48948876288000
48,948,876,288,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48948876288000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1792 divisors.
48948876288000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 48948876288000:
213 × 33 × 53 × 13 × 17 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 8011)See below for interesting mathematical facts about the number 48948876288000 from the Numbermatics database.
Names of 48948876288000
- Cardinal: 48948876288000 can be written as Forty-eight trillion, nine hundred forty-eight billion, eight hundred seventy-six million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.8948876288 × 1013
Factors of 48948876288000
Divisors of 48948876288000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 170 180 192 195 200 204 208 216 221 225 234 240 250 255 256 260 270 272 288 300 306 312 320 325 340 351 360 375 384 390 400 408 416 425 432 442 450 459 468 480 500 510 512 520 540 544 576 585 600 612 624 640 650 663 675 680 702 720 750 765 768 780 800 816 832 850 864 884 900 918 936 960 975 1000 1020 1024 1040 1080 1088 1105 1125 1152 1170 1200 1224 1248 1275 1280 1300 1326 1350 1360 1404 1440 1500 1530 1536 1560 1600 1625 1632 1664 1700 1728 1755 1768 1800 1836 1872 1920 1950 1989 2000 2040 2048 2080 2125 2160 2176 2210 2250 2295 2304 2340 2400 2448 2496 2550 2560 2600 2652 2700 2720 2808 2880 2925 3000 3060 3072 3120 3200 3250 3264 3315 3328 3375 3400 3456 3510 3536 3600 3672 3744 3825 3840 3900 3978 4000 4080 4096 4160 4250 4320 4352 4420 4500 4590 4608 4680 4800 4875 4896 4992 5100 5120 5200 5304 5400 5440 5525 5616 5760 5850 5967 6000 6120 6144 6240 6375 6400 6500 6528 6630 6656 6750 6800 6912 7020 7072 7200 7344 7488 7650 7680 7800 7956 8000 8011 8160 8192 8320 8500 8640 8704 8775 8840 9000 9180 9216 9360 9600 9750 9792 9945 9984 10200 10240 10400 10608 10800 10880 11050 11232 11475 11520 11700 11934 12000 12240 12288 12480 12750 12800 13000 13056 13260 13312 13500 13600 13824 14040 14144 14400 14625 14688 14976 15300 15360 15600 15912 16000 16022 16320 16575 16640 17000 17280 17408 17550 17680 18000 18360 18432 18720 19125 19200 19500 19584 19890 19968 20400 20480 20800 21216 21600 21760 22100 22464 22950 23040 23400 23868 24000 24033 24480 24576 24960 25500 25600 26000 26112 26520 26624 27000 27200 27625 27648 28080 28288 28800 29250 29376 29835 29952 30600 30720 31200 31824 32000 32044 32640 33150 33280 34000 34560 34816 35100 35360 36000 36720 36864 37440 38250 38400 39000 39168 39780 39936 40055 40800 40960 41600 42432 43200 43520 43875 44200 44928 45900 46080 46800 47736 48000 48066 48960 49725 49920 51000 51200 52000 52224 53040 53248 54000 54400 55250 55296 56160 56576 57375 57600 58500 58752 59670 59904 61200 61440 62400 63648 64000 64088 65280 66300 66560 68000 69120 69632 70200 70720 72000 72099 73440 73728 74880 76500 76800 78000 78336 79560 79872 80110 81600 82875 83200 84864 86400 87040 87750 88400 89856 91800 92160 93600 95472 96000 96132 97920 99450 99840 102000 102400 104000 104143 104448 106080 106496 108000 108800 110500 110592 112320 113152 114750 115200 117000 117504 119340 119808 120165 122400 122880 124800 127296 128000 128176 130560 132600 133120 136000 136187 138240 139264 140400 141440 144000 144198 146880 149175 149760 153000 153600 156000 156672 159120 159744 160220 163200 165750 166400 169728 172800 174080 175500 176800 179712 183600 184320 187200 190944 192000 192264 195840 198900 199680 200275 204000 204800 208000 208286 208896 212160 216000 216297 217600 221000 221184 224640 226304 229500 230400 234000 235008 238680 239616 240330 244800 248625 249600 254592 256000 256352 261120 265200 266240 272000 272374 276480 280800 282880 288000 288396 293760 