132848438976000
132,848,438,976,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 132848438976000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
132848438976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 132848438976000:
29 × 32 × 53 × 11 × 192 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 241 × 241)See below for interesting mathematical facts about the number 132848438976000 from the Numbermatics database.
Names of 132848438976000
- Cardinal: 132848438976000 can be written as One hundred thirty-two trillion, eight hundred forty-eight billion, four hundred thirty-eight million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.32848438976 × 1014
Factors of 132848438976000
Divisors of 132848438976000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 125 128 132 144 150 152 160 165 171 176 180 190 192 198 200 209 220 225 228 240 241 250 256 264 275 285 288 300 304 320 330 342 352 360 361 375 380 384 396 400 418 440 450 456 475 480 482 495 500 512 528 550 570 576 600 608 627 640 660 684 704 720 722 723 750 760 768 792 800 825 836 855 880 900 912 950 960 964 990 1000 1045 1056 1083 1100 1125 1140 1152 1200 1205 1216 1254 1280 1320 1368 1375 1408 1425 1440 1444 1446 1500 1520 1536 1584 1600 1650 1672 1710 1760 1800 1805 1824 1881 1900 1920 1928 1980 2000 2090 2112 2166 2169 2200 2250 2280 2304 2375 2400 2410 2432 2475 2508 2560 2640 2651 2736 2750 2816 2850 2880 2888 2892 3000 3040 3135 3168 3200 3249 3300 3344 3420 3520 3600 3610 3615 3648 3762 3800 3840 3856 3960 3971 4000 4125 4180 4224 4275 4332 4338 4400 4500 4560 4579 4608 4750 4800 4820 4864 4950 5016 5225 5280 5302 5415 5472 5500 5632 5700 5760 5776 5784 6000 6025 6080 6270 6336 6400 6498 6600 6688 6840 7040 7125 7200 7220 7230 7296 7524 7600 7680 7712 7920 7942 7953 8000 8250 8360 8448 8550 8664 8676 8800 9000 9025 9120 9158 9405 9500 9600 9640 9728 9900 10032 10450 10560 10604 10830 10845 10944 11000 11400 11520 11552 11568 11913 12000 12050 12160 12375 12540 12672 12800 12996 13200 13255 13376 13680 13737 14080 14250 14400 14440 14460 14592 15048 15200 15424 15675 15840 15884 15906 16000 16245 16500 16720 16896 17100 17328 17352 17600 18000 18050 18075 18240 18316 18810 19000 19200 19280 19800 19855 20064 20900 21120 21208 21375 21660 21690 21888 22000 22800 22895 23040 23104 23136 23826 23859 24000 24100 24320 24750 25080 25344 25992 26125 26400 26510 26752 27075 27360 27474 28160 28500 28800 28880 28920 29184 30096 30125 30400 30848 31350 31680 31768 31812 32000 32490 33000 33440 34200 34656 34704 35200 35739 36000 36100 36150 36480 36632 37620 38000 38400 38560 39600 39710 39765 40128 41211 41800 42240 42416 42750 43320 43380 43776 44000 45125 45600 45790 46208 46272 47025 47652 47718 48000 48200 48640 49500 50160 50369 50688 51984 52250 52800 53020 53504 54150 54225 54720 54948 57000 57600 57760 57840 58081 59565 60192 60250 60800 61696 62700 63360 63536 63624 64000 64980 66000 66275 66880 68400 68685 69312 69408 70400 71478 72000 72200 72300 72960 73264 75240 76000 77120 78375 79200 79420 79530 80256 81225 82422 83600 84480 84832 85500 86640 86760 87001 87552 88000 90250 90375 91200 91580 92416 92544 94050 95304 95436 96000 96400 99000 99275 100320 100738 103968 104500 105600 106040 107008 108300 108450 109440 109896 114000 114475 115200 115520 115680 116162 119130 119295 120384 120500 121600 123392 125400 126720 127072 127248 129960 132000 132550 133760 135375 136800 137370 138624 138816 140800 142956 144000 144400 144600 145920 146528 150480 151107 152000 154240 156750 158400 158840 159060 160512 162450 164844 167200 169664 171000 173280 173520 174002 174243 176000 178695 180500 180750 182400 183160 184832 185088 188100 190608 190872 192000 192800 198000 198550 198825 200640 201476 206055 207936 209000 211200 212080 216600 216900 218880 219792 228000 228950 231040 231360 232324 235125 238260 238590 240768 241000 243200 250800 251845 253440 254144 254496 259920 261003 264000 265100 267520 270750 271125 273600 274740 277248 277632 285912 288000 288800 289200 290405 293056 297825 300960 302214 304000 308480 313500 316800 317680 318120 321024 324900 329688 331375 334400 339328 342000 343425 346560 347040 348004 348486 352000 357390 361000 361500 364800 366320 370176 376200 381216 381744 385600 396000 397100 397650 401280 402952 406125 412110 415872 418000 422400 424160 433200 433800 435005 437760 439584 453321 456000 457900 462080 462720 464648 470250 476520 477180 481536 482000 496375 501600 503690 508288 508992 519840 522006 522729 528000 530200 535040 541500 542250 547200 549480 554496 555264 571824 572375 576000 577600 578400 580810 586112 595650 