3390040728758688000
3,390,040,728,758,688,000 is an even composite number composed of six prime numbers multiplied together.
3390040728758688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 3390040728758688000:
28 × 3 × 53 × 71 × 193 × 2577021401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 71 × 193 × 2577021401)See below for interesting mathematical facts about the number 3390040728758688000 from the Numbermatics database.
Names of 3390040728758688000
- Cardinal: 3390040728758688000 can be written as Three quintillion, three hundred ninety quadrillion, forty trillion, seven hundred twenty-eight billion, seven hundred fifty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 3.390040728758688 × 1018
Factors of 3390040728758688000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2577021675
Divisors of 3390040728758688000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 125 128 142 150 160 192 193 200 213 240 250 256 284 300 320 355 375 384 386 400 426 480 500 568 579 600 640 710 750 768 772 800 852 960 965 1000 1065 1136 1158 1200 1280 1420 1500 1544 1600 1704 1775 1920 1930 2000 2130 2272 2316 2400 2840 2895 3000 3088 3200 3408 3550 3840 3860 4000 4260 4544 4632 4800 4825 5325 5680 5790 6000 6176 6400 6816 7100 7720 8000 8520 8875 9088 9264 9600 9650 10650 11360 11580 12000 12352 13632 13703 14200 14475 15440 16000 17040 17750 18176 18528 19200 19300 21300 22720 23160 24000 24125 24704 26625 27264 27406 28400 28950 30880 32000 34080 35500 37056 38600 41109 42600 45440 46320 48000 48250 49408 53250 54528 54812 56800 57900 61760 68160 68515 71000 72375 74112 77200 82218 85200 90880 92640 96000 96500 106500 109624 113600 115800 123520 136320 137030 142000 144750 148224 154400 164436 170400 185280 193000 205545 213000 219248 227200 231600 247040 272640 274060 284000 289500 308800 328872 340800 342575 370560 386000 411090 426000 438496 454400 463200 548120 568000 579000 617600 657744 681600 685150 741120 772000 822180 852000 876992 926400 1027725 1096240 1136000 1158000 1235200 1315488 1363200 1370300 1544000 1644360 1704000 1712875 1753984 1852800 2055450 2192480 2272000 2316000 2630976 2740600 3088000 3288720 3408000 3425750 3507968 3705600 4110900 4384960 4632000 5138625 5261952 5481200 6176000 6577440 6816000 6851500 8221800 8769920 9264000 10277250 10523904 10962400 13154880 13703000 16443600 17539840 18528000 20554500 21924800 26309760 27406000 32887200 41109000 43849600 52619520 54812000 65774400 82218000 87699200 109624000 131548800 164436000 219248000 263097600 328872000 438496000 657744000 1315488000 2577021401 5154042802 7731064203 10308085604 12885107005 15462128406 20616171208 25770214010 30924256812 38655321015 41232342416 51540428020 61848513624 64425535025 77310642030 82464684832 103080856040 123697027248 128851070050 154621284060 164929369664 182968519471 193276605075 206161712080 247394054496 257702140100 309242568120 322127675125 329858739328 365937038942 386553210150 412323424160 494788108992 497365130393 515404280200 548905558413 618485136240 644255350250 659717478656 731874077884 773106420300 824646848320 914842597355 966383025375 989576217984 994730260786 1030808560400 1097811116826 1236970272480 1288510700500 1463748155768 1492095391179 1546212840600 1649293696640 1829685194710 1932766050750 1979152435968 1989460521572 2061617120800 2195622233652 2473940544960 2486825651965 2577021401000 2744527792065 2927496311536 2984190782358 3092425681200 3298587393280 3659370389420 3865532101500 3978921043144 4123234241600 4391244467304 4574212986775 4947881089920 4973651303930 5154042802000 5489055584130 5854992623072 5968381564716 6184851362400 7318740778840 7460476955895 7731064203000 7957842086288 8246468483200 8782488934608 9148425973550 9895762179840 9947302607860 10308085604000 10978111168260 11709985246144 11936763129432 12369702724800 12434128259825 13722638960325 14637481557680 14920953911790 15462128406000 15915684172576 16492936966400 17564977869216 18296851947100 19894605215720 20616171208000 21956222336520 22871064933875 23419970492288 23873526258864 24739405449600 24868256519650 27445277920650 29274963115360 29841907823580 30924256812000 31831368345152 35129955738432 35312924257903 36593703894200 37302384779475 39789210431440 41232342416000 43912444673040 45742129867750 