132077748864000
132,077,748,864,000 is an even composite number composed of five prime numbers multiplied together.
132077748864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 132077748864000:
210 × 3 × 53 × 312 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 71 × 71 × 71)See below for interesting mathematical facts about the number 132077748864000 from the Numbermatics database.
Names of 132077748864000
- Cardinal: 132077748864000 can be written as One hundred thirty-two trillion, seventy-seven billion, seven hundred forty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.32077748864 × 1014
Factors of 132077748864000
Divisors of 132077748864000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 71 75 80 93 96 100 120 124 125 128 142 150 155 160 186 192 200 213 240 248 250 256 284 300 310 320 355 372 375 384 400 426 465 480 496 500 512 568 600 620 640 710 744 750 768 775 800 852 930 960 961 992 1000 1024 1065 1136 1200 1240 1280 1420 1488 1500 1536 1550 1600 1704 1775 1860 1920 1922 1984 2000 2130 2201 2272 2325 2400 2480 2560 2840 2883 2976 3000 3072 3100 3200 3408 3550 3720 3840 3844 3875 3968 4000 4260 4402 4544 4650 4800 4805 4960 5041 5120 5325 5680 5766 5952 6000 6200 6400 6603 6816 7100 7440 7680 7688 7750 7936 8000 8520 8804 8875 9088 9300 9600 9610 9920 10082 10650 11005 11360 11532 11625 11904 12000 12400 12800 13206 13632 14200 14415 14880 15123 15360 15376 15500 15872 16000 17040 17608 17750 18176 18600 19200 19220 19840 20164 21300 22010 22720 23064 23250 23808 24000 24025 24800 25205 25600 26412 26625 27264 28400 28830 29760 30246 30752 31000 31744 32000 33015 34080 35216 35500 36352 37200 38400 38440 39680 40328 42600 44020 45440 46128 46500 47616 48000 48050 49600 50410 52824 53250 54528 55025 56800 57660 59520 60492 61504 62000 64000 66030 68160 68231 70432 71000 72075 72704 74400 75615 76800 76880 79360 80656 85200 88040 90880 92256 93000 95232 96000 96100 99200 100820 105648 106500 109056 110050 113600 115320 119040 120125 120984 123008 124000 126025 128000 132060 136320 136462 140864 142000 144150 148800 151230 153760 156271 158720 161312 165075 170400 176080 181760 184512 186000 192000 192200 198400 201640 204693 211296 213000 218112 220100 227200 230640 238080 240250 241968 246016 248000 252050 264120 272640 272924 275125 281728 284000 288300 297600 302460 307520 312542 322624 330150 340800 341155 352160 357911 360375 363520 369024 372000 378075 384000 384400 396800 403280 409386 422592 426000 440200 454400 461280 468813 476160 480500 483936 492032 496000 504100 528240 545280 545848 550250 563456 568000 576600 595200 604920 615040 625084 630125 645248 660300 681600 682310 704320 715822 720750 738048 744000 756150 768800 781355 793600 806560 818772 825375 845184 852000 880400 908800 922560 937626 961000 967872 984064 992000 1008200 1023465 1056480 1073733 1090560 1091696 1100500 1126912 1136000 1153200 1190400 1209840 1230080 1250168 1260250 1290496 1320600 1363200 1364620 1408640 1431644 1441500 1476096 1488000 1512300 1537600 1562710 1613120 1637544 1650750 1690368 1704000 1705775 1760800 1789555 1817600 1845120 1875252 1890375 1922000 1935744 1984000 2016400 2046930 2112960 2147466 2183392 2201000 2253824 2272000 2306400 2344065 2380800 2419680 2460160 2500336 2520500 2580992 2641200 2726400 2729240 2817280 2863288 2883000 2952192 2976000 3024600 3075200 3125420 3226240 3275088 3301500 3380736 3408000 3411550 3521600 3579110 3690240 3750504 3780750 3844000 3871488 3906775 3968000 4032800 4093860 4225920 4294932 4366784 4402000 4544000 4612800 4688130 4839360 4844401 4920320 5000672 5041000 5117325 5161984 5282400 5368665 5452800 5458480 5634560 5726576 5766000 5952000 6049200 6150400 6250840 6452480 6550176 6603000 6761472 6816000 