4520568832000 4619816448000 4701391585280 4764923904000 4824837888000 5017831403520 5096235019200 5146493747200 5226907712000 5424682598400 5435984020480 5509443264000 5876739481600 5938262016000 6159755264000 6272289254400 6370293774000 6433117184000 6523180824576 6690441871360 6780853248000 6794980025600 7052087377920 7345924352000 7391706316800 7719740620800 7840361568000 8028530245632 8153976030720 8363052339200 8493725032000 8697574432768 8815109222400 9041137664000 9239632896000 9529847808000 9649675776000 10035662807040 10192470038400 10453815424000 10871968040960 11018886528000 11753478963200 12319510528000 12544578508800 12740587548000 12866234368000 13046361649152 13380883742720 13561706496000 13589960051200 14104174755840 14691848704000 15439481241600 15680723136000 16307952061440 16726104678400 16987450064000 17395148865536 17630218444800 18479265792000 19299351552000 20071325614080 20384940076800 20907630848000 21743936081920 22037773056000 23506957926400 25089157017600 25481175096000 25732468736000 26092723298304 27123412992000 27179920102400 29383697408000 31361446272000 32615904122880 33452209356800 33974900128000 34790297731072 35260436889600 36958531584000 38598703104000 40142651228160 40769880153600 41815261696000 43487872163840 44075546112000 50178314035200 50962350192000 52185446596608 54359840204800 58767394816000 62722892544000 65231808245760 66904418713600 67949800256000 70520873779200 77197406208000 81539760307200 83630523392000 86975744327680 88151092224000 100356628070400 101924700384000 104370893193216 108719680409600 117534789632000 125445785088000 130463616491520 135899600512000 163079520614400 167261046784000 173951488655360 176302184448000 200713256140800 203849400768000 217439360819200 250891570176000 260927232983040 271799201024000 326159041228800 334522093568000 352604368896000 407698801536000 434878721638400 501783140352000 521854465966080 543598402048000 652318082457600 815397603072000 869757443276800 1003566280704000 1087196804096000 1304636164915200 1630795206144000 2174393608192000 2609272329830400 3261590412288000 4348787216384000 6523180824576000 13046361649152000
- Sum of all divisors σ(n): 48476606454057600
- Sum of proper divisors (its aliquot sum) s(n): 35430244804905600
- 13046361649152000 is an abundant number, because the sum of its proper divisors (35430244804905600) is greater than itself. Its abundance is 22383883155753600
Bases of 13046361649152000
- Binary: 1011100101100110011000110001111011010110000000000000002
- Hexadecimal: 0x2E5998C7B58000
- Base-36: 3KGJRSUTUYO
Squares and roots of 13046361649152000
- 13046361649152000 squared (130463616491520002) is 170207552280464093142319104000000
- 13046361649152000 cubed (130463616491520003) is 2220589282467880784640146399503274999808000000000
-
The
square root of 13046361649152000 is 114220670.8488091485 -
The
cube root of 13046361649152000 is 235412.6544672917
Scales and comparisons
How big is 13046361649152000?- 13,046,361,649,152,000 seconds is equal to 414,833,945 years, 20 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 13,046,361,649,152,000 would take you about one billion, two hundred forty-four million, five hundred one thousand, eight hundred thirty-six 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 13046361649152000 cubic inches would be around 19617.7 feet tall.
Recreational maths with 13046361649152000
- 13046361649152000 backwards is 00025194616364031
- The number of decimal digits it has is: 17
- The sum of 13046361649152000's digits is 51
- More coming soon!
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"Number 13046361649152000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13046361649152000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13046361649152000/
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The information we have on file for 13046361649152000 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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