4138387812000

Names of 4138387812000

• Cardinal: 4138387812000 can be written as Four trillion, one hundred thirty-eight billion, three hundred eighty-seven million, eight hundred twelve thousand.

Scientific notation

• Scientific notation: 4.138387812 × 10¹²

Factors of 4138387812000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4302

Divisors of 4138387812000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 32 36 39 40 45 48 50 52 58 60 65 72 73 75 78 80 87 90 96 100 104 116 117 120 125 130 144 145 146 150 156 160 174 180 195 200 208 219 225 232 234 240 250 260 261 288 290 292 300 312 325 348 360 365 375 377 390 400 416 435 438 450 464 468 480 500 520 522 580 584 585 600 624 650 657 696 720 725 730 750 754 780 800 870 876 900 928 936 949 975 1000 1040 1044 1095 1125 1131 1160 1168 1170 1200 1248 1300 1305 1314 1392 1440 1450 1460 1500 1508 1560 1625 1740 1752 1800 1825 1872 1885 1898 1950 2000 2080 2088 2117 2175 2190 2250 2262 2320 2336 2340 2400 2600 2610 2628 2784 2847 2900 2920 2925 3000 3016 3120 3250 3285 3393 3480 3504 3600 3625 3650 3744 3770 3796 3900 4000 4176 4177 4234 4350 4380 4500 4524 4640 4680 4745 4875 5200 5220 5256 5475 5655 5694 5800 5840 5850 6000 6032 6240 6351 6500 6525 6570 6786 6960 7008 7200 7250 7300 7540 7592 7800 8352 8354 8468 8541 8700 8760 9000 9048 9125 9360 9425 9490 9750 10400 10440 10512 10585 10875 10950 11310 11388 11600 11680 11700 12000 12064 12531 12702 13000 13050 13140 13572 13920 14235 14500 14600 14625 15080 15184 15600 16425 16708 16936 16965 17082 17400 17520 18000 18096 18250 18720 18850 18980 19053 19500 20880 20885 21024 21170 21750 21900 22620 22776 23200 23400 23725 25062 25404 26000 26100 26280 27144 27375 27521 28275 28470 29000 29200 29250 30160 30368 31200 31755 32625 32850 33416 33872 33930 34164 34800 35040 36000 36192 36500 37593 37700 37960 38106 39000 41760 41770 42340 42705 43500 43800 45240 45552 46800 47125 47450 50124 50808 52000 52200 52560 52925 54288 54301 54750 55042 56550 56940 58000 58400 58500 60320 62655 63510 65250 65700 66832 67744 67860 68328 69600 71175 73000 75186 75400 75920 76212 78000 82125 82563 83540 84680 84825 85410 87000 87600 90480 91104 93600 94250 94900 95265 100248 101616 104400 104425 105120 105850 108576 108602 109500 110084 113100 113880 116000 117000 118625 121133 125310 127020 130500 131400 133664 135720 136656 137605 141375 142350 146000 150372 150800 151840 152424 156000 158775 162903 164250 165126 167080 169360 169650 170820 174000 175200 180960 187965 188500 189800 190530 200496 203232 208800 208850 211700 213525 217204 219000 220168 226200 227760 234000 237250 242266 247689 250620 254040 261000 262800 264625 271440 271505 273312 275210 282750 284700 292000 300744 301600 304848 304921 313275 317550 325806 328500 330252 334160 338720 339300 341640 348000 355875 363399 375930 377000 379600 381060 400992 412815 417700 423400 424125 427050 434408 438000 440336 452400 455520 468000 474500 476325 484532 488709 495378 501240 508080 522000 522125 525600 529250 542880 543010 550420 565500 569400 601488 605665 609696 609842 626550 635100 651612 657000 660504 668320 678600 683280 688025 711750 726798 751860 754000 759200 762120 793875 814515 825630 835400 846800 848250 854100 868816 876000 880672 904800 914763 939825 949000 952650 969064 977418 990756 1002480 1016160 1044000 1044250 1058500 1067625 1086020 1090197 1100840 1131000 1138800 1202976 1211330 1219684 1238445 1253100 1270200 1303224 1314000 1321008 1357200 1357525 1366560 1376050 1423500 1453596 1503720 