997931745410162432
997,931,745,410,162,432 is an even composite number composed of four prime numbers multiplied together.
What does the number 997931745410162432 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 756 divisors.
997931745410162432 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 997931745410162432:
28 × 192 × 233 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 19 × 19 × 23 × 23 × 23 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 997931745410162432 from the Numbermatics database.
Names of 997931745410162432
- Cardinal: 997931745410162432 can be written as Nine hundred ninety-seven quadrillion, nine hundred thirty-one trillion, seven hundred forty-five billion, four hundred ten million, one hundred sixty-two thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 9.97931745410162432 × 1017
Factors of 997931745410162432
Divisors of 997931745410162432
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 8 16 19 23 31 32 38 46 62 64 76 92 124 128 152 184 248 256 304 361 368 437 496 529 589 608 713 722 736 874 961 992 1058 1178 1216 1426 1444 1472 1748 1922 1984 2116 2356 2432 2852 2888 2944 3496 3844 3968 4232 4712 4864 5704 5776 5888 6992 7688 7936 8303 8464 9424 10051 11191 11408 11552 12167 13547 13984 15376 16399 16606 16928 18259 18848 20102 22103 22382 22816 23104 24334 27094 27968 29791 30752 32798 33212 33856 36518 37696 40204 44206 44764 45632 46208 48668 54188 55936 59582 61504 65596 66424 67712 73036 75392 80408 88412 89528 91264 92416 97336 108376 111872 119164 123008 131192 132848 135424 146072 150784 160816 176824 179056 182528 190969 194672 216752 231173 238328 246016 257393 262384 265696 292144 311581 321632 346921 353648 358112 377177 381938 389344 419957 433504 462346 476656 508369 514786 524768 531392 566029 584288 623162 643264 685193 693842 707296 716224 754354 763876 778688 839914 867008 923521 924692 953312 1016738 1029572 1049536 1062784 1132058 1168576 1246324 1286528 1370386 1387684 1414592 1432448 1508708 1527752 1557376 1679828 1734016 1847042 1849384 1906624 2033476 2059144 2099072 2125568 2264116 2337152 2492648 2573056 2740772 2775368 2829184 2864896 3017416 3055504 3114752 3359656 3468032 3694084 3698768 3813248 4066952 4118288 4198144 4392287 4528232 4674304 4985296 5481544 5550736 5658368 5920039 6034832 6111008 6719312 7166363 7388168 7397536 7626496 7979183 8133904 8236576 8784574 9056464 9659011 9970592 10754551 10963088 11101472 11692487 11840078 12069664 12222016 13018667 13438624 14332726 14776336 14795072 15759439 15958366 16267808 16473152 17546899 17569148 18112928 19318022 19941184 21240983 21509102 21926176 22202944 23384974 23680156 24139328 24444032 26037334 26877248 28629151 28665452 29552672 29590144 31518878 31916732 32535616 32946304 35093798 35138296 36225856 38636044 39882368 42481966 43018204 43852352 44405888 46769948 47360312 48278656 48888064 52074668 53754496 57258302 57330904 59105344 59180288 63037756 63833464 65071232 65892608 70187596 70276592 72451712 77272088 79764736 84963932 86036408 87704704 88811776 93539896 94720624 96557312 104149336 107508992 114516604 114661808 118210688 126075512 127666928 130142464 136160897 140375192 140553184 144903424 154544176 169927864 172072816 175409408 183521209 187079792 189441248 208298672 222157253 229033208 229323616 236421376 247354673 252151024 255333856 272321794 280750384 281106368 299429341 309088352 333391081 339855728 344145632 362467097 367042418 374159584 378882496 403578677 416597344 444314506 458066416 458647232 488542609 494709346 504302048 510667712 543953869 544643588 561500768 562212736 598858682 618176704 658470473 666782162 679711456 688291264 724934194 734084836 748319168 757764992 807157354 833194688 887503681 888629012 916132832 917294464 977085218 989418692 1008604096 1021335424 1087907738 1089287176 1123001536 1124425472 1197717364 1236353408 1316940946 1333564324 1359422912 1376582528 1449868388 1468169672 1496638336 1515529984 1614314708 1666389376 1775007362 1777258024 1832265664 1834588928 1954170436 1978837384 2017208192 2042670848 2175815476 2178574352 2246003072 2395434728 2472706816 2633881892 2667128648 2718845824 2753165056 2899736776 2936339344 2993276672 3228629416 3332778752 3550014724 3554516048 3664531328 3908340872 3957674768 4034416384 4220987807 4351630952 4357148704 4492006144 4790869456 5267763784 5334257296 5437691648 5689157479 5799473552 5872678688 6457258832 6886874843 7100029448 7109032096 7329062656 7667994863 7816681744 7915349536 8441975614 8703261904 8714297408 9282309571 9581738912 10335123511 10535527568 10668514592 11236480007 11378314958 11598947104 11745357376 12510938987 12914517664 13773749686 14200058896 14218064192 15144820879 15335989726 15633363488 15830699072 16862569939 16883951228 17406523808 17428594816 18564619142 19163477824 20412584663 20670247022 21071055136 21337029184 22472960014 22756629916 23197894208 23490714752 25021877974 25829035328 27547499372 28400117792 28436128384 30289641758 30671979452 31266726976 31661398144 33725139878 33767902456 34813047616 34857189632 37129238284 38326955648 40825169326 41340494044 42142110272 42674058368 44945920028 45513259832 46395788416 46981429504 50043755948 51658070656 55094998744 56800235584 56872256768 60579283516 61343958904 62533453952 63322796288 67450279756 67535804912 69626095232 