85344248138400
85,344,248,138,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 85344248138400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
85344248138400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 85344248138400:
25 × 33 × 52 × 19 × 53 × 829 × 4733
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 53 × 829 × 4733)See below for interesting mathematical facts about the number 85344248138400 from the Numbermatics database.
Names of 85344248138400
- Cardinal: 85344248138400 can be written as Eighty-five trillion, three hundred forty-four billion, two hundred forty-eight million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.53442481384 × 1013
Factors of 85344248138400
Divisors of 85344248138400
- Number of divisors d(n): 1152
-
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 53 54 57 60 72 75 76 80 90 95 96 100 106 108 114 120 135 144 150 152 159 160 171 180 190 200 212 216 225 228 240 265 270 285 288 300 304 318 342 360 380 400 424 432 450 456 475 477 480 513 530 540 570 600 608 636 675 684 720 760 795 800 829 848 855 864 900 912 950 954 1007 1026 1060 1080 1140 1200 1272 1325 1350 1368 1425 1431 1440 1520 1590 1658 1696 1710 1800 1824 1900 1908 2014 2052 2120 2160 2280 2385 2400 2487 2544 2565 2650 2700 2736 2850 2862 3021 3040 3180 3316 3420 3600 3800 3816 3975 4028 4104 4145 4240 4275 4320 4560 4733 4770 4974 5035 5088 5130 5300 5400 5472 5700 5724 6042 6360 6632 6840 7155 7200 7461 7600 7632 7950 8056 8208 8290 8480 8550 9063 9120 9466 9540 9948 10070 10260 10600 10800 11400 11448 11925 12084 12435 12720 12825 13264 13680 14199 14310 14922 15105 15200 15264 15751 15900 16112 16416 16580 17100 18126 18932 19080 19896 20140 20520 20725 21200 21600 22383 22800 22896 23665 23850 24168 24870 25175 25440 25650 26528 27189 27360 28398 28620 29844 30210 31502 31800 32224 33160 34200 35775 36252 37305 37864 38160 39792 40280 41040 41450 42400 42597 43937 44766 45315 45600 45792 47253 47330 47700 48336 49740 50350 51300 54378 56796 57240 59688 60420 62175 63004 63600 66320 68400 70995 71550 72504 74610 75525 75728 76320 78755 79584 80560 82080 82900 85194 87874 89532 89927 90630 94506 94660 95400 96672 99480 100700 102600 108756 111915 113592 114480 118325 119376 120840 124350 126008 127200 127791 131811 132640 135945 136800 141759 141990 143100 145008 149220 151050 151456 157510 161120 165800 170388 175748 179064 179854 181260 186525 189012 189320 190800 198960 201400 205200 212985 217512 219685 223830 226575 227184 228960 236265 236650 238752 241680 248700 250849 252016 255582 263622 269781 271890 283518 283980 286200 290016 298440 302100 315020 331600 340776 351496 354975 358128 359708 362520 373050 378024 378640 381600 393775 395433 397920 402800 410400 425277 425970 435024 439370 447660 449635 453150 454368 472530 473300 483360 497400 501698 504032 511164 527244 539562 543780 559575 567036 567960 572400 596880 604200 630040 638955 659055 663200 679725 681552 702992 708795 709950 716256 719416 725040 746100 752547 756048 757280 787550 790866 805600 809343 834803 850554 851940 870048 878740 895320 899270 906300 945060 946600 994800 1003396 1022328 1054488 1064925 1079124 1087560 1098425 1119150 1134072 1135920 1144800 1181325 1186299 1193760 1208400 1254245 1260080 1277910 1318110 1348905 1359450 1363104 1405984 1417590 1419900 1438832 1450080 1492200 1505094 1512096 1575100 1581732 1618686 1669606 1701108 1703880 1757480 1790640 1798540 1812600 1890120 1893200 1977165 1989600 2006792 2044656 2108976 2126385 2129850 2158248 2175120 2196850 2238300 2248175 2257641 2268144 2271840 2362650 2372598 2416800 2428029 2504409 2508490 2520160 2555820 2636220 2697810 2718900 2835180 2839800 2877664 2984400 3010188 3150200 3163464 3194775 3237372 3295275 3339212 3402216 3407760 3514960 3543975 3581280 3597080 3625200 3762735 3780240 3786400 3923657 3954330 4013584 4046715 4089312 4174015 4217952 4252770 4259700 4316496 4350240 4393700 4476600 4496350 4515282 4536288 4725300 4745196 4766131 4856058 5008818 