2138309537457766400
2,138,309,537,457,766,400 is an even composite number composed of six prime numbers multiplied together.
2138309537457766400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and eighty-eight divisors.
Prime factorization of 2138309537457766400:
228 × 52 × 7 × 13 × 612 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 61 × 61 × 941)See below for interesting mathematical facts about the number 2138309537457766400 from the Numbermatics database.
Names of 2138309537457766400
- Cardinal: 2138309537457766400 can be written as Two quintillion, one hundred thirty-eight quadrillion, three hundred nine trillion, five hundred thirty-seven billion, four hundred fifty-seven million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.1383095374577664 × 1018
Factors of 2138309537457766400
Divisors of 2138309537457766400
- Number of divisors d(n): 2088
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 61 64 65 70 80 91 100 104 112 122 128 130 140 160 175 182 200 208 224 244 256 260 280 305 320 325 350 364 400 416 427 448 455 488 512 520 560 610 640 650 700 728 793 800 832 854 896 910 941 976 1024 1040 1120 1220 1280 1300 1400 1456 1525 1586 1600 1664 1708 1792 1820 1882 1952 2048 2080 2135 2240 2275 2440 2560 2600 2800 2912 3050 3172 3200 3328 3416 3584 3640 3721 3764 3904 3965 4096 4160 4270 4480 4550 4705 4880 5120 5200 5551 5600 5824 6100 6344 6400 6587 6656 6832 7168 7280 7442 7528 7808 7930 8192 8320 8540 8960 9100 9410 9760 10240 10400 10675 11102 11200 11648 12200 12233 12688 12800 13174 13312 13664 14336 14560 14884 15056 15616 15860 16384 16640 17080 17920 18200 18605 18820 19520 19825 20480 20800 21350 22204 22400 23296 23525 24400 24466 25376 25600 26047 26348 26624 27328 27755 28672 29120 29768 30112 31232 31720 32768 32935 33280 34160 35840 36400 37210 37640 39040 39650 40960 41600 42700 44408 44800 46592 47050 48373 48800 48932 50752 51200 52094 52696 53248 54656 55510 57344 57401 58240 59536 60224 61165 62464 63440 65536 65870 66560 68320 71680 72800 74420 75280 78080 79300 81920 83200 85400 85631 88816 89600 93025 93184 94100 96746 97600 97864 101504 102400 104188 105392 106496 109312 111020 114688 114802 116480 119072 120448 122330 124928 126880 130235 131072 131740 133120 136640 138775 143360 145600 148840 150560 156160 158600 163840 164675 166400 170800 171262 177632 179200 186050 186368 188200 193492 195200 195728 203008 204800 208376 210784 212992 218624 222040 229376 229604 232960 238144 240896 241865 244660 249856 253760 260470 262144 263480 266240 273280 277550 286720 287005 291200 297680 301120 305825 312320 317200 327680 329350 332800 338611 341600 342524 355264 358400 372100 372736 376400 386984 390400 391456 401807 406016 409600 416752 421568 425984 428155 437248 444080 458752 459208 465920 476288 481792 483730 489320 499712 507520 520940 524288 526960 532480 546560 555100 573440 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15408463609856 15649220853760 16063022366720 16231285391360 16314007091200 16418854666240 16853007073280 17116335308800 17479845806080 17752968396800 17958122291200 18357739847680 18626065203200 18644579532800 19260579512320 19561526067200 20078777958400 20289106739200 20523568332800 20881929076736 21066258841600 21849807257600 21908909195264 22102304358400 22723799547904 22947174809600 22986396532736 23865061801984 24075724390400 24971208294400 25038753366016 25700835786752 26102411345920 26964811317248 27386136494080 28404749434880 28732995665920 29372383756288 29831327252480 31298441707520 32126044733440 32462570782720 32628014182400 33706014146560 34232670617600 34959691612160 35505936793600 35916244582400 36715479695360 37252130406400 37289159065600 38521159024640 39123052134400 40157555916800 40578213478400 41047136665600 41763858153472 42132517683200 43699614515200 43817818390528 44204608716800 45447599095808 45894349619200 47730123603968 48151448780800 50077506732032 51401671573504 52204822691840 53929622634496 54772272988160 56809498869760 57465991331840 58744767512576 59662654504960 62596883415040 64252089466880 64925141565440 65256028364800 67412028293120 68465341235200 71011873587200 71832489164800 73430959390720 74578318131200 77042318049280 78246104268800 80315111833600 81156426956800 82094273331200 83527716306944 84265035366400 87399229030400 87635636781056 90895198191616 91788699238400 95460247207936 96302897561600 100155013464064 102803343147008 104409645383680 107859245268992 109544545976320 113618997739520 114931982663680 117489535025152 119325309009920 125193766830080 128504178933760 130512056729600 134824056586240 