3998323117424640
3,998,323,117,424,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3998323117424640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
3998323117424640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 3998323117424640:
215 × 3 × 5 × 127 × 191 × 443 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 127 × 191 × 443 × 757)See below for interesting mathematical facts about the number 3998323117424640 from the Numbermatics database.
Names of 3998323117424640
- Cardinal: 3998323117424640 can be written as Three quadrillion, nine hundred ninety-eight trillion, three hundred twenty-three billion, one hundred seventeen million, four hundred twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.99832311742464 × 1015
Factors of 3998323117424640
Divisors of 3998323117424640
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 191 192 240 254 256 320 381 382 384 443 480 508 512 573 635 640 757 762 764 768 886 955 960 1016 1024 1146 1270 1280 1329 1514 1524 1528 1536 1772 1905 1910 1920 2032 2048 2215 2271 2292 2540 2560 2658 2865 3028 3048 3056 3072 3544 3785 3810 3820 3840 4064 4096 4430 4542 4584 5080 5120 5316 5730 6056 6096 6112 6144 6645 7088 7570 7620 7640 7680 8128 8192 8860 9084 9168 10160 10240 10632 11355 11460 12112 12192 12224 12288 13290 14176 15140 15240 15280 15360 16256 16384 17720 18168 18336 20320 20480 21264 22710 22920 24224 24257 24384 24448 24576 26580 28352 30280 30480 30560 30720 32512 32768 35440 36336 36672 40640 40960 42528 45420 45840 48448 48514 48768 48896 49152 53160 56261 56704 60560 60960 61120 61440 65024 70880 72672 72771 73344 81280 81920 84613 85056 90840 91680 96139 96896 97028 97536 97792 98304 106320 112522 113408 121120 121285 121920 122240 122880 130048 141760 144587 145344 145542 146688 162560 163840 168783 169226 170112 181680 183360 192278 193792 194056 195072 195584 212640 225044 226816 242240 242570 243840 244480 245760 253839 260096 281305 283520 288417 289174 290688 291084 293376 325120 335351 337566 338452 340224 363360 363855 366720 384556 387584 388112 390144 391168 423065 425280 433761 450088 453632 480695 484480 485140 487680 488960 491520 507678 520192 562610 567040 576834 578348 581376 582168 586752 650240 670702 675132 676904 680448 722935 726720 727710 733440 769112 775168 776224 780288 782336 843915 846130 850560 867522 900176 907264 961390 968960 970280 975360 977920 1006053 1015356 1040384 1125220 1134080 1153668 1156696 1162752 1164336 1173504 1269195 1300480 1341404 1350264 1353808 1360896 1442085 1445870 1453440 1455420 1466880 1538224 1550336 1552448 1560576 1564672 1676755 1687830 1692260 1701120 1735044 1800352 1814528 1922780 1937920 1940560 1950720 1955840 2012106 2030712 2080768 2168805 2250440 2268160 2307336 2313392 2325504 2328672 2347008 2538390 2600960 2682808 2700528 2707616 2721792 2884170 2891740 2906880 2910840 2933760 3076448 3100672 3104896 3121152 3129344 3353510 3375660 3384520 3402240 3470088 3600704 3629056 3845560 3875840 3881120 3901440 3911680 4024212 4061424 4161536 4337610 4500880 4536320 4614672 4626784 4651008 4657344 4694016 5030265 5076780 5201920 5365616 5401056 5415232 5443584 5768340 5783480 5813760 5821680 5867520 6152896 6201344 6209792 6242304 6258688 6707020 6751320 6769040 6804480 6940176 7201408 7258112 7691120 7751680 7762240 7802880 7823360 8048424 8122848 8675220 9001760 9072640 9229344 9253568 9302016 9314688 9388032 10060530 10153560 10403840 10731232 10745851 10802112 10830464 10887168 11536680 11566960 11627520 11643360 11735040 12305792 12402688 12419584 12484608 13414040 13502640 13538080 13608960 13880352 14402816 14516224 15382240 15503360 15524480 15605760 15646720 16096848 16245696 17350440 18003520 18145280 18362549 18458688 18507136 18604032 18629376 18776064 20121060 20307120 20807680 21462464 21491702 21604224 21660928 21774336 23073360 23133920 23255040 23286720 23470080 24611584 24805376 24839168 26828080 27005280 27076160 27217920 27760704 28805632 