137384168832000
137,384,168,832,000 is an even composite number composed of seven prime numbers multiplied together.
137384168832000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 137384168832000:
210 × 32 × 53 × 17 × 19 × 421 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 19 × 421 × 877)See below for interesting mathematical facts about the number 137384168832000 from the Numbermatics database.
Names of 137384168832000
- Cardinal: 137384168832000 can be written as One hundred thirty-seven trillion, three hundred eighty-four billion, one hundred sixty-eight million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.37384168832 × 1014
Factors of 137384168832000
Divisors of 137384168832000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 64 68 72 75 76 80 85 90 95 96 100 102 114 120 125 128 136 144 150 152 153 160 170 171 180 190 192 200 204 225 228 240 250 255 256 272 285 288 300 304 306 320 323 340 342 360 375 380 384 400 408 421 425 450 456 475 480 500 510 512 544 570 576 600 608 612 640 646 680 684 720 750 760 765 768 800 816 842 850 855 877 900 912 950 960 969 1000 1020 1024 1088 1125 1140 1152 1200 1216 1224 1263 1275 1280 1292 1360 1368 1425 1440 1500 1520 1530 1536 1600 1615 1632 1684 1700 1710 1754 1800 1824 1900 1920 1938 2000 2040 2105 2125 2176 2250 2280 2304 2375 2400 2432 2448 2526 2550 2560 2584 2631 2720 2736 2850 2880 2907 3000 3040 3060 3072 3200 3230 3264 3368 3400 3420 3508 3600 3648 3789 3800 3825 3840 3876 4000 4080 4210 4250 4275 4352 4385 4500 4560 4608 4750 4800 4845 4864 4896 5052 5100 5120 5168 5262 5440 5472 5700 5760 5814 6000 6080 6120 6315 6375 6400 6460 6528 6736 6800 6840 7016 7125 7157 7200 7296 7578 7600 7650 7680 7752 7893 7999 8000 8075 8160 8420 8500 8550 8704 8770 9000 9120 9216 9500 9600 9690 9728 9792 10104 10200 10336 10524 10525 10880 10944 11400 11520 11628 12000 12160 12240 12630 12750 12800 12920 13056 13155 13472 13600 13680 14032 14250 14314 14400 14535 14592 14909 15156 15200 15300 15360 15504 15786 15998 16000 16150 16320 16663 16840 17000 17100 17408 17540 18000 18240 18945 19000 19125 19200 19380 19456 19584 20208 20400 20672 21048 21050 21375 21471 21760 21888 21925 22800 23040 23256 23997 24000 24225 24320 24480 25260 25500 25600 25840 26112 26310 26944 27200 27360 28064 28500 28628 28800 29070 29184 29818 30312 30400 30600 31008 31572 31575 31996 32000 32300 32640 33326 33680 34000 34200 35080 35785 36000 36480 37890 38000 38250 38400 38760 39168 39465 39995 40375 40416 40800 41344 42096 42100 42750 42942 43520 43776 43850 44727 45600 46080 46512 47994 48000 48450 48640 48960 49989 50520 51000 51680 52224 52620 52625 53888 54400 54720 56128 57000 57256 57600 58140 58368 59636 60624 60800 61200 62016 63144 63150 63992 64000 64413 64600 65280 65775 66652 67360 68000 68400 70160 71570 71991 72000 72675 72960 74545 75780 76000 76500 76800 77520 78336 78930 79990 80750 80832 81600 82688 83315 84192 84200 85500 85884 87040 87552 87700 89454 91200 93024 94725 95988 96000 96900 97280 97920 99978 101040 102000 103360 105240 105250 107355 107776 108800 109440 109625 112256 114000 114512 115200 116280 119272 119985 121125 121248 121600 122400 124032 126288 126300 127984 128000 128826 129200 130560 131550 133304 134181 134720 135983 136000 136800 140320 143140 143982 144000 145350 145920 149090 149967 151560 152000 153000 155040 156672 157860 157875 159980 161500 161664 163200 165376 166630 168384 168400 171000 171768 175104 175400 178908 178925 182400 186048 189450 191976 192000 193800 195840 197325 199956 199975 202080 204000 206720 210480 210500 214710 215552 217600 218880 219250 223635 224512 228000 229024 230400 232560 238544 239970 242250 242496 