331380490079044198400
331,380,490,079,044,198,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 331380490079044198400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
331380490079044198400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 331380490079044198400:
213 × 52 × 61 × 193 × 223 × 616318177
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 61 × 193 × 223 × 616318177)See below for interesting mathematical facts about the number 331380490079044198400 from the Numbermatics database.
Names of 331380490079044198400
- Cardinal: 331380490079044198400 can be written as Three hundred thirty-one quintillion, three hundred eighty quadrillion, four hundred ninety trillion, seventy-nine billion, forty-four million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.313804900790441984 × 1020
Factors of 331380490079044198400
Divisors of 331380490079044198400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 193 200 223 244 256 305 320 386 400 446 488 512 610 640 772 800 892 965 976 1024 1115 1220 1280 1525 1544 1600 1784 1930 1952 2048 2230 2440 2560 3050 3088 3200 3568 3860 3904 4096 4460 4825 4880 5120 5575 6100 6176 6400 7136 7720 7808 8192 8920 9650 9760 10240 11150 11773 12200 12352 12800 13603 14272 15440 15616 17840 19300 19520 20480 22300 23546 24400 24704 25600 27206 28544 30880 31232 35680 38600 39040 40960 43039 44600 47092 48800 49408 51200 54412 57088 58865 61760 62464 68015 71360 77200 78080 86078 89200 94184 97600 98816 102400 108824 114176 117730 123520 124928 136030 142720 154400 156160 172156 178400 188368 195200 197632 204800 215195 217648 228352 235460 247040 249856 272060 285440 294325 308800 312320 340075 344312 356800 376736 390400 395264 430390 435296 456704 470920 494080 499712 544120 570880 588650 617600 624640 680150 688624 713600 753472 780800 790528 860780 870592 913408 941840 988160 1075975 1088240 1141760 1177300 1235200 1249280 1360300 1377248 1427200 1506944 1561600 1581056 1721560 1741184 1826816 1883680 1976320 2151950 2176480 2283520 2354600 2470400 2498560 2625379 2720600 2754496 2854400 3013888 3123200 3443120 3482368 3767360 3952640 4303900 4352960 4567040 4709200 4940800 5250758 5441200 5508992 5708800 6027776 6246400 6886240 6964736 7534720 7905280 8607800 8705920 9134080 9418400 9881600 10501516 10882400 11017984 11417600 12055552 12492800 13126895 13772480 13929472 15069440 17215600 17411840 18836800 19763200 21003032 21764800 22035968 22835200 24111104 26253790 27544960 27858944 30138880 34431200 34823680 37673600 39526400 42006064 43529600 44071936 45670400 48222208 52507580 55089920 55717888 60277760 65634475 68862400 69647360 75347200 84012128 87059200 88143872 96444416 105015160 110179840 111435776 120555520 131268950 137724800 139294720 150694400 168024256 174118400 176287744 210030320 220359680 241111040 262537900 275449600 278589440 301388800 336048512 348236800 352575488 420060640 440719360 482222080 525075800 550899200 557178880 602777600 616318177 672097024 696473600 840121280 881438720 1050151600 1101798400 1205555200 1232636354 1344194048 1392947200 1680242560 1762877440 2100303200 2203596800 2411110400 2465272708 2688388096 2785894400 3081590885 3360485120 4200606400 4407193600 4930545416 5376776192 6163181770 6720970240 8401212800 8814387200 9861090832 10753552384 12326363540 13441940480 15407954425 16802425600 19722181664 21507104768 24652727080 26883880960 30815908850 33604851200 37595408797 39444363328 49305454160 53767761920 61631817700 67209702400 75190817594 78888726656 98610908320 107535523840 118949408161 123263635400 134419404800 137438953471 150381635188 157777453312 187977043985 197221816640 237898816322 246527270800 268838809600 274877906942 300763270376 315554906624 375954087970 394443633280 475797632644 493054541600 537677619200 549755813884 594747040805 601526540752 631109813248 687194767355 751908175940 788887266560 939885219925 951595265288 986109083200 1099511627768 1189494081610 1203053081504 1262219626496 1374389534710 1503816351880 1577774533120 1879770439850 1903190530576 1972218166400 2199023255536 2378988163220 2406106163008 2524439252992 2748779069420 2973735204025 3007632703760 3155549066240 3435973836775 3759540879700 3806381061152 3944436332800 4398046511072 4757976326440 4812212326016 5048878505984 5497558138840 5947470408050 6015265407520 6311098132480 6871947673550 7255913897821 7519081759400 7612762122304 7888872665600 8383776161731 8796093022144 9515952652880 9624424652032 10995116277680 11894940816100 12030530815040 12622196264960 13743895347100 14511827795642 15038163518800 15225524244608 15777745331200 16767552323462 17592186044288 19031905305760 19248849304064 21990232555360 23789881632200 24061061630080 25244392529920 26525718019903 27487790694200 29023655591284 30076327037600 30451048489216 31555490662400 33535104646924 35184372088576 36279569489105 38063810611520 38497698608128 41918880808655 43980465110720 47579763264400 48122123260160 53051436039806 54975581388400 58047311182568 60152654075200 60902096978432 63110981324800 67070209293848 70368744177152 72559138978210 76127621223040 76995397216256 83837761617310 87960930221440 95159526528800 96244246520320 106102872079612 109951162776800 