11948345331916000
11,948,345,331,916,000 is an even composite number composed of five prime numbers multiplied together.
11948345331916000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 11948345331916000:
25 × 53 × 72 × 412 × 3313
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 41 × 41 × 331 × 331 × 331)See below for interesting mathematical facts about the number 11948345331916000 from the Numbermatics database.
Names of 11948345331916000
- Cardinal: 11948345331916000 can be written as Eleven quadrillion, nine hundred forty-eight trillion, three hundred forty-five billion, three hundred thirty-one million, nine hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.1948345331916 × 1016
Factors of 11948345331916000
Divisors of 11948345331916000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 70 80 82 98 100 112 125 140 160 164 175 196 200 205 224 245 250 280 287 328 331 350 392 400 410 490 500 560 574 656 662 700 784 800 820 875 980 1000 1025 1120 1148 1225 1312 1324 1400 1435 1568 1640 1655 1681 1750 1960 2000 2009 2050 2296 2317 2450 2648 2800 2870 3280 3310 3362 3500 3920 4000 4018 4100 4592 4634 4900 5125 5296 5600 5740 6125 6560 6620 6724 7000 7175 7840 8036 8200 8275 8405 9184 9268 9800 10045 10250 10592 11480 11585 11767 12250 13240 13448 13571 14000 14350 16072 16219 16400 16550 16810 18536 19600 20090 20500 22960 23170 23534 24500 26480 26896 27142 28000 28700 32144 32438 32800 33100 33620 35875 37072 39200 40180 41000 41375 42025 45920 46340 47068 49000 50225 52960 53792 54284 57400 57925 58835 64288 64876 66200 67240 67855 71750 74144 80360 81095 82000 82369 82750 84050 92680 94136 94997 98000 100450 108568 109561 114800 115850 117670 129752 132400 134480 135710 143500 160720 162190 164000 164738 165500 168100 185360 188272 189994 196000 200900 210125 217136 219122 229600 231700 235340 251125 259504 264800 268960 271420 287000 289625 294175 321440 324380 329476 331000 336200 339275 370720 376544 379988 401800 405475 411845 420250 434272 438244 463400 470680 474985 502250 519008 542840 547805 556411 574000 579250 588350 648760 658952 662000 664979 672400 678550 759976 766927 803600 810950 823690 840500 876488 926800 941360 949970 1004500 1085680 1095610 1112822 1148000 1158500 1176700 1297520 1317904 1324000 1329958 1344800 1357100 1470875 1519952 1533854 1607200 1621900 1647380 1681000 1696375 1752976 1853600 1882720 1899940 2009000 2027375 2059225 2171360 2191220 2225644 2317000 2353400 2374925 2595040 2635808 2659916 2714200 2739025 2782055 2941750 3039904 3067708 3243800 3294760 3324895 3362000 3392750 3505952 3799880 3834635 3894877 4018000 4054750 4118450 4382440 4451288 4492001 4634000 4706800 4749850 5319832 5368489 5428400 5478050 5564110 5883500 6135416 6487600 6589520 6649790 6724000 6785500 7599760 7669270 7789754 8036000 8109500 8236900 8764880 8902576 8984002 9268000 9413600 9499700 10296125 10639664 10736978 10856800 10956100 11128220 11767000 11874625 12270832 12975200 13179040 13299580 13571000 13695125 13910275 15199520 15338540 15579508 16219000 16473800 16624475 17529760 17805152 17968004 18999400 19173175 19474385 20592250 21279328 21473956 21912200 22256440 22460005 23534000 23749250 24541664 26599160 26842445 27142000 27264139 27390250 27820550 30677080 31159016 31444007 32438000 32947600 33248950 35936008 36264691 37998800 38346350 38948770 41184500 42947912 43824400 44512880 44920010 47068000 47498500 53198320 53684890 54284000 54528278 54780500 55641100 61354160 62318032 62888014 64876000 65895200 66497900 69551375 71872016 72529382 75997600 76692700 77897540 82369000 83122375 85895824 87648800 89025760 89840020 94997000 95865875 97371925 106396640 107369780 109056556 109561000 111282200 112300025 122708320 124636064 125776028 132995800 134212225 136320695 139102750 143744032 145058764 153385400 155795080 157220035 164738000 166244750 171791648 179680040 181323455 184172041 189994000 191731750 194743850 214739560 218113112 219122000 220108049 222564400 224600050 251552056 253852837 265991600 268424450 272641390 278205500 290117528 306770800 311590160 314440070 329476000 332489500 359360080 362646910 368344082 379988000 383463500 389487700 429479120 436226224 438244000 440216098 445128800 449200100 486859625 503104112 507705674 531983200 536848900 545282780 556411000 561500125 580235056 613541600 623180320 628880140 664979000 671061125 681603475 718720160 725293820 736688164 766927000 778975400 786100175 858958240 872452448 880432196 898400200 906617275 920860205 973719250 1006208224 1015411348 1073697800 1090565560 1100540245 1112822000 1123000250 1160470112 1257760280 1269264185 1289204287 1329958000 1342122250 1363206950 1450587640 1473376328 1486852331 1533854000 1557950800 1572200350 1760864392 1776969859 1796800400 1813234550 1841720410 1947438500 2030822696 2147395600 2181131120 2201080490 2225644000 2246000500 2515520560 2538528370 2578408574 2659916000 2684244500 2726413900 2901175280 2946752656 2973704662 3067708000 3115901600 3144400700 3408017375 3521728784 3553939718 3593600800 3626469100 3683440820 3894877000 3930500875 4061645392 4294791200 4362262240 4402160980 4492001000 4533086375 4604301025 5031041120 5077056740 5156817148 5368489000 5452827800 5502701225 5802350560 5893505312 5947409324 6288801400 6346320925 6446021435 6816034750 7043457568 7107879436 