135253209907200
135,253,209,907,200 is an even composite number composed of seven prime numbers multiplied together.
135253209907200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 135253209907200:
219 × 3 × 52 × 7 × 112 × 31 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 31 × 131)See below for interesting mathematical facts about the number 135253209907200 from the Numbermatics database.
Names of 135253209907200
- Cardinal: 135253209907200 can be written as One hundred thirty-five trillion, two hundred fifty-three billion, two hundred nine million, nine hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.352532099072 × 1014
Factors of 135253209907200
Divisors of 135253209907200
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 40 42 44 48 50 55 56 60 62 64 66 70 75 77 80 84 88 93 96 100 105 110 112 120 121 124 128 131 132 140 150 154 155 160 165 168 175 176 186 192 200 210 217 220 224 231 240 242 248 256 262 264 275 280 300 308 310 320 330 336 341 350 352 363 372 384 385 393 400 420 434 440 448 462 465 480 484 496 512 524 525 528 550 560 600 605 616 620 640 651 655 660 672 682 700 704 726 744 768 770 775 786 800 825 840 847 868 880 896 917 924 930 960 968 992 1023 1024 1048 1050 1056 1085 1100 1120 1155 1200 1210 1232 1240 1280 1302 1310 1320 1344 1364 1400 1408 1441 1452 1488 1536 1540 1550 1572 1600 1650 1680 1694 1705 1736 1760 1792 1815 1834 1848 1860 1920 1925 1936 1965 1984 2046 2048 2096 2100 2112 2170 2200 2240 2310 2325 2387 2400 2420 2464 2480 2541 2560 2604 2620 2640 2688 2728 2751 2800 2816 2882 2904 2976 3025 3072 3080 3100 3144 3200 3255 3275 3300 3360 3388 3410 3472 3520 3584 3630 3668 3696 3720 3751 3840 3850 3872 3930 3968 4061 4092 4096 4192 4200 4224 4235 4323 4340 4400 4480 4585 4620 4650 4774 4800 4840 4928 4960 5082 5115 5120 5208 5240 5280 5376 5425 5456 5502 5600 5632 5764 5775 5808 5952 6050 6144 6160 6200 6288 6400 6510 6550 6600 6720 6776 6820 6944 7040 7161 7168 7205 7260 7336 7392 7440 7502 7680 7700 7744 7860 7936 8122 8184 8192 8384 8400 8448 8470 8525 8646 8680 8800 8960 9075 9170 9240 9300 9548 9600 9680 9825 9856 9920 10087 10164 10230 10240 10416 10480 10560 10752 10850 10912 11004 11200 11253 11264 11528 11550 11616 11904 11935 12100 12183 12288 12320 12400 12576 12705 12800 13020 13100 13200 13440 13552 13640 13755 13888 14080 14322 14336 14410 14520 14672 14784 14880 15004 15360 15400 15488 15720 15851 15872 16244 16275 16368 16384 16768 16800 16896 16940 17050 17292 17360 17600 17920 18150 18340 18480 18600 18755 19096 19200 19360 19650 19712 19840 20174 20305 20328 20460 20480 20832 20960 21120 21175 21504 21615 21700 21824 22008 22400 22506 22528 22925 23056 23100 23232 23808 23870 24200 24366 24576 24640 24800 25152 25410 25575 25600 26040 26200 26257 26400 26880 27104 27280 27510 27776 28160 28427 28644 28672 28820 29040 29344 29568 29760 30008 30261 30720 30800 30976 31440 31702 31744 32488 32550 32736 32768 33536 33600 33792 33880 34100 34584 34720 35200 35805 35840 36025 36300 36680 36960 37200 37510 38192 38400 38720 39300 39424 39680 40348 40610 40656 40920 40960 41664 41920 42240 42350 43008 43230 43400 43648 44016 44671 44800 45012 45056 45850 46112 46200 46464 47553 47616 47740 48400 48732 49152 49280 49600 50304 50435 50820 51150 51200 52080 52400 52514 52800 53760 54208 54560 55020 55552 56265 56320 56854 57288 57344 57640 58080 58688 59136 59520 59675 60016 60522 60915 61440 61600 61952 62880 63404 63488 63525 64976 65100 65472 65536 67072 67200 67584 67760 68200 68775 69168 69440 70400 71610 71680 72050 72600 73360 73920 74400 75020 76384 76800 77440 78600 78771 78848 79255 79360 80696 81220 81312 81840 81920 83328 83840 84480 84700 85281 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8263270400 8310489088 8326348800 8521497600 8532787200 8603893760 8732774400 8782675968 8805547520 9014476800 9089597440 9148620800 9218457600 9314959360 9386065920 9434515200 9443737600 9606051840 9738854400 9833021440 9915924480 9980313600 10063482880 10246455296 10324672512 10388111360 10566657024 10645667840 10754867200 10907516928 10978344960 11006934400 11101798400 11177951232 11332485120 11361996800 11643699200 11710234624 11732582400 12007564800 12019302400 12076179456 12291276800 12394905600 12465733632 12579353600 12808069120 12905840640 12985139200 13208321280 13221232640 13307084800 13408665600 13634396160 13722931200 13766230016 13972439040 14088876032 14165606400 14543355904 14637793280 14749532160 14903934976 15095224320 15369682944 15582167040 15643443200 15865479168 15968501760 16010086400 16101572608 16132300800 16510401600 16526540800 16652697600 17042995200 17207787520 17465548800 17565351936 17611095040 18028953600 18179194880 18297241600 18436915200 18629918720 18772131840 18869030400 18887475200 19212103680 19477708800 19831848960 19960627200 20126965760 20492910592 20649345024 20776222720 21133314048 21509734400 21815033856 21956689920 22013868800 22355902464 22723993600 23287398400 23420469248 23465164800 24015129600 24152358912 24582553600 24789811200 24931467264 25158707200 25616138240 25811681280 25970278400 