398144118980608
398,144,118,980,608 is an even composite number composed of five prime numbers multiplied together.
What does the number 398144118980608 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
398144118980608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 398144118980608:
219 × 7 × 11 × 133 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 13 × 13 × 67 × 67)See below for interesting mathematical facts about the number 398144118980608 from the Numbermatics database.
Names of 398144118980608
- Cardinal: 398144118980608 can be written as Three hundred ninety-eight trillion, one hundred forty-four billion, one hundred eighteen million, nine hundred eighty thousand, six hundred eight.
Scientific notation
- Scientific notation: 3.98144118980608 × 1014
Factors of 398144118980608
Divisors of 398144118980608
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 67 77 88 91 104 112 128 134 143 154 169 176 182 208 224 256 268 286 308 338 352 364 416 448 469 512 536 572 616 676 704 728 737 832 871 896 938 1001 1024 1072 1144 1183 1232 1352 1408 1456 1474 1664 1742 1792 1859 1876 2002 2048 2144 2197 2288 2366 2464 2704 2816 2912 2948 3328 3484 3584 3718 3752 4004 4096 4288 4394 4489 4576 4732 4928 5159 5408 5632 5824 5896 6097 6656 6968 7168 7436 7504 8008 8192 8576 8788 8978 9152 9464 9581 9856 10318 10816 11264 11323 11648 11792 12194 13013 13312 13936 14336 14872 15008 15379 16016 16384 17152 17576 17956 18304 18928 19162 19712 20636 21632 22528 22646 23296 23584 24167 24388 26026 26624 27872 28672 29744 30016 30758 31423 32032 32768 34304 35152 35912 36608 37856 38324 39424 41272 43264 45056 45292 46592 47168 48334 48776 49379 52052 53248 55744 57344 58357 59488 60032 61516 62846 64064 65536 67067 68608 70304 71824 73216 75712 76648 78848 79261 82544 86528 90112 90584 93184 94336 96668 97552 98758 104104 106496 111488 114688 116714 118976 120064 123032 124553 125692 128128 131072 134134 137216 140608 143648 146432 147199 151424 153296 157696 158522 165088 169169 173056 180224 181168 186368 188672 193336 195104 197516 208208 212992 222976 229376 233428 237952 240128 246064 249106 251384 256256 262144 268268 274432 281216 287296 292864 294398 302848 306592 315392 317044 330176 338338 345653 346112 360448 362336 372736 377344 386672 390208 395032 408499 416416 425984 445952 458752 466856 475904 480256 492128 498212 502768 512512 524288 536536 548864 562432 574592 585728 588796 605696 613184 630784 634088 641927 660352 676676 691306 692224 720896 724672 745472 754688 758641 773344 780416 790064 816998 832832 851968 871871 891904 917504 933712 951808 960512 984256 996424 1005536 1025024 1030393 1073072 1097728 1124864 1149184 1171456 1177592 1211392 1226368 1261568 1268176 1283854 1320704 1353352 1382612 1384448 1441792 1449344 1490944 1509376 1517282 1546688 1560832 1580128 1619189 1633996 1665664 1703936 1743742 1783808 1835008 1867424 1903616 1921024 1968512 1992848 2011072 2050048 2060786 2146144 2195456 2249728 2298368 2342912 2355184 2422784 2452736 2523136 2536352 2567708 2641408 2706704 2765224 2768896 2883584 2898688 2981888 3018752 3034564 3093376 3121664 3160256 3238378 3267992 3331328 3407872 3487484 3567616 3670016 3734848 3807232 3842048 3937024 3985696 4022144 4100096 4121572 4292288 4390912 4493489 4499456 4596736 4685824 4710368 4845568 4905472 5046272 5072704 5135416 5282816 5310487 5413408 5530448 5537792 5767168 5797376 5963776 6037504 6069128 6186752 6243328 6320512 6476756 6535984 6662656 6815744 6974968 7135232 7469696 7614464 7684096 7874048 7971392 8044288 8200192 8243144 8345051 8584576 8781824 8986978 8998912 9193472 9371648 9420736 9691136 9810944 9862333 10092544 10145408 10270832 10565632 10620974 10826816 11060896 11075584 11334323 11594752 11927552 12075008 12138256 12373504 12486656 12641024 12953512 13071968 13325312 13949936 14270464 14939392 15228928 15368192 15748096 15942784 16088576 16400384 16486288 16690102 17169152 17563648 17973956 17997824 18386944 18743296 18841472 19382272 19621888 19724666 20185088 20290816 20541664 21131264 21241948 21653632 22121792 22151168 22668646 23189504 23855104 24150016 24276512 24747008 24973312 25282048 25907024 26143936 26650624 27899872 28540928 29878784 30457856 30736384 31496192 31885568 32177152 32800768 32972576 33380204 34338304 35127296 35947912 35995648 36773888 37486592 37682944 38764544 39243776 39449332 40370176 40581632 41083328 42262528 42483896 43307264 44243584 44302336 45337292 46379008 47710208 48300032 48553024 49494016 49946624 50564096 51814048 52287872 53301248 55799744 57081856 58415357 59757568 60915712 61472768 62992384 63771136 64354304 65601536 65945152 66760408 68676608 69036331 71895824 71991296 73547776 74973184 75365888 77529088 78487552 78898664 81163264 82166656 84525056 84967792 86614528 88487168 88604672 90674584 92758016 96600064 97106048 98988032 99893248 101128192 103628096 104575744 106602496 108485663 111599488 114163712 116830714 119515136 121831424 122945536 125984768 127542272 128708608 131203072 131890304 133520816 137353216 138072662 143791648 143982592 147095552 150731776 155058176 156975104 157797328 162326528 164333312 169050112 169935584 173229056 176974336 181349168 185516032 193200128 194212096 197976064 199786496 202256384 207256192 209151488 213204992 216971326 223198976 228327424 233661428 239030272 243662848 245891072 251969536 255084544 257417216 262406144 263780608 267041632 