20438704816128000
20,438,704,816,128,000 is an even composite number composed of six prime numbers multiplied together.
20438704816128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, five hundred sixty divisors.
Prime factorization of 20438704816128000:
218 × 34 × 53 × 192 × 83 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 83 × 257)See below for interesting mathematical facts about the number 20438704816128000 from the Numbermatics database.
Names of 20438704816128000
- Cardinal: 20438704816128000 can be written as Twenty quadrillion, four hundred thirty-eight trillion, seven hundred four billion, eight hundred sixteen million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.0438704816128 × 1016
Factors of 20438704816128000
Divisors of 20438704816128000
- Number of divisors d(n): 4560
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 83 90 95 96 100 108 114 120 125 128 135 144 150 152 160 162 166 171 180 190 192 200 216 225 228 240 249 250 256 257 270 285 288 300 304 320 324 332 342 360 361 375 380 384 400 405 415 432 450 456 475 480 498 500 512 513 514 540 570 576 600 608 640 648 664 675 684 720 722 747 750 760 768 771 800 810 830 855 864 900 912 950 960 996 1000 1024 1026 1028 1080 1083 1125 1140 1152 1200 1216 1245 1280 1285 1296 1328 1350 1368 1425 1440 1444 1494 1500 1520 1536 1539 1542 1577 1600 1620 1660 1710 1728 1800 1805 1824 1900 1920 1992 2000 2025 2048 2052 2056 2075 2160 2166 2241 2250 2280 2304 2313 2375 2400 2432 2490 2560 2565 2570 2592 2656 2700 2736 2850 2880 2888 2988 3000 3040 3072 3078 3084 3154 3200 3240 3249 3320 3375 3420 3456 3600 3610 3648 3735 3800 3840 3855 3984 4000 4050 4096 4104 4112 4150 4275 4320 4332 4482 4500 4560 4608 4626 4731 4750 4800 4864 4883 4980 5120 5130 5140 5184 5312 5400 5415 5472 5700 5760 5776 5976 6000 6080 6144 6156 6168 6225 6308 6400 6425 6480 6498 6640 6723 6750 6840 6912 6939 7125 7200 7220 7296 7470 7600 7680 7695 7710 7885 7968 8000 8100 8192 8208 8224 8300 8550 8640 8664 8964 9000 9025 9120 9216 9252 9462 9500 9600 9728 9747 9766 9960 10125 10240 10260 10280 10368 10375 10624 10800 10830 10944 11205 11400 11520 11552 11565 11952 12000 12160 12288 12312 12336 12450 12616 12800 12825 12850 12960 12996 13280 13446 13500 13680 13824 13878 14193 14250 14400 14440 14592 14649 14940 15200 15360 15390 15420 15770 15936 16000 16200 16245 16384 16416 16448 16600 17100 17280 17328 17928 18000 18050 18240 18432 18504 18675 18924 19000 19200 19275 19456 19494 19532 19920 20250 20480 20520 20560 20736 20750 20817 21248 21331 21375 21600 21660 21888 22410 22800 23040 23104 23130 23655 23904 24000 24320 24415 24576 24624 24672 24900 25232 25600 25650 25700 25920 25992 26560 26892 27000 27075 27360 27648 27756 28386 28500 28800 28880 29184 29241 29298 29880 29963 30400 30720 30780 30840 31125 31540 31872 32000 32125 32400 32490 32768 32832 32896 33200 33615 34200 34560 34656 34695 35856 36000 36100 36480 36864 37008 37350 37848 38000 38400 38475 38550 38912 38988 39064 39425 39840 40500 40960 41040 41120 41472 41500 41634 42496 42579 42662 42750 43200 43320 43776 43947 44820 45125 45600 46080 46208 46260 47310 47808 48000 48640 48735 48830 49152 49248 49344 49800 50464 51200 51300 51400 51840 51984 53120 53784 54000 54150 54720 55296 55512 56025 56772 57000 57600 57760 57825 58368 58482 58596 59760 59926 60800 61440 61560 61680 62250 63080 63744 63993 64000 64125 64250 64800 64980 65536 65664 65792 66400 67230 68400 69120 69312 69390 70965 71712 72000 72200 72960 73245 73728 74016 74700 75696 76000 76800 76950 77100 77824 77976 78128 78850 79680 81000 81225 81920 82080 82240 82944 83000 83268 84992 85158 85324 85500 86400 86640 87552 87894 89640 89889 90250 91200 92160 92416 92520 92777 93375 94620 95616 96000 96375 97280 97470 97660 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2359037952000 2365590835200 2390491791360 2462494556160 2485251072000 2490095616000 2494959084000 2523296890880 2554838102016 2565098496000 2592099532800 2650934476800 2656101990400 2661289689600 2689303265280 2736105062400 2801357568000 2830845542400 2838709002240 2868590149632 2945482752000 2956988544000 2988114739200 3027956269056 3040116736000 3078118195200 3145383936000 3154121113600 3181121372160 3193547627520 3240124416000 3283326074880 3313668096000 3320127488000 3326612112000 3361629081600 3406450802688 3420131328000 3538556928000 3548386252800 3585737687040 3735143424000 