132968186736000
132,968,186,736,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132968186736000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
132968186736000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 132968186736000:
27 × 3 × 53 × 74 × 11 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 53 × 1979)See below for interesting mathematical facts about the number 132968186736000 from the Numbermatics database.
Names of 132968186736000
- Cardinal: 132968186736000 can be written as One hundred thirty-two trillion, nine hundred sixty-eight billion, one hundred eighty-six million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.32968186736 × 1014
Factors of 132968186736000
Divisors of 132968186736000
- Number of divisors d(n): 2560
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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 53 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 106 110 112 120 125 128 132 140 147 150 154 159 160 165 168 175 176 192 196 200 210 212 220 224 231 240 245 250 264 265 275 280 294 300 308 318 320 330 336 343 350 352 371 375 384 385 392 400 420 424 440 448 462 480 490 500 525 528 530 539 550 560 583 588 600 616 636 640 660 672 686 700 704 735 742 750 770 784 795 800 825 840 848 875 880 896 924 960 980 1000 1029 1050 1056 1060 1078 1100 1113 1120 1155 1166 1176 1200 1225 1232 1272 1320 1325 1344 1372 1375 1400 1408 1470 1484 1500 1540 1568 1590 1600 1617 1650 1680 1696 1715 1749 1750 1760 1848 1855 1920 1925 1960 1979 2000 2058 2100 2112 2120 2156 2200 2226 2240 2310 2332 2352 2400 2401 2450 2464 2544 2597 2625 2640 2650 2688 2695 2744 2750 2800 2915 2940 2968 3000 3080 3136 3180 3200 3234 3300 3360 3392 3430 3498 3500 3520 3675 3696 3710 3773 3850 3920 3958 3975 4000 4081 4116 4125 4200 4224 4240 4312 4400 4452 4480 4620 4664 4704 4800 4802 4900 4928 5088 5145 5194 5250 5280 5300 5390 5488 5500 5565 5600 5775 5830 5880 5936 5937 6000 6125 6160 6272 6360 6468 6600 6625 6720 6784 6860 6996 7000 7040 7203 7350 7392 7420 7546 7700 7791 7840 7916 7950 8000 8085 8162 8232 8250 8400 8480 8575 8624 8745 8800 8904 9240 9275 9328 9408 9600 9604 9625 9800 9856 9895 10176 10290 10388 10500 10560 10600 10780 10976 11000 11130 11200 11319 11550 11660 11760 11872 11874 12000 12005 12243 12250 12320 12720 12936 12985 13200 13250 13440 13475 13720 13853 13992 14000 14406 14575 14700 14784 14840 15092 15400 15582 15680 15832 15900 16000 16170 16324 16464 16500 16800 16960 17150 17248 17490 17600 17808 18179 18375 18480 18550 18656 18816 18865 19208 19250 19600 19790 19875 20352 20405 20580 20776 21000 21120 21200 21560 21769 21952 22000 22260 22400 22638 23100 23320 23520 23744 23748 24000 24010 24486 24500 24640 25440 25725 25872 25970 26400 26411 26500 26950 27440 27706 27825 27984 28000 28567 28812 28875 29150 29400 29568 29680 29685 30184 30800 31164 31360 31664 31800 32340 32648 32928 33000 33600 33920 34300 34496 34980 35200 35616 36015 36358 36750 36960 37100 37312 37730 38416 38500 38955 39200 39580 39750 40425 40810 41160 41552 41559 42000 42400 42875 43120 43538 43725 43904 44000 44520 45276 46200 46375 46640 47040 47488 47496 48000 48020 48972 49000 49280 49475 50880 51450 51744 51940 52800 52822 53000 53900 54537 54880 55412 55650 55968 56000 56595 57134 57624 57750 58300 58800 59360 59370 60025 60368 61215 61600 62328 63328 63600 64680 64925 65296 65307 65856 66000 67200 67375 68600 68992 69265 69960 71232 72030 72716 72875 73500 73920 74200 74624 75460 76832 77000 77910 78400 79160 79233 79500 80850 81620 82320 83104 83118 84000 84800 85701 85750 86240 87076 87450 88000 89040 90552 90895 92400 92750 93280 94080 94325 94992 96040 96971 97944 98000 98950 101760 102025 102900 103488 103880 104887 105600 105644 106000 107800 108845 109074 109760 110824 111300 111936 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113068186000 114037896000 115123971200 118721595300 119468272000 120880169760 123347112000 125441685600 125916843500 126636368320 129220784000 132968186736 135681823200 138508527850 143904964000 148401994125 151100212200 151963641984 156802107000 158295460400 161173559680 166210233420 167255580800 169602279000 172685956800 177290915648 179202408000 180909097600 188875265250 189954552480 193831176000 197869325500 201466949600 207762791775 209069476000 215857446000 221613644560 226136372000 228075792000 237443190600 241760339520 246694224000 250883371200 251833687000 253272736640 265936373472 271363646400 277017055700 287809928000 296803988250 302200424400 313604214000 316590920800 332420466840 339204558000 345371913600 346271319625 354581831296 358404816000 377750530500 379909104960 387662352000 395738651000 402933899200 415525583550 418138952000 431714892000 443227289120 452272744000 474886381200 483520679040 501766742400 503667374000 531872746944 542727292800 554034111400 575619856000 593607976500 604400848800 627208428000 633181841600 664840933680 678409116000 692542639250 755501061000 759818209920 791477302000 805867798400 831051167100 836277904000 863429784000 886454578240 904545488000 949772762400 1007334748000 1038813958875 1063745493888 1108068222800 1187215953000 1208801697600 1254416856000 1266363683200 1329681867360 1356818232000 1385085278500 1511002122000 1582954604000 1662102334200 1726859568000 1772909156480 1899545524800 2014669496000 2077627917750 2216136445600 2374431906000 2417603395200 2508833712000 2659363734720 2713636464000 2770170557000 3022004244000 3165909208000 3324204668400 3799091049600 4029338992000 4155255835500 4432272891200 4748863812000 5318727469440 5540341114000 6044008488000 6331818416000 6648409336800 8310511671000 8864545782400 9497727624000 11080682228000 12088016976000 13296818673600 16621023342000 18995455248000 22161364456000 26593637347200 33242046684000 44322728912000 66484093368000 132968186736000
- Sum of all divisors σ(n): 571844666764800
- Sum of proper divisors (its aliquot sum) s(n): 438876480028800
- 132968186736000 is an abundant number, because the sum of its proper divisors (438876480028800) is greater than itself. Its abundance is 305908293292800
Bases of 132968186736000
- Binary: 111100011101111000100011000100101101101100000002
- Hexadecimal: 0x78EF11896D80
- Base-36: 1B4SQP8UIO
Squares and roots of 132968186736000
- 132968186736000 squared (1329681867360002) is 17680538683859766333696000000
- 132968186736000 cubed (1329681867360003) is 2350949169308537079096215817056256000000000
-
The
square root of 132968186736000 is 11531183.2322619867 -
The
cube root of 132968186736000 is 51040.6169753907
Scales and comparisons
How big is 132968186736000?- 132,968,186,736,000 seconds is equal to 4,227,977 years, 2 weeks, 18 hours, 40 minutes.
-
To count from 1 to 132,968,186,736,000 would take you about ten million, five hundred sixty-nine thousand, nine hundred forty-two 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 132968186736000 cubic inches would be around 4253.4 feet tall.
Recreational maths with 132968186736000
- 132968186736000 backwards is 000637681869231
- 132968186736000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132968186736000's digits is 60
- More coming soon!
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The information we have on file for 132968186736000 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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