138461243816000
138,461,243,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138461243816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
138461243816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138461243816000:
26 × 53 × 7 × 17 × 31 × 61 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 31 × 61 × 76913)See below for interesting mathematical facts about the number 138461243816000 from the Numbermatics database.
Names of 138461243816000
- Cardinal: 138461243816000 can be written as One hundred thirty-eight trillion, four hundred sixty-one billion, two hundred forty-three million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38461243816 × 1014
Factors of 138461243816000
Divisors of 138461243816000
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 50 56 61 62 64 68 70 80 85 100 112 119 122 124 125 136 140 155 160 170 175 200 217 224 238 244 248 250 272 280 305 310 320 340 350 400 425 427 434 448 476 488 496 500 527 544 560 595 610 620 680 700 775 800 850 854 868 875 952 976 992 1000 1037 1054 1085 1088 1120 1190 1220 1240 1360 1400 1525 1550 1600 1700 1708 1736 1750 1891 1904 1952 1984 2000 2074 2108 2125 2135 2170 2240 2380 2440 2480 2635 2720 2800 2975 3050 3100 3400 3416 3472 3500 3689 3782 3808 3875 3904 4000 4148 4216 4250 4270 4340 4760 4880 4960 5185 5270 5425 5440 5600 5950 6100 6200 6800 6832 6944 7000 7259 7378 7564 7616 7625 7750 8000 8296 8432 8500 8540 8680 9455 9520 9760 9920 10370 10540 10675 10850 11200 11900 12200 12400 13175 13237 13600 13664 13888 14000 14518 14756 14875 15128 15250 15500 16592 16864 17000 17080 17360 18445 18910 19040 19520 20740 21080 21350 21700 23800 24400 24800 25925 26350 26474 27125 27200 27328 28000 29036 29512 29750 30256 30500 31000 32147 33184 33728 34000 34160 34720 36295 36890 37820 38080 41480 42160 42700 43400 47275 47600 48800 49600 51850 52700 52948 53375 54250 56000 58072 59024 59500 60512 61000 62000 64294 65875 66185 66368 68000 68320 69440 72590 73780 75640 76913 82960 84320 85400 86800 92225 94550 95200 97600 103700 105400 105896 106750 108500 116144 118048 119000 121024 122000 124000 128588 129625 131750 132370 136000 136640 145180 147560 151280 153826 160735 165920 168640 170800 173600 181475 184450 189100 190400 207400 210800 211792 213500 217000 225029 232288 236096 236375 238000 244000 248000 257176 259250 263500 264740 290360 295120 302560 307652 321470 330925 331840 341600 347200 362950 368900 378200 384565 414800 421600 423584 427000 434000 450058 461125 464576 472750 476000 488000 514352 518500 527000 529480 538391 580720 590240 605120 615304 642940 661850 683200 725900 737800 756400 769130 803675 829600 843200 847168 854000 868000 900116 907375 922250 945500 952000 1028704 1037000 1054000 1058960 1076782 1125145 1161440 1180480 1230608 1285880 1307521 1323700 1451800 1475600 1512800 1538260 1607350 1654625 1659200 1708000 1736000 1800232 1814750 1844500 1891000 1922825 2057408 2074000 2108000 2117920 2153564 2250290 2322880 2384303 2461216 2571760 2615042 2647400 2691955 2903600 2951200 3025600 3076520 3214700 3309250 3416000 3600464 3629500 3689000 3782000 3845650 4018375 4148000 4216000 4235840 4307128 4500580 4691693 4768606 4922432 5143520 5230084 5294800 5383910 5625725 5807200 5902400 6153040 6429400 6537605 6618500 7200928 7259000 7378000 7564000 7691300 8036750 8296000 8614256 9001160 9152647 9383386 9537212 9614125 10287040 10460168 10589600 10767820 11251450 11614400 11921515 12306080 12858800 13075210 13237000 13459775 14401856 14518000 14756000 15128000 15382600 16073500 16690121 17228512 18002320 18305294 18766772 19074424 19228250 20920336 21179200 21535640 22502900 23458465 23843030 24612160 25717600 26150420 26474000 26919550 28128625 29036000 29512000 30765200 32147000 32688025 32841851 33380242 34457024 36004640 36610588 37533544 38148848 38456500 40533151 41840672 43071280 45005800 45763235 46916930 47686060 51435200 52300840 52948000 53839100 56257250 58072000 59607575 61530400 64294000 65376050 65683702 66760484 67298875 72009280 73221176 75067088 76297696 76913000 79758781 81066302 83450605 83681344 86142560 90011600 91526470 93833860 95372120 104601680 105896000 107678200 112514500 117292325 119215150 123060800 128588000 130752100 131367404 133520968 134597750 145442483 146442352 150134176 152595392 153826000 159517562 162132604 163440125 164209255 166901210 172285120 180023200 183052940 187667720 190744240 202665755 209203360 215356400 225029000 228816175 234584650 238430300 257176000 261504200 262734808 267041936 269195500 283732057 290884966 292884704 298037875 300268352 307652000 319035124 324265208 326880250 328418510 333802420 360046400 366105880 375335440 381488480 398793905 405331510 417253025 418406720 430712800 450058000 457632350 469169300 476860600 523008400 525469616 534083872 538391000 558311467 567464114 581769932 585769408 586461625 596075750 615304000 638070248 648530416 653760500 656837020 667604840 727212415 732211760 750670880 