138014887070721600
138,014,887,070,721,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138014887070721600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
138014887070721600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138014887070721600:
26 × 33 × 52 × 31 × 7963 × 12942071
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 7963 × 12942071)See below for interesting mathematical facts about the number 138014887070721600 from the Numbermatics database.
Names of 138014887070721600
- Cardinal: 138014887070721600 can be written as One hundred thirty-eight quadrillion, fourteen trillion, eight hundred eighty-seven billion, seventy million, seven hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.380148870707216 × 1017
Factors of 138014887070721600
Divisors of 138014887070721600
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 135 144 150 155 160 180 186 192 200 216 225 240 248 270 279 288 300 310 320 360 372 400 432 450 465 480 496 540 558 576 600 620 675 720 744 775 800 837 864 900 930 960 992 1080 1116 1200 1240 1350 1395 1440 1488 1550 1600 1674 1728 1800 1860 1984 2160 2232 2325 2400 2480 2700 2790 2880 2976 3100 3348 3600 3720 4185 4320 4464 4650 4800 4960 5400 5580 5952 6200 6696 6975 7200 7440 7963 8370 8640 8928 9300 9920 10800 11160 12400 13392 13950 14400 14880 15926 16740 17856 18600 20925 21600 22320 23889 24800 26784 27900 29760 31852 33480 37200 39815 41850 43200 44640 47778 49600 53568 55800 63704 66960 71667 74400 79630 83700 89280 95556 111600 119445 127408 133920 143334 148800 159260 167400 191112 199075 215001 223200 238890 246853 254816 267840 286668 318520 334800 358335 382224 398150 430002 446400 477780 493706 509632 573336 597225 637040 669600 716670 740559 764448 796300 860004 955560 987412 1075005 1146672 1194450 1234265 1274080 1339200 1433340 1481118 1528896 1592600 1720008 1791675 1911120 1974824 2150010 2221677 2293344 2388900 2468530 2548160 2866680 2962236 3185200 3440016 3583350 3702795 3822240 3949648 4300020 4443354 4586688 4777800 4937060 5375025 5733360 5924472 6171325 6370400 6665031 6880032 7166700 7405590 7644480 7899296 8600040 8886708 9555600 9874120 10750050 11108385 11466720 11848944 12342650 12740800 12942071 13330062 13760064 14333400 14811180 15798592 17200080 17773416 18513975 19111200 19748240 21500100 22216770 22933440 23697888 24685300 25884142 26660124 28666800 29622360 33325155 34400160 35546832 37027950 38222400 38826213 39496480 43000200 44433540 47395776 49370600 51768284 53320248 55541925 57333600 59244720 64710355 66650310 68800320 71093664 74055900 77652426 78992960 86000400 88867080 98741200 103536568 106640496 111083850 114667200 116478639 118489440 129420710 133300620 142187328 148111800 155304852 166625775 172000800 177734160 194131065 197482400 207073136 213280992 222167700 232957278 236978880 258841420 266601240 296223600 310609704 323551775 333251550 344001600 349435917 355468320 388262130 394964800 401204201 414146272 426561984 444335400 465914556 517682840 533202480 582393195 592447200 621219408 647103550 666503100 698871834 710936640 776524260 802408402 828292544 888670800 931829112 970655325 1035365680 1066404960 1164786390 1184894400 1203612603 1242438816 1294207100 1333006200 1397743668 1553048520 1604816804 1747179585 1777341600 1863658224 1941310650 2006021005 2070731360 2132809920 2329572780 2407225206 2484877632 2588414200 2666012400 2795487336 2911965975 3106097040 3209633608 3494359170 3554683200 3610837809 3727316448 3882621300 4012042010 4141462720 4659145560 4814450412 5176828400 5332024800 5590974672 5823931950 6018063015 6212194080 6419267216 6988718340 7221675618 7454632896 7765242600 8024084020 8735897925 9318291120 9628900824 10030105025 10353656800 10664049600 10832513427 11181949344 11647863900 12036126030 12424388160 12838534432 13977436680 14443351236 15530485200 16048168040 17471795850 18054189045 18636582240 19257801648 20060210050 20707313600 21665026854 22363898688 23295727800 24072252060 25677068864 27954873360 28886702472 30090315075 31060970400 32096336080 34943591700 36108378090 37273164480 38515603296 40120420100 43330053708 46591455600 48144504120 54162567135 55909746720 57773404944 60180630150 62121940800 64192672160 69887183400 72216756180 77031206592 80240840200 86660107416 90270945225 93182911200 96289008240 103057711373 108325134270 111819493440 115546809888 120361260300 128385344320 139774366800 144433512360 160481680400 173320214832 180541890450 186365822400 192578016480 206115422746 216650268540 231093619776 240722520600 270812835675 279548733600 288867024720 309173134119 