138261616147200

Names of 138261616147200

• Cardinal: 138261616147200 can be written as One hundred thirty-eight trillion, two hundred sixty-one billion, six hundred sixteen million, one hundred forty-seven thousand, two hundred.

Scientific notation

• Scientific notation: 1.382616161472 × 10¹⁴

Factors of 138261616147200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 17882

Divisors of 138261616147200

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 256 260 273 280 300 312 320 325 336 350 364 384 390 400 416 420 448 455 480 520 525 546 560 600 624 640 650 672 700 728 768 780 800 832 840 896 910 960 975 1040 1050 1092 1120 1200 1248 1280 1300 1344 1365 1400 1456 1560 1600 1664 1680 1792 1820 1920 1950 2080 2100 2184 2240 2275 2400 2496 2600 2688 2730 2800 2912 3120 3200 3328 3360 3640 3840 3900 4160 4200 4368 4480 4550 4800 4992 5200 5376 5460 5600 5824 6240 6400 6720 6825 7280 7800 8191 8320 8400 8736 8960 9100 9600 9661 9984 10400 10920 11200 11648 12480 13440 13650 14560 15600 16382 16640 16800 17472 18200 19200 19322 20800 21840 22400 23296 24573 24960 26880 27300 28983 29120 31200 32764 33600 34944 36400 38644 40955 41600 43680 44800 48305 49146 49920 54600 57337 57966 58240 62400 65528 67200 67627 69888 72800 77288 81910 83200 87360 96610 98292 106483 109200 114674 115932 116480 122865 124800 125593 131056 134400 135254 144915 145600 154576 163820 172011 174720 193220 196584 202881 204775 212966 218400 229348 231864 241525 245730 249600 251186 262112 270508 286685 289830 291200 309152 319449 327640 338135 344022 349440 376779 386440 393168 405762 409550 425932 436800 458696 463728 483050 491460 502372 524224 532415 541016 573370 579660 582400 614325 618304 627965 638898 655280 676270 688044 724575 745381 753558 772880 786336 811524 819100 851864 860055 873600 879151 917392 927456 966100 982920 1004744 1014405 1048448 1064830 1082032 1146740 1159320 1228650 1236608 1255930 1277796 1310560 1352540 1376088 1433425 1449150 1490762 1507116 1545760 1572672 1597245 1623048 1638200 1690675 1703728 1720110 1747200 1758302 1834784 1854912 1883895 1932200 1965840 2009488 2028810 2096896 2129660 2164064 2236143 2293480 2318640 2457300 2473216 2511860 2555592 2621120 2637453 2662075 2705080 2752176 2866850 2898300 2981524 3014232 3091520 3139825 3145344 3194490 3246096 3276400 3381350 3407456 3440220 3516604 3669568 3709824 3726905 3767790 3864400 3931680 4018976 4057620 4259320 4300275 4328128 4395755 4472286 4586960 4637280 4914600 5023720 5072025 5111184 5242240 5274906 5324150 5410160 5504352 5733700 5796600 5963048 6028464 6183040 6279650 6290688 6388980 6492192 6552800 6762700 6814912 6880440 7033208 7339136 7419648 7453810 7535580 7728800 7863360 7986225 8037952 8115240 8518640 8600550 8656256 8791510 8944572 9173920 9274560 9419475 9829200 10047440 10144050 10222368 10484480 10549812 10648300 10820320 11008704 11180715 11467400 11593200 11926096 12056928 12366080 12559300 12777960 12984384 13105600 13187265 13525400 13629824 13760880 14066416 14678272 14907620 15071160 15457600 15726720 15972450 16075904 16230480 17037280 17201100 17312512 17583020 17889144 18347840 18549120 18634525 18838950 19658400 20094880 20288100 20444736 21099624 21296600 21640640 21978775 22017408 22361430 22934800 23186400 23852192 24113856 25118600 25555920 25968768 26211200 26374530 27050800 27259648 27521760 28132832 29815240 30142320 30915200 31453440 31944900 32151808 32460960 34074560 34402200 35166040 35778288 36695680 37098240 37269050 37677900 39316800 40189760 40576200 40889472 42199248 42593200 43281280 43957550 44034816 44722860 45869600 46372800 47704384 48227712 50237200 51111840 51937536 52422400 52749060 54101600 55043520 55903575 56265664 59630480 60284640 61830400 63889800 64921920 65936325 68149120 68804400 70332080 71556576 73391360 74538100 75355800 78633600 79133251 80379520 81152400 81778944 84398496 85186400 86562560 87915100 89445720 91739200 92745600 95408768 96455424 100474400 102223680 105498120 108203200 110087040 111807150 112531328 119260960 120569280 127779600 129843840 131872650 136298240 137608800 140664160 143113152 149076200 150711600 157267200 158266502 160759040 162304800 168796992 170372800 175830200 178891440 183478400 185491200 190817536 200948800 204447360 210996240 216406400 220174080 223614300 225062656 237399753 238521920 241138560 255559200 259687680 263745300 275217600 281328320 286226304 298152400 301423200 316533004 324609600 337593984 340745600 351660400 357782880 