132117838512000
132,117,838,512,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 132117838512000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
132117838512000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 132117838512000:
27 × 3 × 53 × 11 × 193 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 19 × 191 × 191)See below for interesting mathematical facts about the number 132117838512000 from the Numbermatics database.
Names of 132117838512000
- Cardinal: 132117838512000 can be written as One hundred thirty-two trillion, one hundred seventeen billion, eight hundred thirty-eight million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.32117838512 × 1014
Factors of 132117838512000
Divisors of 132117838512000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 95 96 100 110 114 120 125 128 132 150 152 160 165 176 190 191 192 200 209 220 228 240 250 264 275 285 300 304 320 330 352 361 375 380 382 384 400 418 440 456 475 480 500 528 550 570 573 600 608 627 640 660 704 722 750 760 764 800 825 836 880 912 950 955 960 1000 1045 1056 1083 1100 1140 1146 1200 1216 1254 1320 1375 1408 1425 1444 1500 1520 1528 1600 1650 1672 1760 1805 1824 1900 1910 1920 2000 2090 2101 2112 2166 2200 2280 2292 2375 2400 2432 2508 2640 2750 2850 2865 2888 3000 3040 3056 3135 3200 3300 3344 3520 3610 3629 3648 3800 3820 3971 4000 4125 4180 4202 4224 4332 4400 4560 4584 4750 4775 4800 5016 5225 5280 5415 5500 5700 5730 5776 6000 6080 6112 6270 6303 6600 6688 6859 7040 7125 7220 7258 7296 7600 7640 7942 8000 8250 8360 8404 8664 8800 9025 9120 9168 9500 9550 9600 10032 10450 10505 10560 10830 10887 11000 11400 11460 11552 11913 12000 12160 12224 12540 12606 13200 13376 13718 14250 14325 14440 14516 15200 15280 15675 15884 16000 16500 16720 16808 17328 17600 18050 18145 18240 18336 19000 19100 19855 20064 20577 20900 21010 21120 21660 21774 22000 22800 22920 23104 23826 23875 24000 24448 25080 25212 26125 26400 26752 27075 27436 28500 28650 28880 29032 30400 30560 31350 31515 31768 33000 33440 33616 34295 34656 35200 36100 36290 36480 36481 36672 38000 38200 39710 39919 40128 41154 41800 42020 43320 43548 44000 45125 45600 45840 46208 47652 47750 48000 50160 50424 52250 52525 52800 54150 54435 54872 57000 57300 57760 58064 59565 60800 61120 62700 63030 63536 66000 66880 67232 68590 68951 69312 71625 72200 72580 72962 73344 75449 76000 76400 78375 79420 79838 80256 82308 83600 84040 86640 87096 88000 90250 90725 91200 91680 95304 95500 99275 100320 100848 102885 104500 105050 105600 108300 108870 109443 109744 114000 114600 115520 116128 119130 119757 122240 125400 126060 127072 132000 133760 134464 135375 137180 137902 138624 143250 144400 145160 145924 150898 152000 152800 156750 157575 158840 159676 164616 167200 168080 171475 173280 174192 176000 180500 181450 182400 182405 183360 190608 191000 198550 199595 200640 201696 205770 206853 209000 210100 216600 217740 218886 219488 226347 228000 229200 231040 232256 238260 239514 250800 252120 254144 262625 264000 268928 270750 272175 274360 275804 286500 288800 290320 291848 297825 301796 304000 305600 313500 315150 317680 319352 329232 334400 336160 342950 344755 346560 348384 361000 362900 364810 366720 377245 381216 382000 397100 399190 401280 401291 403392 411540 413706 418000 420200 433200 435480 437772 438976 452694 453625 456000 458400 464512 476520 479028 496375 501600 504240 508288 514425 525250 528000 541500 544350 547215 548720 551608 573000 577600 580640 583696 595650 598785 603592 611200 627000 630300 635360 638704 658464 668800 672320 685900 689510 693120 693139 696768 722000 725800 729620 754490 758461 762432 764000 787875 794200 798380 802582 806784 823080 827412 836000 840400 857375 866400 870960 875544 877952 905388 907250 912000 912025 916800 953040 958056 992750 997975 1003200 1008480 1028850 1034265 1050500 1083000 1088700 1094430 1097440 1103216 1131735 1146000 1155200 1161280 1167392 1191300 1197570 1203873 1207184 1254000 1260600 1270720 1277408 1310069 1316928 1344640 1360875 1371800 1379020 1386278 1393536 1444000 1451600 1459240 1489125 1508980 1516922 1524864 1528000 1575750 1588400 1596760 1605164 1646160 1654824 1672000 1680800 1714750 1723775 1732800 1741920 1751088 1810776 1814500 1824050 1833600 1886225 1906080 1916112 1985500 1995950 2006400 2006455 2016960 2057700 2068530 2079417 2101000 2166000 2177400 2188860 2194880 2206432 2263470 2275383 2292000 2322560 2334784 2382600 2395140 2407746 2414368 2508000 2521200 2541440 2554816 2572125 2620138 2633856 2721750 2736075 2743600 2758040 2772556 2888000 2903200 