320963360800 346640429664 361083780900 385156032960 412230845492 433300537080 481445041200 515288556865 541625671350 559097467200 577734049440 618346268238 641926721600 693280859328 722167561800 824461690984 866601074160 927519402357 962890082400 1030577113730 1083251342700 1155468098880 1236692536476 1444335123600 1545865670595 1648923381968 1733202148320 1855038804714 1925780164800 2061154227460 2166502685400 2473385072952 2576442784325 2782558207071 2888670247200 3091731341190 3194789052563 3297846763936 3466404296640 3710077609428 4122308454920 4333005370800 4637597011785 4946770145904 5152885568650 5565116414142 5777340494400 6183462682380 6389578105126 6595693527872 7420155218856 7729328352975 8244616909840 8666010741600 9275194023570 9584367157689 9893540291808 10305771137300 11130232828284 12366925364760 12779156210252 13912791035355 14840310437712 15458656705950 15973945262815 16489233819680 17332021483200 18550388047140 19168734315378 19787080583616 20611542274600 22260465656568 23187985058925 24733850729520 25558312420504 27825582070710 28753101473067 29680620875424 30917313411900 31947890525630 32978467639360 37100776094280 38337468630756 41223084549200 44520931313136 46375970117850 47921835788445 49467701459040 51116624841008 55651164141420 57506202946134 59361241750848 61834626823800 63895781051260 69563955176775 74201552188560 76674937261512 79869726314075 82446169098400 86259304419201 89041862626272 92751940235700 95843671576890 98935402918080 102233249682016 111302328282840 115012405892268 123669253647600 127791562102520 139127910353550 143765507365335 148403104377120 153349874523024 159739452628150 164892338196800 172518608838402 178083725252544 185503880471400 191687343153780 204466499364032 222604656565680 230024811784536 239609178942225 247338507295200 255583124205040 278255820707100 287531014730670 296806208754240 306699749046048 319478905256300 345037217676804 371007760942800 383374686307560 431296522096005 445209313131360 460049623569072 479218357884450 494677014590400 511166248410080 556511641414200 575062029461340 613399498092096 638957810512600 690074435353608 718827536826675 742015521885600 766749372615120 862593044192010 890418626262720 920099247138144 958436715768900 1022332496820160 1113023282828400 1150124058922680 1277915621025200 1380148870707216 1437655073653350 1484031043771200 1533498745230240 1725186088384020 1840198494276288 1916873431537800 2156482610480025 2226046565656800 2300248117845360 2555831242050400 2760297741414432 2875310147306700 3066997490460480 3450372176768040 3833746863075600 4312965220960050 4452093131313600 4600496235690720 5111662484100800 5520595482828864 5750620294613400 6900744353536080 7667493726151200 8625930441920100 9200992471381440 11501240589226800 13801488707072160 15334987452302400 17251860883840200 23002481178453600 27602977414144320 34503721767680400 46004962356907200 69007443535360800 138014887070721600
- Sum of all divisors σ(n): 519410168273018880
- Sum of proper divisors (its aliquot sum) s(n): 381395281202297280
- 138014887070721600 is an abundant number, because the sum of its proper divisors (381395281202297280) is greater than itself. Its abundance is 243380394131575680
Bases of 138014887070721600
- Binary: 1111010100101001111001110111111011001000011100110010000002
- Hexadecimal: 0x1EA53CEFD90E640
- Base-36: 11QY6ZTV4EO0
Squares and roots of 138014887070721600
- 138014887070721600 squared (1380148870707216002) is 19048109053144036269919944706560000
- 138014887070721600 cubed (1380148870707216003) is 2628922619880463909729733943188896920279453696000000
-
The
square root of 138014887070721600 is 371503549.2033980555 -
The
cube root of 138014887070721600 is 516783.5069739647
Scales and comparisons
How big is 138014887070721600?- 138,014,887,070,721,600 seconds is equal to 4,388,446,500 years, 40 weeks, 1 day, 12 hours.
-
To count from 1 to 138,014,887,070,721,600 would take you about thirteen billion, one hundred sixty-five million, three hundred thirty-nine thousand, five hundred two 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 138014887070721600 cubic inches would be around 43065.3 feet tall.
Recreational maths with 138014887070721600
- 138014887070721600 backwards is 006127070788410831
- The number of decimal digits it has is: 18
- The sum of 138014887070721600's digits is 63
- More coming soon!
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The information we have on file for 138014887070721600 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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