135675584928000
135,675,584,928,000 is an even composite number composed of seven prime numbers multiplied together.
135675584928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 135675584928000:
28 × 33 × 53 × 132 × 41 × 131 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 41 × 131 × 173)See below for interesting mathematical facts about the number 135675584928000 from the Numbermatics database.
Names of 135675584928000
- Cardinal: 135675584928000 can be written as One hundred thirty-five trillion, six hundred seventy-five billion, five hundred eighty-four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35675584928 × 1014
Factors of 135675584928000
Divisors of 135675584928000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 72 75 78 80 82 90 96 100 104 108 117 120 123 125 128 130 131 135 144 150 156 160 164 169 173 180 192 195 200 205 208 216 225 234 240 246 250 256 260 262 270 288 300 312 320 325 328 338 346 351 360 369 375 384 390 393 400 410 416 432 450 468 480 492 500 507 519 520 524 533 540 576 585 600 615 624 640 650 655 656 675 676 692 702 720 738 750 768 780 786 800 820 832 845 864 865 900 936 960 975 984 1000 1014 1025 1038 1040 1048 1066 1080 1107 1125 1152 1170 1179 1200 1230 1248 1280 1300 1310 1312 1350 1352 1384 1404 1440 1476 1500 1521 1557 1560 1572 1599 1600 1625 1640 1664 1690 1703 1728 1730 1755 1800 1845 1872 1920 1950 1965 1968 2000 2028 2050 2076 2080 2096 2132 2160 2214 2249 2250 2304 2340 2358 2400 2460 2496 2535 2595 2600 2620 2624 2665 2700 2704 2768 2808 2880 2925 2952 3000 3042 3075 3114 3120 3144 3198 3200 3250 3275 3280 3328 3375 3380 3406 3456 3460 3510 3537 3600 3690 3744 3840 3900 3930 3936 4000 4056 4100 4152 4160 4192 4225 4264 4320 4325 4428 4498 4500 4563 4671 4680 4716 4797 4800 4875 4920 4992 5070 5109 5125 5190 5200 5240 5248 5330 5371 5400 5408 5535 5536 5616 5760 5850 5895 5904 6000 6084 6150 6228 6240 6288 6396 6400 6500 6550 6560 6747 6750 6760 6812 6912 6920 6929 7020 7074 7093 7200 7380 7488 7605 7785 7800 7860 7872 7995 8000 8112 8200 8304 8320 8384 8450 8515 8528 8640 8650 8775 8856 8996 9000 9126 9225 9342 9360 9432 9594 9600 9750 9825 9840 9984 10140 10218 10250 10380 10400 10480 10496 10660 10742 10800 10816 11070 11072 11232 11245 11520 11700 11790 11808 12000 12168 12300 12456 12480 12576 12675 12792 12975 13000 13100 13120 13325 13494 13500 13520 13624 13840 13858 14040 14148 14186 14391 14400 14625 14760 14976 15210 15327 15375 15570 15600 15720 15744 15990 16000 16113 16224 16375 16400 16608 16640 16768 16900 17030 17056 17280 17300 17550 17685 17712 17992 18000 18252 18450 18684 18720 18864 19188 19200 19500 19650 19680 20241 20280 20436 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51784574400 52182917280 52283462400 53520940800 54357205500 55152676800 56531493720 57538416000 57981019200 58886972625 60300259968 60327072000 61280752000 62812770800 63637704000 64730718000 65228646600 65354328000 66183212160 66901176000 67837792464 68940846000 69046099200 69577223040 70664367150 72476274000 73536902400 75375324960 77308025600 78425193600 78515963500 79668576000 80281411200 81535808250 82729015200 83492667648 84797240580 84850272000 86307624000 86971528800 87139104000 89201568000 90450389952 91921128000 94219156200 96635032000 98031492000 100351764000 100500433280 103411269000 103569148800 104365834560 105996550725 108714411000 110305353600 113062987440 115076832000 115962038400 117773945250 120600519936 122561504000 125625541600 127275408000 129461436000 130457293200 130708656000 132366424320 133802352000 135675584928 137881692000 139154446080 141328734300 144952548000 150750649920 156850387200 157031927000 160562822400 163071616500 165458030400 169594481160 172615248000 173943057600 176660917875 180900779904 183842256000 188438312400 193270064000 196062984000 200703528000 201000866560 206822538000 207138297600 208731669120 211993101450 217428822000 220610707200 226125974880 231924076800 235547890500 251251083200 254550816000 258922872000 260914586400 261417312000 267604704000 271351169856 275763384000 282657468600 289905096000 301501299840 314063854000 326143233000 330916060800 339188962320 345230496000 347886115200 353321835750 361801559808 367684512000 376876624800 386540128000 392125968000 401407056000 413645076000 417463338240 423986202900 434857644000 452251949760 471095781000 502502166400 517845744000 521829172800 529982753625 542702339712 551526768000 565314937200 579810192000 603002599680 628127708000 652286466000 661832121600 678377924640 695772230400 706643671500 753753249600 784251936000 802814112000 827290152000 847972405800 869715288000 904503899520 942191562000 1005004332800 1035691488000 1043658345600 1059965507250 1085404679424 1103053536000 1130629874400 1159620384000 1256255416000 1304572932000 1356755849280 1413287343000 1507506499200 1654580304000 1695944811600 1739430576000 1809007799040 1884383124000 2087316691200 2119931014500 2261259748800 2512510832000 2609145864000 2713511698560 2826574686000 3015012998400 3309160608000 3391889623200 3478861152000 3768766248000 4239862029000 4522519497600 5025021664000 5218291728000 5427023397120 5653149372000 6783779246400 7537532496000 8479724058000 9045038995200 10436583456000 11306298744000 13567558492800 15075064992000 16959448116000 22612597488000 27135116985600 33918896232000 45225194976000 67837792464000 135675584928000
- Sum of all divisors σ(n): 562897149534720
- Sum of proper divisors (its aliquot sum) s(n): 427221564606720
- 135675584928000 is an abundant number, because the sum of its proper divisors (427221564606720) is greater than itself. Its abundance is 291545979678720
Bases of 135675584928000
- Binary: 111101101100101011011110000101101011001000000002
- Hexadecimal: 0x7B656F0B5900
- Base-36: 1C3CI485C0
Squares and roots of 135675584928000
- 135675584928000 squared (1356755849280002) is 18407864345554940765184000000
- 135675584928000 cubed (1356755849280003) is 2497497762358442505076731097546752000000000
-
The
square root of 135675584928000 is 11647986.3035633761 -
The
cube root of 135675584928000 is 51384.7089379423
Scales and comparisons
How big is 135675584928000?- 135,675,584,928,000 seconds is equal to 4,314,063 years, 48 weeks, 2 days.
-
To count from 1 to 135,675,584,928,000 would take you about ten million, seven hundred eighty-five thousand, one hundred fifty-nine 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 135675584928000 cubic inches would be around 4282.1 feet tall.
Recreational maths with 135675584928000
- 135675584928000 backwards is 000829485576531
- The number of decimal digits it has is: 15
- The sum of 135675584928000's digits is 63
- More coming soon!
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Cite this page
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"Number 135675584928000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 135675584928000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/135675584928000/
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Numbermatics. 2024. "Number 135675584928000 - Facts about the integer". https://numbermatics.com/n/135675584928000/
The information we have on file for 135675584928000 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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