134688625344000
134,688,625,344,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 134688625344000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
134688625344000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 134688625344000:
29 × 32 × 53 × 73 × 13 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 229 × 229)See below for interesting mathematical facts about the number 134688625344000 from the Numbermatics database.
Names of 134688625344000
- Cardinal: 134688625344000 can be written as One hundred thirty-four trillion, six hundred eighty-eight billion, six hundred twenty-five million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.34688625344 × 1014
Factors of 134688625344000
Divisors of 134688625344000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 128 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 229 234 240 245 250 252 256 260 273 280 288 294 300 312 315 320 325 336 343 350 360 364 375 384 390 392 400 416 420 441 448 450 455 458 468 480 490 500 504 512 520 525 546 560 576 585 588 600 624 630 637 640 650 672 686 687 700 720 728 735 750 768 780 784 800 819 832 840 875 882 896 900 910 916 936 960 975 980 1000 1008 1029 1040 1050 1092 1120 1125 1145 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1344 1365 1372 1374 1400 1440 1456 1470 1500 1536 1560 1568 1575 1600 1603 1625 1638 1664 1680 1715 1750 1764 1792 1800 1820 1832 1872 1911 1920 1950 1960 2000 2016 2058 2061 2080 2100 2184 2205 2240 2250 2275 2290 2304 2340 2352 2400 2450 2496 2520 2548 2560 2600 2625 2688 2730 2744 2748 2800 2880 2912 2925 2940 2977 3000 3087 3120 3136 3150 3185 3200 3206 3250 3276 3328 3360 3430 3435 3500 3528 3584 3600 3640 3664 3675 3744 3822 3840 3900 3920 4000 4032 4095 4116 4122 4160 4200 4368 4410 4459 4480 4500 4550 4580 4608 4680 4704 4800 4809 4875 4900 4992 5040 5096 5145 5200 5250 5376 5460 5488 5496 5600 5725 5733 5760 5824 5850 5880 5954 6000 6125 6174 6240 6272 6300 6370 6400 6412 6500 6552 6656 6720 6825 6860 6870 7000 7056 7200 7280 7328 7350 7488 7644 7680 7800 7840 7875 8000 8015 8064 8190 8232 8244 8320 8400 8575 8736 8820 8918 8931 8960 9000 9100 9160 9360 9408 9555 9600 9618 9750 9800 9984 10080 10192 10290 10305 10400 10500 10752 10920 10976 10992 11025 11200 11221 11375 11450 11466 11520 11648 11700 11760 11908 12000 12250 12348 12480 12544 12600 12740 12800 12824 13000 13104 13377 13440 13650 13720 13740 14000 14112 14400 14427 14560 14625 14656 14700 14885 14976 15288 15435 15600 15680 15750 15925 16000 16030 16128 16380 16464 16488 16640 16800 17150 17175 17472 17640 17836 17862 17920 18000 18200 18320 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11763198720 11840758272 12003264000 12025770120 12216655360 12253332000 12271194000 12334123200 12526843875 12827488128 12950829360 13070220800 13089273600 13215132000 13361966800 13490447250 13743737280 13814217984 14003808000 14030065140 14096140800 14316393000 14389810400 14703998400 14800947840 14965402816 15032212650 15081024000 15103008000 15270819200 15417654000 15707128320 16034360160 16188536700 16337776000 16361592000 16445497600 16702458500 16804569600 16836078168 17103317504 17179671600 17267772480 17537581425 17620176000 17987263000 18324983040 18379998000 18501184800 18706753520 19088524000 19241232192 19605331200 19633910400 19734597120 20042950200 20235670875 20556872000 20721326976 21005712000 21045097710 21144211200 21379146880 21474589500 21584715600 21815456000 21989979648 22448104224 22621536000 22906228800 23023696640 23126481000 23383441900 23493568000 23526397440 24051540240 24506664000 24542388000 24668246400 25053687750 25654976256 25901658720 26178547200 26430264000 26723933600 26980894500 27487474560 27628435968 28007616000 28060130280 28632786000 28779620800 29229302375 29407996800 29601895680 29930805632 30064425300 30206016000 30541638400 30835308000 32068720320 32377073400 32675552000 32723184000 32890995200 33404917000 33672156336 34359343200 34535544960 35075162850 35240352000 35974526000 36649966080 36759996000 37002369600 37413507040 37580531625 38177048000 38482464384 39210662400 39267820800 40085900400 40471341750 41113744000 41442653952 42011424000 42090195420 42288422400 42758293760 42949179000 43169431200 43630912000 44896208448 45243072000 45812457600 46047393280 46252962000 46766883800 48103080480 49013328000 49084776000 49336492800 50107375500 51309952512 51803317440 52612744275 52860528000 53447867200 53961789000 54974949120 56120260560 57265572000 57559241600 58458604750 58815993600 59203791360 59861611264 