6823100 7043200 7158220 7380480 7501008 7561500 7688000 7742976 7813550 8065600 8187720 8451840 8528875 8589864 8733568 8804000 8947775 9088000 9225600 9376260 9678720 9688802 10001344 10082000 10234650 10564800 10737330 10916960 11095241 11269120 11453152 11532000 11720325 11904000 12098400 12300800 12501680 12904960 13100352 13206000 13632000 13646200 14086400 14316440 14533203 14760960 15002016 15123000 15376000 15485952 15627100 16131200 16375440 16903680 17057750 17179728 17467136 17608000 17895550 18451200 18752520 19357440 19377604 19533875 20002688 20164000 20469300 21129600 21474660 21833920 22190482 22906304 23064000 23440650 24196800 24222005 24601600 25003360 25586625 25809920 26200704 26412000 26843325 27264000 27292400 28172800 28632880 29066406 30004032 30246000 30752000 31254200 32262400 32750880 33285723 33807360 34115500 34359456 34934272 35216000 35791100 36902400 37505040 38714880 38755208 39067750 40005376 40328000 40938600 42259200 42949320 43667840 44380964 44738875 45812608 46128000 46881300 48393600 48444010 50006720 51173250 52401408 52824000 53686650 54584800 55476205 56345600 57265760 58132812 58601625 60008064 60492000 61504000 62508400 64524800 65501760 66571446 68231000 68718912 69868544 70432000 71582200 72666015 73804800 75010080 77429760 77510416 78135500 80010752 80656000 81877200 84518400 85898640 87335680 88761928 89477750 91625216 92256000 93762600 96787200 96888020 100013440 102346500 104802816 105648000 107373300 109169600 110952410 114531520 116265624 117203250 120016128 120984000 121110025 123008000 125016800 129049600 131003520 133142892 134216625 136462000 137437824 140864000 143164400 145332030 150020160 155020832 156271000 160021504 161312000 163754400 166428615 169036800 171797280 174671360 177523856 178955500 183250432 184512000 187525200 193574400 193776040 200026880 204693000 209605632 211296000 214746600 218339200 221904820 229063040 232531248 234406500 240032256 241968000 242220050 250033600 262007040 266285784 268433250 272924000 274875648 277381025 281728000 286328800 290664060 300040320 310041664 312542000 322624000 327508800 332857230 343594560 343952471 349342720 355047712 357911000 363330075 366500864 369024000 375050400 387148800 387552080 400053760 409386000 422592000 429493200 436678400 443809640 458126080 465062496 468813000 480064512 483936000 484440100 500067200 524014080 532571568 536866500 545848000 549751296 554762050 572657600 581328120 600080640 605550125 620083328 625084000 645248000 655017600 665714460 687189120 687904942 710095424 715822000 726660150 750100800 775104160 800107520 818772000 832143075 845184000 858986400 873356800 887619280 916252160 930124992 937626000 967872000 968880200 1000134400 1031857413 1048028160 1065143136 1073733000 1091696000 1099502592 1109524100 1145315200 1162656240 1200161280 1211100250 1240166656 1250168000 1310035200 1331428920 1374378240 1375809884 1386905125 1420190848 1431644000 1453320300 1500201600 1550208320 1637544000 1664286150 1717972800 1719762355 1746713600 1775238560 1816650375 1832504320 1860249984 1875252000 1935744000 1937760400 2000268800 2063714826 2130286272 2147466000 2183392000 2219048200 2290630400 2325312480 2400322560 2422200500 2480333312 2500336000 2620070400 2662857840 2748756480 2751619768 2773810250 2840381696 2863288000 2906640600 3000403200 3100416640 3275088000 3328572300 3435945600 3439524710 3550477120 3633300750 3720499968 3750504000 3875520800 4000537600 4127429652 4160715375 4260572544 4294932000 4366784000 4438096400 4581260800 4650624960 4844401000 4960666624 5000672000 5159287065 5240140800 5325715680 5497512960 5503239536 5547620500 5680763392 5726576000 5813281200 6000806400 6200833280 6550176000 6657144600 6871891200 6879049420 