3988168600320
3,988,168,600,320 is an even composite number composed of seven prime numbers multiplied together.
3988168600320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 3988168600320:
28 × 33 × 5 × 17 × 61 × 257 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 61 × 257 × 433)See below for interesting mathematical facts about the number 3988168600320 from the Numbermatics database.
Names of 3988168600320
- Cardinal: 3988168600320 can be written as Three trillion, nine hundred eighty-eight billion, one hundred sixty-eight million, six hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.98816860032 × 1012
Factors of 3988168600320
Divisors of 3988168600320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 61 64 68 72 80 85 90 96 102 108 120 122 128 135 136 144 153 160 170 180 183 192 204 216 240 244 255 256 257 270 272 288 305 306 320 340 360 366 384 408 432 433 459 480 488 510 514 540 544 549 576 610 612 640 680 720 732 765 768 771 816 864 866 915 918 960 976 1020 1028 1037 1080 1088 1098 1152 1220 1224 1280 1285 1299 1360 1440 1464 1530 1542 1632 1647 1728 1732 1830 1836 1920 1952 2040 2056 2074 2160 2165 2176 2196 2295 2304 2313 2440 2448 2570 2598 2720 2745 2880 2928 3060 3084 3111 3264 3294 3456 3464 3660 3672 3840 3855 3897 3904 4080 4112 4148 4320 4330 4352 4369 4392 4590 4626 4880 4896 5140 5185 5196 5440 5490 5760 5856 6120 6168 6222 6495 6528 6588 6912 6928 6939 7320 7344 7361 7710 7794 7808 8160 8224 8235 8296 8640 8660 8738 8784 9180 9252 9333 9760 9792 10280 10370 10392 10880 10980 11520 11565 11691 11712 12240 12336 12444 12990 13056 13107 13176 13856 13878 14640 14688 14722 15420 15555 15588 15616 15677 16320 16448 16470 16592 17280 17320 17476 17568 18360 18504 18666 19485 19520 19584 20560 20740 20784 21760 21845 21960 22083 23130 23382 23424 24480 24672 24888 25980 26214 26352 26413 27712 27756 27999 29280 29376 29444 30840 31110 31176 31354 32640 32896 32940 33184 34560 34640 34695 34952 35136 36720 36805 37008 37332 38970 39040 39168 39321 41120 41480 41568 43690 43920 44166 46260 46665 46764 46848 47031 48960 49344 49776 51960 52428 52704 52826 55424 55512 55998 58455 58560 58752 58888 61680 62220 62352 62708 65280 65535 65792 65880 66249 66368 69280 69390 69904 70272 73440 73610 74016 74664 77940 78080 78385 78642 79239 82240 82960 83136 87380 87840 88332 92520 93330 93528 94062 97920 98688 99552 103920 104856 105408 105652 110415 110848 111024 111281 111996 116910 117120 117504 117776 117963 123360 124440 124704 125416 131070 131760 132065 132498 132736 138560 138780 139808 139995 140544 141093 146880 147220 148032 149328 155880 156770 157284 158478 164480 165920 166272 174760 175680 176664 185040 186660 187056 188124 195840 196605 197376 198747 199104 207840 209712 210816 211304 220830 222048 222562 223992 233820 234240 235155 235552 235926 237717 246720 248880 249408 250832 262140 263520 264130 264996 265472 266509 277120 277560 279616 279990 282186 293760 294440 296064 298656 311760 313540 314568 316956 328960 331245 331840 332544 333843 349520 351360 353328 370080 373320 374112 376248 393210 396195 397494 398208 415680 419424 421632 422608 423279 441660 444096 445124 447984 449021 467640 470310 471104 471852 475434 493440 497760 498816 501664 524280 527040 528260 529992 533018 554240 555120 556405 559232 559980 564372 587520 588880 589815 592128 597312 623520 627080 629136 633912 662490 663680 667686 699040 702720 705465 706656 713151 740160 746640 748224 752496 786420 792390 794988 796416 799527 831360 838848 845216 846558 883320 888192 890248 895968 898042 935280 940620 942208 943704 950868 986880 993735 995520 997632 1001529 1003328 1048560 1054080 1056520 1059984 1066036 1110240 