4428730828800
4,428,730,828,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 4428730828800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
4428730828800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 4428730828800:
211 × 32 × 52 × 312 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 31 × 73 × 137)See below for interesting mathematical facts about the number 4428730828800 from the Numbermatics database.
Names of 4428730828800
- Cardinal: 4428730828800 can be written as Four trillion, four hundred twenty-eight billion, seven hundred thirty million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.4287308288 × 1012
Factors of 4428730828800
Divisors of 4428730828800
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 73 75 80 90 93 96 100 120 124 128 137 144 146 150 155 160 180 186 192 200 219 225 240 248 256 274 279 288 292 300 310 320 360 365 372 384 400 411 438 450 465 480 496 512 548 558 576 584 600 620 640 657 685 720 730 744 768 775 800 822 876 900 930 960 961 992 1024 1095 1096 1116 1152 1168 1200 1233 1240 1280 1314 1370 1395 1440 1460 1488 1536 1550 1600 1644 1752 1800 1825 1860 1920 1922 1984 2048 2055 2190 2192 2232 2263 2304 2325 2336 2400 2466 2480 2560 2628 2740 2790 2880 2883 2920 2976 3072 3100 3200 3285 3288 3425 3504 3600 3650 3720 3840 3844 3968 4110 4247 4380 4384 4464 4526 4608 4650 4672 4800 4805 4932 4960 5120 5256 5475 5480 5580 5760 5766 5840 5952 6144 6165 6200 6400 6570 6576 6789 6850 6975 7008 7200 7300 7440 7680 7688 7936 8220 8494 8649 8760 8768 8928 9052 9216 9300 9344 9600 9610 9864 9920 10001 10240 10275 10512 10950 10960 11160 11315 11520 11532 11680 11904 12330 12400 12741 12800 13140 13152 13578 13700 13950 14016 14400 14415 14600 14880 15360 15376 15872 16425 16440 16988 17298 17520 17536 17856 18104 18432 18600 18688 19200 19220 19728 19840 20002 20367 20550 21024 21235 21900 21920 22320 22630 23040 23064 23360 23808 24025 24660 24800 25482 25600 26280 26304 27156 27400 27900 28032 28800 28830 29200 29760 30003 30720 30752 30825 31744 32850 32880 33945 33976 34596 35040 35072 35712 36208 37200 37376 38223 38400 38440 39456 39680 40004 40734 41100 42048 42470 43245 43800 43840 44640 45260 46080 46128 46720 47616 48050 49320 49600 50005 50964 51200 52560 52608 54312 54800 55800 56064 56575 57600 57660 58400 59520 60006 61504 61650 63488 63705 65700 65760 67890 67952 69192 70080 70144 70153 71424 72075 72416 74400 74752 76446 76800 76880 78912 79360 80008 81468 82200 84096 84940 86490 87600 87680 89280 90009 90520 92160 92256 93440 95232 96100 98640 99200 100010 101835 101928 105120 105216 106175 108624 109600 111600 112128 113150 115200 115320 116800 119040 120012 123008 123300 127410 131400 131520 131657 135780 135904 138384 140160 140288 140306 142848 144150 144832 148800 149504 150015 152892 153600 153760 157824 158720 160016 162936 164400 168192 169725 169880 172980 175200 175360 178560 180018 181040 184512 186880 190464 191115 192200 197280 198400 200020 203670 203856 210240 210432 210459 212350 216225 217248 219200 223200 224256 226300 230400 230640 233600 238080 240024 246016 246600 250025 254820 262800 263040 263314 271560 271808 276768 280320 280576 280612 285696 288300 289664 297600 300030 305784 307520 310031 315648 317440 318525 320032 325872 328800 336384 339450 339760 345960 350400 350720 350765 357120 360036 362080 369024 373760 382230 384400 394560 394971 396800 400040 407340 407712 420480 420864 420918 424700 432450 434496 438400 446400 448512 450045 452600 460800 461280 467200 476160 480048 492032 493200 500050 509175 509640 525600 526080 526628 543120 543616 553536 560640 561224 571392 576600 579328 595200 600060 611568 615040 620062 631296 631377 637050 640064 651744 657600 658285 672768 678900 679520 691920 700800 701440 701530 714240 720072 724160 738048 747520 750075 764460 768800 789120 789942 793600 800080 814680 815424 840960 841728 841836 849400 864900 868992 876800 892800 900090 905200 922560 930093 934400 952320 955575 960096 984064 986400 1000100 1018350 1019280 1051200 1052160 1052295 1053256 1086240 1087232 1107072 1121280 1122448 