138665998329600

Names of 138665998329600

• Cardinal: 138665998329600 can be written as One hundred thirty-eight trillion, six hundred sixty-five billion, nine hundred ninety-eight million, three hundred twenty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.386659983296 × 10¹⁴

Factors of 138665998329600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7405

Divisors of 138665998329600

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 128 133 140 150 152 160 168 175 190 192 200 210 224 228 240 256 266 280 285 300 304 320 336 350 380 384 399 400 420 448 456 475 480 525 532 560 570 600 608 640 665 672 700 760 768 798 800 840 896 912 950 960 1050 1064 1120 1140 1200 1216 1280 1330 1344 1400 1425 1520 1596 1600 1680 1792 1824 1900 1920 1995 2100 2128 2240 2280 2400 2432 2660 2688 2800 2850 3040 3192 3200 3325 3360 3648 3800 3840 3990 4200 4256 4480 4560 4800 4864 5320 5376 5600 5700 6080 6384 6400 6650 6720 7296 7369 7600 7980 8400 8512 8960 9120 9600 9975 10640 11200 11400 12160 12768 13300 13440 14592 14738 15200 15960 16800 17024 18240 19200 19950 21280 22107 22400 22800 24320 25536 26600 26880 29476 30400 31920 33600 34048 36480 36845 39900 42560 44214 44800 45600 51072 51583 53200 58952 60800 63840 67200 72960 73690 79800 85120 88428 91200 102144 103166 106400 110535 117904 121600 127680 134400 140011 147380 154749 159600 170240 176856 182400 184225 206332 212800 221070 235808 255360 257915 280022 294760 309498 319200 353712 364800 368450 412664 420033 425600 442140 471616 510720 515830 552675 560044 589520 618996 638400 700055 707424 736900 773745 825328 840066 851200 884280 943232 980077 1031660 1105350 1120088 1179040 1237992 1276800 1289575 1400110 1414848 1473800 1547490 1650656 1680132 1768560 1886464 1960154 2063320 2100165 2210700 2240176 2358080 2475984 2553600 2579150 2800220 2829696 2940231 2947600 3094980 3301312 3360264 3500275 3537120 3868725 3920308 4126640 4200330 4421400 4480352 4716160 4900385 4951968 5158300 5600440 5659392 5880462 5895200 6189960 6602624 6720528 7000550 7074240 7737450 7840616 8253280 8400660 8842800 8960704 9432320 9800770 9903936 10316600 10500825 11200880 11760924 11790400 12379920 13205248 13441056 14001100 14148480 14701155 15474900 15681232 16506560 16801320 17685600 17921408 19601540 19807872 20633200 21001650 22401760 23521848 23580800 24501925 24759840 26882112 28002200 28296960 29402310 30949800 31362464 33013120 33602640 35371200 35842816 39203080 39615744 41266400 42003300 44803520 47043696 47161600 49003850 49519680 53764224 54302161 56004400 58804620 61899600 62724928 66026240 67205280 70742400 73505775 78406160 82532800 84006600 89607040 94087392 98007700 99039360 107528448 108604322 112008800 117609240 123799200 125449856 134410560 141484800 147011550 156812320 162906483 165065600 168013200 179214080 188174784 196015400 198078720 217208644 224017600 235218480 247598400 250899712 268821120 271510805 294023100 313624640 325812966 330131200 336026400 376349568 380115127 392030800 434417288 448035200 470436960 495196800 537642240 543021610 588046200 627249280 651625932 672052800 752699136 760230254 784061600 814532415 868834576 896070400 940873920 990393600 1031741059 1086043220 1140345381 1176092400 1254498560 1303251864 1344105600 1357554025 1520460508 1568123200 1629064830 1737669152 1881747840 1900575635 2063482118 2172086440 2280690762 2352184800 2606503728 2688211200 2715108050 3040921016 3095223177 3136246400 3258129660 3475338304 3763495680 3801151270 4072662075 4126964236 4344172880 4561381524 4704369600 5158705295 5213007456 5430216100 5701726905 6081842032 6190446354 6272492800 6516259320 6950676608 7222187413 7602302540 8145324150 8253928472 8688345760 9122763048 9408739200 9502878175 10317410590 10426014912 10860432200 11403453810 12163684064 12380892708 13032518640 13901353216 14444374826 15204605080 15476115885 16290648300 16507856944 17376691520 18245526096 18817478400 19005756350 20634821180 20852029824 21666562239 21720864400 22806907620 24327368128 24761785416 25793526475 26065037280 28508634525 28888749652 30409210160 30952231770 32581296600 33015713888 34753383040 36110937065 36491052192 38011512700 41269642360 41704059648 43333124478 43441728800 45613815240 48654736256 49523570832 51587052950 52130074560 57017269050 57777499304 60818420320 61904463540 65162593200 66031427776 69506766080 72221874130 72982104384 76023025400 77380579425 82539284720 86666248956 86883457600 91227630480 97309472512 99047141664 103174105900 104260149120 108332811195 114034538100 115554998608 121636840640 123808927080 130325186400 132062855552 144443748260 145964208768 152046050800 154761158850 165078569440 173332497912 173766915200 180554685325 182455260960 198094283328 206348211800 208520298240 216665622390 228069076200 231109997216 243273681280 247617854160 260650372800 264125711104 288887496520 291928417536 304092101600 309522317700 330157138880 346664995824 347533830400 361109370650 364910521920 396188566656 412696423600 433331244780 456138152400 462219994432 486547362560 495235708320 521300745600 541664055975 577774993040 608184203200 619044635400 660314277760 693329991648 722218741300 729821043840 792377133312 825392847200 866662489560 912276304800 924439988864 990471416640 1042601491200 1083328111950 1155549986080 1216368406400 1238089270800 1320628555520 1386659983296 1444437482600 1459642087680 1650785694400 1733324979120 1824552609600 1848879977728 1980942833280 2166656223900 2311099972160 2432736812800 2476178541600 2773319966592 2888874965200 3301571388800 3466649958240 3649105219200 3961885666560 4333312447800 4622199944320 4952357083200 5546639933184 5777749930400 6603142777600 6933299916480 7298210438400 8666624895600 9244399888640 9904714166400 11555499860800 13866599832960 17333249791200 19809428332800 23110999721600 27733199665920 34666499582400 46221999443200 69332999164800 138665998329600
• Sum of all divisors σ(n): 550603059565440
• Sum of proper divisors (its aliquot sum) s(n): 411937061235840
• 138665998329600 is an abundant number, because the sum of its proper divisors (411937061235840) is greater than itself. Its abundance is 273271062906240

Bases of 138665998329600

• Binary: 11111100001110110110001100100101010011100000000₂
• Hexadecimal: 0x7E1DB192A700
• Base-36: 1D5IA35LHC

Squares and roots of 138665998329600

• 138665998329600 squared (138665998329600²) is 19228259092744629990236160000
• 138665998329600 cubed (138665998329600³) is 2666305743235642873705457426869518336000000
• The square root of 138665998329600 is 11775652.7772179153
• The cube root of 138665998329600 is 51759.4906883721

Scales and comparisons

• 138,665,998,329,600 seconds is equal to 4,409,149 years, 42 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 138,665,998,329,600 would take you about eleven million, twenty-two thousand, eight hundred seventy-four 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 138665998329600 cubic inches would be around 4313.3 feet tall.

Recreational maths with 138665998329600

• 138665998329600 backwards is 006923899566831
• 138665998329600 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138665998329600's digits is 75
• More coming soon!