274706432 276145324 287583296 287965184 294191104 301463552 310116352 313950208 315594656 324653056 328666624 338100224 339871168 346458112 353948672 362698336 371032064 386400256 388424192 395952128 399572992 404512768 414512384 418302976 426409984 433942652 446397952 456654848 467322856 478060544 487325696 503939072 510169088 514834432 524812288 527561216 534083264 549412864 552290648 575166592 575930368 588382208 602927104 620232704 627900416 631189312 649306112 657333248 676200448 679742336 692916224 707897344 725396672 742064128 759399641 776848384 791904256 799145984 809025536 829024768 836605952 852819968 867885304 892795904 934645712 956121088 974651392 1007878144 1020338176 1029668864 1055122432 1068166528 1098825728 1104581296 1150333184 1151860736 1176764416 1205854208 1255800832 1262378624 1298612224 1314666496 1352400896 1359484672 1385832448 1415794688 1450793344 1484128256 1518799282 1553696768 1583808512 1598291968 1618051072 1658049536 1673211904 1705639936 1735770608 1785591808 1869291424 1912242176 2015756288 2040676352 2059337728 2110244864 2136333056 2197651456 2209162592 2300666368 2353528832 2411708416 2511601664 2524757248 2597224448 2629332992 2704801792 2718969344 2771664896 2831589376 2901586688 2968256512 3037598564 3107393536 3167617024 3196583936 3236102144 3316099072 3346423808 3411279872 3471541216 3571183616 3738582848 3824484352 4031512576 4081352704 4118675456 4220489728 4272666112 4395302912 4418325184 4601332736 4823416832 5023203328 5049514496 5194448896 5258665984 5437938688 5543329792 5663178752 5803173376 5936513024 6075197128 6214787072 6335234048 6472204288 6632198144 6692847616 6822559744 6943082432 7142367232 7477165696 7648968704 8063025152 8162705408 8237350912 8440979456 8545332224 8790605824 8836650368 9202665472 9646833664 10099028992 10388897792 10517331968 10875877376 11086659584 11326357504 11606346752 12150394256 12429574144 12670468096 12944408576 13264396288 13385695232 13886164864 14284734464 14954331392 15297937408 16325410816 16474701824 16881958912 17090664448 17581211648 17673300736 18405330944 19293667328 20198057984 20777795584 21034663936 21751754752 22173319168 22652715008 23212693504 24300788512 24859148288 25888817152 26528792576 26771390464 27772329728 28569468928 29908662784 30595874816 32650821632 33763917824 34181328896 35162423296 35346601472 36810661888 38587334656 40396115968 41555591168 42069327872 43503509504 44346638336 45305430016 46425387008 48601577024 49718296576 53057585152 53542780928 55544659456 57138937856 59817325568 65301643264 67527835648 68362657792 70693202944 73621323776 77174669312 80792231936 84138655744 87007019008 88693276672 90610860032 92850774016 97203154048 99436593152 106115170304 107085561856 111089318912 114277875712 119634651136 135055671296 136725315584 141386405888 147242647552 161584463872 168277311488 174014038016 181221720064 185701548032 194406308096 198873186304 212230340608 214171123712 222178637824 228555751424 239269302272 270111342592 273450631168 282772811776 294485295104 323168927744 336554622976 348028076032 371403096064 388812616192 397746372608 424460681216 444357275648 457111502848 478538604544 540222685184 546901262336 565545623552 588970590208 646337855488 696056152064 742806192128 777625232384 848921362432 888714551296 957077209088 1093802524672 1131091247104 1177941180416 1292675710976 1392112304128 1485612384256 1555250464768 1777429102592 1914154418176 2187605049344 2262182494208 2355882360832 2585351421952 2784224608256 2971224768512 3110500929536 3554858205184 3828308836352 4375210098688 4524364988416 5170702843904 5942449537024 6221001859072 7109716410368 7656617672704 9048729976832 12442003718144 14219432820736 15313235345408 18097459953664 24884007436288 28438865641472 30626470690816 36194919907328 49768014872576 56877731282944 99536029745152 199072059490304 398144118980608
- Sum of all divisors σ(n): 1091758841712000
- Sum of proper divisors (its aliquot sum) s(n): 693614722731392
- 398144118980608 is an abundant number, because the sum of its proper divisors (693614722731392) is greater than itself. Its abundance is 295470603750784
Bases of 398144118980608
- Binary: 10110101000011100001001101100100000000000000000002
- Hexadecimal: 0x16A1C26C80000
- Base-36: 3X4OVSNX8G
Squares and roots of 398144118980608
- 398144118980608 squared (3981441189806082) is 158518739478844539489080049664
- 398144118980608 cubed (3981441189806083) is 63113303871721082916866733184177285692915712
-
The
square root of 398144118980608 is 19953549.0322049727 -
The
cube root of 398144118980608 is 73566.5012136791
Scales and comparisons
How big is 398144118980608?- 398,144,118,980,608 seconds is equal to 12,659,751 years, 23 weeks, 5 hours, 43 minutes, 28 seconds.
-
To count from 1 to 398,144,118,980,608 would take you about thirty-one million, six hundred forty-nine thousand, three hundred seventy-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 398144118980608 cubic inches would be around 6130.5 feet tall.
Recreational maths with 398144118980608
- 398144118980608 backwards is 806089811441893
- The number of decimal digits it has is: 15
- The sum of 398144118980608's digits is 70
- More coming soon!
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The information we have on file for 398144118980608 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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