137104396197216000
137,104,396,197,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137104396197216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
137104396197216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 137104396197216000:
28 × 3 × 53 × 74 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137104396197216000 from the Numbermatics database.
Names of 137104396197216000
- Cardinal: 137104396197216000 can be written as One hundred thirty-seven quadrillion, one hundred four trillion, three hundred ninety-six billion, one hundred ninety-seven million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.37104396197216 × 1017
Factors of 137104396197216000
Divisors of 137104396197216000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 56 58 60 64 70 75 80 84 87 96 98 100 105 112 116 120 125 128 140 145 147 150 160 168 174 175 192 196 200 203 210 224 232 240 245 250 256 280 290 294 300 320 336 343 348 350 375 384 392 400 406 420 435 448 464 480 490 500 525 560 580 588 600 609 640 672 686 696 700 725 735 750 768 784 800 812 840 841 870 875 896 928 960 980 1000 1015 1029 1050 1120 1160 1176 1200 1218 1225 1280 1344 1372 1392 1400 1421 1450 1470 1500 1568 1600 1624 1680 1682 1715 1740 1750 1792 1856 1920 1960 2000 2030 2058 2100 2175 2240 2320 2352 2400 2401 2436 2450 2523 2625 2688 2744 2784 2800 2842 2900 2940 3000 3045 3136 3200 3248 3360 3364 3430 3480 3500 3625 3675 3712 3840 3920 4000 4060 4116 4200 4205 4263 4350 4480 4640 4704 4800 4802 4872 4900 5046 5075 5145 5250 5376 5488 5568 5600 5684 5800 5880 5887 6000 6090 6125 6272 6400 6496 6720 6728 6860 6960 7000 7105 7203 7250 7350 7424 7840 8000 8120 8232 8400 8410 8526 8575 8700 8960 9280 9408 9600 9604 9744 9800 9947 10092 10150 10290 10500 10875 10976 11136 11200 11368 11600 11760 11774 12000 12005 12180 12250 12544 12615 12992 13440 13456 13720 13920 14000 14210 14406 14500 14700 15225 15680 16000 16240 16464 16800 16820 17052 17150 17400 17661 18375 18560 18816 19200 19208 19488 19600 19894 20184 20300 20580 21000 21025 21315 21750 21952 22272 22400 22736 23200 23520 23548 24000 24010 24360 24389 24500 25230 25375 25725 25984 26880 26912 27440 27840 28000 28420 28812 29000 29400 29435 29841 30450 31360 32000 32480 32928 33600 33640 34104 34300 34800 35322 35525 36015 36750 37120 37632 38416 38976 39200 39788 40368 40600 41160 41209 42000 42050 42630 42875 43500 43904 44800 45472 46400 47040 47096 48000 48020 48720 48778 49000 49735 50460 50750 51450 51968 53824 54880 55680 56000 56840 57624 58000 58800 58870 59682 60025 60900 62720 63075 64960 65856 67200 67280 68208 68600 69600 69629 70644 71050 72030 73167 73500 76125 76832 77952 78400 79576 80736 81200 82320 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2814129642800 2855151940800 2856341587442 2911168596000 2914634272900 2954836124940 3015138903000 3060365986545 3122822435250 3151825199936 3197770173696 3216148163200 3260508827520 3264390385648 3327049824000 3331010597600 3376955571360 3396363362000 3445873032000 3497561127480 3517662053500 3568939926000 3643292841125 3693545156175 3730731869312 3806869254400 3859377795840 3881558128000 3939781499920 3997212717120 4020185204000 4075636034400 4080487982060 4163763247000 4221194464200 4284512381163 4371951409350 4502607428480 4594497376000 4657869753600 4663414836640 4727737799904 4758586568000 4824222244800 4896585578472 4924726874900 4996515896400 5094545043000 5100609977575 5276493080250 5329616956160 5403128914176 5434181379200 5596097803968 5621566944000 5628259285600 5710303881600 5712683174884 5822337192000 5829268545800 5909672249880 6030277806000 6120731973090 6155908593625 6245644870500 6303650399872 6432296326400 6521017655040 6528780771296 6662021195200 6753911142720 6792726724000 6891746064000 6995122254960 7035324107000 7137879852000 7140853968605 7286585682250 7387090312350 7461463738624 7763116256000 7879562999840 7994425434240 8040370408000 8151272068800 8160975964120 8327526494000 8442388928400 8569024762326 8743902818700 9005214856960 9326829673280 9455475599808 9517173136000 9648444489600 9793171156944 9849453749800 9993031792800 10189090086000 10201219955150 10552986160500 10868362758400 10929878523375 11192195607936 11256518571200 11420607763200 11425366349768 11644674384000 11658537091600 11819344499760 12060555612000 12241463946180 12311817187250 12491289741000 12607300799744 13057561542592 13324042390400 13507822285440 13585453448000 13783492128000 13990244509920 14070648214000 14275759704000 14281707937210 14573171364500 14774180624700 15301829932725 15759125999680 15988850868480 16080740816000 16302544137600 16321951928240 16655052988000 16884777856800 17138049524652 17487805637400 18467725780875 18653659346560 18910951199616 19034346272000 19296888979200 19586342313888 19698907499600 19986063585600 20378180172000 20402439910300 21105972321000 21422561905815 21859757046750 22384391215872 22513037142400 22850732699536 23289348768000 23317074183200 23638688999520 24121111224000 24482927892360 24623634374500 24982579482000 25503049887875 26115123085184 26648084780800 27015644570880 27170906896000 