1153200 1158656 1184913 1190400 1200120 1223136 1230080 1240124 1262592 1262754 1274100 1280128 1303488 1315200 1316570 1345536 1357800 1359040 1383840 1401600 1402880 1403060 1428480 1440144 1448320 1476096 1500150 1528920 1537600 1550155 1578240 1579884 1587200 1600160 1629360 1630848 1681920 1683672 1698800 1729800 1737984 1753600 1753825 1785600 1800180 1810400 1845120 1860186 1868800 1911150 1920192 1968128 1972800 1974855 2000200 2036700 2038560 2102400 2104320 2104590 2106512 2172480 2174464 2214144 2242560 2244896 2250225 2306400 2317312 2369826 2380800 2400240 2446272 2460160 2480248 2525184 2525508 2548200 2560256 2606976 2630400 2633140 2715600 2718080 2767680 2790279 2803200 2806120 2856960 2880288 2896640 2952192 3000300 3057840 3075200 3100310 3156480 3156885 3159768 3200320 3258720 3261696 3291425 3363840 3367344 3397600 3459600 3475968 3507200 3507650 3571200 3600360 3620800 3690240 3720372 3737600 3822300 3840384 3945600 3949710 4000400 4073400 4077120 4204800 4208640 4209180 4213024 4344960 4348928 4428288 4489792 4500450 4612800 4634624 4650465 4739652 4761600 4800480 4892544 4920320 4960496 5051016 5096400 5120512 5213952 5260800 5261475 5266280 5431200 5436160 5535360 5580558 5606400 5612240 5760576 5793280 5904384 5924565 6000600 6115680 6150400 6200620 6312960 6313770 6319536 6400640 6517440 6523392 6582850 6727680 6734688 6795200 6919200 6951936 7014400 7015300 7142400 7200720 7241600 7380480 7440744 7644600 7680768 7750775 7891200 7899420 8000800 8146800 8154240 8409600 8418360 8426048 8689920 8697856 8856576 8979584 9000900 9225600 9300930 9479304 9600960 9610961 9785088 9840640 9874275 9920992 10102032 10192800 10241024 10427904 10521600 10522950 10532560 10862400 10872320 11070720 11161116 11212800 11224480 11521152 11586560 11849130 12001200 12231360 12300800 12401240 12625920 12627540 12639072 12801280 13034880 13046784 13165700 13469376 13590400 13838400 13903872 13951395 14030600 14284800 14401440 14483200 14760960 14881488 15289200 15361536 15501550 15782400 15784425 15798840 16001600 16293600 16308480 16819200 16836720 16852096 17379840 17713152 17959168 18001800 18451200 18601860 18958608 19201920 19221922 19570176 19748550 19841984 20204064 20385600 20482048 20855808 21043200 21045900 21065120 21724800 21744640 22141440 22322232 22448960 23042304 23173120 23252325 23698260 24002400 24462720 24601600 24802480 25255080 25278144 25602560 26069760 26093568 26331400 26938752 27180800 27676800 27902790 28061200 28802880 28832883 28966400 29521920 29622825 29762976 30578400 30723072 31003100 31564800 31568850 31597680 32003200 32587200 32616960 33638400 33673440 33704192 34759680 35918336 36003600 36902400 37203720 37917216 38403840 38443844 39140352 39497100 39683968 40408128 40771200 41711616 42091800 42130240 43449600 43489280 44282880 44644464 44897920 46084608 46504650 47396520 48004800 48054805 48925440 49203200 49604960 50510160 50556288 51205120 52139520 52662800 53877504 54361600 55353600 55805580 56122400 57605760 57665766 57932800 59245650 59525952 61156800 61446144 62006200 63129600 63137700 63195360 64006400 65174400 65233920 67346880 67408384 69519360 69756975 71836672 72007200 73804800 74407440 75834432 76807680 76887688 78280704 78994200 79367936 80816256 81542400 84183600 84260480 86498649 86899200 88565760 89288928 89795840 92169216 93009300 94793040 96009600 96109610 97850880 99209920 101020320 101112576 102410240 104279040 105325600 107755008 108723200 110707200 111611160 112244800 115211520 115331532 115865600 118491300 119051904 122313600 124012400 126275400 126390720 128012800 130348800 130467840 134693760 134816768 139513950 143673344 144014400 144164415 147609600 148814880 151668864 153615360 153775376 157988400 158735872 161632512 163084800 168367200 168520960 172997298 173798400 178577856 179591680 184338432 186018600 189586080 192019200 192219220 195701760 198419840 202040640 202225152 208558080 210651200 215510016 217446400 221414400 223222320 224489600 230423040 230663064 236982600 238103808 240274025 244627200 248024800 252550800 252781440 256025600 260697600 