10828913407948800
10,828,913,407,948,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 10828913407948800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
10828913407948800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 10828913407948800:
211 × 32 × 52 × 199 × 108672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 199 × 10867 × 10867)See below for interesting mathematical facts about the number 10828913407948800 from the Numbermatics database.
Names of 10828913407948800
- Cardinal: 10828913407948800 can be written as Ten quadrillion, eight hundred twenty-eight trillion, nine hundred thirteen billion, four hundred seven million, nine hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.08289134079488 × 1016
Factors of 10828913407948800
Divisors of 10828913407948800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 199 200 225 240 256 288 300 320 360 384 398 400 450 480 512 576 597 600 640 720 768 796 800 900 960 995 1024 1152 1194 1200 1280 1440 1536 1592 1600 1791 1800 1920 1990 2048 2304 2388 2400 2560 2880 2985 3072 3184 3200 3582 3600 3840 3980 4608 4776 4800 4975 5120 5760 5970 6144 6368 6400 7164 7200 7680 7960 8955 9216 9552 9600 9950 10240 10867 11520 11940 12736 12800 14328 14400 14925 15360 15920 17910 18432 19104 19200 19900 21734 23040 23880 25472 25600 28656 28800 29850 30720 31840 32601 35820 38208 38400 39800 43468 44775 46080 47760 50944 51200 54335 57312 57600 59700 63680 65202 71640 76416 76800 79600 86936 89550 92160 95520 97803 101888 108670 114624 115200 119400 127360 130404 143280 152832 153600 159200 163005 173872 179100 191040 195606 203776 217340 229248 230400 238800 254720 260808 271675 286560 305664 318400 326010 347744 358200 382080 391212 407552 434680 458496 460800 477600 489015 509440 521616 543350 573120 611328 636800 652020 695488 716400 764160 782424 815025 869360 916992 955200 978030 1018880 1043232 1086700 1146240 1222656 1273600 1304040 1390976 1432800 1528320 1564848 1630050 1738720 1833984 1910400 1956060 2037760 2086464 2162533 2173400 2292480 2445075 2547200 2608080 2781952 2865600 3056640 3129696 3260100 3477440 3667968 3820800 3912120 4172928 4325066 4346800 4584960 4890150 5094400 5216160 5563904 5731200 6113280 6259392 6487599 6520200 6954880 7641600 7824240 8345856 8650132 8693600 9169920 9780300 10188800 10432320 10812665 11127808 11462400 12518784 12975198 13040400 13909760 15283200 15648480 16691712 17300264 17387200 18339840 19462797 19560600 20864640 21625330 22255616 22924800 25037568 25950396 26080800 27819520 30566400 31296960 32437995 33383424 34600528 34774400 38925594 39121200 41729280 43250660 45849600 50075136 51900792 52161600 54063325 55639040 62593920 64875990 66766848 69201056 69548800 77851188 78242400 83458560 86501320 91699200 97313985 100150272 103801584 104323200 108126650 111278080 118091689 125187840 129751980 138402112 139097600 155702376 156484800 162189975 166917120 173002640 194627970 200300544 207603168 208646400 216253300 236183378 250375680 259503960 276804224 278195200 311404752 312969600 324379950 333834240 346005280 354275067 389255940 415206336 417292800 432506600 472366756 486569925 500751360 519007920 553608448 556390400 590458445 622809504 625939200 648759900 692010560 708550134 778511880 830412672 834585600 865013200 944733512 973139850 1001502720 1038015840 1062825201 1107216896 1180916890 1245619008 1251878400 1297519800 1384021120 1417100268 1557023760 1660825344 1669171200 1730026400 1771375335 1889467024 1946279700 2076031680 2125650402 2214433792 2361833780 2491238016 2503756800 2595039600 2768042240 2834200536 2952292225 3114047520 3321650688 3460052800 3542750670 3778934048 3892559400 4152063360 4251300804 4428867584 4723667560 4982476032 5007513600 5190079200 5314126005 5536084480 5668401072 5904584450 6228095040 6643301376 6920105600 7085501340 7557868096 7785118800 8304126720 8502601608 8856876675 9447335120 9964952064 10380158400 10628252010 11072168960 11336802144 11809168900 12456190080 13286602752 13840211200 14171002680 15115736192 15570237600 16608253440 17005203216 17713753350 18894670240 19929904128 20760316800 21256504020 22144337920 22673604288 23500246111 23618337800 24912380160 26570630025 27680422400 28342005360 30231472384 31140475200 33216506880 34010406432 