60128850600 61083276800 61670616000 64137440640 64754146800 65351104000 65446368000 66809834000 67344312672 68718686400 69071089920 70150325700 70480704000 71949052000 73519992000 74004739200 74827014080 75161063250 76354096000 76964928768 78535641600 80171800800 80942683500 82227488000 82885307904 84022848000 84180390840 85516587520 85898358000 86338862400 87687907125 89792416896 91624915200 92505924000 93533767600 96206160960 98026656000 98169552000 98672985600 100214751000 103606634880 105225488550 105721056000 106895734400 107923578000 109949898240 112240521120 114531144000 115118483200 116917209500 117631987200 119723222528 120257701200 123341232000 128274881280 129508293600 130892736000 133619668000 134688625344 137437372800 138142179840 140300651400 143898104000 147039984000 148009478400 149654028160 150322126500 152708192000 153929857536 160343601600 161885367000 164454976000 168360781680 171796716000 172677724800 175375814250 179584833792 183249830400 185011848000 187067535200 192412321920 196053312000 196339104000 200429502000 207213269760 210450977100 211442112000 213791468800 215847156000 224481042240 229062288000 230236966400 233834419000 240515402400 246682464000 256549762560 259016587200 263063721375 267239336000 269377250688 274874745600 280601302800 287796208000 294079968000 296018956800 299308056320 300644253000 305416384000 320687203200 323770734000 336721563360 343593432000 345355449600 350751628500 359169667584 370023696000 374135070400 384824643840 392678208000 400859004000 414426539520 420901954200 427582937600 431694312000 448962084480 458124576000 467668838000 481030804800 493364928000 518033174400 526127442750 534478672000 538754501376 549749491200 561202605600 575592416000 588159936000 598616112640 601288506000 641374406400 647541468000 673443126720 687186864000 690710899200 701503257000 740047392000 748270140800 769649287680 801718008000 841803908400 863388624000 897924168960 916249152000 935337676000 962061609600 1036066348800 1052254885500 1068957344000 1077509002752 1122405211200 1151184832000 1202577012000 1282748812800 1295082936000 1346886253440 1374373728000 1403006514000 1480094784000 1496540281600 1603436016000 1683607816800 1726777248000 1795848337920 1870675352000 1924123219200 2072132697600 2104509771000 2137914688000 2244810422400 2405154024000 2590165872000 2693772506880 2748747456000 2806013028000 2993080563200 3206872032000 3367215633600 3453554496000 3741350704000 3848246438400 4209019542000 4489620844800 4810308048000 5180331744000 5387545013760 5612026056000 6413744064000 6734431267200 7482701408000 8418039084000 8979241689600 9620616096000 10360663488000 11224052112000 13468862534400 14965402816000 16836078168000 19241232192000 22448104224000 26937725068800 33672156336000 44896208448000 67344312672000 134688625344000
- Sum of all divisors σ(n): 611932015094400
- Sum of proper divisors (its aliquot sum) s(n): 477243389750400
- 134688625344000 is an abundant number, because the sum of its proper divisors (477243389750400) is greater than itself. Its abundance is 342554764406400
Bases of 134688625344000
- Binary: 111101001111111101000111010101100111110000000002
- Hexadecimal: 0x7A7FA3AB3E00
- Base-36: 1BQR3LZ0G0
Squares and roots of 134688625344000
- 134688625344000 squared (1346886253440002) is 18141025797056399118336000000
- 134688625344000 cubed (1346886253440003) is 2443389826935568318887289424707584000000000
-
The
square root of 134688625344000 is 11605542.8715764949 -
The
cube root of 134688625344000 is 51259.8078037207
Scales and comparisons
How big is 134688625344000?- 134,688,625,344,000 seconds is equal to 4,282,681 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 134,688,625,344,000 would take you about ten million, seven hundred six thousand, seven hundred 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 134688625344000 cubic inches would be around 4271.7 feet tall.
Recreational maths with 134688625344000
- 134688625344000 backwards is 000443526886431
- The number of decimal digits it has is: 15
- The sum of 134688625344000's digits is 54
- More coming soon!
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"Number 134688625344000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 134688625344000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/134688625344000/
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The information we have on file for 134688625344000 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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