135840473828186400
135,840,473,828,186,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135840473828186400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
135840473828186400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 135840473828186400:
25 × 33 × 52 × 7 × 132 × 1272 × 329597
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 127 × 127 × 329597)See below for interesting mathematical facts about the number 135840473828186400 from the Numbermatics database.
Names of 135840473828186400
- Cardinal: 135840473828186400 can be written as One hundred thirty-five quadrillion, eight hundred forty trillion, four hundred seventy-three billion, eight hundred twenty-eight million, one hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.358404738281864 × 1017
Factors of 135840473828186400
Divisors of 135840473828186400
- Number of divisors d(n): 2592
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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 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 126 127 130 135 140 144 150 156 160 168 169 175 180 182 189 195 200 208 210 216 224 225 234 240 252 254 260 270 273 280 288 300 312 315 325 336 338 350 351 360 364 378 381 390 400 416 420 432 450 455 468 480 504 507 508 520 525 540 546 560 585 600 624 630 635 650 672 675 676 700 702 720 728 756 762 780 800 819 840 845 864 889 900 910 936 945 975 1008 1014 1016 1040 1050 1080 1092 1120 1143 1170 1183 1200 1248 1260 1270 1300 1350 1352 1365 1400 1404 1440 1456 1512 1521 1524 1560 1575 1638 1651 1680 1690 1755 1778 1800 1820 1872 1890 1905 1950 2016 2028 2032 2080 2100 2160 2184 2275 2286 2340 2366 2400 2457 2520 2535 2540 2600 2667 2700 2704 2730 2800 2808 2912 2925 3024 3042 3048 3120 3150 3175 3276 3302 3360 3380 3429 3510 3549 3556 3600 3640 3744 3780 3810 3900 4056 4064 4095 4200 4225 4320 4368 4445 4550 4563 4572 4680 4725 4732 4914 4953 5040 5070 5080 5200 5334 5400 5408 5460 5600 5616 5715 5850 5915 6048 6084 6096 6240 6300 6350 6552 6604 6760 6825 6858 7020 7098 7112 7200 7280 7560 7605 7620 7800 8001 8112 8190 8255 8400 8450 8736 8775 8890 9100 9126 9144 9360 9450 9464 9525 9828 9906 10080 10140 10160 10400 10647 10668 10800 10920 11232 11430 11557 11700 11830 12168 12192 12285 12600 12675 12700 13104 13208 13335 13520 13650 13716 14040 14196 14224 14560 14859 15120 15210 15240 15600 16002 16129 16224 16380 16510 16800 16900 17145 17550 17745 17780 18200 18252 18288 18720 18900 18928 19050 19656 19812 20280 20320 20475 21294 21336 21463 21600 21840 22225 22815 22860 23114 23400 23660 24003 24336 24570 24765 25200 25350 25400 26208 26416 26670 27040 27300 27432 28080 28392 28448 28575 29575 29718 30240 30420 30480 31200 31941 32004 32258 32760 33020 33800 34290 34671 35100 35490 35560 36400 36504 36576 37800 37856 38025 38100 39312 39624 40005 40560 40950 41275 42588 42672 42926 43680 44450 44577 45630 45720 46228 46800 47320 48006 48387 48672 49140 49530 50400 50700 50800 52832 53235 53340 54600 54864 56160 56784 57150 57785 59150 59436 60840 60960 61425 63882 64008 64389 64516 65520 66040 66675 67600 68580 69342 70200 70980 71120 72800 73008 74295 75600 76050 76200 78624 79248 80010 80645 81120 81900 82550 85176 85344 85725 85852 88725 88900 89154 91260 91440 92456 93600 94640 96012 96774 98280 99060 101400 101600 104013 106470 106680 107315 109200 109728 112903 113568 114075 114300 115570 118300 118872 120015 121680 122850 123825 127764 128016 128778 129032 131040 132080 133350 135200 137160 138684 140400 141960 142240 145161 146016 148590 150241 151200 152100 152400 158496 159705 160020 161290 163800 165100 170352 171450 171704 173355 177450 177800 178308 182520 182880 184912 189280 192024 193167 193548 196560 198120 200025 202800 208026 209677 212940 213360 214630 218400 222885 225806 228150 228600 231140 236600 237744 240030 241935 243360 245700 247650 255528 256032 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3593663328788 3713923715775 3721249009100 3731881149126 3820035821940 3827570409360 3870098969464 3917985458400 3961518630160 4018948929828 4113884731320 4146534610140 4211063110800 4244484246600 4252856010400 