27980489019840 28141296428000 28551519408000 28563415874420 29146342729000 29548361249400 30603659865450 31518251999360 32161481632000 32605088275200 32643903856480 33310105976000 33769555713600 34276099049304 34975611274800 35704269843025 36935451561750 37307318693120 37821902399232 39172684627776 39397814999200 39972127171200 40756360344000 40804879820600 42211944642000 42845123811630 43719514093500 45026074284800 45701465399072 46634148366400 47277377999040 48242222448000 48965855784720 49247268749000 49965158964000 51006099775750 52230246170368 54341813792000 55960978039680 56282592856000 57103038816000 57126831748840 58292685458000 59096722498800 61207319730900 63036503998720 65287807712960 66620211952000 67539111427200 68552198098608 69951222549600 71408539686050 73870903123500 76509149663625 78345369255552 78795629998400 79944254342400 81512720688000 81609759641200 84423889284000 85690247623260 87439028187000 91402930798144 93268296732800 94554755998080 96484444896000 97931711569440 98494537498000 99930317928000 102012199551500 107112809529075 111921956079360 112565185712000 114253663497680 116585370916000 118193444997600 122414639461800 130575615425920 133240423904000 135078222854400 137104396197216 139902445099200 142817079372100 147741806247000 153018299327250 156690738511104 157591259996800 163025441376000 163219519282400 168847778568000 171380495246520 174878056374000 178521349215125 182805861596288 186536593465600 189109511996160 195863423138880 196989074996000 199860635856000 204024399103000 214225619058150 225130371424000 228507326995360 233170741832000 236386889995200 244829278923600 261151230851840 274208792394432 279804890198400 285634158744200 295483612494000 306036598654500 315182519993600 326439038564800 337695557136000 342760990493040 349756112748000 357042698430250 365611723192576 391726846277760 393978149992000 399721271712000 408048798206000 428451238116300 457014653990720 466341483664000 472773779990400 489658557847200 535564047645375 548417584788864 559609780396800 571268317488400 590967224988000 612073197309000 652878077129600 675391114272000 685521980986080 699512225496000 714085396860500 783453692555520 787956299984000 816097596412000 856902476232600 914029307981440 932682967328000 945547559980800 979317115694400 1071128095290750 1096835169577728 1142536634976800 1181934449976000 1224146394618000 1305756154259200 1371043961972160 1399024450992000 1428170793721000 1575912599968000 1632195192824000 1713804952465200 1828058615962880 1958634231388800 2142256190581500 2285073269953600 2363868899952000 2448292789236000 2742087923944320 2798048901984000 2856341587442000 3264390385648000 3427609904930400 3917268462777600 4284512381163000 4570146539907200 4727737799904000 4896585578472000 5484175847888640 5712683174884000 6528780771296000 6855219809860800 8569024762326000 9140293079814400 9793171156944000 11425366349768000 13710439619721600 17138049524652000 19586342313888000 22850732699536000 27420879239443200 34276099049304000 45701465399072000 68552198098608000 137104396197216000
- Sum of all divisors σ(n): 550232897498806704
- Sum of proper divisors (its aliquot sum) s(n): 413128501301590704
- 137104396197216000 is an abundant number, because the sum of its proper divisors (413128501301590704) is greater than itself. Its abundance is 276024105104374704
Bases of 137104396197216000
- Binary: 1111001110001011110111000110100000111101010111111000000002
- Hexadecimal: 0x1E717B8D07ABF00
- Base-36: 11HZGA3H7QIO
Squares and roots of 137104396197216000
- 137104396197216000 squared (1371043961972160002) is 18797615456603177161966150656000000
- 137104396197216000 cubed (1371043961972160003) is 2577235717125033346361815445310200143773696000000000
-
The
square root of 137104396197216000 is 370276108.0561585465 -
The
cube root of 137104396197216000 is 515644.5835303999 - Being both a perfect square and a perfect cube, 137104396197216000 is also a
perfect sixth number .
Scales and comparisons
How big is 137104396197216000?- 137,104,396,197,216,000 seconds is equal to 4,359,495,707 years, 17 weeks, 18 hours, 40 minutes.
-
To count from 1 to 137,104,396,197,216,000 would take you about thirteen billion, seventy-eight million, four hundred eighty-seven thousand, one hundred twenty-one 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 137104396197216000 cubic inches would be around 42970.4 feet tall.
Recreational maths with 137104396197216000
- 137104396197216000 backwards is 000612791693401731
- 137104396197216000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137104396197216000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 137104396197216000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 137104396197216000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/137104396197216000/
Chicago style:
Numbermatics. 2024. "Number 137104396197216000 - Facts about the integer". https://numbermatics.com/n/137104396197216000/
The information we have on file for 137104396197216000 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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