2918480 2978250 2993925 3017960 3033844 3056000 3151500 3176800 3193520 3210328 3292320 3309648 3344000 3361600 3429500 3447550 3465600 3465695 3483840 3502176 3621552 3629000 3648100 3772450 3792305 3812160 3832224 3930207 3971000 3991900 4012910 4033920 4115400 4137060 4158834 4202000 4332000 4354800 4377720 4389760 4412864 4526940 4550766 4560125 4584000 4669568 4765200 4790280 4815492 4828736 4989875 5016000 5042400 5109632 5144250 5171325 5240276 5443500 5472150 5487200 5516080 5545112 5658675 5776000 5806400 5836960 5956500 5987850 6019365 6035920 6067688 6303000 6353600 6387040 6420656 6550345 6584640 6619296 6723200 6859000 6895100 6931390 6967680 7004352 7243104 7258000 7296200 7544900 7584610 7624320 7624529 7664448 7860414 7942000 7983800 8025820 8230800 8274120 8317668 8404000 8618875 8664000 8709600 8755440 8825728 9053880 9101532 9120250 9168000 9431125 9530400 9580560 9630984 9657472 9979750 10032000 10032275 10084800 10288500 10342650 10397085 10480552 10887000 10944300 10974400 11032160 11090224 11317350 11376915 11612800 11673920 11913000 11975700 12038730 12071840 12135376 12606000 12707200 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41370600 41588340 41922208 43232277 43548000 43777200 44128640 44360896 45269400 45507660 45747174 47652000 47902800 48154920 48287360 48541504 50161375 50424000 51365248 51713250 51985425 52402760 52678564 54721500 54872000 55160800 55451120 56586750 56884575 57643036 58064000 58369600 59878500 60193650 60359200 60676880 60996232 62883312 63536000 63870400 64206560 65503450 65846400 65848205 66192960 66541344 68951000 69313900 70043520 72053795 72431040 72812256 72962000 75449000 75846100 76245290 76644480 77047872 78604140 79017846 79838000 80258200 82308000 82741200 83176680 83844416 86464554 86642375 87096000 87554400 88721792 90538800 91015320 91494348 94807625 95304000 95805600 96309840 97083008 98255175 100322750 100848000 103426500 103970850 104805520 105357128 109443000 109744000 110321600 110902240 113173500 113769150 114367935 115286072 116739200 119757000 120387300 120718400 121353760 121992464 125766624 127740800 128413120 131006900 131696410 132385920 133082688 137902000 138627800 144107590 144862080 144866051 145624512 145924000 150484125 150898000 151692200 152490580 154095744 157208280 158035692 159676000 160516400 163758625 164616000 165482400 166353360 167688832 172929108 173284750 174192000 175108800 181077600 182030640 182988696 189615250 190608000 190613225 191611200 192619680 196510350 197544615 200645500 206853000 207941700 209611040 210714256 216161385 218886000 220643200 221804480 226347000 227538300 228735870 230572144 239514000 240774600 241436800 242707520 243984928 250223179 251533248 256826240 259927125 262013800 263392820 266165376 275804000 277255600 284422875 288215180 289732102 291249024 291848000 300968250 301796000 303384400 304981160 314416560 316071384 319352000 321032800 327517250 329232000 329241025 330964800 332706720 345858216 346569500 350217600 360268975 362155200 364061280 365977392 379230500 381226450 383222400 385239360 393020700 395089230 401291000 413706000 415883400 419222080 421428512 432322770 434598153 437772000 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1572082800 1580356920 1605164000 1646205125 1654824000 1663533600 1685714048 1729291080 1738392612 1751088000 1801344875 1810776000 1820306400 1829886960 1844577152 1906132250 1916112000 1926196800 1965103500 1975446150 2001785432 2079417000 2096110400 2107142560 2161613850 2172990765 2218044800 2275383000 2287358700 2305721440 2317856816 2407746000 2427075200 2439849280 2502231790 2515332480 2528571072 2620138000 2633928200 2752454969 2766865728 2772556000 2859198375 2882151800 2897321020 2927819136 3002678148 3033844000 3049811600 3144165600 3160713840 3210328000 3292410250 3309648000 3327067200 3458582160 3476785224 3602689750 3621552000 3621651275 3640612800 3659773920 3753347685 3812264500 3852393600 3930207000 3950892300 4003570864 4158834000 4192220800 4214285120 4323227700 4345981530 4550766000 4574717400 4611442880 4635713632 4815492000 4879698560 4938615375 5004463580 5057142144 5240276000 5267856400 5404034625 5504909938 5533731456 5545112000 5718396750 5764303600 5794642040 6005356296 6067688000 6099623200 6255579475 6288331200 6321427680 6420656000 6584820500 6654134400 6917164320 6953570448 7205379500 7243302550 7281225600 7319547840 7506695370 7624529000 7860414000 7901784600 8007141728 8257364907 8317668000 8428570240 8646455400 8691963060 9101532000 9149434800 9222885760 9271427264 9630984000 