3774460723200 3784945336320 3847647744000 3942651392000 3976401715200 3984152985600 3991934534400 4104157593600 4185686016000 4202036352000 4258063503360 4302885224448 4320165888000 4418224128000 4435482816000 4482172108800 4541934403584 4560175104000 4718075904000 4731181670400 4780983582720 4924989112320 4970502144000 4980191232000 4989918168000 5046593781760 5109676204032 5130196992000 5301868953600 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15139781345280 15390590976000 15770605568000 15905606860800 15967738137600 16416630374400 16808145408000 17032254013440 17741931264000 17928688435200 18167737614336 18872303616000 18924726681600 19882008576000 19920764928000 19959672672000 20438704816128 20520787968000 21290317516800 21514426122240 22410860544000 22709672017920 23655908352000 23904917913600 24624945561600 25232968908800 25548381020160 26509344768000 26612896896000 26893032652800 27251606421504 27361050624000 28308455424000 28387090022400 29881147392000 30279562690560 30781181952000 31541211136000 31935476275200 33616290816000 34064508026880 35483862528000 35857376870400 37849453363200 39764017152000 39841529856000 39919345344000 40877409632256 41041575936000 42580635033600 43028852244480 44821721088000 45419344035840 47311816704000 49249891123200 50465937817600 51096762040320 53225793792000 53786065305600 54503212843008 56616910848000 56774180044800 59762294784000 61562363904000 63082422272000 63870952550400 67232581632000 68129016053760 70967725056000 71714753740800 75698906726400 79528034304000 79838690688000 81754819264512 82083151872000 85161270067200 89643442176000 90838688071680 94623633408000 102193524080640 106451587584000 107572130611200 113548360089600 119524589568000 123124727808000 126164844544000 127741905100800 134465163264000 136258032107520 141935450112000 151397813452800 159677381376000 163509638529024 170322540134400 179286884352000 189247266816000 204387048161280 212903175168000 215144261222400 227096720179200 246249455616000 252329689088000 255483810201600 268930326528000 272516064215040 283870900224000 319354762752000 340645080268800 358573768704000 378494533632000 408774096322560 425806350336000 454193440358400 510967620403200 537860653056000 567741800448000 638709525504000 681290160537600 756989067264000 817548192645120 851612700672000 1021935240806400 1075721306112000 1135483600896000 1277419051008000 1362580321075200 1703225401344000 2043870481612800 2270967201792000 2554838102016000 3406450802688000 4087740963225600 5109676204032000 6812901605376000 10219352408064000 20438704816128000
- Sum of all divisors σ(n): 81715233425009184
- Sum of proper divisors (its aliquot sum) s(n): 61276528608881184
- 20438704816128000 is an abundant number, because the sum of its proper divisors (61276528608881184) is greater than itself. Its abundance is 40837823792753184
Bases of 20438704816128000
- Binary: 10010001001110011100100110011000011110000000000000000002
- Hexadecimal: 0x489CE4CC3C0000
- Base-36: 5L8WZDBSW00
Squares and roots of 20438704816128000
- 20438704816128000 squared (204387048161280002) is 417740654560813902288912384000000
- 20438704816128000 cubed (204387048161280003) is 8538077928264570273375931145755822129152000000000
-
The
square root of 20438704816128000 is 142963998.3217033561 -
The
cube root of 20438704816128000 is 273412.1377040765
Scales and comparisons
How big is 20438704816128000?- 20,438,704,816,128,000 seconds is equal to 649,887,592 years, 4 weeks, 4 days.
-
To count from 1 to 20,438,704,816,128,000 would take you about one billion, nine hundred forty-nine million, six hundred sixty-two thousand, seven hundred seventy-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 20438704816128000 cubic inches would be around 22784.3 feet tall.
Recreational maths with 20438704816128000
- 20438704816128000 backwards is 00082161840783402
- 20438704816128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20438704816128000's digits is 54
- More coming soon!
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"Number 20438704816128000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 20438704816128000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/20438704816128000/
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The information we have on file for 20438704816128000 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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