122728883944320
122,728,883,944,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122728883944320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
122728883944320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 122728883944320:
27 × 34 × 5 × 37 × 61 × 331 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 37 × 61 × 331 × 3169)See below for interesting mathematical facts about the number 122728883944320 from the Numbermatics database.
Names of 122728883944320
- Cardinal: 122728883944320 can be written as One hundred twenty-two trillion, seven hundred twenty-eight billion, eight hundred eighty-three million, nine hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2272888394432 × 1014
Factors of 122728883944320
Divisors of 122728883944320
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 61 64 72 74 80 81 90 96 108 111 120 122 128 135 144 148 160 162 180 183 185 192 216 222 240 244 270 288 296 305 320 324 331 333 360 366 370 384 405 432 444 480 488 540 549 555 576 592 610 640 648 662 666 720 732 740 810 864 888 915 960 976 993 999 1080 1098 1110 1152 1184 1220 1296 1324 1332 1440 1464 1480 1620 1647 1655 1665 1728 1776 1830 1920 1952 1986 1998 2160 2196 2220 2257 2368 2440 2592 2648 2664 2745 2880 2928 2960 2979 2997 3169 3240 3294 3310 3330 3456 3552 3660 3904 3972 3996 4320 4392 4440 4514 4736 4880 4941 4965 4995 5184 5296 5328 5490 5760 5856 5920 5958 5994 6338 6480 6588 6620 6660 6771 7104 7320 7808 7944 7992 8235 8640 8784 8880 8937 9028 9507 9760 9882 9930 9990 10368 10592 10656 10980 11285 11712 11840 11916 11988 12247 12676 12960 13176 13240 13320 13542 14208 14640 14895 14985 15845 15888 15984 16470 17280 17568 17760 17874 18056 19014 19520 19764 19860 19980 20191 20313 21184 21312 21960 22570 23424 23680 23832 23976 24494 24705 25352 25920 26352 26480 26640 26811 27084 28521 29280 29790 29970 31690 31776 31968 32940 33855 35136 35520 35748 36112 36741 38028 39040 39528 39720 39960 40382 40626 42368 42624 43920 44685 45140 47535 47664 47952 48988 49410 50704 51840 52704 52960 53280 53622 54168 57042 58560 59580 59940 60573 60939 61235 63380 63552 63936 65880 67710 70272 71040 71496 72224 73482 76056 79056 79440 79920 80764 81252 85563 87840 89370 90280 95070 95328 95904 97976 98820 100955 101408 101565 105408 105920 106560 107244 108336 110223 114084 117120 117253 119160 119880 121146 121878 122470 126760 127104 127872 131760 134055 135420 142605 142992 144448 146964 152112 158112 158880 159840 161528 162504 171126 175680 178740 180560 181719 182817 183705 190140 190656 191808 193309 195952 197640 201910 202816 203130 210816 211840 213120 214488 216672 220446 228168 234506 238320 239760 242292 243756 244940 253520 256689 263520 268110 270840 285210 285984 288896 293928 302865 304224 304695 316224 317760 319680 323056 325008 330669 342252 351360 351759 357480 361120 363438 365634 367410 380280 381312 383616 386618 391904 395280 403820 405632 406260 427815 428976 433344 440892 456336 469012 476640 479520 484584 487512 489880 507040 513378 527040 536220 541680 545157 551115 570420 571968 579927 586265 587856 605730 608448 609390 632448 635520 639360 646112 650016 661338 684504 703518 714960 722240 726876 731268 734820 747067 760560 773236 783808 790560 807640 812520 855630 857952 866688 881784 908595 912672 914085 938024 953280 959040 966545 969168 975024 979760 992007 1014080 1026756 1048939 1054080 1055277 1072440 1083360 1090314 1102230 1140840 1143936 1159854 1172530 1175712 1211460 1216896 1218780 1283445 1292224 1300032 1322676 1369008 1407036 1429920 1444480 1453752 1462536 1469640 1494134 1521120 1546472 1567616 1581120 1615280 1625040 1635471 1653345 1711260 1715904 1739781 1758795 1763568 1817190 1825344 1828170 1876048 1906560 1918080 1933090 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3839116740 3862313820 3872795328 4095057856 4119801408 4191560244 4303105920 4531416480 4577557120 4606940088 4634776584 4657289160 4734910646 4840994160 4967775104 5010569280 5118822320 5149751760 5182807599 5239450305 5437699776 5588746992 5758675110 5793470730 6041888640 6078395520 6142586784 6179702112 6209718880 6287340366 6454658880 6797124720 6866335680 6910410132 6985933740 7102365969 7451662656 7678233480 7724627640 7745590656 8190115712 8239602816 8383120488 8638012665 9062832960 9213880176 9269553168 9314578320 9469821292 9681988320 10021138560 10237644640 10299503520 