135152488048200
135,152,488,048,200 is an even composite number composed of seven prime numbers multiplied together.
135152488048200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135152488048200:
23 × 3 × 52 × 73 × 43 × 337 × 45319
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 43 × 337 × 45319)See below for interesting mathematical facts about the number 135152488048200 from the Numbermatics database.
Names of 135152488048200
- Cardinal: 135152488048200 can be written as One hundred thirty-five trillion, one hundred fifty-two billion, four hundred eighty-eight million, forty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.351524880482 × 1014
Factors of 135152488048200
Divisors of 135152488048200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 43 49 50 56 60 70 75 84 86 98 100 105 120 129 140 147 150 168 172 175 196 200 210 215 245 258 280 294 300 301 337 343 344 350 392 420 430 490 516 525 588 600 602 645 674 686 700 735 840 860 903 980 1011 1029 1032 1050 1075 1176 1204 1225 1290 1348 1372 1400 1470 1505 1685 1715 1720 1806 1960 2022 2058 2100 2107 2150 2359 2408 2450 2580 2696 2744 2940 3010 3225 3370 3430 3612 3675 4044 4116 4200 4214 4300 4515 4718 4900 5055 5145 5160 5880 6020 6321 6450 6740 6860 7077 7224 7350 7525 8088 8232 8425 8428 8575 8600 9030 9436 9800 10110 10290 10535 11795 12040 12642 12900 13480 13720 14154 14491 14700 14749 15050 16513 16850 16856 17150 18060 18872 20220 20580 21070 22575 23590 25275 25284 25725 25800 28308 28982 29400 29498 30100 31605 33026 33700 34300 35385 36120 40440 41160 42140 43473 44247 45150 45319 47180 49539 50550 50568 51450 52675 56616 57964 58975 58996 60200 63210 66052 67400 68600 70770 72455 73745 82565 84280 86946 88494 90300 90638 94360 99078 101100 101437 102900 105350 115591 115928 117950 117992 126420 132104 135957 141540 144910 147490 158025 165130 173892 176925 176988 180600 181276 198156 202200 202874 205800 210700 217365 221235 226595 231182 235900 247695 252840 271914 283080 289820 294980 304311 316050 317233 330260 346773 347784 353850 353976 362275 362552 368725 396312 405748 412825 421400 434730 442470 453190 462364 471800 495390 507185 543828 577955 579640 589960 608622 632100 634466 660520 679785 693546 707700 710059 724550 737450 811496 825650 869460 884940 906380 924728 951699 990780 1014370 1086825 1087656 1106175 1132975 1155910 1217244 1238475 1264200 1268932 1359570 1387092 1415400 1420118 1449100 1474900 1521555 1586165 1651300 1733865 1738920 1769880 1812760 1903398 1948717 1981560 2028740 2130177 2173650 2212350 2220631 2265950 2311820 2434488 2476950 2535925 2537864 2719140 2774184 2840236 2889775 2898200 2949800 3043110 3172330 3302600 3398925 3467730 3550295 3806796 3897434 4057480 4260354 4347300 4424700 4441262 4531900 4623640 4758495 4953900 4970413 5071850 5438280 5680472 5779550 5846151 6086220 6344660 6661893 6797850 6935460 7100590 7607775 7613592 7794868 7930825 8520708 8669325 8694600 8849400 8882524 9063800 9516990 9743585 9907800 9940826 10143700 10650885 11103155 11559100 11692302 12172440 12689320 13323786 13595700 13641019 13870920 14201180 14911239 15215550 15272503 15544417 15589736 15861650 17041416 17338650 17751475 17765048 19033980 19487170 19881652 20287400 21301770 22206310 23118200 23384604 23792475 24852065 26647572 27191400 27282038 28402360 29230755 29822478 30431100 30545006 31088834 31723300 33309465 34677300 35502950 38067960 38974340 39763304 40923057 42603540 44412620 45817509 46633251 46769208 47584950 48717925 49704130 53254425 53295144 54564076 55515775 58461510 59644956 60862200 61090012 62177668 63446600 66618930 68205095 69354600 71005900 74556195 76362515 77722085 77948680 81846114 85207080 88825240 91635018 93266502 95169900 95487133 97435850 99408260 106508850 106907521 109128152 111031550 116923020 119289912 122180024 124260325 124355336 133237860 136410190 142011800 146153775 149112390 152725030 155444170 163692228 166547325 183270036 186533004 190339800 190974266 194871700 198816520 204615285 213017700 213815042 222063100 229087545 233166255 233846040 248520650 266475720 272820380 286461399 292307550 298224780 305450060 310888340 320722563 327384456 333094650 341025475 366540072 372780975 373066008 381812575 381948532 388610425 389743400 409230570 426035400 427630084 444126200 458175090 466332510 477435665 497041300 534537605 545640760 572922798 584615100 596449560 610900120 621776680 641445126 