30764480 31006720 31048960 31211520 31293440 32193696 32237553 32491392 34700880 36007040 36290560 36725098 36917376 37014272 37208064 37258752 40242120 40614240 42589577 42924928 42983404 43208448 43321856 43548672 46146720 46267840 46510080 46573440 46940160 49223168 49678336 53656160 53729255 54010560 54152320 54435840 55087647 55521408 57611264 61528960 62013440 62097920 62423040 64052041 64387392 64475106 64982784 69401760 72014080 72581120 73450196 73834752 74028544 74416128 74517504 80484240 81228480 85179154 85849856 85966808 86416896 86643712 91812745 92293440 92535680 93020160 93146880 93880320 98446336 99356672 107312320 107458510 108021120 108304640 108871680 110175294 111042816 115222528 123057920 124026880 124195840 127768731 128104082 128774784 128950212 129965568 138803520 144028160 146900392 147669504 148057088 149035008 160968480 161187765 162456960 170358308 171699712 171933616 172833792 173287424 183625490 184586880 185071360 186040320 186293760 192156123 196892672 198713344 212947885 214624640 214917020 216042240 216609280 217743360 220350588 222085632 230445056 246115840 248391680 255537462 256208164 257549568 257900424 259931136 275438235 277607040 288056320 293800784 295339008 296114176 298070016 320260205 321936960 322375530 324913920 340716616 343399424 343867232 345667584 346574848 367250980 369173760 370142720 372080640 372587520 384312246 393785344 397426688 425895770 429249280 429834040 432084480 433218560 440701176 444171264 460890112 492231680 496783360 511074924 512416328 515099136 515800848 519862272 550876470 555214080 576112640 587601568 590678016 592228352 596140032 638843655 640520410 643873920 644751060 649827840 681433232 686798848 687734464 691335168 693149696 734501960 738347520 740285440 745175040 768624492 787570688 794853376 851791540 858498560 859668080 864168960 866437120 881402352 888342528 921780224 960780615 984463360 993566720 1022149848 1024832656 1030198272 1031601696 1039724544 1101752940 1110428160 1152225280 1175203136 1181356032 1184456704 1192280064 1277687310 1281040820 1287747840 1289502120 1299655680 1362866464 1373597696 1375468928 1382670336 1386299392 1469003920 1476695040 1480570880 1490350080 1537248984 1575141376 1703583080 1716997120 1719336160 1728337920 1732874240 1762804704 1776685056 1843560448 1921561230 1968926720 1987133440 2044299696 2049665312 2060396544 2063203392 2079449088 2203505880 2220856320 2304450560 2350406272 2362712064 2368913408 2384560128 2555374620 2562081640 2575495680 2579004240 2599311360 2725732928 2747195392 2750937856 2765340672 2772598784 2938007840 2953390080 2961141760 2980700160 3074497968 3150282752 3407166160 3433994240 3438672320 3456675840 3465748480 3525609408 3553370112 3843122460 3937853440 3974266880 4088599392 4099330624 4120793088 4126406784 4158898176 4407011760 4441712640 4608901120 4700812544 4725424128 4737826816 5110749240 5124163280 5150991360 5158008480 5198622720 5451465856 5494390784 5501875712 5530681344 5876015680 5906780160 5922283520 5961400320 6148995936 6814332320 6867988480 6877344640 6913351680 6931496960 7051218816 7106740224 7686244920 7875706880 8134609207 8177198784 8198661248 8241586176 8252813568 8317796352 8814023520 8883425280 9217802240 9401625088 9450848256 10221498480 10248326560 10301982720 10316016960 10397245440 10902931712 10988781568 11003751424 11752031360 11813560320 11844567040 11922800640 12297991872 13628664640 13735976960 13754689280 13826703360 13862993920 14102437632 14213480448 15372489840 15751413760 16269218414 16354397568 16397322496 16483172352 16505627136 17628047040 17766850560 18803250176 20442996960 20496653120 20603965440 20632033920 20794490880 21805863424 22007502848 23504062720 23627120640 23689134080 24403827621 24595983744 27257329280 27471953920 27509378560 27653406720 28204875264 30744979680 32538436828 32708795136 32794644992 32966344704 33011254272 35256094080 35533701120 37606500352 40673046035 40885993920 40993306240 41207930880 