762976960 797587810 810663020 821046275 834506050 861425600 900116000 915264700 938338600 953721200 1013328775 1018097381 1046016800 1050939232 1068167744 1076782000 1116622934 1134928228 1144080875 1163539864 1172923250 1192151500 1276140496 1297060832 1307521000 1313674040 1335209680 1418660285 1454424830 1464423520 1501341760 1595175620 1621326040 1642092550 1669012100 1800232000 1830529400 1876677200 1907442400 1993969525 2026657550 2036194762 2086265125 2092033600 2101878464 2153564000 2233245868 2269856456 2288161750 2327079728 2345846500 2384303000 2472522211 2552280992 2594121664 2615042000 2627348080 2670419360 2791557335 2837320570 2908849660 2928847040 3190351240 3242652080 3284185100 3338024200 3636062075 3661058800 3753354400 3814884800 3987939050 4053315100 4072389524 4105231375 4172530250 4307128000 4466491736 4539712912 4576323500 4654159456 4691693000 4768606000 4945044422 5066643875 5090486905 5104561984 5230084000 5254696160 5340838720 5583114670 5674641140 5817699320 6380702480 6485304160 6568370200 6676048400 7093301425 7272124150 7322117600 7506708800 7975878100 8106630200 8144779048 8210462750 8345060500 8932983472 9079425824 9152647000 9308318912 9383386000 9537212000 9890088844 9969847625 10133287750 10180973810 10460168000 10509392320 11166229340 11349282280 11635398640 12362611055 12761404960 12970608320 13136740400 13352096800 13957786675 14186602850 14544248300 14644235200 15951756200 16213260400 16289558096 16420925500 16690121000 17307655477 17865966944 18158851648 18180310375 18305294000 18766772000 19074424000 19780177688 19939695250 20266575500 20361947620 22332458680 22698564560 23270797280 24725222110 25452434525 25522809920 26273480800 26704193600 27915573350 28373205700 29088496600 31903512400 32426520800 32579116192 32841851000 33380242000 34615310954 35466507125 35731933888 36360620750 36610588000 37533544000 39560355376 39879390500 40533151000 40723895240 44664917360 45397129120 46541594560 49450444220 50904869050 52546961600 55831146700 56746411400 58176993200 61813055275 63807024800 64853041600 65158232384 65683702000 66760484000 69230621908 69788933375 70933014250 72721241500 73221176000 79120710752 79758781000 81066302000 81447790480 86538277385 89329834720 90794258240 98900888440 101809738100 111662293400 113492822800 116353986400 123626110550 127262172625 127614049600 131367404000 133520968000 138461243816 139577866750 141866028500 145442483000 158241421504 159517562000 162132604000 162895580960 173076554770 178659669440 197801776880 203619476200 223324586800 226985645600 232707972800 247252221100 254524345250 262734808000 276922487632 279155733500 283732057000 290884966000 309065276375 319035124000 324265208000 325791161920 346153109540 395603553760 407238952400 432691386925 446649173600 453971291200 494504442200 509048690500 553844975264 558311467000 567464114000 581769932000 618130552750 638070248000 692306219080 791207107520 814477904800 865382773850 893298347200 989008884400 1018097381000 1107689950528 1116622934000 1134928228000 1163539864000 1236261105500 1384612438160 1628955809600 1730765547700 1978017768800 2036194762000 2163456934625 2233245868000 2269856456000 2472522211000 2769224876320 3461531095400 3956035537600 4072389524000 4326913869250 4466491736000 4945044422000 5538449752640 6923062190800 8144779048000 8653827738500 9890088844000 13846124381600 17307655477000 19780177688000 27692248763200 34615310954000 69230621908000 138461243816000
- Sum of all divisors σ(n): 435349326716928
- Sum of proper divisors (its aliquot sum) s(n): 296888082900928
- 138461243816000 is an abundant number, because the sum of its proper divisors (296888082900928) is greater than itself. Its abundance is 158426839084928
Bases of 138461243816000
- Binary: 111110111101110000001010100000010111000010000002
- Hexadecimal: 0x7DEE0540B840
- Base-36: 1D2W7TLRNK
Squares and roots of 138461243816000
- 138461243816000 squared (1384612438160002) is 19171516039073798241856000000
- 138461243816000 cubed (1384612438160003) is 2654511956608551761182815752362496000000000
-
The
square root of 138461243816000 is 11766955.5882564627 -
The
cube root of 138461243816000 is 51734.0020800395
Scales and comparisons
How big is 138461243816000?- 138,461,243,816,000 seconds is equal to 4,402,639 years, 13 weeks, 5 days, 7 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,461,243,816,000 would take you about eleven million, six thousand, five hundred ninety-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 138461243816000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138461243816000
- 138461243816000 backwards is 000618342164831
- The number of decimal digits it has is: 15
- The sum of 138461243816000's digits is 47
- More coming soon!
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The information we have on file for 138461243816000 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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