9877230750 10008927160 10480552000 10535712800 10808069250 10864953825 11009819876 11090224000 11436793500 11528607200 11589284080 12010712592 12135376000 12199246400 12511158950 12576662400 12642855360 13169641000 13762274845 13834328640 13907140896 14410759000 14486605100 14639095680 15013390740 15249058000 15720828000 15803569200 16014283456 16514729814 16635336000 17292910800 17383926120 18108256375 18203064000 18298869600 18542854528 18766738425 19261968000 19754461500 20017854320 20961104000 21071425600 21616138500 21729907650 22019639752 22873587000 23057214400 23178568160 24021425184 24398492800 25022317900 25285710720 26339282000 27524549690 27668657280 27814281792 28821518000 28973210200 30026781480 30498116000 31277897375 31441656000 31607138400 32028566912 33029459628 33270672000 34585821600 34767852240 36216512750 36406128000 36597739200 37533476850 39508923000 40035708640 41286824535 42142851200 43232277000 43459815300 44039279504 45747174000 46114428800 46357136320 48042850368 50044635800 52678564000 54324769125 55049099380 55628563584 57643036000 57946420400 60053562960 60996232000 62555794750 62883312000 63214276800 66058919256 68811374225 69171643200 69535704480 72433025500 73195478400 75066953700 79017846000 80071417280 82573649070 86464554000 86919630600 88078559008 91494348000 92714272640 93833692125 96085700736 100089271600 105357128000 108649538250 110098198760 115286072000 115892840800 120107125920 121992464000 125111589500 126428553600 132117838512 137622748450 138343286400 139071408960 144866051000 150133907400 158035692000 160142834560 165147298140 172929108000 173839261200 176157118016 182988696000 187667384250 200178543200 206434122675 210714256000 217299076500 220196397520 230572144000 231785681600 240214251840 250223179000 264235677024 275245496900 278142817920 289732102000 300267814800 316071384000 330294596280 344056871125 345858216000 347678522400 352314236032 365977392000 375334768500 400357086400 412868245350 434598153000 440392795040 463571363200 480428503680 500446358000 528471354048 550490993800 579464204000 600535629600 632142768000 660589192560 688113742250 691716432000 695357044800 750669537000 800714172800 825736490700 869196306000 880785590080 1000892716000 1032170613375 1056942708096 1100981987600 1158928408000 1201071259200 1321178385120 1376227484500 1390714089600 1501339074000 1651472981400 1738392612000 1761571180160 2001785432000 2064341226750 2201963975200 2317856816000 2402142518400 2642356770240 2752454969000 3002678148000 3302945962800 3476785224000 4003570864000 4128682453500 4403927950400 5284713540480 5504909938000 6005356296000 6605891925600 6953570448000 8257364907000 8807855900800 11009819876000 12010712592000 13211783851200 16514729814000 22019639752000 26423567702400 33029459628000 44039279504000 66058919256000 132117838512000
- Sum of all divisors σ(n): 506980226188800
- Sum of proper divisors (its aliquot sum) s(n): 374862387676800
- 132117838512000 is an abundant number, because the sum of its proper divisors (374862387676800) is greater than itself. Its abundance is 242744549164800
Bases of 132117838512000
- Binary: 111100000101001000101001101010100111111100000002
- Hexadecimal: 0x782914D53F80
- Base-36: 1ATY3HV9MO
Squares and roots of 132117838512000
- 132117838512000 squared (1321178385120002) is 17455123253082910374144000000
- 132117838512000 cubed (1321178385120003) is 2306133155157864058958126492233728000000000
-
The
square root of 132117838512000 is 11494252.4120535997 -
The
cube root of 132117838512000 is 50931.5804952335
Scales and comparisons
How big is 132117838512000?- 132,117,838,512,000 seconds is equal to 4,200,938 years, 31 weeks, 10 hours, 40 minutes.
-
To count from 1 to 132,117,838,512,000 would take you about ten million, five hundred two thousand, three hundred forty-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 132117838512000 cubic inches would be around 4244.3 feet tall.
Recreational maths with 132117838512000
- 132117838512000 backwards is 000215838711231
- The number of decimal digits it has is: 15
- The sum of 132117838512000's digits is 42
- More coming soon!
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"Number 132117838512000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 132117838512000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/132117838512000/
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The information we have on file for 132117838512000 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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