366956800 395666255 401897600 408894720 421992480 432812800 447228600 474799506 477043840 482277120 511118400 527490600 550435200 553932757 562656640 572452608 596304800 602846400 633066008 649219200 675187968 681491200 703320800 715565760 791332510 803795200 843984960 894457200 949599012 954087680 1022236800 1028732263 1054981200 1100870400 1107865514 1125313280 1186998765 1192609600 1205692800 1266132016 1298438400 1406641600 1431131520 1582665020 1661798271 1687969920 1788914400 1899198024 1978331275 2044473600 2057464526 2109962400 2215731028 2373997530 2385219200 2411385600 2532264032 2769663785 2813283200 2862263040 3086196789 3165330040 3323596542 3375939840 3577828800 3798396048 3956662550 4114929052 4219924800 4431462056 4747995060 4770438400 5064528064 5143661315 5539327570 5626566400 5934993825 6172393578 6330660080 6647193084 7155657600 7201125841 7596792096 7913325100 8229858104 8308991355 8439849600 8862924112 9495990120 10129056128 10287322630 11078655140 11869987650 12344787156 12661320160 13294386168 13848318925 14311315200 14402251682 15193584192 15430983945 15826650200 16459716208 16617982710 16879699200 17725848224 18991980240 20258112256 20574645260 21603377523 22157310280 23739975300 24689574312 25322640320 25718306575 26588772336 27696637850 28804503364 30387168384 30861967890 31653300400 32919432416 33235965420 35451696448 36005629205 37983960480 41149290520 41544956775 43206755046 44314620560 47479950600 49379148624 50645280640 51436613150 53177544672 55393275700 57609006728 60774336768 61723935780 63306600800 65838864832 66471930840 70903392896 72011258410 75967920960 77154919725 82298581040 83089913550 86413510092 88629241120 94959901200 98758297248 101290561280 102873226300 106355089344 108016887615 110786551400 115218013456 123447871560 126613201600 131677729664 132943861680 141806785792 144022516820 151935841920 154309839450 164597162080 166179827100 172827020184 177258482240 180028146025 189919802400 197516594496 205746452600 212710178688 216033775230 221573102800 230436026912 246895743120 253226403200 263355459328 265887723360 288045033640 303871683840 308619678900 329194324160 332359654200 345654040368 354516964480 360056292050 379839604800 395033188992 411492905200 425420357376 432067550460 443146205600 460872053824 493791486240 506452806400 531775446720 540084438075 576090067280 617239357800 658388648320 664719308400 691308080736 709033928960 720112584100 759679209600 790066377984 822985810400 864135100920 886292411200 921744107648 987582972480 1063550893440 1080168876150 1152180134560 1234478715600 1316777296640 1329438616800 1382616161472 1440225168200 1519358419200 1645971620800 1728270201840 1772584822400 1843488215296 1975165944960 2127101786880 2160337752300 2304360269120 2468957431200 2658877233600 2765232322944 2880450336400 3291943241600 3456540403680 3545169644800 3950331889920 4320675504600 4608720538240 4937914862400 5317754467200 5530464645888 5760900672800 6583886483200 6913080807360 8641351009200 9217441076480 9875829724800 10635508934400 11521801345600 13826161614720 17282702018400 19751659449600 23043602691200 27652323229440 34565404036800 46087205382400 69130808073600 138261616147200
• Sum of all divisors σ(n): 561717022031872
• Sum of proper divisors (its aliquot sum) s(n): 423455405884672
• 138261616147200 is an abundant number, because the sum of its proper divisors (423455405884672) is greater than itself. Its abundance is 285193789737472

Bases of 138261616147200

• Binary: 11111011011111110001010100001000011101100000000₂
• Hexadecimal: 0x7DBF8A843B00
• Base-36: 1D0CICG0LC

Squares and roots of 138261616147200

• 138261616147200 squared (138261616147200²) is 19116274499635675772067840000
• 138261616147200 cubed (138261616147200³) is 2643047007033135549844518693677826048000000
• The square root of 138261616147200 is 11758469.9747543685
• The cube root of 138261616147200 is 51709.1274768671

Scales and comparisons

• 138,261,616,147,200 seconds is equal to 4,396,291 years, 37 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 138,261,616,147,200 would take you about ten million, nine hundred ninety thousand, seven hundred twenty-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 138261616147200 cubic inches would be around 4309.1 feet tall.

Recreational maths with 138261616147200

• 138261616147200 backwards is 002741616162831
• 138261616147200 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138261616147200's digits is 48
• More coming soon!