135535138041216000
135,535,138,041,216,000 is an even composite number composed of six prime numbers multiplied together.
135535138041216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 135535138041216000:
210 × 3 × 53 × 312 × 413 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 41 × 41 × 41 × 73 × 73)See below for interesting mathematical facts about the number 135535138041216000 from the Numbermatics database.
Names of 135535138041216000
- Cardinal: 135535138041216000 can be written as One hundred thirty-five quadrillion, five hundred thirty-five trillion, one hundred thirty-eight billion, forty-one million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.35535138041216 × 1017
Factors of 135535138041216000
Divisors of 135535138041216000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 41 48 50 60 62 64 73 75 80 82 93 96 100 120 123 124 125 128 146 150 155 160 164 186 192 200 205 219 240 246 248 250 256 292 300 310 320 328 365 372 375 384 400 410 438 465 480 492 496 500 512 584 600 615 620 640 656 730 744 750 768 775 800 820 876 930 960 961 984 992 1000 1024 1025 1095 1168 1200 1230 1240 1271 1280 1312 1460 1488 1500 1536 1550 1600 1640 1681 1752 1825 1860 1920 1922 1968 1984 2000 2050 2190 2263 2325 2336 2400 2460 2480 2542 2560 2624 2883 2920 2976 2993 3000 3072 3075 3100 3200 3280 3362 3504 3650 3720 3813 3840 3844 3875 3936 3968 4000 4100 4380 4526 4650 4672 4800 4805 4920 4960 5043 5084 5120 5125 5248 5329 5475 5766 5840 5952 5986 6000 6150 6200 6355 6400 6560 6724 6789 7008 7300 7440 7626 7680 7688 7750 7872 7936 8000 8200 8405 8760 8979 9052 9125 9300 9344 9600 9610 9840 9920 10086 10168 10250 10496 10658 10950 11315 11532 11625 11680 11904 11972 12000 12300 12400 12710 12800 13120 13448 13578 14016 14415 14600 14880 14965 15252 15360 15375 15376 15500 15744 15872 15987 16000 16400 16810 17520 17958 18104 18250 18600 18688 19065 19200 19220 19680 19840 20172 20336 20500 20992 21316 21900 22630 23064 23250 23360 23808 23944 24000 24025 24600 24800 25215 25420 25600 26240 26645 26896 27156 27375 28032 28830 29200 29760 29930 30504 30750 30752 31000 31488 31744 31775 31974 32000 32800 33620 33945 35040 35916 36208 36500 37200 37376 38130 38400 38440 39360 39401 39680 40344 40672 41000 41984 42025 42632 43800 44895 45260 46128 46500 46720 47616 47888 48000 48050 49200 49600 50430 50840 52111 52480 53290 53792 54312 54750 56064 56575 57660 58400 59520 59860 61008 61500 61504 62000 62976 63550 63948 64000 65600 67240 67890 68921 70080 70153 71832 72075 72416 73000 74400 74752 74825 76260 76800 76880 78720 78802 79360 79935 80688 81344 82000 84050 85264 87600 89790 90520 92256 92783 93000 93440 95232 95325 95776 96000 96100 98400 99200 100860 101680 104222 104960 106580 107584 108624 109500 112128 113150 115320 116800 118203 119040 119720 120125 122016 122713 123000 123008 124000 125952 126075 127100 127896 128000 131200 133225 134480 135780 137842 140160 140306 143664 144150 144832 146000 148800 149650 152520 153760 156333 157440 157604 158720 158875 159870 161376 162688 164000 165199 168100 169725 170528 175200 179580 181040 184512 185566 186000 186880 190650 191552 192000 192200 196800 197005 198400 201720 203360 206763 208444 209920 210125 210459 213160 215168 217248 218489 219000 224256 224475 226300 230640 233600 236406 238080 239440 240250 244032 245426 246000 246016 248000 252150 254200 255792 260555 262400 266450 268960 271560 275684 278349 280320 280612 282875 287328 288300 289664 292000 297600 299300 305040 307520 312666 314880 315208 317750 319740 322752 325376 328000 330398 336200 339450 341056 344605 350400 350765 359160 360375 362080 368139 369024 371132 372000 373760 374125 381300 383104 384000 384400 393600 394010 396800 399675 403440 406720 413526 416888 420250 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55095584569600 56472974183840 58020178956000 58294683028480 59891797632000 61888190886400 66114701483520 67767569020608 68314081674000 68869480712000 70517761728000 