298350 299520 306000 307200 312000 312429 313344 318240 319488 320440 326400 331500 332800 339456 345600 348160 351000 353600 359424 360495 367200 368640 374400 381888 384000 384528 391680 397800 399360 400550 408000 408561 416000 416572 417792 424320 432000 432594 435200 442000 449280 452608 459000 460800 468000 470016 477360 479232 480660 489600 497250 499200 509184 512000 512704 520715 522240 530400 532480 544000 544748 552960 561600 565760 576000 576792 587520 596700 599040 600825 612000 614400 624000 624858 626688 636480 640880 652800 663000 665600 678912 680935 691200 696320 702000 707200 718848 720990 734400 745875 748800 763776 768000 769056 783360 795600 798720 801100 816000 817122 832000 833144 848640 864000 865188 870400 884000 898560 905216 918000 921600 936000 937287 940032 954720 958464 961320 979200 994500 998400 1001375 1018368 1024000 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3594240 3604950 3672000 3677049 3744000 3749148 3760128 3818880 3845280 3916800 3978000 3993600 4005500 4073472 4085610 4101632 4165720 4243200 4325940 4352000 4357984 4492800 4526080 4608000 4614336 4686435 4700160 4773600 4792320 4806600 4896000 4902732 4992000 4998864 5091840 5127040 5207150 5222400 5304000 5311293 5407425 5431296 5447480 5529600 5616000 5623722 5657600 5767920 5875200 5967000 5990400 6008250 6110208 6128415 6152448 6248580 6266880 6364800 6408800 6528000 6536976 6656000 6665152 6789120 6809350 6912000 6921504 7072000 7081724 7188480 7209900 7344000 7354098 7488000 7498296 7637760 7690560 7810725 7833600 7956000 7987200 8011000 8146944 8171220 8203264 8331440 8486400 8651880 8704000 8715968 8852155 8985600 9012375 9052160 9216000 9228672 9372870 9400320 9547200 9613200 9792000 9805464 9984000 9997728 10183680 10214025 10254080 10414300 10444800 10608000 10622586 10814850 10894960 11232000 11247444 11315200 11535840 11750400 11934000 11980800 12016500 12220416 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2768601600 2789109760 2811861000 2832689600 2879345664 2941639200 2953175040 2999318400 3055104000 3059304768 3076224000 3137748480 3186775800 3199272960 3268488000 3332576000 3346931712 3399227520 3460752000 3486387200 3540862000 3599182080 3625842688 3677049000 3691468800 3749148000 3765298176 3824130960 3839127552 3922185600 3983469750 3999091200 4079073024 4101632000 4183664640 4249034400 4265697280 4357984000 4429762560 4498977600 4532303360 4614336000 4706622720 4780163700 4798909440 4902732000 4921958400 4998864000 5020397568 5098841280 5229580800 5311293000 5332121600 5438764032 5537203200 5578219520 5623722000 5665379200 5758691328 5883278400 5975204625 5998636800 6110208000 6118609536 6152448000 6275496960 6373551600 6398545920 6536976000 6665152000 6798455040 6921504000 6972774400 7081724000 7198364160 7251685376 7354098000 7382937600 7498296000 7530596352 7648261920 7678255104 7844371200 7966939500 7998182400 8158146048 8203264000 8367329280 8498068800 8715968000 8859525120 8997955200 9064606720 9228672000 9413245440 9560327400 9597818880 9805464000 9997728000 10040795136 10197682560 10459161600 10622586000 10664243200 10877528064 11074406400 11247444000 11330758400 11517382656 11766556800 11950409250 11997273600 12237219072 12304896000 12550993920 12747103200 12797091840 13073952000 13330304000 13596910080 13843008000 13945548800 14163448000 14396728320 14503370752 14708196000 14765875200 14996592000 15061192704 15296523840 15688742400 15933879000 15996364800 16316292096 16734658560 16996137600 17431936000 17995910400 18129213440 18457344000 18826490880 19120654800 19195637760 19610928000 19995456000 20395365120 20918323200 21245172000 21328486400 21755056128 22148812800 22494888000 22661516800 23034765312 