46839940984576 47747052517728 49478810899200 49736513039300 54890555841300 58549926230720 59683815647160 61848513624000 62170641299125 63662736690304 68613194801625 70259911476864 70625848515806 73187407788400 74604769558950 79578420862880 82464684832000 87824889346080 91484259735500 95494105035456 99473026078600 105938772773709 109781111682600 117099852461440 119367631294320 123697027248000 124341282598250 127325473380608 137226389603250 140519822953728 141251697031612 146374815576800 149209539117900 159156841725760 175649778692160 176564621289515 182968519471000 186511923897375 190988210070912 198946052157200 211877545547418 219562223365200 234199704922880 238735262588640 247394054496000 248682565196500 274452779206500 282503394063224 292749631153600 298419078235800 318313683451520 351299557384320 353129242579030 365937038942000 373023847794750 381976420141824 397892104314400 423755091094836 439124446730400 477470525177280 497365130393000 529693863868545 548905558413000 565006788126448 585499262307200 596838156471600 636627366903040 702599114768640 706258485158060 731874077884000 746047695589500 795784208628800 847510182189672 878248893460800 882823106447575 954941050354560 994730260786000 1059387727737090 1097811116826000 1130013576252896 1170998524614400 1193676312943200 1412516970316120 1463748155768000 1492095391179000 1591568417257600 1695020364379344 1756497786921600 1765646212895150 1909882100709120 1989460521572000 2118775455474180 2195622233652000 2260027152505792 2387352625886400 2648469319342725 2825033940632240 2927496311536000 2984190782358000 3183136834515200 3390040728758688 3512995573843200 3531292425790300 3978921043144000 4237550910948360 4391244467304000 4414115532237875 4520054305011584 4774705251772800 5296938638685450 5650067881264480 5854992623072000 5968381564716000 6780081457517376 7062584851580600 7957842086288000 8475101821896720 8782488934608000 8828231064475750 9040108610023168 9549410503545600 10593877277370900 11300135762528960 11936763129432000 13242346596713625 13560162915034752 14125169703161200 15915684172576000 16950203643793440 17564977869216000 17656462128951500 21187754554741800 22600271525057920 23873526258864000 26484693193427250 27120325830069504 28250339406322400 33900407287586880 35312924257903000 42375509109483600 45200543050115840 47747052517728000 52969386386854500 56500678812644800 67800814575173760 70625848515806000 84751018218967200 105938772773709000 113001357625289600 135601629150347520 141251697031612000 169502036437934400 211877545547418000 226002715250579200 282503394063224000 339004072875868800 423755091094836000 565006788126448000 678008145751737600 847510182189672000 1130013576252896000 1695020364379344000 3390040728758688000
- Sum of all divisors σ(n): 11477775913308117504
- Sum of proper divisors (its aliquot sum) s(n): 8087735184549429504
- 3390040728758688000 is an abundant number, because the sum of its proper divisors (8087735184549429504) is greater than itself. Its abundance is 4697694455790741504
Bases of 3390040728758688000
- Binary: 101111000010111101100000010100111000111100010010011001000000002
- Hexadecimal: 0x2F0BD814E3C49900
- Base-36: PR7P57594A2O
Squares and roots of 3390040728758688000
- 3390040728758688000 squared (33900407287586880002) is 11492376142642736424265335481344000000
- 3390040728758688000 cubed (33900407287586880003) is 38959623193773541902537907172592663024101916672000000000
-
The
square root of 3390040728758688000 is 1841206324.3316018981 -
The
cube root of 3390040728758688000 is 1502224.9541998321
Scales and comparisons
How big is 3390040728758688000?- 3,390,040,728,758,688,000 seconds is equal to 107,792,809,090 years, 3 weeks, 2 hours, 40 minutes.
-
To count from 1 to 3,390,040,728,758,688,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3390040728758688000 cubic inches would be around 125185.4 feet tall.
Recreational maths with 3390040728758688000
- 3390040728758688000 backwards is 0008868578270400933
- The number of decimal digits it has is: 19
- The sum of 3390040728758688000's digits is 78
- More coming soon!
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The information we have on file for 3390040728758688000 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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