74258476568 76653911296 81650338652 82680988088 84284220544 85348116736 89891840056 91026519664 92791576832 100087511896 103316141312 110189997488 113600471168 121158567032 122687917808 125066907904 130850622017 134900559512 135071609824 139252190464 148516953136 163300677304 165361976176 168568441088 176363881849 179783680112 182053039328 200175023792 213493120133 220379994976 227200942336 237707840753 242317134064 245375835616 261701244034 269801119024 270143219648 287751596701 297033906272 320388828841 326601354608 330723952352 348330880217 352727763698 359567360224 364106078656 387839108597 400350047584 426986240266 440759989952 469489447249 475415681506 484634268128 490751671232 523402488068 539602238048 540286439296 575503193402 594067812544 640777657682 653202709216 661447904704 696661760434 705455527396 719134720448 728212157312 775678217194 800700095168 853972480532 881519979904 938978894498 950831363012 969268536256 981503342464 1046804976136 1079204476096 1080572878592 1151006386804 1188135625088 1281555315364 1306405418432 1322895809408 1393323520868 1410911054792 1438269440896 1456424314624 1551356434388 1601400190336 1707944961064 1763039959808 1877957788996 1901662726024 1938537072512 1963006684928 2093609952272 2158408952192 2302012773608 2376271250176 2563110630728 2612810836864 2645791618816 2786647041736 2821822109584 2876538881792 3102712868776 3202800380672 3415889922128 3755915577992 3803325452048 3877074145024 4056369282527 4187219904544 4316817904384 4604025547216 5126221261456 5225621673728 5467280337319 5573294083472 5643644219168 6205425737552 6618286724123 6831779844256 7368943063343 7511831155984 7606650904096 8112738565054 8374439809088 8920299497731 9208051094432 10252442522912 10798257286727 10934560674638 11146588166944 11287288438336 12410851475104 13236573448246 13663559688512 14737886126686 15023662311968 15213301808192 16225477130108 16748879618176 17840598995462 18416102188864 20504885045824 21596514573454 21869121349276 22293176333888 22574576876672 24821702950208 26473146896492 27327119377024 29475772253372 30047324623936 30426603616384 32450954260216 33497759236352 35681197990924 36832204377728 41009770091648 43193029146908 43738242698552 44586352667776 45149153753344 49643405900416 52946293792984 54654238754048 58951544506744 60094649247872 60853207232768 64901908520432 71362395981848 73664408755456 82019540183296 86386058293816 87476485397104 89172705335552 99286811800832 105892587585968 117903089013488 120189298495744 125747447758337 129803817040864 142724791963696 169485690456889 172772116587632 174952970794208 205166888447813 211785175171936 235806178026976 251494895516674 259607634081728 285449583927392 338971380913778 345544233175264 349905941588416 410333776895626 423570350343872 471612356053952 502989791033348 519215268163456 570899167854784 677942761827556 691088466350528 699811883176832 820667553791252 847140700687744 943224712107904 1005979582066696 1038430536326912 1141798335709568 1355885523655112 1382176932701056 1399623766353664 1641335107582504 1694281401375488 1886449424215808 2011959164133392 2283596671419136 2711771047310224 2764353865402112 3282670215165008 3898170880508447 4023918328266784 5423542094620448 6565340430330016 7796341761016894 8047836656533568 10847084189240896 13130680860660032 15592683522033788 16095673313067136 21694168378481792 26261361721320064 31185367044067576 32191346626134272 43388336756963584 52522723442640128 62370734088135152 124741468176270304 249482936352540608 498965872705081216 997931745410162432
- Sum of all divisors σ(n): 2271138341964564240
- Sum of proper divisors (its aliquot sum) s(n): 1273206596554401808
- 997931745410162432 is an abundant number, because the sum of its proper divisors (1273206596554401808) is greater than itself. Its abundance is 275274851144239376
Bases of 997931745410162432
- Binary: 1101110110010101110110100010100110110100001000011111000000002
- Hexadecimal: 0xDD95DA29B421F00
- Base-36: 7KY1A2YF37CW
Squares and roots of 997931745410162432
- 997931745410162432 squared (9979317454101624322) is 995867768497373248166640900624154624
- 997931745410162432 cubed (9979317454101624323) is 993808060414307259336549601828003186148812458523885568
-
The
square root of 997931745410162432 is 998965337.4417765213 -
The
cube root of 997931745410162432 is 999310.1059590523 - Being both a perfect square and a perfect cube, 997931745410162432 is also a
perfect sixth number .
Scales and comparisons
How big is 997931745410162432?- 997,931,745,410,162,432 seconds is equal to 31,731,142,698 years, 25 weeks, 6 hours, 32 seconds.
-
To count from 1 to 997,931,745,410,162,432 would take you about ninety-five billion, one hundred ninety-three million, four hundred twenty-eight thousand and ninety-five 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 997931745410162432 cubic inches would be around 83275.8 feet tall.
Recreational maths with 997931745410162432
- 997931745410162432 backwards is 234261014547139799
- The number of decimal digits it has is: 18
- The sum of 997931745410162432's digits is 77
- More coming soon!
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The information we have on file for 997931745410162432 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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