168440628816000
168,440,628,816,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 168440628816000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
168440628816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 168440628816000:
27 × 36 × 53 × 533 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 53 × 53 × 53 × 97)See below for interesting mathematical facts about the number 168440628816000 from the Numbermatics database.
Names of 168440628816000
- Cardinal: 168440628816000 can be written as One hundred sixty-eight trillion, four hundred forty billion, six hundred twenty-eight million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.68440628816 × 1014
Factors of 168440628816000
Divisors of 168440628816000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 81 90 96 97 100 106 108 120 125 128 135 144 150 159 160 162 180 192 194 200 212 216 225 240 243 250 265 270 288 291 300 318 320 324 360 375 384 388 400 405 424 432 450 477 480 485 486 500 530 540 576 582 600 636 640 648 675 720 729 750 776 795 800 810 848 864 873 900 954 960 970 972 1000 1060 1080 1125 1152 1164 1200 1215 1272 1296 1325 1350 1431 1440 1455 1458 1500 1552 1590 1600 1620 1696 1728 1746 1800 1908 1920 1940 1944 2000 2025 2120 2160 2250 2328 2385 2400 2425 2430 2544 2592 2619 2650 2700 2809 2862 2880 2910 2916 3000 3104 3180 3200 3240 3375 3392 3456 3492 3600 3645 3816 3880 3888 3975 4000 4050 4240 4293 4320 4365 4500 4656 4770 4800 4850 4860 5088 5141 5184 5238 5300 5400 5618 5724 5760 5820 5832 6000 6075 6208 6360 6480 6625 6750 6784 6984 7155 7200 7275 7290 7632 7760 7776 7857 7950 8000 8100 8427 8480 8586 8640 8730 9000 9312 9540 9600 9700 9720 10125 10176 10282 10368 10476 10600 10800 11236 11448 11640 11664 11925 12000 12125 12150 12416 12720 12879 12960 13095 13250 13500 13968 14045 14310 14400 14550 14580 15264 15423 15520 15552 15714 15900 16000 16200 16854 16960 17172 17280 17460 18000 18225 18624 19080 19400 19440 19875 20250 20352 20564 20952 21200 21465 21600 21825 22472 22896 23280 23328 23571 23850 24000 24250 24300 25281 25440 25705 25758 25920 26190 26500 27000 27936 28090 28620 28800 29100 29160 30375 30528 30846 31040 31104 31428 31800 32400 33708 33920 34344 34920 35775 36000 36375 36450 37248 38160 38637 38800 38880 39285 39750 40500 41128 41904 42135 42400 42930 43200 43650 44944 45792 46269 46560 46656 47142 47700 48000 48500 48600 50562 50880 51410 51516 51840 52380 53000 54000 55872 56180 57240 58200 58320 59625 60750 61056 61692 62080 62856 63600 64395 64800 65475 67416 68688 69840 70225 70713 71550 72000 72750 72900 75843 76320 77115 77274 77600 77760 78570 79500 81000 82256 83808 84270 84800 85860 86400 87300 89888 91125 91584 92538 93120 93312 94284 95400 97000 97200 101124 101760 102820 103032 104760 106000 107325 108000 109125 111744 112360 114480 116400 116640 117855 119250 121500 123384 125712 126405 127200 128525 128790 129600 130950 134832 137376 138807 139680 140450 141426 143100 144000 145500 145800 148877 151686 152640 154230 154548 155200 155520 157140 159000 162000 164512 167616 168540 169600 171720 174600 178875 179776 182250 183168 185076 186240 188568 190800 193185 194000 194400 196425 202248 205640 206064 209520 210675 212000 214650 216000 218250 224720 227529 228960 231345 232800 233280 235710 238500 243000 246768 251424 252810 254400 257050 257580 259200 261900 269664 272473 274752 277614 279360 280900 282852 286200 291000 291600 297754 303372 305280 308460 309096 310400 314280 318000 321975 324000 327375 329024 335232 337080 343440 349200 351125 353565 357750 359552 364500 370152 377136 379215 381600 385575 386370 388000 388800 392850 404496 411280 412128 416421 419040 421350 424000 429300 432000 436500 446631 449440 455058 457920 462690 465600 466560 471420 477000 486000 493536 502848 505620 508800 514100 515160 523800 536625 539328 544946 549504 555228 558720 561800 565704 572400 582000 583200 589275 595508 606744 616920 618192 628560 632025 636000 642625 643950 648000 654750 658048 674160 682587 686880 694035 698400 702250 707130 715500 729000 740304 744385 754272 758430 763200 771150 772740 776000 777600 785700 808992 817419 822560 824256 832842 838080 842700 848000 858600 873000 893262 898880 910116 915840 925380 931200 942840 954000 965925 972000 982125 987072 1005696 1011240 1028200 1030320 1047600 1053375 1073250 1078656 1089892 