5016980 5111640 5272440 5395620 5437800 5670360 5679600 5931495 5968800 6020376 6271225 6300400 6326928 6389550 6474744 6590550 6678424 6744525 6772923 6804432 6815520 7029920 7087950 7194160 7250400 7513227 7525470 7560480 7847314 7908660 8027168 8093430 8348030 8505540 8519400 8632992 8787400 8953200 8992700 9030564 9450600 9490392 9532262 9712116 9885825 10017636 10033960 10223280 10544880 10631925 10791240 10875600 11288205 11340720 11359200 11770971 11862990 12040752 12140145 12522045 12542450 12600800 12653856 12779100 12949488 13181100 13356848 13489050 13545846 13608864 14175900 14298393 14388320 15026454 15050940 15694628 15817320 16186860 16696060 17011080 17038800 17574800 17906400 17985400 18061128 18813675 18901200 18980784 19064524 19424232 19618285 19771650 20035272 20067920 20233575 20446560 20870075 21089760 21263850 21582480 21751200 22539681 22576410 22681440 23541942 23725980 23830655 24081504 24280290 25044090 25084900 25558200 25898976 26362200 26713696 26978100 27091692 28351800 28596786 29657475 30052908 30101880 31389256 31634640 32373720 33392120 33864615 34022160 34077600 35149600 35312913 35970800 36122256 37566135 37627350 37802400 37961568 38129048 38848464 39236570 39543300 40070544 40135840 40467150 41740150 42527700 42895179 43164960 45079362 45152820 47083884 47451960 47661310 48560580 50088180 50169800 51116400 52724400 53956200 54183384 56441025 56703600 57193572 58854855 59314950 60105816 60203760 60700725 62610225 62778512 63269280 64747440 66784240 67729230 68044320 70625826 71491965 71941600 72244512 74549483 75132270 75254700 76258096 77696928 78473140 79086600 80141088 80934300 83480300 85055400 85790358 90158724 90305640 94167768 94903920 95322620 97121160 98091425 100176360 100339600 102232800 105448800 105938739 107912400 108366768 112698405 112882050 113407200 114387144 117709710 118629900 119153275 120211632 120407520 121401450 125220450 125557024 128685537 129494880 133568480 135458460 141251652 142983930 149098966 150264540 150509400 152516192 156946280 158173200 161868600 166960600 169323075 170110800 171580716 176564565 180317448 180611280 187830675 188335536 189807840 190645240 194242320 196182850 200352720 200679200 207953821 211877478 214475895 215824800 216733536 223648449 225396810 225764100 228774288 235419420 237259800 238306550 240423264 242802900 250440900 257371074 270916920 282503304 285967860 294274275 298197932 300529080 301018800 313892560 316346400 323737200 333921200 338646150 340221600 343161432 353129130 357459825 360634896 361222560 372747415 375661350 376671072 381290480 388484640 392365700 400705440 415907642 423754956 428951790 447296898 450793620 451528200 457548576 470838840 474519600 476613100 485605800 500881800 514742148 529693695 541833840 563492025 565006608 571935720 588548550 596395864 601058160 602037600 623861463 627785120 643427685 647474400 667842400 670945347 677292300 686322864 706258260 714919650 721269792 745494830 751322700 762580960 784731400 831815284 847509912 857903580 882822825 894593796 901587240 903056400 941677680 949039200 953226200 971211600 1001763600 1029484296 1039769105 1059387390 1072379475 1083667680 1118242245 1126984050 1130013216 1143871440 1177097100 1192791728 1202116320 1247722926 1286855370 1341890694 1354584600 1372645728 1412516520 1429839300 1490989660 1502645400 1569462800 1663630568 1695019824 1715807160 1765645650 1789187592 1803174480 1806112800 1863737075 1871584389 1883355360 1906452400 1942423200 2003527200 2012836041 2058968592 2079538210 2118774780 2144758950 2236484490 2253968100 2287742880 2354194200 2385583456 2495445852 2573710740 2648468475 2683781388 2709169200 2825033040 2859678600 2981979320 3005290800 3119307315 3138925600 3217138425 3327261136 3354726735 3390039648 3431614320 3531291300 3578375184 3606348960 3727474150 3743168778 3812904800 3951122599 4025672082 4117937184 4159076420 4237549560 4289517900 4472968980 4507936200 4708388400 4990891704 5147421480 5198845525 5296936950 5367562776 