35427506700 37789340480 39859808256 41520633600 42513008040 45347208576 47000492222 47236675600 49824760320 53141260050 55360844800 56684010720 60462944768 62280950400 66433013760 68020812864 70500738333 70855013400 75578680960 83041267200 85026016080 90694417152 94000984444 94473351200 99649520640 106282520100 110721689600 113368021440 117501230555 120925889536 124561900800 136041625728 141001476666 141710026800 151157361920 166082534400 170052032160 181388834304 188001968888 188946702400 199299041280 211502214999 212565040200 226736042880 235002461110 241851779072 249123801600 272083251456 282002953332 283420053600 302314723840 332165068800 340104064320 352503691665 362777668608 376003937776 377893404800 423004429998 425130080400 453472085760 470004922220 498247603200 544166502912 564005906664 566840107200 587506152775 604629447680 680208128640 705007383330 725555337216 752007875552 755786809600 846008859996 850260160800 906944171520 940009844440 996495206400 1057511074995 1088333005824 1128011813328 1133680214400 1175012305550 1209258895360 1360416257280 1410014766660 1504015751104 1511573619200 1692017719992 1700520321600 1762518458325 1813888343040 1880019688880 2115022149990 2176666011648 2256023626656 2267360428800 2350024611100 2720832514560 2820029533320 3008031502208 3023147238400 3384035439984 3401040643200 3525036916650 3627776686080 3760039377760 4230044299980 4512047253312 4534720857600 4700049222200 5287555374975 5441665029120 5640059066640 6016063004416 6046294476800 6768070879968 6802081286400 7050073833300 7520078755520 8460088599960 9024094506624 9069441715200 9400098444400 10575110749950 10883330058240 11280118133280 12032126008832 13536141759936 13604162572800 14100147666600 15040157511040 16920177199920 18048189013248 18138883430400 18800196888800 21150221499900 22560236266560 24064252017664 27072283519872 27208325145600 28200295333200 30080315022080 33840354399840 36096378026496 37600393777600 42300442999800 45120472533120 48128504035328 54144567039744 54416650291200 56400590666400 60160630044160 67680708799680 72192756052992 75200787555200 84600885999600 90240945066240 108289134079488 112801181332800 120321260088320 135361417599360 144385512105984 150401575110400 169201771999200 180481890132480 216578268158976 225602362665600 240642520176640 270722835198720 300803150220800 338403543998400 360963780264960 433156536317952 451204725331200 541445670397440 601606300441600 676807087996800 721927560529920 902409450662400 1082891340794880 1203212600883200 1353614175993600 1804818901324800 2165782681589760 2707228351987200 3609637802649600 5414456703974400 10828913407948800
- Sum of all divisors σ(n): 38980575655749000
- Sum of proper divisors (its aliquot sum) s(n): 28151662247800200
- 10828913407948800 is an abundant number, because the sum of its proper divisors (28151662247800200) is greater than itself. Its abundance is 17322748839851400
Bases of 10828913407948800
- Binary: 1001100111100011010110111000001111101111111000000000002
- Hexadecimal: 0x2678D6E0FBF800
- Base-36: 2YMJ254U0W0
Squares and roots of 10828913407948800
- 10828913407948800 squared (108289134079488002) is 117265365596853293731023421440000
- 10828913407948800 cubed (108289134079488003) is 1269856489799782568374282985354622268342272000000
-
The
square root of 10828913407948800 is 104062065.1724190991 -
The
cube root of 10828913407948800 is 221238.9695319795
Scales and comparisons
How big is 10828913407948800?- 10,828,913,407,948,800 seconds is equal to 344,325,950 years, 17 weeks, 6 days, 8 hours.
-
To count from 1 to 10,828,913,407,948,800 would take you about one billion, thirty-two million, nine hundred seventy-seven thousand, eight hundred fifty-one 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 10828913407948800 cubic inches would be around 18436.6 feet tall.
Recreational maths with 10828913407948800
- 10828913407948800 backwards is 00884970431982801
- 10828913407948800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10828913407948800's digits is 72
- More coming soon!
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The information we have on file for 10828913407948800 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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