1110456 1123600 1131408 1137645 1144800 1156725 1164000 1166400 1178550 1191016 1213488 1233840 1236384 1249263 1257120 1264050 1272000 1285250 1287900 1296000 1309500 1339893 1348320 1362365 1365174 1373760 1388070 1396800 1404500 1414260 1431000 1458000 1480608 1488770 1508544 1516860 1526400 1542300 1545480 1552000 1571400 1609875 1617984 1634838 1645120 1648512 1665684 1676160 1685400 1717200 1746000 1767825 1786524 1797760 1820232 1850760 1885680 1896075 1908000 1927875 1931850 1944000 1964250 1974144 2022480 2047761 2056400 2060640 2082105 2095200 2106750 2146500 2179784 2220912 2233155 2247200 2262816 2275290 2289600 2313450 2328000 2332800 2357100 2382032 2426976 2452257 2467680 2472768 2498526 2514240 2528100 2544000 2570500 2575800 2619000 2679786 2696640 2724730 2730348 2747520 2776140 2793600 2809000 2828520 2862000 2916000 2946375 2961216 2977540 3017088 3033720 3084600 3090960 3142800 3160125 3219750 3235968 3269676 3290240 3331368 3370800 3412935 3434400 3470175 3492000 3535650 3573048 3640464 3701520 3721925 3747789 3771360 3792150 3816000 3855750 3863700 3888000 3928500 4019679 4044960 4087095 4095522 4112800 4121280 4164210 4190400 4213500 4293000 4359568 4441824 4466310 4494400 4525632 4550580 4579200 4626900 4656000 4714200 4764064 4829625 4853952 4904514 4935360 4945536 4997052 5028480 5056200 5141000 5151600 5238000 5359572 5393280 5449460 5460696 5552280 5618000 5657040 5688225 5724000 5783625 5832000 5892750 5922432 5955080 6067440 6169200 6181920 6246315 6285600 6320250 6439500 6539352 6662736 6699465 6741600 6811825 6825870 6868800 6940350 6984000 7071300 7146096 7280928 7356771 7403040 7443850 7495578 7542720 7584300 7632000 7711500 7727400 7857000 8039358 8089920 8174190 8191044 8225600 8242560 8328420 8380800 8427000 8586000 8719136 8839125 8883648 8932620 8988800 9051264 9101160 9253800 9428400 9480375 9528128 9659250 9707904 9809028 9870720 9994104 10112400 10238805 10282000 10303200 10410525 10476000 10719144 10898920 10921392 11104560 11165775 11236000 11314080 11376450 11448000 11567250 11664000 11785500 11910160 12059037 12134880 12261285 12338400 12363840 12492630 12571200 12640500 12879000 13078704 13325472 13398930 13483200 13623650 13651740 13737600 13880700 13968000 14142600 14292192 14441069 14561856 14713542 14806080 14887700 14991156 15085440 15168600 15423000 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43595680 43685568 44140626 44418240 44663100 44944000 45256320 45505800 46269000 47142000 47640640 48236148 48539520 49045140 49353600 49970520 50562000 51194025 51516000 52052625 52314816 53301888 53595720 54494600 54606960 55522800 55828875 56570400 56882250 57168768 57764276 58854168 59550800 59964624 60295185 60674400 61306425 61692000 61819200 62463150 62856000 64314864 65393520 65528352 66210939 66627360 66994650 67416000 68118250 68258700 68688000 69403500 70713000 71460960 72205345 72354222 72809280 73567710 74030400 74438500 74955780 75427200 75843000 77274000 78472224 79952832 80393580 80899200 81741900 81910440 82256000 83284200 85323375 85753152 86646414 87191360 87371136 88281252 88836480 89326200 91011600 92538000 93694725 94284000 95281280 96472296 98090280 99941040 100491975 101124000 102177375 102388050 103032000 104105250 104629632 107191440 108531333 108989200 109213920 110351565 111045600 111657750 113140800 113764500 115528552 117708336 119101600 119929248 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2498526000 2572594560 2599392420 2615740800 2648437560 2679786000 2713283325 2730348000 2758789125 2772685248 2825000064 2888213800 2894168880 2942708400 2998231200 3014759250 3119270904 3178125072 3215743200 3249240525 3269676000 3276417600 3310546950 3331368000 3465856560 3473002656 3509179767 3531250080 3573048000 3610267250 3617711100 3640464000 3678385500 3747789000 3858891840 3899088630 3923611200 3972656340 3997641600 4019679000 4095522000 4159027872 4237500096 4287657600 4332320700 4341253320 4359568000 4414062600 4522138875 4621142080 4630670208 4678906356 4708333440 4823614800 4904514000 4965820425 4997052000 5198784840 5296875120 5359572000 5415400875 5426566650 5460696000 5517578250 5545370496 5776427600 5788337760 5848632945 5885416800 5996462400 6029518500 6238541808 6356250144 6431486400 6498481050 6539352000 6552835200 6621093900 6662736000 6931713120 6946005312 7018359534 