269387520 269633536 279027900 288028800 288328830 297629760 303337728 307230720 307550752 315976800 317471744 323265024 326169600 336734400 337041920 345994596 347596800 357155712 359183360 372037200 379172160 384038400 384438440 391403520 396839680 404081280 404450304 421302400 431020032 432493245 442828800 446444640 448979200 460846080 461326128 473965200 476207616 480548050 489254400 496049600 505101600 505562880 512051200 521395200 538775040 558055800 576057600 576657660 595259520 606675456 615101504 631953600 634943488 646530048 652339200 673468800 674083840 691989192 714311424 718366720 720822075 744074400 758344320 768076800 768876880 793679360 808162560 808900608 842604800 864986490 892889280 897958400 921692160 922652256 947930400 952415232 961096100 978508800 992099200 1010203200 1011125760 1042790400 1077550080 1116111600 1152115200 1153315320 1190519040 1213350912 1230203008 1263907200 1293060096 1346937600 1348167680 1383978384 1428622848 1441644150 1488148800 1516688640 1536153600 1537753760 1587358720 1616325120 1685209600 1729972980 1785778560 1795916800 1845304512 1895860800 1904830464 1922192200 1957017600 1984198400 2020406400 2022251520 2155100160 2162466225 2232223200 2304230400 2306630640 2381038080 2426701824 2460406016 2527814400 2693875200 2767956768 2857245696 2883288300 2976297600 3033377280 3075507520 3174717440 3232650240 3370419200 3459945960 3571557120 3591833600 3690609024 3791721600 3844384400 3968396800 4040812800 4044503040 4324932450 4464446400 4608460800 4613261280 4762076160 4920812032 5055628800 5387750400 5535913536 5714491392 5766576600 5952595200 6066754560 6151015040 6465300480 6740838400 6919891920 7143114240 7381218048 7583443200 7688768800 7936793600 8081625600 8649864900 8928892800 9226522560 9524152320 9841624064 10111257600 10775500800 11071827072 11533153200 11905190400 12133509120 12302030080 13839783840 14286228480 14762436096 15166886400 15377537600 15873587200 16163251200 17299729800 17857785600 18453045120 19683248128 20222515200 22143654144 23066306400 23810380800 24604060160 27679567680 28572456960 29524872192 30333772800 30755075200 32326502400 34599459600 35715571200 36906090240 44287308288 46132612800 47620761600 49208120320 55359135360 59049744384 60667545600 61510150400 69198919200 71431142400 73812180480 88574616576 92265225600 98416240640 110718270720 123020300800 138397838400 142862284800 147624360960 177149233152 184530451200 221436541440 246040601600 276795676800 295248721920 369060902400 442873082880 492081203200 553591353600 738121804800 885746165760 1107182707200 1476243609600 2214365414400 4428730828800
- Sum of all divisors σ(n): 16734741447060
- Sum of proper divisors (its aliquot sum) s(n): 12306010618260
- 4428730828800 is an abundant number, because the sum of its proper divisors (12306010618260) is greater than itself. Its abundance is 7877279789460
Bases of 4428730828800
- Binary: 10000000111001001001110110110001000000000002
- Hexadecimal: 0x40724ED8800
- Base-36: 1KIJ3ZLS0
Squares and roots of 4428730828800
- 4428730828800 squared (44287308288002) is 19613656753963534909440000
- 4428730828800 cubed (44287308288003) is 86863606331779643644461944143872000000
-
The
square root of 4428730828800 is 2104454.9956699003 -
The
cube root of 4428730828800 is 16422.0143939135
Scales and comparisons
How big is 4428730828800?- 4,428,730,828,800 seconds is equal to 140,819 years, 48 weeks, 6 days, 16 hours.
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To count from 1 to 4,428,730,828,800 would take you about three hundred fifty-two thousand and forty-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 4428730828800 cubic inches would be around 1368.5 feet tall.
Recreational maths with 4428730828800
- 4428730828800 backwards is 0088280378244
- The number of decimal digits it has is: 13
- The sum of 4428730828800's digits is 54
- More coming soon!
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The information we have on file for 4428730828800 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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