23533113600 23900818500 23994547200 24474438144 24609792000 25101987840 25494206400 26147904000 26660608000 27193820160 27686016000 27891097600 28326896000 28793456640 29416392000 29993184000 30122385408 30593047680 31377484800 31867758000 31992729600 32632584192 33992275200 34863872000 35991820800 36258426880 36914688000 37652981760 38241309600 38391275520 39221856000 39990912000 40790730240 41836646400 42490344000 43510112256 44297625600 44989776000 45323033600 47066227200 47801637000 47989094400 48948876288 50203975680 50988412800 52295808000 53321216000 54387640320 55372032000 56653792000 57586913280 58832784000 59986368000 61186095360 62754969600 63735516000 63985459200 65265168384 67984550400 69727744000 71983641600 72516853760 73829376000 75305963520 76482619200 78443712000 79981824000 81581460480 83673292800 84980688000 89979552000 90646067200 94132454400 95603274000 95978188800 97897752576 101976825600 104591616000 106642432000 108775280640 110744064000 113307584000 115173826560 117665568000 119972736000 122372190720 125509939200 127471032000 130530336768 135969100800 139455488000 143967283200 150611927040 152965238400 156887424000 159963648000 163162920960 169961376000 179959104000 181292134400 188264908800 191206548000 191956377600 195795505152 203953651200 209183232000 217550561280 221488128000 226615168000 235331136000 239945472000 244744381440 251019878400 254942064000 271938201600 287934566400 305930476800 313774848000 319927296000 326325841920 339922752000 359918208000 362584268800 376529817600 382413096000 391591010304 407907302400 418366464000 453230336000 470662272000 479890944000 489488762880 509884128000 543876403200 575869132800 611860953600 627549696000 652651683840 679845504000 719836416000 753059635200 764826192000 815814604800 906460672000 941324544000 959781888000 978977525760 1019768256000 1087752806400 1223721907200 1255099392000 1359691008000 1439672832000 1529652384000 1631629209600 1812921344000 1882649088000 1957955051520 2039536512000 2447443814400 2719382016000 2879345664000 3059304768000 3263258419200 3765298176000 4079073024000 4894887628800 5438764032000 6118609536000 8158146048000 9789775257600 12237219072000 16316292096000 24474438144000 48948876288000
- Sum of all divisors σ(n): 206404661998080
- Sum of proper divisors (its aliquot sum) s(n): 157455785710080
- 48948876288000 is an abundant number, because the sum of its proper divisors (157455785710080) is greater than itself. Its abundance is 108506909422080
Bases of 48948876288000
- Binary: 10110010000100110011000110001000100000000000002
- Hexadecimal: 0x2C84CC622000
- Base-36: HCMSX4AO0
Squares and roots of 48948876288000
- 48948876288000 squared (489488762880002) is 2395992489857928658944000000
- 48948876288000 cubed (489488762880003) is 117281139973032844622579600719872000000000
-
The
square root of 48948876288000 is 6996347.3532980051 -
The
cube root of 48948876288000 is 36580.3263253465
Scales and comparisons
How big is 48948876288000?- 48,948,876,288,000 seconds is equal to 1,556,422 years, 44 weeks, 4 days.
-
To count from 1 to 48,948,876,288,000 would take you about three million, eight hundred ninety-one thousand and fifty-seven 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 48948876288000 cubic inches would be around 3048.4 feet tall.
Recreational maths with 48948876288000
- 48948876288000 backwards is 00088267884984
- 48948876288000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48948876288000's digits is 72
- More coming soon!
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The information we have on file for 48948876288000 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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