7062500160 7146096000 7220534500 7235422200 7356771000 7495578000 7717783680 7798177260 7847222400 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28882138000 28941688800 29243164725 29427084000 29982312000 31192709040 31781250720 32157432000 32492405250 32764176000 33105469500 34658565600 34730026560 35091797670 35312500800 36177111000 37431250848 38588918400 38990886300 39236112000 39726563400 41590278720 42110157204 42375000960 43323207000 43412533200 44140626000 46211420800 46789063560 48236148000 48738607875 49658204250 49908334464 51987848400 52637696505 52968751200 54265666500 56146876272 57764276000 57883377600 58486329450 58854168000 59964624000 62385418080 63562501440 64314864000 64984810500 66210939000 69317131200 69460053120 70183595340 70625001600 72354222000 74862501696 77981772600 79453126800 83180557440 84220314408 86646414000 86825066400 87729494175 88281252000 93578127120 96472296000 97477215750 99316408500 103975696800 105275393010 105937502400 108531333000 112293752544 115528552000 115766755200 116972658900 117708336000 124770836160 127125002880 129969621000 132421878000 138634262400 140367190680 144708444000 146215823625 149725003392 155963545200 158906253600 168440628816 173292828000 173650132800 175458988350 176562504000 187156254240 192944592000 194954431500 198632817000 207951393600 210550786020 211875004800 217062666000 224587505088 231057104000 233945317800 249541672320 259939242000 263188482525 264843756000 280734381360 289416888000 292431647250 311927090400 317812507200 336881257632 346585656000 347300265600 350917976700 353125008000 374312508480 389908863000 397265634000 415902787200 421101572040 434125332000 438647470875 449175010176 467890635600 519878484000 526376965050 529687512000 561468762720 578833776000 584863294500 623854180800 635625014400 673762515264 693171312000 701835953400 748625016960 779817726000 794531268000 842203144080 868250664000 877294941750 935781271200 1039756968000 1052753930100 1059375024000 1122937525440 1169726589000 1247708361600 1315942412625 1347525030528 1403671906800 1559635452000 1589062536000 1684406288160 1736501328000 1754589883500 1871562542400 2079513936000 2105507860200 2245875050880 2339453178000 2631884825250 2807343813600 3119270904000 3178125072000 3368812576320 3509179767000 3743125084800 4211015720400 4678906356000 5263769650500 5614687627200 6238541808000 6737625152640 7018359534000 8422031440800 9357812712000 10527539301000 11229375254400 14036719068000 16844062881600 18715625424000 21055078602000 28073438136000 33688125763200 42110157204000 56146876272000 84220314408000 168440628816000
- Sum of all divisors σ(n): 646563369160800
- Sum of proper divisors (its aliquot sum) s(n): 478122740344800
- 168440628816000 is an abundant number, because the sum of its proper divisors (478122740344800) is greater than itself. Its abundance is 309682111528800
Bases of 168440628816000
- Binary: 1001100100110010001000111101100010101000100000002
- Hexadecimal: 0x993223D8A880
- Base-36: 1NPGK1E000
Squares and roots of 168440628816000
- 168440628816000 squared (1684406288160002) is 28372245435929489561856000000
- 168440628816000 cubed (1684406288160003) is 4779038862149849261236932968042496000000000
-
The
square root of 168440628816000 is 12978467.8917043211 -
The
cube root of 168440628816000 is 55226.6819494753
Scales and comparisons
How big is 168440628816000?- 168,440,628,816,000 seconds is equal to 5,355,890 years, 50 weeks, 5 days.
-
To count from 1 to 168,440,628,816,000 would take you about thirteen million, three hundred eighty-nine thousand, seven hundred twenty-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 168440628816000 cubic inches would be around 4602.2 feet tall.
Recreational maths with 168440628816000
- 168440628816000 backwards is 000618826044861
- 168440628816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 168440628816000's digits is 54
- More coming soon!
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"Number 168440628816000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 168440628816000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/168440628816000/
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The information we have on file for 168440628816000 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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