10365615198 10478900610 10875399552 11177493984 11517350220 11586941460 11837276615 12285173568 12359404224 12419437760 12574680732 12909317760 13594249440 13732671360 13820820264 13971867480 14204731938 14903325312 15356466960 15449255280 15718350915 16766240976 17276025330 18125665920 18427760352 18539106336 18629156640 18939642584 19363976640 20475289280 20599007040 20731230396 20957801220 21307097907 22354987968 23034700440 23173882920 23674553230 24570347136 24718808448 24838875520 25149361464 25914037995 27188498880 27641640528 27943734960 28409463876 30712933920 30898510560 31436701830 33532481952 34552050660 35511829845 36855520704 37078212672 37258313280 37879285168 38727953280 40950578560 41198014080 41462460792 41915602440 42614195814 44709975936 46069400880 46347765840 47349106460 50298722928 51828075990 54376997760 55283281056 55887469920 56818927752 61425867840 61797021120 62873403660 63921293721 67064963904 69104101320 71023659690 73711041408 74156425344 74516626560 75758570336 82924921584 83831204880 85228391628 92138801760 92695531680 94698212920 100597445856 103656151980 106535489535 110566562112 111774939840 113637855504 122851735680 123594042240 125746807320 127842587442 134129927808 138208202640 142047319380 151517140672 165849843168 167662409760 170456783256 184277603520 185391063360 189396425840 191763881163 201194891712 207312303960 213070979070 221133124224 223549879680 227275711008 251493614640 255685174884 276416405280 284094638760 303034281344 319606468605 331699686336 335324819520 340913566512 368555207040 370782126720 378792851680 383527762326 402389783424 414624607920 426141958140 454551422016 502987229280 511370349768 552832810560 568189277520 639212937210 663399372672 670649639040 681827133024 757585703360 767055524652 829249215840 852283916280 909102844032 958819405815 1005974458560 1022740699536 1105665621120 1136378555040 1278425874420 1363654266048 1515171406720 1534111049304 1658498431680 1704567832560 1917638811630 2011948917120 2045481399072 2272757110080 2556851748840 2727308532096 3068222098608 3316996863360 3409135665120 3835277623260 4090962798144 4545514220160 5113703497680 6136444197216 6818271330240 7670555246520 8181925596288 10227406995360 12272888394432 13636542660480 15341110493040 20454813990720 24545776788864 30682220986080 40909627981440 61364441972160 122728883944320
- Sum of all divisors σ(n): 459038839723200
- Sum of proper divisors (its aliquot sum) s(n): 336309955778880
- 122728883944320 is an abundant number, because the sum of its proper divisors (336309955778880) is greater than itself. Its abundance is 213581071834560
Bases of 122728883944320
- Binary: 110111110011111000010111000011111111011100000002
- Hexadecimal: 0x6F9F0B87FB80
- Base-36: 17I4VCQG00
Squares and roots of 122728883944320
- 122728883944320 squared (1227288839443202) is 15062378954218367480860262400
- 122728883944320 cubed (1227288839443203) is 1848588958597634073056992662964862189568000
-
The
square root of 122728883944320 is 11078306.9078411075 -
The
cube root of 122728883944320 is 49695.3318428723
Scales and comparisons
How big is 122728883944320?- 122,728,883,944,320 seconds is equal to 3,902,398 years, 45 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 122,728,883,944,320 would take you about nine million, seven hundred fifty-five thousand, nine hundred ninety-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 122728883944320 cubic inches would be around 4141.3 feet tall.
Recreational maths with 122728883944320
- 122728883944320 backwards is 023449388827221
- The number of decimal digits it has is: 15
- The sum of 122728883944320's digits is 63
- More coming soon!
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"Number 122728883944320 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 122728883944320 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/122728883944320/
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The information we have on file for 122728883944320 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 122728883944320, math, Factors of 122728883944320, curriculum, school, college, exams, university, Prime factorization of 122728883944320, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two trillion, seven hundred twenty-eight billion, eight hundred eighty-three million, nine hundred forty-four thousand, three hundred twenty.