4353861340647 4456708458930 4465498810920 4492079160985 4570983034800 4593084491232 4753822356192 4775044777425 4784463011700 4837623711830 4951898287700 4975841532168 5023686162285 5093381095920 5142355914150 5183168262675 5348050150716 5358598573104 5390494993182 5485179641760 5528712813520 5581873513650 5659312328800 5741355614040 5805148454196 5876978187600 5942277945240 5953998414560 6112057315104 6219801915210 6288910825379 6329053432800 6366726369900 6379284015600 6634455376224 6685062688395 6698248216380 6856474552200 6910891016900 7130733534288 7176694517550 7187326657576 7256435567745 7427847431550 7442498018200 7463762298252 7640071643880 7655140818720 7740197938928 7923037260320 8037897859656 8085742489773 8227769462640 8293069220280 8372810270475 8422126221600 8488968493200 8707722681294 8913416917860 8930997621840 8984158321970 9141966069600 9329702872815 9550089554850 9568926023400 9675247423660 9903796575400 9951683064336 10047372324570 10186762191840 10284711828300 10366336525350 10696100301432 10717197146208 10780989986364 11057425627040 11141771147325 11163747027300 11482711228080 11610296908392 11753956375200 11884555890480 12094059279575 12439603830420 12577821650758 12733452739800 12758568031200 13061584021941 13370125376790 13396496432760 13476237482955 13712949104400 13821782033800 14261467068576 14353389035100 14374653315152 14512871135490 14855694863100 14884996036400 14927524596504 15280143287760 15480395877856 15549504788025 16075795719312 16171484979546 16455538925280 16586138440560 16745620540950 16977936986400 17415445362588 17826833835720 17861995243680 17968316643940 18659405745630 18866732476137 19100179109700 19137852046800 19350494847320 19807593150800 19903366128672 20094744649140 20569423656600 20732673050700 21392200602864 21561979972728 21769306703235 22283542294650 22327494054600 22460395804925 22965422456160 23220593816784 23769111780960 24188118559150 24257227469319 24879207660840 25118430811425 25155643301516 25466905479600 26123168043882 26740250753580 26792992865520 26952474965910 27425898208800 27643564067600 28706778070200 28749306630304 29025742270980 29711389726200 29769992072800 29855049193008 30560286575520 31099009576050 31444554126895 32151591438624 32342969959092 33172276881120 33425313441975 33491241081900 34830890725176 35653667671440 35936633287880 36282177838725 37318811491260 37733464952274 38200358219400 38275704093600 38700989694640 39615186301600 40189489298280 40428712448865 41138847313200 41465346101400 42784401205728 43123959945456 43538613406470 44567084589300 44654988109200 44920791609850 46441187633568 46648514364075 48376237118300 48514454938638 49758415321680 50236861622850 50311286603032 50933810959200 52246336087764 53480501507160 53585985731040 53904949931820 55287128135200 56600197428411 57413556140400 58051484541960 59422779452400 59710098386016 62198019152100 62889108253790 64685939918184 65307920109705 66850626883950 66982482163800 67381187414775 69661781450352 71307335342880 71873266575760 72564355677450 74637622982520 75466929904548 76400716438800 77401979389280 80378978596560 80857424897730 82277694626400 82930692202800 86247919890912 87077226812940 89134169178600 89309976218400 89841583219700 93297028728150 94333662380685 96752474236600 97028909877276 99516830643360 100473723245700 100622573206064 104492672175528 106961003014320 107809899863640 108846533516175 113200394856822 114827112280800 116102969083920 118845558904800 121286137346595 124396038304200 125778216507580 129371879836368 130615840219410 133701253767900 133964964327600 134762374829550 139323562900704 143746533151520 145128711354900 149275245965040 150933859809096 152801432877600 157222770634475 160757957193120 161714849795460 165861384405600 169800592285233 174154453625880 178268338357200 179683166439400 186594057456300 188667324761370 193504948473200 194057819754552 200947446491400 201245146412128 202143562244325 208985344351056 213922006028640 215619799727280 217693067032350 226400789713644 232205938167840 242572274693190 248792076608400 251556433015160 258743759672736 261231680438820 267402507535800 267929928655200 