328398988506400
328,398,988,506,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 328398988506400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
328398988506400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 328398988506400:
25 × 52 × 72 × 17 × 792 × 2812
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 79 × 79 × 281 × 281)See below for interesting mathematical facts about the number 328398988506400 from the Numbermatics database.
Names of 328398988506400
- Cardinal: 328398988506400 can be written as Three hundred twenty-eight trillion, three hundred ninety-eight billion, nine hundred eighty-eight million, five hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 3.283989885064 × 1014
Factors of 328398988506400
Divisors of 328398988506400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 68 70 79 80 85 98 100 112 119 136 140 158 160 170 175 196 200 224 238 245 272 280 281 316 340 350 392 395 400 425 476 490 544 553 560 562 595 632 680 700 784 790 800 833 850 952 980 1106 1120 1124 1190 1225 1264 1343 1360 1400 1405 1568 1580 1666 1700 1904 1960 1967 1975 2212 2248 2380 2450 2528 2686 2720 2765 2800 2810 2975 3160 3332 3400 3808 3871 3920 3934 3950 4165 4424 4496 4760 4777 4900 5372 5530 5600 5620 5950 6241 6320 6664 6715 6800 7025 7742 7840 7868 7900 8330 8848 8992 9401 9520 9554 9800 9835 10744 11060 11240 11900 12482 12640 13328 13430 13600 13769 13825 14050 15484 15736 15800 16660 17696 18802 19040 19108 19355 19600 19670 20825 21488 22120 22199 22480 23800 23885 24964 26656 26860 27538 27650 28100 30968 31205 31472 31600 33320 33439 33575 37604 38216 38710 39200 39340 41650 42976 43687 44240 44398 44960 47005 47600 47770 49175 49928 53720 55076 55300 56200 61936 62410 62944 63200 65807 66640 66878 67150 68845 75208 76432 77420 78680 78961 83300 87374 88480 88796 94010 95200 95540 96775 98350 99856 106097 107440 110152 110600 110995 112400 119425 123872 124820 131614 133280 133756 134300 137690 150416 152864 154840 155393 156025 157360 157922 166600 167195 174748 177592 188020 191080 193550 196700 199712 212194 214880 218435 220304 221200 221990 224800 234073 235025 238850 249640 263228 267512 268600 275380 300832 305809 309680 310786 312050 314720 315844 329035 333200 334390 344225 349496 355184 376040 377383 382160 387100 393400 394805 424388 436870 440608 442400 443980 468146 470050 477700 499280 526456 530485 535024 537200 550760 552727 554975 611618 619360 621572 624100 631688 658070 666400 668780 688450 698992 710368 742679 752080 754766 764320 774200 776965 786800 789610 835975 848776 873740 887960 936292 940100 955400 998560 1052912 1060970 1070048 1074400 1087751 1092175 1101520 1105454 1109950 1170365 1223236 1243144 1248200 1263376 1316140 1337560 1342337 1376900 1397984 1485358 1504160 1509532 1529045 1548400 1553930 1573600 1579220 1645175 1671950 1697552 1747480 1753721 1775920 1872584 1880200 1886915 1910800 1974025 2105824 2121940 2175502 2184350 2203040 2210908 2219900 2340730 2446472 2486288 2496400 2526752 2632280 2641681 2652425 2675120 2684674 2753800 2763635 2970716 3019064 3058090 3096800 3107860 3158440 3290350 3343900 3395104 3494960 3507442 3551840 3713395 3745168 3760400 3773830 3821600 3869089 3884825 3948050 4243880 4351004 4368700 4421816 4439800 4681460 4892944 4972576 4992800 5198753 5264560 5283362 5304850 5350240 5369348 5438755 5507600 5527270 5851825 5941432 6038128 6116180 6215720 6237919 6316880 6580700 6687800 6711685 6989920 7014884 7426790 7490336 7520800 7547660 7645225 7738178 7769650 7896100 8487760 8702008 8737400 8768605 8843632 8879600 9362920 9396359 9434575 9785888 10397506 10529120 10566724 10609700 10738696 10877510 11015200 11054540 11703650 11882864 12076256 12232360 12276047 12431440 12475838 12633760 13161400 13208405 13375600 13423370 13818175 14029768 14853580 15095320 15290450 15476356 15539300 15792200 16975520 17404016 17474800 17537210 17687264 17759200 18491767 18566975 18725840 18792718 18869150 19345445 20795012 21133448 21219400 21477392 21755020 22109080 23407300 23765728 24464720 24552094 24862880 24951676 25993765 26322800 26416810 26751200 26846740 27193775 27636350 28059536 29707160 29813257 30190640 30580900 30952712 31078600 31189595 31584400 33558425 34808032 34949600 35074420 36983534 37133950 37451680 37585436 37738300 38690890 41590024 42266896 42438800 42954784 43510040 43665433 43843025 44218160 46814600 46981795 48929440 49104188 49903352 51987530 52645600 52833620 53693480 54387550 55272700 56119072 59414320 59626514 60381280 61161800 61380235 61905424 62157200 62379190 63168800 65774513 66042025 67116850 70148840 73967068 74267900 75170872 75476600 77381780 83180048 84533792 84877600 85932329 87020080 87330866 87686050 88436320 92458835 93629200 93963590 96727225 98208376 99806704 103975060 105667240 106044623 107386960 108775100 110545400 118828640 119253028 122323600 122760470 123810848 124314400 124758380 129968825 131549026 132084050 134233700 140297680 147934136 148535800 149066285 150341744 150953200 154763560 155947975 166360096 171864658 174040160 174661732 175372100 184917670 187258400 187927180 193454450 196416752 199613408 207950120 208692799 211334480 212089246 214773920 217550200 218327165 221090800 234908975 238506056 244647200 245520940 249516760 259937650 263098052 264168100 268467400 280595360 295868272 297071600 298132570 300683488 301906400 305658031 306901175 309527120 311895950 