138356836225781250
138,356,836,225,781,250 is an even composite number composed of seven prime numbers multiplied together.
138356836225781250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138356836225781250:
2 × 3 × 58 × 7 × 11 × 31 × 49732
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 31 × 4973 × 4973)See below for interesting mathematical facts about the number 138356836225781250 from the Numbermatics database.
Names of 138356836225781250
- Cardinal: 138356836225781250 can be written as One hundred thirty-eight quadrillion, three hundred fifty-six trillion, eight hundred thirty-six billion, two hundred twenty-five million, seven hundred eighty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3835683622578125 × 1017
Factors of 138356836225781250
Divisors of 138356836225781250
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 5 6 7 10 11 14 15 21 22 25 30 31 33 35 42 50 55 62 66 70 75 77 93 105 110 125 150 154 155 165 175 186 210 217 231 250 275 310 330 341 350 375 385 434 462 465 525 550 625 651 682 750 770 775 825 875 930 1023 1050 1085 1155 1250 1302 1375 1550 1650 1705 1750 1875 1925 2046 2170 2310 2325 2387 2625 2750 3125 3255 3410 3750 3850 3875 4125 4375 4650 4774 4973 5115 5250 5425 5775 6250 6510 6875 7161 7750 8250 8525 8750 9375 9625 9946 10230 10850 11550 11625 11935 13125 13750 14322 14919 15625 16275 17050 18750 19250 19375 20625 21875 23250 23870 24865 25575 26250 27125 28875 29838 31250 32550 34375 34811 35805 38750 41250 42625 43750 46875 48125 49730 51150 54250 54703 57750 58125 59675 65625 68750 69622 71610 74595 78125 81375 85250 93750 96250 96875 103125 104433 109375 109406 116250 119350 124325 127875 131250 135625 144375 149190 154163 156250 162750 164109 171875 174055 179025 193750 206250 208866 213125 218750 234375 240625 248650 255750 271250 273515 288750 290625 298375 308326 328125 328218 343750 348110 358050 372975 382921 390625 406875 426250 462489 468750 481250 484375 515625 522165 546875 547030 581250 596750 621625 639375 656250 678125 721875 745950 765842 770815 781250 813750 820545 859375 870275 895125 924978 968750 1031250 1044330 1065625 1079141 1093750 1148763 1171875 1203125 1243250 1278750 1356250 1367575 1443750 1453125 1491875 1541630 1640625 1641090 1695793 1718750 1740550 1790250 1864875 1914605 2034375 2131250 2158282 2297526 2312445 2343750 2406250 2421875 2578125 2610825 2734375 2735150 2906250 2983750 3108125 3196875 3237423 3281250 3390625 3391586 3609375 3729750 3829210 3854075 4068750 4102725 4296875 4351375 4475625 4624890 4843750 5087379 5156250 5221650 5328125 5395705 5468750 5743815 6015625 6216250 6393750 6474846 6781250 6837875 7218750 7265625 7459375 7708150 8203125 8205450 8478965 8593750 8702750 8951250 9324375 9573025 10171875 10174758 10656250 10791410 11487630 11562225 11870551 12031250 12109375 12890625 13054125 13675750 14531250 14918750 15540625 15984375 16187115 16406250 16953125 16957930 18046875 18648750 19146050 19270375 20343750 20513625 21756875 22378125 23124450 23741102 24218750 24730729 25436895 25781250 26108250 26640625 26978525 28719075 30078125 31081250 31968750 32374230 33906250 34189375 35611653 36093750 36328125 37296875 38540750 41027250 42394825 43513750 44756250 46621875 47865125 49461458 50859375 50873790 53281250 53957050 57438150 57811125 59352755 60156250 65270625 68378750 71223306 72656250 74192187 74593750 77703125 79921875 80935575 84765625 84789650 90234375 93243750 95730250 96351875 101718750 102568125 108784375 111890625 115622250 118705510 123653645 127184475 130541250 133203125 134892625 143595375 148384374 155406250 159843750 161871150 169531250 170946875 173115103 178058265 180468750 186484375 192703750 205136250 211974125 217568750 223781250 233109375 239325625 