135378904891663200
135,378,904,891,663,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135378904891663200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
135378904891663200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135378904891663200:
25 × 3 × 52 × 71 × 1093 × 8191 × 88741
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 71 × 1093 × 8191 × 88741)See below for interesting mathematical facts about the number 135378904891663200 from the Numbermatics database.
Names of 135378904891663200
- Cardinal: 135378904891663200 can be written as One hundred thirty-five quadrillion, three hundred seventy-eight trillion, nine hundred four billion, eight hundred ninety-one million, six hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.353789048916632 × 1017
Factors of 135378904891663200
Divisors of 135378904891663200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 71 75 80 96 100 120 142 150 160 200 213 240 284 300 355 400 426 480 568 600 710 800 852 1065 1093 1136 1200 1420 1704 1775 2130 2186 2272 2400 2840 3279 3408 3550 4260 4372 5325 5465 5680 6558 6816 7100 8191 8520 8744 10650 10930 11360 13116 14200 16382 16395 17040 17488 21300 21860 24573 26232 27325 28400 32764 32790 34080 34976 40955 42600 43720 49146 52464 54650 56800 65528 65580 77603 81910 81975 85200 87440 88741 98292 104928 109300 122865 131056 131160 155206 163820 163950 170400 174880 177482 196584 204775 218600 232809 245730 262112 262320 266223 310412 327640 327900 354964 388015 393168 409550 437200 443705 465618 491460 524640 532446 581561 614325 620824 655280 655800 709928 776030 786336 819100 874400 887410 931236 982920 1064892 1163122 1164045 1228650 1241648 1310560 1311600 1331115 1419856 1552060 1638200 1744683 1774820 1862472 1940075 1965840 2129784 2218525 2326244 2328090 2457300 2483296 2623200 2662230 2839712 2907805 3104120 3276400 3489366 3549640 3724944 3880150 3931680 4259568 4437050 4652488 4656180 4914600 5324460 5815610 5820225 6208240 6300611 6552800 6655575 6978732 7099280 7449888 7760300 8519136 8723415 8874100 8952763 9304976 9312360 9829200 10648920 11631220 11640450 12416480 12601222 13311150 13957464 14198560 14539025 15520600 17446830 17748200 17905526 18609952 18624720 18901833 19658400 21297840 23262440 23280900 25202444 26622300 26858289 27914928 29078050 31041200 31503055 34893660 35496400 35811052 37249440 37803666 42595680 43617075 44763815 46524880 46561800 50404888 53244600 53716578 55829856 58156100 62082400 63006110 69787320 70992800 71622104 75607332 87234150 89527630 93049760 93123600 94509165 96993913 100809776 106489200 107433156 116312200 126012220 134291445 139574640 143244208 151214664 157515275 174468300 179055260 186247200 189018330 193987826 201619552 212978400 214866312 223819075 232624400 252024440 268582890 279149280 286488416 290981739 302429328 315030550 348936600 358110520 378036660 387975652 429732624 447638150 465248800 472545825 484969565 504048880 537165780 581963478 604858656 630061100 635646173 671457225 697873200 716221040 726877531 756073320 775951304 859465248 895276300 945091650 969939130 1008097760 1074331560 1163926956 1260122200 1271292346 1342914450 1395746400 1432442080 1453755062 1454908695 1512146640 1551902608 1790552600 1890183300 1906938519 1939878260 2148663120 2180632593 2327853912 2424847825 2520244400 2542584692 2685828900 2907510124 2909817390 3024293280 3103805216 3178230865 3581105200 3634387655 3780366600 3813877038 3879756520 4297326240 4361265186 4655707824 4849695650 5040488800 5085169384 5371657800 5815020248 5819634780 6356461730 6886567823 7162210400 7268775310 7274543475 7560733200 7627754076 7759513040 8722530372 9311415648 9534692595 9699391300 10170338768 10743315600 10903162965 11630040496 11639269560 12712923460 13773135646 14537550620 14549086950 15121466400 15255508152 15519026080 15891154325 17445060744 18171938275 19069385190 19398782600 20340677536 20659703469 21486631200 21806325930 23260080992 23278539120 25425846920 27546271292 29075101240 29098173900 30511016304 31782308650 34432839115 34890121488 36343876550 38138770380 38797565200 41319406938 43612651860 46557078240 47673462975 50851693840 