328872565 343729316 349323464 350744200 369835340 375854360 386908900 392833504 415900240 417385598 422668960 424178492 429661645 435100400 436654330 442181600 462294175 469817950 477012112 491041880 492795601 499033520 519875300 526196104 528336200 530223115 536934800 591736544 594143200 596265140 611316062 613802350 619054240 623791900 657745130 687458632 698646928 701488400 739670680 742312361 745331425 751708720 773817800 831800480 834771196 848356984 859323290 870200800 873308660 924588350 939635900 954024224 982083760 985591202 998067040 1039750600 1043463995 1052392208 1056672400 1060446230 1073869600 1091635825 1192530280 1222632124 1227604700 1247583800 1315490260 1374917264 1397293856 1402976800 1460849593 1479341360 1484624722 1490662850 1503417440 1528290155 1547635600 1644362825 1669542392 1696713968 1718646580 1746617320 1849176700 1879271800 1964167520 1971182404 2079501200 2086927990 2104784416 2113344800 2120892460 2148308225 2183271650 2385060560 2445264248 2455209400 2463978005 2495167600 2630980520 2651115575 2749834528 2921699186 2958682720 2969249444 2981325700 3056580310 3095271200 3288725650 3339084784 3393427936 3437293160 3449569207 3493234640 3698353400 3711561805 3758543600 3942364808 4159002400 4173855980 4241784920 4296616450 4366543300 4770121120 4890528496 4910418800 4927956010 4990335200 5196186527 5217319975 5261961040 5302231150 5843398372 5938498888 5962651400 6113160620 6577451300 6678169568 6874586320 6899138414 6986469280 7304247965 7396706800 7423123610 7517087200 7641450775 7884729616 8347711960 8377525217 8483569840 8593232900 8733086600 9781056992 9820837600 9855912020 10392373054 10434639950 10523922080 10604462300 11686796744 11876997776 11925302800 12226321240 12319890025 13154902600 13749172640 13798276828 14608495930 14793413600 14846247220 15282901550 15769459232 16695423920 16755050434 16967139680 17186465800 17247846035 17466173200 18557809025 19711824040 20784746108 20869279900 21208924600 23373593488 23753995552 23850605600 24146984449 24452642480 24639780050 25980932635 26309805200 27596553656 29216991860 29692494440 30565803100 33390847840 33510100868 34372931600 34495692070 34932346400 36521239825 37115618050 39423648080 41569492216 41738559800 41887626085 42417849200 46747186976 48293968898 48905284960 49279560100 51961865270 52619610400 55193107312 58433983720 58642676519 59384988880 61131606200 67020201736 68745863200 68991384140 73042479650 74231236100 78847296160 83138984432 83477119600 83775252170 84835698400 86239230175 96587937796 98559120200 103923730540 110386214624 116867967440 117285353038 118769977760 120734922245 122263212400 129904663175 134040403472 137982768280 146084959300 148462472200 166277968864 166954239200 167550504340 172478460350 193175875592 197118240400 207847461080 209438130425 233735934880 234570706076 241469844490 244526424800 259809326350 268080806944 275965536560 292169918600 293213382595 296924944400 335101008680 344956920700 386351751184 394236480800 410498735633 415694922160 418876260850 469141412152 482939688980 519618652700 551931073120 584339837200 586426765190 593849888800 603674611225 670202017360 689913841400 772703502368 820997471266 831389844320 837752521700 938282824304 965879377960 1039237305400 1168679674400 1172853530380 1207349222450 1340404034720 1379827682800 1466066912975 1641994942532 1675505043400 1876565648608 1931758755920 2052493678165 2078474610800 2345707060760 2414698444900 2759655365600 2932133825950 3283989885064 3351010086800 3863517511840 4104987356330 4156949221600 4691414121520 4829396889800 5864267651900 6567979770128 6702020173600 8209974712660 9382828243040 9658793779600 10262468390825 11728535303800 13135959540256 16419949425320 19317587559200 20524936781650 23457070607600 32839898850640 41049873563300 46914141215200 65679797701280 82099747126600 164199494253200 328398988506400
- Sum of all divisors σ(n): 1003682387321334
- Sum of proper divisors (its aliquot sum) s(n): 675283398814934
- 328398988506400 is an abundant number, because the sum of its proper divisors (675283398814934) is greater than itself. Its abundance is 346884410308534
Bases of 328398988506400
- Binary: 10010101010101101010110010000110111110101001000002
- Hexadecimal: 0x12AAD590DF520
- Base-36: 38EOEUQUXS
Squares and roots of 328398988506400
- 328398988506400 squared (3283989885064002) is 107845895652026639302840960000
- 328398988506400 cubed (3283989885064003) is 35416483046692310054280286931907142144000000
-
The
square root of 328398988506400 is 18121782.1559139155 -
The
cube root of 328398988506400 is 68992.2968720755
Scales and comparisons
How big is 328398988506400?- 328,398,988,506,400 seconds is equal to 10,442,072 years, 1 week, 3 days, 19 hours, 46 minutes, 40 seconds.
-
To count from 1 to 328,398,988,506,400 would take you about twenty-six million, one hundred five thousand, one hundred eighty 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 328398988506400 cubic inches would be around 5749.4 feet tall.
Recreational maths with 328398988506400
- 328398988506400 backwards is 004605889893823
- The number of decimal digits it has is: 15
- The sum of 328398988506400's digits is 73
- More coming soon!
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The information we have on file for 328398988506400 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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