1508000 1524240 1524605 1566375 1574729 1587750 1629030 1651260 1670800 1693600 1696500 1708200 1737632 1816995 1829526 1879650 1898000 1905300 1938128 1954836 1981512 2004960 2064075 2088500 2117000 2135250 2172040 2180394 2201680 2262000 2277600 2381625 2422660 2439368 2443545 2476890 2506200 2540400 2606448 2628000 2642016 2714400 2715050 2744289 2752100 2847000 2907192 3007440 3028325 3048480 3049210 3132750 3149458 3175500 3258060 3302520 3341600 3393000 3416400 3440125 3633990 3659052 3759300 3796000 3810600 3876256 3909672 3963024 3963973 4072575 4128150 4177000 4234000 4270500 4344080 4360788 4403360 4524000 4573815 4699125 4724187 4763250 4845320 4878736 4887090 4953780 5012400 5080800 5212896 5430100 5450985 5488578 5504200 5694000 5814384 6014880 6056650 6098420 6192225 6265500 6298916 6351000 6516120 6605040 6786000 6787625 6832800 6880250 7267980 7318104 7518600 7621200 7623025 7819344 7873645 7926048 7927946 8145150 8256300 8354000 8468000 8541000 8688160 8721576 8842709 9084975 9147630 9398250 9448374 9526500 9690640 9757472 9774180 9907560 10024800 10320375 10860200 10901970 10977156 11008400 11388000 11628768 11891919 12113300 12196840 12217725 12384450 12531000 12597832 12702000 13032240 13210080 13572000 13575250 13721445 13760500 14172561 14535960 14636208 15037200 15141625 15242400 15246050 15638688 15747290 15855892 16290300 16512600 16708000 17082000 17443152 17685418 18169950 18295260 18796500 18896748 19053000 19381280 19548360 19815120 19819865 20362875 20640750 21720400 21803940 21954312 22016800 22869075 23620935 23783838 24226600 24393680 24435450 24768900 25062000 25195664 25404000 26064480 26528127 27150500 27254925 27442890 27521000 28345122 29071920 29272416 30074400 30283250 30492100 30961125 31494580 31711784 32580600 33025200 34164000 34886304 35370836 35675757 36339900 36590520 37593000 37793496 38106000 38115125 39096720 39368225 39630240 39639730 40725750 41281500 43440800 43607880 43908624 44213545 45424875 45738150 47241870 47567676 48453200 48787360 48870900 49537800 50124000 50391328 53056254 54301000 54509850 54885780 55042000 56690244 58143840 59459595 60566500 60984200 61088625 61922250 62989160 63423568 65161200 66050400 68607225 70741672 70862805 71351514 72679800 73181040 75186000 75586992 76212000 76230250 78193440 78736450 79279460 79584381 81451500 82563000 87215760 87817248 88427090 90849750 91476300 94483740 95135352 96906400 97741800 99075600 99099325 106112508 108602000 109019700 109771560 110084000 113380488 114345375 114955217 118104675 118919190 121133000 121968400 122177250 123844500 125978320 126847136 130322400 132640635 136274625 137214450 141483344 141725610 142703028 145359600 146362080 150372000 151173984 152460500 157472900 158558920 159168762 162903000 165126000 174431520 176854180 178378785 181699500 182952600 188967480 190270704 195483600 196841125 198151200 198198650 212225016 217204000 218039400 219543120 221067725 226760976 228690750 229910434 236209350 237838380 242266000 243936800 244354500 247689000 251956640 265281270 272549250 274428900 282966688 283451220 285406056 290719200 297297975 304921000 314945800 317117840 318337524 325806000 330252000 343036125 344865651 353708360 354314025 356757570 363399000 365905200 377934960 380541408 390967200 393682250 396397300 397921905 424450032 436078800 439086240 442135450 453521952 457381500 459820868 472418700 475676760 484532000 488709000 495378000 495496625 530562540 545098500 548857800 566902440 570812112 574776085 590523375 594595950 609842000 629891600 