51608304701 54515814825 55092542584 58150202480 58196347800 61022032608 63564617300 68865678230 69780242976 72687753100 76277540760 77595130400 82638813876 87225303720 95346925950 101703387680 103216609402 103298517345 109031629650 110185085168 116300404960 116392695600 127129234600 137731356460 145375506200 152555081520 154824914103 165277627752 172164195575 174450607440 190693851900 206433218804 206597034690 218063259300 220370170336 232785391200 254258469200 258041523505 275462712920 290751012400 305110163040 309649828206 330555255504 344328391150 348901214880 381387703800 412866437608 413194069380 436126518600 508516938400 516083047010 516492586725 550925425840 581502024800 619299656412 661110511008 688656782300 762775407600 774124570515 794477141383 825732875216 826388138760 872253037200 1032166094020 1032985173450 1101850851680 1238599312824 1290207617525 1377313564600 1525550815200 1548249141030 1588954282766 1651465750432 1652776277520 1744506074400 2064332188040 2065970346900 2383431424149 2477198625648 2580415235050 2754627129200 3096498282060 3177908565532 3305552555040 3870622852575 3972385706915 4128664376080 4131940693800 4766862848298 4954397251296 5160830470100 5509254258400 6192996564120 6355817131064 7741245705150 7944771413830 8257328752160 8263881387600 9533725696596 10321660940200 11917157120745 12385993128240 12711634262128 15482491410300 15889542827660 16527762775200 19067451393192 19861928534575 20643321880400 23834314241490 24771986256480 25423268524256 30964982820600 31779085655320 38134902786384 39723857069150 41286643760800 47668628482980 56407877038193 59585785603725 61929965641200 63558171310640 76269805572768 79447714138300 95337256965960 112815754076386 119171571207450 123859931282400 127116342621280 158895428276600 169223631114579 190674513931920 225631508152772 238343142414900 282039385190965 317790856553200 338447262229158 381349027863840 451263016305544 476686284829800 564078770381930 635581713106400 676894524458316 846118155572895 902526032611088 953372569659600 1128157540763860 1353789048916632 1410196925954825 1692236311145790 1805052065222176 1906745139319200 2256315081527720 2707578097833264 2820393851909650 3384472622291580 4230590777864475 4512630163055440 5415156195666528 5640787703819300 6768945244583160 8461181555728950 9025260326110880 11281575407638600 13537890489166320 16922363111457900 22563150815277200 27075780978332640 33844726222915800 45126301630554400 67689452445831600 135378904891663200
- Sum of all divisors σ(n): 447333279621709824
- Sum of proper divisors (its aliquot sum) s(n): 311954374730046624
- 135378904891663200 is an abundant number, because the sum of its proper divisors (311954374730046624) is greater than itself. Its abundance is 176575469838383424
Bases of 135378904891663200
- Binary: 1111000001111011001100101100100000010011000100011011000002
- Hexadecimal: 0x1E0F66590262360
- Base-36: 110ZTEC0R59C
Squares and roots of 135378904891663200
- 135378904891663200 squared (1353789048916632002) is 18327447889665990301328862234240000
- 135378904891663200 cubed (1353789048916632003) is 2481149824762005526201354956090260025101587968000000
-
The
square root of 135378904891663200 is 367938724.3708702101 -
The
cube root of 135378904891663200 is 513472.2751310853
Scales and comparisons
How big is 135378904891663200?- 135,378,904,891,663,200 seconds is equal to 4,304,630,421 years, 5 weeks, 4 days, 3 hours, 20 minutes.
-
To count from 1 to 135,378,904,891,663,200 would take you about twelve billion, nine hundred thirteen million, eight hundred ninety-one thousand, two hundred sixty-three 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 135378904891663200 cubic inches would be around 42789.4 feet tall.
Recreational maths with 135378904891663200
- 135378904891663200 backwards is 002366198409873531
- 135378904891663200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135378904891663200's digits is 75
- More coming soon!
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The information we have on file for 135378904891663200 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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