7100954240 7266601500 7440999936 7501008000 7751041600 8254859304 8321430750 8521145088 8589864000 8598811775 8733568000 8876192800 9162521600 9301249920 9688802000 10001344000 10318574130 10651431360 11006479072 11095241000 11361526784 11453152000 11626562400 12001612800 12401666560 13100352000 13314289200 13743782400 13758098840 14201908480 14533203000 14881999872 15002016000 15502083200 16509718608 16642861500 17042290176 17179728000 17197623550 17752385600 18602499840 19377604000 20002688000 20637148260 21302862720 22012958144 22190482000 22906304000 23253124800 24803333120 25796435325 26200704000 26628578400 27487564800 27516197680 28403816960 29066406000 30004032000 31004166400 33019437216 33285723000 34084580352 34359456000 34395247100 35504771200 37204999680 38755208000 41274296520 42605725440 42994058875 44025916288 44380964000 45812608000 46506249600 51592870650 53257156800 55032395360 56807633920 58132812000 60008064000 62008332800 66038874432 66571446000 68718912000 68790494200 71009542400 74409999360 77510416000 82548593040 85211450880 85988117750 88051832576 88761928000 93012499200 103185741300 106514313600 110064790720 116265624000 124016665600 128982176625 132077748864 133142892000 137437824000 137580988400 142019084800 155020832000 165097186080 170422901760 171976235500 176103665152 177523856000 186024998400 206371482600 213028627200 220129581440 232531248000 257964353250 264155497728 266285784000 275161976800 284038169600 310041664000 330194372160 343952471000 352207330304 355047712000 372049996800 412742965200 426057254400 440259162880 465062496000 515928706500 528310995456 532571568000 550323953600 620083328000 660388744320 687904942000 710095424000 825485930400 852114508800 880518325760 930124992000 1031857413000 1056621990912 1065143136000 1100647907200 1320777488640 1375809884000 1420190848000 1650971860800 1761036651520 1860249984000 2063714826000 2130286272000 2201295814400 2641554977280 2751619768000 3301943721600 4127429652000 4260572544000 4402591628800 5283109954560 5503239536000 6603887443200 8254859304000 8805183257600 11006479072000 13207774886400 16509718608000 22012958144000 26415549772800 33019437216000 44025916288000 66038874432000 132077748864000
- Sum of all divisors σ(n): 460454814832896
- Sum of proper divisors (its aliquot sum) s(n): 328377065968896
- 132077748864000 is an abundant number, because the sum of its proper divisors (328377065968896) is greater than itself. Its abundance is 196299317104896
Bases of 132077748864000
- Binary: 111100000011111101111110100110111000100000000002
- Hexadecimal: 0x781FBF4DC400
- Base-36: 1ATFOHIZ9C
Squares and roots of 132077748864000
- 132077748864000 squared (1320777488640002) is 17444531744981853290496000000
- 132077748864000 cubed (1320777488640003) is 2304034482863788911139422725996544000000000
-
The
square root of 132077748864000 is 11492508.3799838927 -
The
cube root of 132077748864000 is 50926.4284387683
Scales and comparisons
How big is 132077748864000?- 132,077,748,864,000 seconds is equal to 4,199,663 years, 45 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 132,077,748,864,000 would take you about ten million, four hundred ninety-nine thousand, one hundred fifty-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 132077748864000 cubic inches would be around 4243.9 feet tall.
Recreational maths with 132077748864000
- 132077748864000 backwards is 000468847770231
- The number of decimal digits it has is: 15
- The sum of 132077748864000's digits is 57
- More coming soon!
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The information we have on file for 132077748864000 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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