142324970986099200
142,324,970,986,099,200 is an even composite number composed of six prime numbers multiplied together.
142324970986099200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 142324970986099200:
29 × 3 × 52 × 13 × 19 × 15005584829
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 15005584829)See below for interesting mathematical facts about the number 142324970986099200 from the Numbermatics database.
Names of 142324970986099200
- Cardinal: 142324970986099200 can be written as One hundred forty-two quadrillion, three hundred twenty-four trillion, nine hundred seventy billion, nine hundred eighty-six million, ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.423249709860992 × 1017
Factors of 142324970986099200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 15005584871
Divisors of 142324970986099200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 64 65 75 76 78 80 95 96 100 104 114 120 128 130 150 152 156 160 190 192 195 200 208 228 240 247 256 260 285 300 304 312 320 325 380 384 390 400 416 456 475 480 494 512 520 570 600 608 624 640 650 741 760 768 780 800 832 912 950 960 975 988 1040 1140 1200 1216 1235 1248 1280 1300 1425 1482 1520 1536 1560 1600 1664 1824 1900 1920 1950 1976 2080 2280 2400 2432 2470 2496 2560 2600 2850 2964 3040 3120 3200 3328 3648 3705 3800 3840 3900 3952 4160 4560 4800 4864 4940 4992 5200 5700 5928 6080 6175 6240 6400 6656 7296 7410 7600 7680 7800 7904 8320 9120 9600 9728 9880 9984 10400 11400 11856 12160 12350 12480 12800 14592 14820 15200 15600 15808 16640 18240 18525 19200 19760 19968 20800 22800 23712 24320 24700 24960 29184 29640 30400 31200 31616 33280 36480 37050 38400 39520 41600 45600 47424 48640 49400 49920 59280 60800 62400 63232 72960 74100 79040 83200 91200 94848 98800 99840 118560 121600 124800 126464 145920 148200 158080 166400 182400 189696 197600 237120 243200 249600 296400 316160 364800 379392 395200 474240 499200 592800 632320 729600 790400 948480 1185600 1580800 1896960 2371200 3161600 4742400 9484800 15005584829 30011169658 45016754487 60022339316 75027924145 90033508974 120044678632 150055848290 180067017948 195072602777 225083772435 240089357264 285106111751 300111696580 360134035896 375139620725 390145205554 450167544870 480178714528 570212223502 585217808331 600223393160 720268071792 750279241450 780290411108 855318335253 900335089740 960357429056 975363013885 1125418862175 1140424447004 1170435616662 1200446786320 1425530558755 1440536143584 1500558482900 1560580822216 1710636670506 1800670179480 1920714858112 1950726027770 2250837724350 2280848894008 2340871233324 2400893572640 2851061117510 2881072287168 2926089041655 3001116965800 3121161644432 3421273341012 3601340358960 3706379452763 3841429716224 3901452055540 4276591676265 4501675448700 4561697788016 4681742466648 4801787145280 4876815069425 5702122235020 5762144574336 5852178083310 6002233931600 6242323288864 6842546682024 7127652793775 7202680717920 7412758905526 7682859432448 7802904111080 8553183352530 9003350897400 9123395576032 9363484933296 9603574290560 9753630138850 11119138358289 11404244470040 11524289148672 11704356166620 12004467863200 12484646577728 13685093364048 14255305587550 14405361435840 14630445208275 14825517811052 15605808222160 17106366705060 18006701794800 18246791152064 18531897263815 18726969866592 19207148581120 19507260277700 21382958381325 22238276716578 22808488940080 23048578297344 23408712333240 24008935726400 24969293155456 27370186728096 28510611175100 28810722871680 29260890416550 29651035622104 31211616444320 34212733410120 36013403589600 36493582304128 37063794527630 37453939733184 38414297162240 39014520555400 42765916762650 44476553433156 45616977880160 46817424666480 48017871452800 49938586310912 54740373456192 55595691791445 57021222350200 57621445743360 58521780833100 59302071244208 62423232888640 68425466820240 72026807179200 72987164608256 74127589055260 74907879466368 78029041110800 85531833525300 88953106866312 91233955760320 92659486319075 93634849332960 96035742905600 99877172621824 109480746912384 111191383582890 114042444700400 115242891486720 117043561666200 118604142488416 124846465777280 136850933640480 144053614358400 145974329216512 148255178110520 149815758932736 156058082221600 171063667050600 177906213732624 182467911520640 185318972638150 187269698665920 192071485811200 218961493824768 222382767165780 228084889400800 234087123332400 237208284976832 249692931554560 273701867280960 277978458957225 288107228716800 296510356221040 299631517865472 312116164443200 342127334101200 355812427465248 364935823041280 370637945276300 374539397331840 437922987649536 444765534331560 456169778801600 468174246664800 474416569953664 499385863109120 547403734561920 555956917914450 576214457433600 593020712442080 624232328886400 684254668202400 711624854930496 729871646082560 741275890552600 749078794663680 889531068663120 912339557603200 936348493329600 948833139907328 1094807469123840 1111913835828900 1186041424884160 1248464657772800 1368509336404800 1423249709860992 1482551781105200 1498157589327360 1779062137326240 1824679115206400 1872696986659200 1897666279814656 2189614938247680 2223827671657800 2372082849768320 2496929315545600 2737018672809600 2846499419721984 2965103562210400 3558124274652480 3649358230412800 3745393973318400 4447655343315600 4744165699536640 5474037345619200 5692998839443968 5930207124420800 7116248549304960 7490787946636800 8895310686631200 9488331399073280 10948074691238400 11860414248841600 14232497098609920 17790621373262400 23720828497683200 28464994197219840 35581242746524800 47441656995366400 71162485493049600 142324970986099200
- Sum of all divisors σ(n): 532976765119444800
- Sum of proper divisors (its aliquot sum) s(n): 390651794133345600
- 142324970986099200 is an abundant number, because the sum of its proper divisors (390651794133345600) is greater than itself. Its abundance is 248326823147246400
Bases of 142324970986099200
- Binary: 1111110011010001111001110100110100100101101010010000000002
- Hexadecimal: 0x1F9A3CE9A4B5200
- Base-36: 12XDZP1N9P1C
Squares and roots of 142324970986099200
- 142324970986099200 squared (1423249709860992002) is 20256397366193979086439632240640000
- 142324970986099200 cubed (1423249709860992003) is 2882991167426454325344137887414972981589311488000000
-
The
square root of 142324970986099200 is 377259818.9392811549 -
The
cube root of 142324970986099200 is 522108.0243375531
Scales and comparisons
How big is 142324970986099200?- 142,324,970,986,099,200 seconds is equal to 4,525,493,837 years, 16 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 142,324,970,986,099,200 would take you about thirteen billion, five hundred seventy-six million, four hundred eighty-one thousand, five hundred eleven 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 142324970986099200 cubic inches would be around 43509 feet tall.
Recreational maths with 142324970986099200
- 142324970986099200 backwards is 002990689079423241
- 142324970986099200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 142324970986099200's digits is 75
- More coming soon!
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