26416642560 26442465280 26614169600 27268792320 27445862400 27944878080 28177752064 28331212800 29086711808 29275586560 29499064320 30190448640 30739365888 31164334080 31286886400 31937003520 32020172800 32203145216 32264601600 33020803200 33053081600 33305395200 34085990400 34415575040 34931097600 35130703872 35222190080 36057907200 36358389760 36594483200 36873830400 37259837440 37738060800 38424207360 38955417600 39663697920 39921254400 40253931520 40985821184 41298690048 41552445440 42266628096 43019468800 43630067712 43913379840 44027737600 44711804928 45447987200 46574796800 46930329600 48030259200 48304717824 49165107200 49579622400 50317414400 51232276480 51623362560 51940556800 52833285120 53228339200 54537584640 54891724800 55889756160 56355504128 56662425600 58173423616 58551173120 60380897280 61478731776 62328668160 64040345600 64406290432 64529203200 66041606400 66106163200 68171980800 68831150080 69862195200 70261407744 70444380160 72716779520 73188966400 73747660800 74519674880 75476121600 76848414720 77910835200 79327395840 79842508800 80507863040 81971642368 84533256192 86038937600 87260135424 87826759680 88055475200 90895974400 93149593600 93860659200 96060518400 96609435648 99159244800 100634828800 102464552960 103246725120 103881113600 105666570240 109075169280 109783449600 111779512320 112711008256 117102346240 120761794560 122957463552 124657336320 128080691200 128812580864 129058406400 132083212800 132212326400 136343961600 139724390400 140888760320 145433559040 146377932800 147495321600 150952243200 153696829440 155821670400 159685017600 161015726080 163943284736 169066512384 172077875200 174520270848 175653519360 176110950400 181791948800 186299187200 192121036800 193218871296 198318489600 201269657600 204929105920 206493450240 207762227200 211333140480 218150338560 219566899200 223559024640 225422016512 241523589120 245914927104 256161382400 257625161728 258116812800 264166425600 272687923200 279448780800 281777520640 290867118080 292755865600 301904486400 307393658880 311643340800 322031452160 338133024768 344155750400 351307038720 352221900800 363583897600 372598374400 384242073600 386437742592 396636979200 402539315200 409858211840 422666280960 436300677120 439133798400 450844033024 483047178240 491829854208 512322764800 516233625600 528332851200 545375846400 558897561600 563555041280 585511731200 603808972800 614787317760 623286681600 644062904320 676266049536 704443801600 727167795200 768484147200 772875485184 805078630400 819716423680 845332561920 872601354240 878267596800 901688066048 966094356480 1024645529600 1032467251200 1056665702400 1090751692800 1117795123200 1127110082560 1207617945600 1229574635520 1288125808640 1352532099072 1408887603200 1454335590400 1536968294400 1610157260800 1690665123840 1756535193600 1803376132096 1932188712960 2049291059200 2113331404800 2181503385600 2254220165120 2415235891200 2459149271040 2705064198144 2817775206400 3073936588800 3220314521600 3381330247680 3864377425920 4098582118400 4226662809600 4363006771200 4508440330240 4830471782400 5410128396288 5635550412800 6147873177600 6440629043200 6762660495360 8453325619200 9016880660480 9660943564800 11271100825600 12295746355200 13525320990720 16906651238400 19321887129600 22542201651200 27050641981440 33813302476800 45084403302400 67626604953600 135253209907200
- Sum of all divisors σ(n): 584368398028800
- Sum of proper divisors (its aliquot sum) s(n): 449115188121600
- 135253209907200 is an abundant number, because the sum of its proper divisors (449115188121600) is greater than itself. Its abundance is 313861978214400
Bases of 135253209907200
- Binary: 111101100000011000101111000100000000000000000002
- Hexadecimal: 0x7B0317880000
- Base-36: 1BXYGT1LHC
Squares and roots of 135253209907200
- 135253209907200 squared (1352532099072002) is 18293430790201104232611840000
- 135253209907200 cubed (1352532099072003) is 2474245234589905515674675571220021248000000
-
The
square root of 135253209907200 is 11629841.3534837181 -
The
cube root of 135253209907200 is 51331.3311727039
Scales and comparisons
How big is 135253209907200?- 135,253,209,907,200 seconds is equal to 4,300,633 years, 36 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 135,253,209,907,200 would take you about ten million, seven hundred fifty-one thousand, five hundred eighty-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 135253209907200 cubic inches would be around 4277.6 feet tall.
Recreational maths with 135253209907200
- 135253209907200 backwards is 002709902352531
- 135253209907200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135253209907200's digits is 48
- More coming soon!
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"Number 135253209907200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 135253209907200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135253209907200/
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The information we have on file for 135253209907200 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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