247307290 254296875 254368950 266406250 269785250 272038019 287190750 289055625 296763775 326353125 341893750 346230206 356116530 370960935 372968750 388515625 399609375 404677875 423948250 466218750 478651250 481759375 508593750 512840625 519345309 543921875 544076038 559453125 578111250 593527550 618268225 635922375 652706250 674463125 717976875 741921870 766652599 777031250 799218750 809355750 816114057 854734375 865575515 890291325 932421875 963518750 1025681250 1038690618 1059870625 1087843750 1118906250 1165546875 1196628125 1236536450 1271844750 1348926250 1360190095 1435953750 1445278125 1483818875 1533305198 1631765625 1632228114 1709468750 1731151030 1780582650 1854804675 1864843750 1904266133 1942578125 2023389375 2119741250 2299957797 2331093750 2393256250 2408796875 2564203125 2596726545 2719609375 2720380190 2797265625 2890556250 2967637750 3091341125 3179611875 3263531250 3372315625 3589884375 3709609350 3808532266 3833262995 3885156250 4046778750 4080570285 4273671875 4327877575 4451456625 4599915594 4817593750 5128406250 5193453090 5299353125 5366568193 5439218750 5594531250 5712798399 5827734375 5983140625 6182682250 6359223750 6744631250 6800950475 7179768750 7226390625 7419094375 7666525990 8158828125 8161140570 8433178589 8547343750 8655755150 8902913250 9274023375 9521330665 10116946875 10598706250 10733136386 11425596798 11499788985 11655468750 11966281250 12043984375 12821015625 12983632725 13598046875 13601900950 14452781250 14838188750 15456705625 15898059375 16099704579 16317656250 16861578125 16866357178 17949421875 18548046750 19042661330 19166314975 20233893750 20402851425 21368359375 21639387875 22257283125 22999577970 24087968750 25299535767 25642031250 25967265450 26496765625 26832840965 27196093750 28563991995 29915703125 30913411250 31796118750 32199409158 33723156250 34004752375 35898843750 36131953125 37095471875 38332629950 40794140625 40805702850 42165892945 42736718750 43278775750 44514566250 46370116875 47606653325 50584734375 50599071534 52993531250 53665681930 57127983990 57498944925 59032250123 59831406250 60219921875 64105078125 64918163625 68009504750 72263906250 74190943750 77283528125 79490296875 80498522895 81588281250 84307890625 84331785890 89747109375 92740233750 95213306650 95831574875 101169468750 102014257125 108196939375 111286415625 114997889850 118064500246 120439843750 126497678835 128210156250 129836327250 132483828125 134164204825 142819959975 149578515625 154567056250 158980593750 160997045790 168615781250 170023761875 177096750369 179494218750 180659765625 185477359375 191663149750 204028514250 210829464725 216393878750 222572831250 231850584375 238033266625 252923671875 252995357670 264967656250 268328409650 285639919950 287494724625 295161250615 299157031250 324590818125 340047523750 354193500738 361319531250 370954718750 386417640625 397451484375 402492614475 421539453125 421658929450 448735546875 463701168750 476066533250 479157874375 505847343750 510071285625 540984696875 556432078125 574989449250 590322501230 632488394175 649181636250 662419140625 670821024125 714099799875 772835281250 794902968750 804985228950 843078906250 850118809375 885483751845 897471093750 927386796875 958315748750 1020142571250 1054147323625 1081969393750 1112864156250 1159252921875 1190166333125 1264618359375 1264976788350 1324838281250 1341642048250 1428199599750 1437473623125 1475806253075 1622954090625 1700237618750 1770967503690 1854773593750 1932088203125 1987257421875 2012463072375 2108294647250 2318505843750 2380332666250 2395789371875 2529236718750 2550356428125 2704923484375 2782160390625 2874947246250 2951612506150 3162441970875 3245908181250 3354105120625 3570498999375 3864176406250 3974514843750 4024926144750 4250594046875 4427418759225 