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56490201000 57243403680 57845965824 59628545500 60256214400 61059630592 63136107000 64651373568 65265638400 67345180800 68692084416 70889664000 71554254600 72307457280 75320268000 76324538240 78326208000 80341619200 80814216960 81582048000 84181476000 85067596800 85865105520 89442818250 89793574400 90384321600 91589445888 95405672800 96409943040 100427024000 101017771200 106334496000 107331381900 107752289280 108776064000 112241968000 112980402000 114486807360 119257091000 120512428800 122119261184 126272214000 134164227375 134690361600 137384168832 141779328000 143108509200 144614914560 150640536000 152649076480 156652416000 160683238400 161628433920 163164096000 168362952000 171730211040 178885636500 179587148800 180768643200 183178891776 190811345600 200854048000 202035542400 212668992000 214662763800 224483936000 225960804000 228973614720 238514182000 241024857600 252544428000 268328454750 269380723200 274768337664 286217018400 289229829120 301281072000 305298152960 323256867840 326328192000 336725904000 343460422080 357771273000 361537286400 366357783552 381622691200 401708096000 404071084800 425337984000 429325527600 448967872000 451921608000 457947229440 477028364000 482049715200 505088856000 536656909500 538761446400 549536675328 572434036800 602562144000 610596305920 673451808000 686920844160 715542546000 723074572800 763245382400 803416192000 808142169600 858651055200 897935744000 903843216000 915894458880 954056728000 1010177712000 1073313819000 1099073350656 1144868073600 1205124288000 1346903616000 1373841688320 1431085092000 1446149145600 1526490764800 1616284339200 1717302110400 1807686432000 1831788917760 1908113456000 2020355424000 2146627638000 2289736147200 2410248576000 2693807232000 2747683376640 2862170184000 3052981529600 3434604220800 3615372864000 3816226912000 4040710848000 4293255276000 4579472294400 5495366753280 5724340368000 6869208441600 7230745728000 7632453824000 8081421696000 8586510552000 9158944588800 11448680736000 13738416883200 15264907648000 17173021104000 22897361472000 27476833766400 34346042208000 45794722944000 68692084416000 137384168832000
- Sum of all divisors σ(n): 553726439660160
- Sum of proper divisors (its aliquot sum) s(n): 416342270828160
- 137384168832000 is an abundant number, because the sum of its proper divisors (416342270828160) is greater than itself. Its abundance is 278958101996160
Bases of 137384168832000
- Binary: 111110011110011001111101001010010111100000000002
- Hexadecimal: 0x7CF33E94BC00
- Base-36: 1CP5EYYV40
Squares and roots of 137384168832000
- 137384168832000 squared (1373841688320002) is 18874409845659480244224000000
- 137384168832000 cubed (1373841688320003) is 2593045108840445096253838608826368000000000
-
The
square root of 137384168832000 is 11721099.3013454161 -
The
cube root of 137384168832000 is 51599.5083421695
Scales and comparisons
How big is 137384168832000?- 137,384,168,832,000 seconds is equal to 4,368,391 years, 31 weeks, 5 days, 16 hours.
-
To count from 1 to 137,384,168,832,000 would take you about ten million, nine hundred twenty thousand, nine hundred seventy-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 137384168832000 cubic inches would be around 4300 feet tall.
Recreational maths with 137384168832000
- 137384168832000 backwards is 000238861483731
- The number of decimal digits it has is: 15
- The sum of 137384168832000's digits is 54
- More coming soon!
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The information we have on file for 137384168832000 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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