1112810 1118464 1119960 1128744 1177760 1179630 1188585 1194624 1247040 1254160 1258272 1267824 1324980 1327360 1332545 1335372 1347063 1398080 1410930 1413312 1426302 1480320 1493280 1496448 1504992 1572840 1584780 1589976 1599054 1662720 1669215 1677696 1690432 1693116 1766640 1776384 1780496 1791936 1796084 1870560 1881240 1884416 1887408 1891777 1901736 1987470 1991040 2003058 2006656 2097120 2108160 2113040 2116395 2119968 2132072 2220480 2225620 2239920 2245105 2257488 2355520 2359260 2377170 2389248 2398581 2494080 2508320 2516544 2535648 2649960 2665090 2670744 2694126 2796160 2821860 2826624 2852604 2960640 2986560 2992896 3004587 3009984 3145680 3169560 3179952 3198108 3338430 3355392 3380864 3386232 3533280 3560992 3565755 3583872 3592168 3741120 3762480 3774816 3783554 3803472 3974940 3982080 3997635 4006116 4013312 4041189 4194240 4226080 4232790 4239936 4264144 4440960 4451240 4479840 4490210 4514976 4711040 4718520 4754340 4797162 4988160 5007645 5016640 5033088 5071296 5299920 5330180 5341488 5388252 5592320 5643720 5653248 5675331 5705208 5973120 6009174 6019968 6291360 6339120 6359904 6396216 6676860 6735315 6761728 6772464 6788141 7066560 7121984 7131510 7167744 7184336 7195743 7482240 7524960 7549632 7567108 7606944 7949880 7995270 8012232 8082378 8388480 8452160 8465580 8479872 8528288 8881920 8902480 8959680 8980420 9029952 9422080 9437040 9458885 9508680 9594324 10015290 10033280 10066176 10142592 10599840 10660360 10682976 10776504 11287440 11350662 11410416 11946240 11992905 12018348 12039936 12123567 12582720 12678240 12719808 12792432 13353720 13470630 13544928 13576282 14133120 14243968 14263020 14368672 14391486 14964480 15022935 15049920 15099264 15134216 15213888 15899760 15990540 16024464 16164756 16776960 16904320 16931160 16959744 17025993 17056576 17804960 17919360 17960840 18059904 18874080 18917770 19017360 19188648 20030580 20066560 20205945 20285184 20364423 21199680 21320720 21365952 21553008 22574880 22701324 22820832 23985810 24036696 24247134 25165440 25356480 25439616 25584864 26707440 26941260 27089856 27152564 28266240 28376655 28487936 28526040 28737344 28782972 30045870 30099840 30198528 30268432 30427776 31799520 31981080 32048928 32329512 33808640 33862320 33940705 34051986 34113152 35609920 35838720 35921680 35978715 36119808 37748160 37835540 38034720 38377296 40061160 40411890 40728846 42399360 42641440 42731904 43106016 45149760 45402648 45641664 47971620 48073392 48494268 50330880 50712960 50879232 51077979 51169728 53414880 53882520 54179712 54305128 56753310 57052080 57474688 57565944 60091740 60199680 60536864 60617835 60855552 61093269 63599040 63962160 64097856 64659024 67724640 67881410 68103972 68226304 71219840 71843360 71957430 75496320 75671080 76069440 76754592 80122320 80823780 81457692 84798720 85129965 85282880 85463808 86212032 90299520 90805296 91283328 95943240 96146784 96988536 101425920 101822115 102155958 102339456 106829760 107765040 108359424 108610256 113506620 114104160 114949376 115131888 115398397 120183480 121073728 121235670 122186538 127198080 127924320 128195712 129318048 135449280 135762820 136207944 142439680 143686720 143914860 150992640 151342160 152138880 153509184 160244640 161647560 162915384 170259930 170565760 172424064 180599040 181610592 182566656 183279807 191886480 192293568 193977072 203644230 204311916 204678912 213659520 215530080 217220512 227013240 228208320 230263776 230796794 240366960 242147456 242471340 244373076 254396160 255389895 255848640 256391424 258636096 270898560 271525640 272415888 287373440 287829720 302684320 304277760 305466345 307018368 320489280 323295120 325830768 340519860 341131520 344848128 346195191 363221184 