4636933984375 4791578743750 5100712856250 5270736618125 5409846968750 5564320781250 5796264609375 5950831665625 6324883941750 6708210241250 7140997998750 7187368115625 7379031265375 8114770453125 8501188093750 8854837518450 9273867968750 9660441015625 10062315361875 10541473236250 11592529218750 11901663331250 11978946859375 12751782140625 13524617421875 13910801953125 14374736231250 14758062530750 15812209854375 16229540906250 16770525603125 17852494996875 19320882031250 20124630723750 21252970234375 22137093796125 23957893718750 25503564281250 26353683090625 27049234843750 27821603906250 28981323046875 29754158328125 31624419708750 33541051206250 35704989993750 35936840578125 36895156326875 40573852265625 42505940468750 44274187592250 50311576809375 52707366181250 57962646093750 59508316656250 59894734296875 63758910703125 67623087109375 71873681156250 73790312653750 79061049271875 81147704531250 83852628015625 89262474984375 100623153618750 106264851171875 110685468980625 119789468593750 127517821406250 131768415453125 135246174218750 148770791640625 158122098543750 167705256031250 178524949968750 179684202890625 184475781634375 202869261328125 212529702343750 221370937961250 251557884046875 263536830906250 297541583281250 299473671484375 318794553515625 359368405781250 368951563268750 395305246359375 405738522656250 419263140078125 446312374921875 503115768093750 553427344903125 598947342968750 637589107031250 658842077265625 743853958203125 790610492718750 838526280156250 892624749843750 898421014453125 922378908171875 1106854689806250 1257789420234375 1317684154531250 1487707916406250 1796842028906250 1844757816343750 1976526231796875 2096315700390625 2231561874609375 2515578840468750 2767136724515625 3294210386328125 3953052463593750 4192631400781250 4463123749218750 4611894540859375 5534273449031250 6288947101171875 6588420772656250 9223789081718750 9882631158984375 12577894202343750 13835683622578125 19765262317968750 23059472704296875 27671367245156250 46118945408593750 69178418112890625 138356836225781250
- Sum of all divisors σ(n): 445242426035761152
- Sum of proper divisors (its aliquot sum) s(n): 306885589809979902
- 138356836225781250 is an abundant number, because the sum of its proper divisors (306885589809979902) is greater than itself. Its abundance is 168528753584198652
Bases of 138356836225781250
- Binary: 1111010111000101011001111001110110111110000001110000000102
- Hexadecimal: 0x1EB8ACF3B7C0E02
- Base-36: 11UBEL3P6GHU
Squares and roots of 138356836225781250
- 138356836225781250 squared (1383568362257812502) is 19142614130407654807227172851562500
- 138356836225781250 cubed (1383568362257812503) is 2648511528174137855939244880911545276641845703125000
-
The
square root of 138356836225781250 is 371963487.7589213729 -
The
cube root of 138356836225781250 is 517209.9535804087
Scales and comparisons
How big is 138356836225781250?- 138,356,836,225,781,250 seconds is equal to 4,399,319,426 years, 9 weeks, 4 days, 17 hours, 27 minutes, 30 seconds.
-
To count from 1 to 138,356,836,225,781,250 would take you about thirteen billion, one hundred ninety-seven million, nine hundred fifty-eight thousand, two hundred seventy-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 138356836225781250 cubic inches would be around 43100.8 feet tall.
Recreational maths with 138356836225781250
- 138356836225781250 backwards is 052187522638653831
- 138356836225781250 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138356836225781250's digits is 75
- More coming soon!
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The information we have on file for 138356836225781250 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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