656717629 666189300 668409931 682050950 745561950 748352647 763625150 763897064 777220850 818461140 855260168 916350180 932665020 954871330 994082600 1023076425 1069075210 1145437725 1145845596 1165831275 1169230200 1282890252 1313435258 1332378600 1336819862 1364101900 1432306995 1491123900 1496705294 1527250300 1554441700 1603612815 1636922280 1832700360 1865330040 1909742660 1970152887 2005229793 2046152850 2138150420 2245057941 2290875450 2291691192 2331662550 2387178325 2565780504 2626870516 2672688025 2673639724 2728203800 2864613990 2982247800 2993410588 3054500600 3108883400 3207225630 3283588145 3342049655 3741763235 3819485320 3940305774 4010459586 4092305700 4276300840 4490115882 4581750900 4597023403 4663325100 4774356650 5238468529 5253741032 5345376050 5347279448 5729227980 5986821176 6414451260 6567176290 6684099310 7161534975 7483526470 7880611548 8018064075 8020919172 8184611400 8980231764 9163501800 9194046806 9326650200 9548713300 9850764435 10026148965 10476937058 10690752100 11225289705 11458455960 12828902520 13134352580 13368198620 13791070209 14323069950 14967052940 15715405587 15761223096 16036128150 16041838344 16417940725 16710248275 17960463528 18388093612 18708816175 19097426600 19701528870 20052297930 20953874116 21381504200 22450579410 22985117015 26192342645 26268705160 26736397240 27582140418 28646139900 29934105880 31430811174 32072256300 32179163821 32835881450 33420496550 36776187224 37417632350 39403057740 40104595860 41907748232 44901158820 45970234030 49253822175 50130744825 52384685290 55164280836 56126448525 57292279800 62861622348 64144512600 64358327642 65671762900 66840993100 68955351045 74835264700 78577027935 78806115480 80209191720 89802317640 91940468060 96537491463 98507644350 100261489650 104769370580 110328561672 112252897050 114925585075 125723244696 128716655284 130961713225 131343525800 133681986200 137910702090 149670529400 157154055870 160895819105 183880936120 193074982926 197015288700 200522979300 209538741160 224505794100 225254146747 229851170150 257433310568 261923426450 275821404180 314308111740 321791638210 344776755225 386149965852 392885139675 394030577400 401045958600 449011588200 450508293494 459702340300 482687457315 523846852900 551642808360 628616223480 643583276420 675762440241 689553510450 772299931704 785770279350 804479095525 901016586988 919404680600 965374914630 1047693705800 1126270733735 1287166552840 1351524880482 1379107020900 1571540558700 1608958191050 1802033173976 1930749829260 2252541467470 2413437286575 2703049760964 2758214041800 3143081117400 3217916382100 3378812201205 3861499658520 4505082934940 4826874573150 5406099521928 5631353668675 6435832764200 6757624402410 9010165869880 9653749146300 11262707337350 13515248804820 16894061006025 19307498292600 22525414674700 27030497609640 33788122012050 45050829349400 67576244024100 135152488048200
- Sum of all divisors σ(n): 501455285760000
- Sum of proper divisors (its aliquot sum) s(n): 366302797711800
- 135152488048200 is an abundant number, because the sum of its proper divisors (366302797711800) is greater than itself. Its abundance is 231150309663600
Bases of 135152488048200
- Binary: 111101011101011101001000000101001100110010010002
- Hexadecimal: 0x7AEBA40A6648
- Base-36: 1BWO71ULOO
Squares and roots of 135152488048200
- 135152488048200 squared (1351524880482002) is 18266195025618843845523240000
- 135152488048200 cubed (1351524880482003) is 2468721704886041085640781821175340168000000
-
The
square root of 135152488048200 is 11625510.2274351813 -
The
cube root of 135152488048200 is 51318.5860136235
Scales and comparisons
How big is 135152488048200?- 135,152,488,048,200 seconds is equal to 4,297,431 years, 3 weeks, 2 days, 23 hours, 10 minutes.
-
To count from 1 to 135,152,488,048,200 would take you about ten million, seven hundred forty-three thousand, five hundred seventy-seven 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 135152488048200 cubic inches would be around 4276.5 feet tall.
Recreational maths with 135152488048200
- 135152488048200 backwards is 002840884251531
- The number of decimal digits it has is: 15
- The sum of 135152488048200's digits is 51
- More coming soon!
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The information we have on file for 135152488048200 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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