634235680 636675048 651612000 663203175 686072250 689731302 707416720 708628050 713515140 726798000 731810400 755869920 787364500 792794600 795843810 848900064 872157600 884270900 891893925 914763000 919641736 944837400 951353520 977418000 990756000 990993250 1034596953 1061125080 1090197000 1097715600 1105338625 1133804880 1141624224 1149552170 1181046750 1189191900 1219684000 1259783200 1273350096 1326406350 1372144500 1379462604 1414833440 1417256100 1427030280 1453596000 1486489875 1574729000 1585589200 1591687620 1724328255 1768541800 1771570125 1783787850 1829526000 1839283472 1889674800 1902707040 1954836000 1981986500 1989609525 2069193906 2122250160 2180394000 2195431200 2210677250 2267609760 2299104340 2362093500 2378383800 2546700192 2652812700 2744289000 2758925208 2834512200 2854060560 2873880425 2972979750 3149458000 3171178400 3183375240 3316015875 3448656510 3537083600 3543140250 3567575700 3659052000 3678566944 3779349600 3963973000 3979219050 4138387812 4244500320 4360788000 4421354500 4459469625 4598208680 4724187000 4756767600 5172984765 5305625400 5488578000 5517850416 5669024400 5708121120 5747760850 5945959500 6298916000 6366750480 6632031750 6897313020 7074167200 7086280500 7135151400 7927946000 7958438100 8276775624 8621641275 8842709000 8918939250 9196417360 9448374000 9513535200 9948047625 10345969530 10611250800 10977156000 11035700832 11338048800 11495521700 11891919000 12733500960 13264063500 13794626040 14172561000 14270302800 14369402125 15855892000 15916876200 16553551248 17243282550 17685418000 17837878500 18392834720 18896748000 19896095250 20691939060 21222501600 22991043400 23783838000 25864923825 26528127000 27589252080 28345122000 28540605600 28738804250 31833752400 33107102496 34486565100 35370836000 35675757000 39792190500 41383878120 43108206375 45982086800 47567676000 51729847650 53056254000 55178504160 56690244000 57477608500 63667504800 68973130200 71351514000 79584381000 82767756240 86216412750 91964173600 103459695300 106112508000 114955217000 129324619125 137946260400 142703028000 159168762000 165535512480 172432825500 206919390600 229910434000 258649238250 275892520800 318337524000 344865651000 413838781200 459820868000 517298476500 689731302000 827677562400 1034596953000 1379462604000 2069193906000 4138387812000
• Sum of all divisors σ(n): 16590441591360
• Sum of proper divisors (its aliquot sum) s(n): 12452053779360
• 4138387812000 is an abundant number, because the sum of its proper divisors (12452053779360) is greater than itself. Its abundance is 8313665967360

Bases of 4138387812000

• Binary: 111100001110001011001000101010111010100000₂
• Hexadecimal: 0x3C38B22AEA0
• Base-36: 1GT5D9480

Squares and roots of 4138387812000

• 4138387812000 squared (4138387812000²) is 17126253682510147344000000
• 4138387812000 cubed (4138387812000³) is 70875079504920111334733771328000000000
• The square root of 4138387812000 is 2034302.7827734985
• The cube root of 4138387812000 is 16055.0031626265

Scales and comparisons

• 4,138,387,812,000 seconds is equal to 131,587 years, 48 weeks, 3 days, 2 hours.
• To count from 1 to 4,138,387,812,000 would take you about three hundred twenty-eight thousand, nine hundred sixty-nine 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 4138387812000 cubic inches would be around 1337.9 feet tall.

Recreational maths with 4138387812000

• 4138387812000 backwards is 0002187838314
• 4138387812000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4138387812000's digits is 45
• More coming soon!