41264067840 41588981760 43611726848 44015005696 47008125440 47254241280 48807655242 49191967488 54514658560 54943907840 55018757120 56409750528 61489959360 65076873656 65417590272 65589289984 66022508544 70512188160 71067402240 75213000704 81346092070 81771987840 81986612480 82415861760 82528135680 87223453696 88030011392 94016250880 97615310484 98383934976 109029317120 110037514240 112819501056 122019138105 122979918720 130153747312 130835180544 131178579968 132045017088 141024376320 150426001408 162692184140 163543975680 163973224960 164831723520 165056271360 174446907392 176060022784 188032501760 195230620968 196767869952 218058634240 220075028480 225639002112 244038276210 245959837440 260307494624 261670361088 262357159936 264090034176 282048752640 300852002816 325384368280 327087951360 327946449920 330112542720 348893814784 352120045568 376065003520 390461241936 393535739904 436117268480 440150056960 451278004224 488076552420 491919674880 520614989248 523340722176 524714319872 528180068352 564097505280 601704005632 650768736560 654175902720 655892899840 660225085440 697787629568 752130007040 780922483872 787071479808 872234536960 880300113920 902556008448 976153104840 983839349760 1041229978496 1046681444352 1049428639744 1056360136704 1128195010560 1301537473120 1308351805440 1311785799680 1320450170880 1395575259136 1504260014080 1561844967744 1574142959616 1744469073920 1760600227840 1805112016896 1952306209680 1967678699520 2082459956992 2093362888704 2098857279488 2256390021120 2603074946240 2616703610880 2623571599360 2640900341760 3008520028160 3123689935488 3148285919232 3488938147840 3904612419360 3935357399040 4164919913984 4186725777408 4512780042240 5206149892480 5233407221760 5247143198720 5281800683520 6247379870976 6296571838464 6977876295680 7809224838720 7870714798080 8329839827968 9025560084480 10412299784960 10466814443520 10494286397440 12494759741952 15618449677440 15741429596160 16659679655936 20824599569920 20933628887040 24989519483904 31236899354880 31482859192320 33319359311872 41649199139840 49979038967808 62473798709760 66638718623744 83298398279680 99958077935616 124947597419520 133277437247488 166596796559360 199916155871232 249895194839040 266554874494976 333193593118720 399832311742464 499790389678080 666387186237440 799664623484928 999580779356160 1332774372474880 1999161558712320 3998323117424640
- Sum of all divisors σ(n): 13009119994183680
- Sum of proper divisors (its aliquot sum) s(n): 9010796876759040
- 3998323117424640 is an abundant number, because the sum of its proper divisors (9010796876759040) is greater than itself. Its abundance is 5012473759334400
Bases of 3998323117424640
- Binary: 11100011010001110100001001010001110010000000000000002
- Hexadecimal: 0xE3474251C8000
- Base-36: 13DACA6GYDC
Squares and roots of 3998323117424640
- 3998323117424640 squared (39983231174246402) is 15986587751332291545986079129600
- 3998323117424640 cubed (39983231174246403) is 63919543374889493459625553026158447604793344000
-
The
square root of 3998323117424640 is 63232294.8929155979 -
The
cube root of 3998323117424640 is 158717.9197199599
Scales and comparisons
How big is 3998323117424640?- 3,998,323,117,424,640 seconds is equal to 127,134,307 years, 26 weeks, 3 days, 3 hours, 44 minutes.
-
To count from 1 to 3,998,323,117,424,640 would take you about three hundred eighty-one million, four hundred two thousand, nine hundred twenty-two 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 3998323117424640 cubic inches would be around 13226.5 feet tall.
Recreational maths with 3998323117424640
- 3998323117424640 backwards is 0464247113238993
- The number of decimal digits it has is: 16
- The sum of 3998323117424640's digits is 66
- More coming soon!
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The information we have on file for 3998323117424640 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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