596475 601920 604428 608000 616960 627000 633600 635360 636240 638891 649800 659376 662750 668800 678656 684000 686850 693120 694080 696008 696972 704000 714780 722000 723000 729600 732640 752400 755535 762432 763488 771200 783009 792000 794200 795300 802560 805904 812250 824220 831744 836000 848320 866400 867600 870010 871215 879168 893475 906642 912000 915800 924160 925440 929296 940500 953040 954360 957011 963072 964000 992750 994125 1003200 1007380 1016576 1017984 1030275 1039680 1044012 1045458 1056000 1060400 1083000 1084500 1094400 1098960 1103539 1110528 1143648 1144750 1155200 1156800 1161620 1172224 1191300 1192950 1203840 1208856 1216000 1254000 1259225 1267200 1270720 1272480 1277782 1299600 1305015 1318752 1325500 1337600 1357312 1368000 1373700 1386240 1388160 1392016 1393944 1429560 1444000 1446000 1452025 1465280 1489125 1504800 1511070 1524864 1526976 1542400 1566018 1584000 1588400 1590600 1605120 1611808 1624500 1648440 1663488 1672000 1696640 1717125 1732800 1735200 1740020 1742430 1758336 1786950 1813284 1824000 1831600 1850880 1858592 1881000 1906080 1908720 1914022 1916673 1928000 1985500 1988250 2006400 2014760 2033152 2035968 2060550 2079360 2088024 2090916 2112000 2120800 2166000 2169000 2175025 2188800 2197920 2207078 2266605 2287296 2289500 2310400 2313600 2323240 2344448 2382600 2385900 2407680 2417712 2508000 2518450 2541440 2544960 2555564 2599200 2610030 2613645 2637504 2651000 2675200 2736000 2747400 2772480 2776320 2784032 2787888 2859120 2871033 2888000 2892000 2904050 2930560 2978250 2982375 3009600 3022140 3049728 3053952 3084800 3132036 3168000 3176800 3181200 3194455 3223616 3249000 3296880 3310617 3344000 3393280 3434250 3465600 3470400 3480040 3484860 3516672 3573900 3626568 3648000 3663200 3717184 3762000 3777675 3812160 3817440 3828044 3833346 3856000 3915045 3971000 3976500 4012800 4029520 4071936 4121100 4158720 4176048 4181832 4241600 4332000 4338000 4350050 4356075 4395840 4414156 4467375 4533210 4574592 4579000 4620800 4627200 4646480 4765200 4771800 4785055 4815360 4835424 5016000 5036900 5082880 5089920 5111128 5151375 5198400 5220060 5227290 5275008 5302000 5472000 5494800 5517695 5552640 5568064 5575776 5718240 5742066 5750019 5776000 5784000 5808100 5861120 5956500 5964750 6019200 6044280 6099456 6107904 6264072 6296125 6336000 6353600 6362400 6388910 6447232 6498000 6525075 6593760 6621234 6688000 6786560 6868500 6931200 6940800 6960080 6969720 7033344 7147800 7253136 7260125 7326400 7434368 7524000 7555350 7624320 7634880 7656088 7666692 7712000 7830090 7942000 7953000 8025600 8059040 8242200 8317440 8352096 8363664 8483200 8613099 8664000 8676000 8700100 8712150 8791680 8828312 8934750 9066420 9149184 9158000 9254400 9292960 9530400 9543600 9570110 9583365 9670848 9931851 10032000 10073800 10165760 10179840 10222256 10302750 10396800 10440120 10454580 10550016 10604000 10875125 10944000 10989600 11035390 11136128 11151552 11333025 11436480 11484132 11500038 11552000 11568000 11616200 11722240 11913000 11929500 12038400 12088560 12138929 12215808 12528144 12592250 12707200 12724800 12777820 12894464 12996000 13050150 13068225 13187520 13242468 13376000 13737000 13862400 13881600 13920160 13939440 14295600 14355165 14506272 14520250 14652800 14868736 15048000 15110700 15248640 15269760 15312176 15333384 15424000 15660180 15884000 15906000 15972275 16118080 16484400 16553085 16704192 16727328 16966400 17226198 17328000 17352000 17400200 17424300 17583360 17656624 17869500 18132840 18298368 18316000 18585920 18888375 19060800 19087200 19140220 19166730 19341696 19575225 19863702 20064000 20147600 20359680 20444512 20605500 20793600 20880240 20909160 20967241 21100032 21208000 21750250 21780375 21979200 22070780 22272256 22303104 22666050 22872960 22968264 23000076 23104000 23136000 23232400 23826000 23859000 23925275 24076800 24177120 24277858 25056288 25184500 25414400 25449600 25555640 25788928 25992000 26100300 26136450 26375040 26484936 27474000 27588475 27763200 27840320 27878880 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4965925500 5011257600 5032137840 5085107712 5111128000 5241810250 5296987200 5367613696 5462518050 5512383360 5535351624 5568064000 5575776000 5742066000 5750019000 5765991275 5802508800 5826685920 6038565408 6069464500 6124870400 6133353600 6215131648 6264072000 6290172300 6356384640 6621234000 6690931200 6709517120 6890479200 6919189530 6992023104 7062649600 7253136000 7283357400 7349844480 7360024320 7380468832 7548206760 7656088000 7666692000 7768914560 7862715375 7945480800 8051420544 8177804800 8303027436 8352096000 8363664000 8386896400 8475179520 