2137878273024000
2,137,878,273,024,000 is an even composite number composed of six prime numbers multiplied together.
2137878273024000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 2137878273024000:
213 × 32 × 53 × 133 × 17 × 6211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 6211)See below for interesting mathematical facts about the number 2137878273024000 from the Numbermatics database.
Names of 2137878273024000
- Cardinal: 2137878273024000 can be written as Two quadrillion, one hundred thirty-seven trillion, eight hundred seventy-eight billion, two hundred seventy-three million, twenty-four thousand.
Scientific notation
- Scientific notation: 2.137878273024 × 1015
Factors of 2137878273024000
Divisors of 2137878273024000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 125 128 130 136 144 150 153 156 160 169 170 180 192 195 200 204 208 221 225 234 240 250 255 256 260 272 288 300 306 312 320 325 338 340 360 375 384 390 400 408 416 425 442 450 468 480 500 507 510 512 520 544 576 585 600 612 624 640 650 663 676 680 720 750 765 768 780 800 816 832 845 850 884 900 936 960 975 1000 1014 1020 1024 1040 1088 1105 1125 1152 1170 1200 1224 1248 1275 1280 1300 1326 1352 1360 1440 1500 1521 1530 1536 1560 1600 1625 1632 1664 1690 1700 1768 1800 1872 1920 1950 1989 2000 2028 2040 2048 2080 2125 2176 2197 2210 2250 2304 2340 2400 2448 2496 2535 2550 2560 2600 2652 2704 2720 2873 2880 2925 3000 3042 3060 3072 3120 3200 3250 3264 3315 3328 3380 3400 3536 3600 3744 3825 3840 3900 3978 4000 4056 4080 4096 4160 4225 4250 4352 4394 4420 4500 4608 4680 4800 4875 4896 4992 5070 5100 5120 5200 5304 5408 5440 5525 5746 5760 5850 6000 6084 6120 6144 6211 6240 6375 6400 6500 6528 6591 6630 6656 6760 6800 7072 7200 7488 7605 7650 7680 7800 7956 8000 8112 8160 8192 8320 8450 8500 8619 8704 8788 8840 9000 9216 9360 9600 9750 9792 9945 9984 10140 10200 10240 10400 10608 10816 10880 10985 11050 11492 11520 11700 12000 12168 12240 12288 12422 12480 12675 12750 12800 13000 13056 13182 13260 13312 13520 13600 14144 14365 14400 14625 14976 15210 15300 15360 15600 15912 16000 16224 16320 16575 16640 16900 17000 17238 17408 17576 17680 18000 18432 18633 18720 19125 19200 19500 19584 19773 19890 19968 20280 20400 20480 20800 21125 21216 21632 21760 21970 22100 22984 23040 23400 24000 24336 24480 24576 24844 24960 25350 25500 25600 25857 26000 26112 26364 26520 26624 27040 27200 27625 28288 28730 28800 29250 29952 30420 30600 30720 31055 31200 31824 32000 32448 32640 32955 33150 33280 33800 34000 34476 34816 35152 35360 36000 36864 37266 37349 37440 38025 38250 38400 39000 39168 39546 39780 39936 40560 40800 40960 41600 42250 42432 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245620206000 248042496000 251515090944 253003345920 256956523200 260971468875 261994886400 263545152000 267234784128 268712704000 274086958080 278369566800 279461212160 281114828800 285507248000 296927537920 302301792000 314393863680 316254182400 321195654000 322455244800 324363264000 327493608000 328904349696 334043480160 335353454592 342608697600 344208384000 347961958500 349326515200 351393536000 356313045504 365449277440 371159422400 372063744000 386946293760 392992329600 395317728000 403069056000 411130437120 417554350200 419191818240 421672243200 428260872000 436658144000 438539132928 445391306880 456811596800 463949278000 475084060672 483682867200 486544896000 491240412000 503030181888 506006691840 513913046400 521942937750 523989772800 527090304000 534469568256 537425408000 548173916160 556739133600 558922424320 571014496000 593855075840 604603584000 628787727360 632508364800 642391308000 644910489600 654987216000 657808699392 668086960320 685217395200 695923917000 698653030400 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2672347841280 2740869580800 2783695668000 2794612121600 2850504364032 2969275379200 3143938636800 3162541824000 3224552448000 3289043496960 3340434801600 3426086976000 3493265152000 3563130455040 3654492774400 3711594224000 3929923296000 4111304371200 4175543502000 4191918182400 4216722432000 4275756546048 4453913068800 4568115968000 4750840606720 4836828672000 5030301818880 5139130464000 5239897728000 5344695682560 5481739161600 5567391336000 5701008728064 5938550758400 6287877273600 6325083648000 6578086993920 6680869603200 6852173952000 6986530304000 7126260910080 7423188448000 7859846592000 8222608742400 8351087004000 8383836364800 8551513092096 8907826137600 9136231936000 9501681213440 9673657344000 10278260928000 10479795456000 10689391365120 10963478323200 11134782672000 11877101516800 12575754547200 12650167296000 13361739206400 13704347904000 13973060608000 14252521820160 14846376896000 15719693184000 16445217484800 16702174008000 17103026184192 17815652275200 18272463872000 20556521856000 20959590912000 21378782730240 22269565344000 23754203033600 25151509094400 26723478412800 27408695808000 28505043640320 29692753792000 31439386368000 32890434969600 33404348016000 35631304550400 41113043712000 41919181824000 42757565460480 44539130688000 47508406067200 53446956825600 54817391616000 59385507584000 62878772736000 66808696032000 71262609100800 82226087424000 85515130920960 89078261376000 106893913651200 118771015168000 125757545472000 133617392064000 142525218201600 164452174848000 178156522752000 213787827302400 237542030336000 267234784128000 356313045504000 427575654604800 534469568256000 712626091008000 1068939136512000 2137878273024000
- Sum of all divisors σ(n): 8841832658305920
- Sum of proper divisors (its aliquot sum) s(n): 6703954385281920
- 2137878273024000 is an abundant number, because the sum of its proper divisors (6703954385281920) is greater than itself. Its abundance is 4566076112257920
Bases of 2137878273024000
- Binary: 1111001100001100011100100110000100101100000000000002
- Hexadecimal: 0x7986393096000
- Base-36: L1TBPXDKW0
Squares and roots of 2137878273024000
- 2137878273024000 squared (21378782730240002) is 4570523510268080686104576000000
- 2137878273024000 cubed (21378782730240003) is 9771222908947514668480339972743757824000000000
-
The
square root of 2137878273024000 is 46237195.7737923375 -
The
cube root of 2137878273024000 is 128823.2716665655
Scales and comparisons
How big is 2137878273024000?- 2,137,878,273,024,000 seconds is equal to 67,977,916 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 2,137,878,273,024,000 would take you about two hundred three million, nine hundred thirty-three thousand, seven hundred forty-eight 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 2137878273024000 cubic inches would be around 10735.3 feet tall.
Recreational maths with 2137878273024000
- 2137878273024000 backwards is 0004203728787312
- The number of decimal digits it has is: 16
- The sum of 2137878273024000's digits is 54
- More coming soon!
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"Number 2137878273024000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 2137878273024000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/2137878273024000/
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The information we have on file for 2137878273024000 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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