136930682470400 142023747174400 143664978329600 146861918781440 149156636262400 156492208537600 160630223667200 162312853913600 167055432613888 168530070732800 174798458060800 175271273562112 183577398476800 190920494415872 192605795123200 200310026928128 205606686294016 208819290767360 219089091952640 227237995479040 234979070050304 238650618019840 250387533660160 257008357867520 261024113459200 269648113172480 273861364940800 284047494348800 287329956659200 293723837562880 298313272524800 312984417075200 321260447334400 324625707827200 334110865227776 337060141465600 350542547124224 367154796953600 381840988831744 385211590246400 411213372588032 417638581534720 438178183905280 454475990958080 469958140100608 477301236039680 500775067320320 514016715735040 522048226918400 539296226344960 547722729881600 568094988697600 574659913318400 587447675125760 596626545049600 625968834150400 642520894668800 668221730455552 674120282931200 701085094248448 734309593907200 763681977663488 822426745176064 835277163069440 876356367810560 939916280201216 954602472079360 1001550134640640 1028033431470080 1044096453836800 1095445459763200 1136189977395200 1174895350251520 1193253090099200 1251937668300800 1285041789337600 1336443460911104 1348240565862400 1402170188496896 1468619187814400 1527363955326976 1644853490352128 1670554326138880 1752712735621120 1909204944158720 2056066862940160 2088192907673600 2190890919526400 2272379954790400 2349790700503040 2386506180198400 2503875336601600 2570083578675200 2672886921822208 2696481131724800 2937238375628800 3054727910653952 3289706980704256 3341108652277760 3505425471242240 3818409888317440 4112133725880320 4176385815347200 4381781839052800 4699581401006080 4773012360396800 5007750673203200 5140167157350400 5345773843644416 5874476751257600 6109455821307904 6579413961408512 6682217304555520 7010850942484480 7636819776634880 8224267451760640 8352771630694400 8763563678105600 9546024720793600 10280334314700800 10691547687288832 11748953502515200 12218911642615808 13364434609111040 15273639553269760 16448534903521280 16705543261388800 17527127356211200 19092049441587200 20560668629401600 21383095374577664 23497907005030400 26728869218222080 30547279106539520 32897069807042560 33411086522777600 35054254712422400 38184098883174400 41121337258803200 42766190749155328 53457738436444160 61094558213079040 66822173045555200 76368197766348800 82242674517606400 85532381498310656 106915476872888320 133644346091110400 152736395532697600 164485349035212800 213830953745776640 267288692182220800 305472791065395200 427661907491553280 534577384364441600 1069154768728883200 2138309537457766400
- Sum of all divisors σ(n): 6642580619321049312
- Sum of proper divisors (its aliquot sum) s(n): 4504271081863282912
- 2138309537457766400 is an abundant number, because the sum of its proper divisors (4504271081863282912) is greater than itself. Its abundance is 2365961544405516512
Bases of 2138309537457766400
- Binary: 11101101011001100110100110001111100000000000000000000000000002
- Hexadecimal: 0x1DACCD31F0000000
- Base-36: G8UNGWCE6BY8
Squares and roots of 2138309537457766400
- 2138309537457766400 squared (21383095374577664002) is 4572367677982846886885863676968960000
- 2138309537457766400 cubed (21383095374577664003) is 9777137414594342712065369612105563447268363730944000000
-
The
square root of 2138309537457766400 is 1462295981.4817814099 -
The
cube root of 2138309537457766400 is 1288319.3339451715
Scales and comparisons
How big is 2138309537457766400?- 2,138,309,537,457,766,400 seconds is equal to 67,991,629,065 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 2,138,309,537,457,766,400 would take you about two hundred thirty-seven billion, nine hundred seventy million, seven hundred one thousand, seven hundred twenty-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 2138309537457766400 cubic inches would be around 107359.9 feet tall.
Recreational maths with 2138309537457766400
- 2138309537457766400 backwards is 0046677547359038312
- 2138309537457766400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 2138309537457766400's digits is 80
- More coming soon!
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"Number 2138309537457766400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 2138309537457766400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/2138309537457766400/
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The information we have on file for 2138309537457766400 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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