70591217729800 72868353785600 74265829063680 77360238608000 80627684736000 82643376854400 84709461275760 87442024542720 88239022162250 90356758694144 91085442232000 92832286329600 103304221068000 105886826594700 106636615296000 109302530678400 110191169139200 112945948367680 116040357912000 123776381772800 132229402967040 132358533243375 135535138041216 136628163348000 137738961424000 141035523456000 141182435459600 145736707571200 154720477216000 165286753708800 169418922551520 174884049085440 176478044324500 180713517388288 182170884464000 185664572659200 206608442136000 211773653189400 218605061356800 220382338278400 225891896735360 232080715824000 264717066486750 271070276082432 273256326696000 275477922848000 282364870919200 291473415142400 309440954432000 330573507417600 338837845103040 352956088649000 361427034776576 364341768928000 371329145318400 413216884272000 423547306378800 437210122713600 451783793470720 464161431648000 529434132973500 542140552164864 546512653392000 550955845696000 564729741838400 618881908864000 661147014835200 677675690206080 705912177298000 728683537856000 826433768544000 847094612757600 874420245427200 903567586941440 928322863296000 1058868265947000 1084281104329728 1093025306784000 1101911691392000 1129459483676800 1355351380412160 1411824354596000 1457367075712000 1652867537088000 1694189225515200 1807135173882880 1856645726592000 2117736531894000 2186050613568000 2258918967353600 2710702760824320 2823648709192000 3305735074176000 3388378451030400 4235473063788000 4372101227136000 4517837934707200 5421405521648640 5647297418384000 6776756902060800 8470946127576000 9035675869414400 11294594836768000 13553513804121600 16941892255152000 22589189673536000 27107027608243200 33883784510304000 45178379347072000 67767569020608000 135535138041216000
- Sum of all divisors σ(n): 484129927444782528
- Sum of proper divisors (its aliquot sum) s(n): 348594789403566528
- 135535138041216000 is an abundant number, because the sum of its proper divisors (348594789403566528) is greater than itself. Its abundance is 213059651362350528
Bases of 135535138041216000
- Binary: 1111000011000010001111101011011011000011110111100000000002
- Hexadecimal: 0x1E1847D6D87BC00
- Base-36: 112J72UO6DXC
Squares and roots of 135535138041216000
- 135535138041216000 squared (1355351380412160002) is 18369773643851476497314758656000000
- 135535138041216000 cubed (1355351380412160003) is 2489749806605301309072294899190979620765696000000000
-
The
square root of 135535138041216000 is 368150971.8053396637 -
The
cube root of 135535138041216000 is 513669.7223156545
Scales and comparisons
How big is 135535138041216000?- 135,535,138,041,216,000 seconds is equal to 4,309,598,152 years, 21 hours, 20 minutes.
-
To count from 1 to 135,535,138,041,216,000 would take you about twelve billion, nine hundred twenty-eight million, seven hundred ninety-four thousand, four 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 135535138041216000 cubic inches would be around 42805.8 feet tall.
Recreational maths with 135535138041216000
- 135535138041216000 backwards is 000612140831535531
- 135535138041216000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135535138041216000's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 135535138041216000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 135535138041216000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/135535138041216000/
Chicago style:
Numbermatics. 2024. "Number 135535138041216000 - Facts about the integer". https://numbermatics.com/n/135535138041216000/
The information we have on file for 135535138041216000 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 135535138041216000, math, Factors of 135535138041216000, curriculum, school, college, exams, university, Prime factorization of 135535138041216000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, five hundred thirty-five trillion, one hundred thirty-eight billion, forty-one million, two hundred sixteen thousand.