269524749659100 283000987142055 290257422709800 298550491930080 301867719618192 314445541268950 323429699590920 326539600548525 339601184570466 348308907251760 356536676714400 359366332878800 373188114912600 377334649522740 387009896946400 388115639509104 401894892982800 404287124488650 417970688702112 431239599454560 435386134064700 452801579427288 471668311903425 485144549386380 497584153216800 503112866030320 522463360877640 534805015071600 539049499318200 566001974284110 580514845419600 603735439236384 606430686732975 628891082537900 646859399181840 653079201097050 679202369140932 696617814503520 718732665757600 746376229825200 754669299045480 776231279018208 803789785965600 808574248977300 849002961426165 870772268129400 905603158854576 943336623806850 970289098772760 1006225732060640 1044926721755280 1069610030143200 1078098998636400 1132003948568220 1161029690839200 1212861373465950 1257782165075800 1293718798363680 1306158402194100 1358404738281864 1415004935710275 1492752459650400 1509338598090960 1617148497954600 1698005922852330 1741544536258800 1811206317709152 1886673247613700 1940578197545520 2089853443510560 2156197997272800 2264007897136440 2425722746931900 2515564330151600 2612316804388200 2716809476563728 2830009871420550 3018677196181920 3234296995909200 3396011845704660 3483089072517600 3773346495227400 3881156395091040 4245014807130825 4528015794272880 4851445493863800 5031128660303200 5224633608776400 5433618953127456 5660019742841100 6468593991818400 6792023691409320 7546692990454800 8490029614261650 9056031588545760 9702890987727600 10449267217552800 11320039485682200 13584047382818640 15093385980909600 16980059228523300 19405781975455200 22640078971364400 27168094765637280 33960118457046600 45280157942728800 67920236914093200 135840473828186400
- Sum of all divisors σ(n): 612813444640548480
- Sum of proper divisors (its aliquot sum) s(n): 476972970812362080
- 135840473828186400 is an abundant number, because the sum of its proper divisors (476972970812362080) is greater than itself. Its abundance is 341132496984175680
Bases of 135840473828186400
- Binary: 1111000101001101000110000111101001010011001011001001000002
- Hexadecimal: 0x1E29A30F4A65920
- Base-36: 115JFG6C7BC0
Squares and roots of 135840473828186400
- 135840473828186400 squared (1358404738281864002) is 18452634329866194302227113144960000
- 135840473828186400 cubed (1358404738281864003) is 2506614590747282656892731943897868783997100544000000
-
The
square root of 135840473828186400 is 368565426.7944653541 -
The
cube root of 135840473828186400 is 514055.1675460719
Scales and comparisons
How big is 135840473828186400?- 135,840,473,828,186,400 seconds is equal to 4,319,306,885 years, 29 weeks, 1 day, 18 hours.
-
To count from 1 to 135,840,473,828,186,400 would take you about twelve billion, nine hundred fifty-seven million, nine hundred twenty thousand, six hundred fifty-six 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 135840473828186400 cubic inches would be around 42837.9 feet tall.
Recreational maths with 135840473828186400
- 135840473828186400 backwards is 004681828374048531
- 135840473828186400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135840473828186400's digits is 72
- More coming soon!
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"Number 135840473828186400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 135840473828186400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/135840473828186400/
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Numbermatics. 2024. "Number 135840473828186400 - Facts about the integer". https://numbermatics.com/n/135840473828186400/
The information we have on file for 135840473828186400 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!
Keywords: Divisors of 135840473828186400, math, Factors of 135840473828186400, curriculum, school, college, exams, university, Prime factorization of 135840473828186400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, eight hundred forty trillion, four hundred seventy-three billion, eight hundred twenty-eight million, one hundred eighty-six thousand, four hundred.