366559614 383772960 384587136 387954144 407288460 408623832 427319040 431060160 434441024 454026480 456416640 460527552 461593588 480733920 484294912 484942680 488746152 510779790 511697280 517272192 541797120 543051280 544831776 574746880 575659440 576991985 605368640 610932690 614036736 640978560 646590240 651661536 681039720 692390382 726442368 733119228 767545920 769174272 775908288 814576920 817247664 862120320 868882048 908052960 912833280 916399035 921055104 923187176 961467840 969885360 977492304 1021559580 1023394560 1034544384 1038585573 1086102560 1089663552 1151318880 1153983970 1210737280 1221865380 1281957120 1293180480 1303323072 1362079440 1384780764 1452884736 1466238456 1535091840 1551816576 1629153840 1634495328 1724240640 1730975955 1737764096 1816105920 1832798070 1842110208 1846374352 1922935680 1939770720 1954984608 2043119160 2077171146 2172205120 2179327104 2302637760 2307967940 2421474560 2443730760 2586360960 2606646144 2724158880 2769561528 2932476912 3070183680 3103633152 3115756719 3258307680 3268990656 3461951910 3632211840 3665596140 3692748704 3845871360 3879541440 3909969216 4086238320 4154342292 4344410240 4358654208 4605275520 4615935880 4887461520 5172721920 5192927865 5213292288 5448317760 5539123056 5864953824 6231513438 6516615360 6537981312 6923903820 7264423680 7331192280 7385497408 7759082880 7819938432 8172476640 8308684584 8688820480 9210551040 9231871760 9774923040 10385855730 10896635520 11078246112 11729907648 12463026876 13033230720 13075962624 13847807640 14662384560 14770994816 15518165760 15578783595 15639876864 16344953280 16617369168 18463743520 19549846080 20771711460 21793271040 22156492224 23459815296 24926053752 26066461440 27695615280 29324769120 29541989632 31157567190 32689906560 33234738336 36927487040 39099692160 41543422920 44312984448 46919630592 49852107504 55391230560 58649538240 62315134380 65379813120 66469476672 73854974080 78199384320 83086845840 88625968896 99704215008 110782461120 117299076480 124630268760 132938953344 147709948160 166173691680 199408430016 221564922240 234598152960 249260537520 265877906688 332347383360 398816860032 443129844480 498521075040 664694766720 797633720064 997042150080 1329389533440 1994084300160 3988168600320
- Sum of all divisors σ(n): 15325186625280
- Sum of proper divisors (its aliquot sum) s(n): 11337018024960
- 3988168600320 is an abundant number, because the sum of its proper divisors (11337018024960) is greater than itself. Its abundance is 7348849424640
Bases of 3988168600320
- Binary: 1110100000100100010101111101101011000000002
- Hexadecimal: 0x3A0915F6B00
- Base-36: 1EW50M2O0
Squares and roots of 3988168600320
- 3988168600320 squared (39881686003202) is 15905488784578387904102400
- 3988168600320 cubed (39881686003203) is 63433770943397447288826086993952768000
-
The
square root of 3988168600320 is 1997039.9596202377 -
The
cube root of 3988168600320 is 15858.3440829427
Scales and comparisons
How big is 3988168600320?- 3,988,168,600,320 seconds is equal to 126,811 years, 22 weeks, 19 hours, 12 minutes.
-
To count from 1 to 3,988,168,600,320 would take you about three hundred seventeen thousand and twenty-eight 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 3988168600320 cubic inches would be around 1321.5 feet tall.
Recreational maths with 3988168600320
- 3988168600320 backwards is 0230068618893
- 3988168600320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3988168600320's digits is 54
- More coming soon!
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The information we have on file for 3988168600320 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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