8613099000 8740028880 8828312000 9104196750 9187305600 9200030400 9225586040 9322697472 9435258450 9670848000 9711143200 9931851000 10022515200 10064275680 10222256000 10378784295 10483620500 10593974400 10735227392 10925036100 11024766720 11070703248 11151552000 11484132000 11500038000 11531982550 11653371840 12077130816 12138929000 12249740800 12266707200 12528144000 12580344600 12712769280 13242468000 13419034240 13656295125 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41515137180 41934482000 42375897600 43700144400 44282812992 45936528000 46000152000 46127930200 46613487360 47176292250 48308523264 48555716000 50112576000 50321378400 51893921475 52969872000 53676136960 54625180500 55123833600 55353516240 55936184832 57659912750 58266859200 59043750656 60385654080 61248704000 61333536000 62901723000 63563846400 66424219488 67095171200 68904792000 69191895300 69920231040 70626496000 72833574000 73600243200 73804688320 75482067600 77689145600 79454808000 80514205440 83030274360 83868964000 86489869125 87400288800 88565625984 91873056000 92000304000 92255860400 93226974720 94352584500 96617046528 97111432000 100642756800 103787842950 105939744000 109250361000 110247667200 110707032480 115319825500 116533718400 118087501312 120771308160 122667072000 125803446000 127127692800 132848438976 134190342400 137809584000 138383790600 139840462080 145667148000 147609376640 150964135200 155378291200 158909616000 161028410880 166060548720 167737928000 172979738250 174800577600 177131251968 183746112000 184000608000 184511720800 188705169000 194222864000 201285513600 207575685900 211879488000 218500722000 221414064960 230639651000 233067436800 241542616320 251606892000 259469607375 265696877952 268380684800 275619168000 276767581200 279680924160 291334296000 295218753280 301928270400 317819232000 332121097440 335475856000 345959476500 349601155200 354262503936 368001216000 369023441600 377410338000 388445728000 402571027200 415151371800 437001444000 442828129920 461279302000 466134873600 483085232640 503213784000 518939214750 531393755904 551238336000 553535162400 582668592000 590437506560 603856540800 635638464000 664242194880 670951712000 691918953000 699202310400 738046883200 754820676000 776891456000 805142054400 830302743600 874002888000 885656259840 922558604000 1006427568000 1037878429500 1062787511808 1107070324800 1165337184000 1207713081600 1328484389760 1341903424000 1383837906000 1398404620800 1476093766400 1509641352000 1660605487200 1748005776000 1771312519680 1845117208000 2012855136000 2075756859000 2214140649600 2330674368000 2415426163200 2656968779520 2767675812000 2952187532800 3019282704000 3321210974400 3496011552000 3690234416000 4025710272000 4151513718000 4428281299200 5313937559040 5535351624000 6038565408000 6642421948800 6992023104000 7380468832000 8303027436000 8856562598400 11070703248000 12077130816000 13284843897600 14760937664000 16606054872000 22141406496000 26569687795200 33212109744000 44282812992000 66424219488000 132848438976000
- Sum of all divisors σ(n): 553209540318864
- Sum of proper divisors (its aliquot sum) s(n): 420361101342864
- 132848438976000 is an abundant number, because the sum of its proper divisors (420361101342864) is greater than itself. Its abundance is 287512662366864
Bases of 132848438976000
- Binary: 111100011010011001100000000001110011110000000002
- Hexadecimal: 0x78D330039E00
- Base-36: 1B39QAIRK0
Squares and roots of 132848438976000
- 132848438976000 squared (1328484389760002) is 17648707738359995928576000000
- 132848438976000 cubed (1328484389760003) is 2344603272984776893437037190578176000000000
-
The
square root of 132848438976000 is 11525989.7178506975 -
The
cube root of 132848438976000 is 51025.2904139755
Scales and comparisons
How big is 132848438976000?- 132,848,438,976,000 seconds is equal to 4,224,169 years, 22 weeks, 3 days, 8 hours.
-
To count from 1 to 132,848,438,976,000 would take you about ten million, five hundred sixty thousand, four hundred twenty-three 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 132848438976000 cubic inches would be around 4252.1 feet tall.
Recreational maths with 132848438976000
- 132848438976000 backwards is 000679834848231
- The number of decimal digits it has is: 15
- The sum of 132848438976000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 132848438976000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/132848438976000/
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The information we have on file for 132848438976000 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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