5418338400 5591211225 5614753167 5650066080 5719357200 5963958640 6010581600 6238614630 6434276850 6654522272 6709453470 6863228640 7062582600 7156750368 7454948300 7486337556 7902245198 8051344164 8318152840 8475099120 8579035800 8945937960 9015872400 9357921945 9416776800 9981783408 10064180205 10294842960 10397691050 10593873900 10735125552 11182422450 11229506334 11438714400 11853367797 11927917280 12477229260 12868553700 13418906940 14125165200 14909896600 14972675112 15596536575 15804490396 16102688328 16636305680 16773633675 16950198240 17158071600 17891875920 18031744800 18715843890 19755612995 19963566816 20128360410 20589685920 20795382100 21187747800 21470251104 22364844900 22459012668 23706735594 24954458520 25737107400 26837813880 28073765835 28250330400 29819793200 29945350224 31193073150 31608980792 32205376656 33272611360 33547267350 34316143200 35560103391 35783751840 37431687780 39511225990 40256720820 41590764200 42375495600 44729689800 44918025336 46789609725 47413471188 49908917040 50320901025 51474214800 53675627760 56147531670 59266838985 59639586400 59890700448 62386146300 63217961584 64410753312 67094534700 71120206782 74863375560 79022451980 80513441640 83181528400 84750991200 89459379600 89836050672 93579219450 94826942376 98778064975 99817834080 100641802050 102948429600 106680310173 107351255520 112295063340 118533677970 124772292600 126435923168 134189069400 140368829175 142240413564 149726751120 158044903960 161026883280 166363056800 177800516955 178918759200 179672101344 187158438900 189653884752 197556129950 201283604100 213360620346 224590126680 237067355940 249544585200 268378138800 280737658350 284480827128 296334194925 299453502240 316089807920 322053766560 355601033910 374316877800 379307769504 395112259900 402567208200 426721240692 449180253360 474134711880 499089170400 533401550865 536756277600 561475316700 568961654256 592668389850 632179615840 711202067820 748633755600 790224519800 805134416400 853442481384 889002584775 898360506720 948269423760 1066803101730 1122950633400 1137923308512 1185336779700 1422404135640 1497267511200 1580449039600 1610268832800 1706884962768 1778005169550 1896538847520 2133606203460 2245901266800 2370673559400 2667007754325 2844808271280 3160898079200 3413769925536 3556010339100 4267212406920 4491802533600 4741347118800 5334015508650 5689616542560 7112020678200 8534424813840 9482694237600 10668031017300 14224041356400 17068849627680 21336062034600 28448082712800 42672124069200 85344248138400
- Sum of all divisors σ(n): 331506719712000
- Sum of proper divisors (its aliquot sum) s(n): 246162471573600
- 85344248138400 is an abundant number, because the sum of its proper divisors (246162471573600) is greater than itself. Its abundance is 160818223435200
Bases of 85344248138400
- Binary: 100110110011110110000011001100000001010101000002
- Hexadecimal: 0x4D9EC1980AA0
- Base-36: U92LTTGO0
Squares and roots of 85344248138400
- 85344248138400 squared (853442481384002) is 7283640690308791865554560000
- 85344248138400 cubed (853442481384003) is 621616838424660601093007820363631104000000
-
The
square root of 85344248138400 is 9238195.0692978983 -
The
cube root of 85344248138400 is 44027.5736496253
Scales and comparisons
How big is 85344248138400?- 85,344,248,138,400 seconds is equal to 2,713,683 years, 5 weeks, 2 days, 18 hours.
-
To count from 1 to 85,344,248,138,400 would take you about six million, seven hundred eighty-four thousand, two hundred 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 85344248138400 cubic inches would be around 3669 feet tall.
Recreational maths with 85344248138400
- 85344248138400 backwards is 00483184244358
- 85344248138400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85344248138400's digits is 54
- More coming soon!
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The information we have on file for 85344248138400 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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