116094622365136 120305308150400 121804193956864 126221962649600 132628590099515 134140418587696 140737488354304 145118277956420 152255242446080 153990794432512 167675523234620 175921860442880 181397847445525 190319053057600 192488493040640 209594404043275 212205744159224 219902325553600 232189244730272 240610616300800 243608387913728 265257180199030 268280837175392 281474976708608 290236555912840 304510484892160 307981588865024 335351046469240 351843720885760 362795694891050 380638106115200 384976986081280 419188808086550 424411488318448 439804651107200 464378489460544 481221232601600 487216775827456 530514360398060 536561674350784 562949953417216 580473111825680 609020969784320 663142950497575 670702092938480 703687441771520 725591389782100 761276212230400 769953972162560 838377616173100 848822976636896 879609302214400 928756978921088 962442465203200 974433551654912 1061028720796120 1073123348701568 1125899906834432 1160946223651360 1218041939568640 1326285900995150 1341404185876960 1407374883543040 1451182779564200 1522552424460800 1539907944325120 1618068799214083 1676755232346200 1697645953273792 1759218604428800 1857513957842176 1924884930406400 2122057441592240 2146246697403136 2321892447302720 2436083879137280 2652571801990300 2682808371753920 2814749767086080 2902365559128400 3045104848921600 3236137598428166 3353510464692400 3395291906547584 3518437208857600 3715027915684352 3849769860812800 4244114883184480 4292493394806272 4643784894605440 4872167758274560 5305143603980600 5365616743507840 5629499534172160 5804731118256800 6090209697843200 6472275196856332 6707020929384800 6790583813095168 7036874417715200 7430055831368704 7699539721625600 8090343996070415 8488229766368960 8584986789612544 9287569789210880 10610287207961200 10731233487015680 11609462236513600 12180419395686400 12944550393712664 13414041858769600 13581167626190336 14073748835430400 14860111662737408 16180687992140830 16976459532737920 17169973579225088 18575139578421760 21220574415922400 21462466974031360 23218924473027200 24360838791372800 25889100787425328 26828083717539200 27162335252380672 28147497670860800 29720223325474816 32361375984281660 33952919065475840 34339947158450176 37150279156843520 40451719980352075 42441148831844800 42924933948062720 46437848946054400 51778201574850656 53656167435078400 54324670504761344 59440446650949632 64722751968563320 67905838130951680 68679894316900352 74300558313687040 80903439960704150 84882297663689600 85849867896125440 92875697892108800 103556403149701312 107312334870156800 108649341009522688 129445503937126640 135811676261903360 148601116627374080 161806879921408300 169764595327379200 171699735792250880 185751395784217600 207112806299402624 214624669740313600 217298682019045376 258891007874253280 271623352523806720 297202233254748160 323613759842816600 339529190654758400 343399471584501760 371502791568435200 414225612598805248 429249339480627200 517782015748506560 543246705047613440 647227519685633200 679058381309516800 743005583136870400 828451225197610496 858498678961254400 1035564031497013120 1086493410095226880 1294455039371266400 1358116762619033600 1486011166273740800 1656902450395220992 1716997357922508800 2071128062994026240 2588910078742532800 2716233525238067200 3313804900790441984 4142256125988052480 5177820157485065600 5432467050476134400 6627609801580883968 8284512251976104960 10355640314970131200 13255219603161767936 16569024503952209920 20711280629940262400 33138049007904419840 41422561259880524800 66276098015808839680 82845122519761049600 165690245039522099200 331380490079044198400
- Sum of all divisors σ(n): 843337748359939623168
- Sum of proper divisors (its aliquot sum) s(n): 511957258280895424768
- 331380490079044198400 is an abundant number, because the sum of its proper divisors (511957258280895424768) is greater than itself. Its abundance is 180576768201851226368
Bases of 331380490079044198400
- Binary: 1000111110110110100111111111111111111011100000100100101100000000000002
- Hexadecimal: 0x11F6D3FFFF70496000
- Base-36: 1XXO8ZVQIDBNCW
Squares and roots of 331380490079044198400
- 331380490079044198400 squared (3313804900790441984002) is 109813029205027510401146417300698562560000
- 331380490079044198400 cubed (3313804900790441984003) is 36389895435026409727599185136456247999994064037587451904000000
-
The
square root of 331380490079044198400 is 18203859208.3943617387 -
The
cube root of 331380490079044198400 is 6920045.9562297403
Scales and comparisons
How big is 331380490079044198400?- 331,380,490,079,044,198,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 331,380,490,079,044,198,400 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 331380490079044198400 cubic inches would be around 576670.5 feet tall.
Recreational maths with 331380490079044198400
- 331380490079044198400 backwards is 004891440970094083133
- The number of decimal digits it has is: 21
- The sum of 331380490079044198400's digits is 77
- More coming soon!
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The information we have on file for 331380490079044198400 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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