7252938200 7366881640 7434261655 7789754000 7861001750 8123290784 8804321960 8884849295 8984002000 9024430009 9066172750 9208602050 10154113480 10313634296 10407966317 10736978000 10905655600 11005402450 11894818648 12577602800 12692641850 12892042870 13632069500 14215758872 14505876400 14733763280 14868523310 15579508000 15722003500 17608643920 17769698590 17968004000 18048860018 18132345500 18417204100 20308226960 20627268592 20815932634 21473956000 21811311200 22010804900 23021505125 23789637296 25155205600 25385283700 25784085740 27264139000 27513506125 28431517744 29011752800 29467526560 29737046620 31444007000 31731604625 32230107175 35217287840 35539397180 36097720036 36264691000 36834408200 37171308275 40616453920 41254537184 41631865268 44021609800 44424246475 45122150045 46043010250 47579274592 50770567400 51568171480 52039831585 54528278000 55027012250 56863035488 59474093240 60960945571 62888014000 63463209250 64460214350 71078794360 72195440072 72529382000 72855764219 73668816400 74342616550 83263730536 88043219600 88848492950 90244300090 92086020500 101541134800 103136342960 104079663170 109056556000 110054024500 118948186480 121921891142 125776028000 126926418500 128920428700 142157588720 144390880144 145058764000 145711528438 147337632800 148685233100 161150535875 166527461072 176086439200 177696985900 180488600180 184172041000 185856541375 203082269600 206272685920 208159326340 220108049000 222121232375 225610750225 237896372960 243843782284 253852837000 257840857400 260199157925 284315177440 288781760288 291423056876 297370466200 304804727855 322301071750 333054922144 355393971800 360977200360 364278821095 368344082000 371713082750 416318652680 426726618997 440216098000 444242464750 451221500450 487687564568 507705674000 515681714800 520398315850 582846113752 594740932400 609609455710 644602143500 710787943600 721954400720 728557642190 736688164000 743426165500 832637305360 853453237994 880432196000 888484929500 902443000900 975375129136 1015411348000 1031363429600 1040796631700 1128053751125 1165692227504 1189481864800 1219218911420 1289204287000 1300995789625 1421575887200 1443908801440 1457115284380 1486852331000 1524023639275 1665274610720 1706906475988 1776969859000 1804886001800 1821394105475 1950750258272 2081593263400 2133633094985 2256107502250 2331384455008 2438437822840 2578408574000 2601991579250 2914230568760 2973704662000 2987086332979 3048047278550 3413812951976 3553939718000 3609772003600 3642788210950 4163186526800 4267266189970 4512215004500 4876875645680 5156817148000 5203983158500 5828461137520 5947409324000 5974172665958 6096094557100 6827625903952 7107879436000 7219544007200 7285576421900 7620118196375 8326373053600 8534532379940 9024430009000 9106970527375 9753751291360 10407966317000 10668165474925 11656922275040 11948345331916 12192189114200 13655251807904 14571152843800 14935431664895 15240236392750 17069064759880 18048860018000 18213941054750 20815932634000 21336330949850 23896690663832 24384378228400 29142305687600 29870863329790 30480472785500 34138129519760 36097720036000 36427882109500 41631865268000 42672661899700 47793381327664 48768756456800 53340827374625 58284611375200 59741726659580 60960945571000 68276259039520 72855764219000 74677158324475 85345323799400 95586762655328 106681654749250 119483453319160 121921891142000 145711528438000 149354316648950 170690647598800 213363309498500 238966906638320 243843782284000 291423056876000 298708633297900 341381295197600 373385791622375 426726618997000 477933813276640 597417266595800 746771583244750 853453237994000 1194834533191600 1493543166489500 1706906475988000 2389669066383200 2987086332979000 5974172665958000 11948345331916000
- Sum of all divisors σ(n): 35109392597933472
- Sum of proper divisors (its aliquot sum) s(n): 23161047266017472
- 11948345331916000 is an abundant number, because the sum of its proper divisors (23161047266017472) is greater than itself. Its abundance is 11212701934101472
Bases of 11948345331916000
- Binary: 1010100111001011110100111011110010100110011100111000002
- Hexadecimal: 0x2A72F4EF299CE0
- Base-36: 39NC22HHKV4
Squares and roots of 11948345331916000
- 11948345331916000 squared (119483453319160002) is 142762956170718868208231056000000
- 11948345331916000 cubed (119483453319160003) is 1705781100932937295721800357005539183296000000000
-
The
square root of 11948345331916000 is 109308487.0077159197 -
The
cube root of 11948345331916000 is 228613.8769535393
Scales and comparisons
How big is 11948345331916000?- 11,948,345,331,916,000 seconds is equal to 379,920,422 years, 46 weeks, 4 days, 5 hours, 6 minutes, 40 seconds.
-
To count from 1 to 11,948,345,331,916,000 would take you about one billion, one hundred thirty-nine million, seven hundred sixty-one thousand, two hundred sixty-eight 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 11948345331916000 cubic inches would be around 19051.2 feet tall.
Recreational maths with 11948345331916000
- 11948345331916000 backwards is 00061913354384911
- The number of decimal digits it has is: 17
- The sum of 11948345331916000's digits is 58
- More coming soon!
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The information we have on file for 11948345331916000 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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