40257431228680064

Names of 40257431228680064

• Cardinal: 40257431228680064 can be written as Forty quadrillion, two hundred fifty-seven trillion, four hundred thirty-one billion, two hundred twenty-eight million, six hundred eighty thousand and sixty-four.

Scientific notation

• Scientific notation: 4.0257431228680064 × 10¹⁶

Factors of 40257431228680064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 231

Divisors of 40257431228680064

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 139 166 196 224 278 332 343 392 448 556 581 664 686 784 896 973 1112 1162 1328 1372 1568 1946 2224 2324 2656 2744 3136 3892 4067 4448 4648 5312 5488 6272 6811 6889 7784 8134 8896 9296 10624 10976 11537 13622 13778 15568 16268 17792 18592 19321 21952 23074 27244 27556 28469 31136 32536 37184 38642 43904 46148 47677 48223 54488 55112 56938 62272 65072 74368 77284 80759 92296 95354 96446 108976 110224 113876 124544 130144 135247 154568 161518 184592 190708 192892 217952 220448 227752 260288 270494 309136 323036 337561 369184 381416 385784 435904 440896 455504 520576 540988 565313 571787 618272 646072 675122 738368 762832 771568 871808 881792 911008 946729 957571 1081976 1130626 1143574 1236544 1292144 1350244 1476736 1525664 1543136 1603643 1822016 1893458 1915142 2163952 2261252 2287148 2362927 2473088 2584288 2700488 3051328 3086272 3207286 3644032 3786916 3830284 3957191 4002509 4327904 4522504 4574296 4725854 5168576 5400976 6102656 6172544 6414572 6627103 6702997 7573832 7660568 7914382 8005018 8655808 9045008 9148592 9451708 10337152 10801952 11225501 12829144 13254206 13405994 15147664 15321136 15828764 16010036 17311616 18090016 18297184 18903416 21603904 22451002 25658288 26508412 26811988 28017563 30295328 30642272 31657528 32020072 36180032 36594368 37806832 43207808 44902004 46920979 47458321 51316576 53016824 53623976 56035126 60590656 61284544 63315056 64040144 72360064 73188736 75613664 78578507 79478393 89804008 93841958 94916642 102633152 106033648 107247952 112070252 121181312 122569088 126630112 128080288 133102369 151227328 157157014 158956786 179608016 187683916 189833284 196122941 205266304 212067296 214495904 224140504 253260224 256160576 266204738 302454656 314314028 317913572 328446853 332208247 359216032 375367832 379666568 392245882 424134592 428991808 448281008 506520448 512321152 532409476 550049549 556348751 628628056 635827144 656893706 664416494 718432064 750735664 759333136 784491764 848269184 857983616 896562016 931716583 1064818952 1100099098 1112697502 1257256112 1271654288 1313787412 1328832988 1436864128 1501471328 1518666272 1568983528 1793124032 1863433166 2129637904 2200198196 2225395004 2325457729 2514512224 2543308576 2627574824 2657665976 3002942656 3037332544 3137967056 3586248064 3726866332 3894441257 4259275808 4400396392 4450790008 4650915458 5029024448 5086617152 5255149648 5315331952 6005885312 6074665088 6275934112 6522016081 6596706619 7453732664 7788882514 8518551616 8800792784 8901580016 9301830916 10058048896 10173234304 10510299296 10630663904 11047496627 12551868224 13044032162 13193413238 14907465328 15577765028 16278204103 17037103232 17601585568 17803160032 18603661832 21020598592 21261327808 22094993254 25103736448 26088064324 26386826476 27261088799 29814930656 31155530056 32556408206 35203171136 35606320064 37207323664 42041197184 42522655616 44189986508 45654112567 46176946333 52176128648 52773652952 54522177598 59629861312 62311060112 65112816412 70406342272 71212640128 74414647328 77332476389 88379973016 91308225134 92353892666 104352257296 105547305904 109044355196 119259722624 124622120224 130225632824 148829294656 154664952778 176759946032 182616450268 184707785332 208704514592 211094611808 218088710392 249244240448 260451265648 297658589312 309329905556 323238624331 353519892064 365232900536 369415570664 417409029184 422189223616 436177420784 498488480896 520902531296 541327334723 618659811112 646477248662 707039784128 730465801072 738831141328 834818058368 844378447232 872354841568 916942220041 1041805062592 1082654669446 1237319622224 1292954497324 1414079568256 1460931602144 1477662282656 1744709683136 1833884440082 2083610125184 2165309338892 2262670370317 2474639244448 2585908994648 2921863204288 2955324565312 3489419366272 3667768880164 3789291343061 4330618677784 4525340740634 4949278488896 5171817989296 5843726408576 5910649130624 6418595540287 7335537760328 7578582686122 8661237355568 9050681481268 9898556977792 10343635978592 12837191080574 14671075520656 15157165372244 17322474711136 18101362962536 20687271957184 25674382161148 29342151041312 30314330744488 34644949422272 36202725925072 41374543914368 44930168782009 51348764322296 58684302082624 60628661488976 69289898844544 72405451850144 89860337564018 102697528644592 117368604165248 121257322977952 144810903700288 179720675128036 205395057289184 242514645955904 289621807400576 314511181474063 359441350256072 410790114578368 485029291911808 629022362948126 718882700512144 821580229156736 1258044725896252 1437765401024288 2516089451792504 2875530802048576 5032178903585008 5751061604097152 10064357807170016 20128715614340032 40257431228680064
• Sum of all divisors σ(n): 95354662600782000
• Sum of proper divisors (its aliquot sum) s(n): 55097231372101936
• 40257431228680064 is an abundant number, because the sum of its proper divisors (55097231372101936) is greater than itself. Its abundance is 14839800143421872

Bases of 40257431228680064

• Binary: 10001111000001011110101110011111111101001000011110000000₂
• Hexadecimal: 0x8F05EB9FF48780
• Base-36: B0E2GLDHF28

Squares and roots of 40257431228680064

• 40257431228680064 squared (40257431228680064²) is 1620660769131904847405739671044096
• 40257431228680064 cubed (40257431228680064³) is 65243639458347397700375318757675174619078820102144
• The square root of 40257431228680064 is 200642545.9085885503
• The cube root of 40257431228680064 is 342727.2897100793

Scales and comparisons

• 40,257,431,228,680,064 seconds is equal to 1,280,061,788 years, 34 weeks, 2 days, 16 hours, 27 minutes, 44 seconds.
• To count from 1 to 40,257,431,228,680,064 would take you about three billion, eight hundred forty million, one hundred eighty-five thousand, three hundred sixty-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 40257431228680064 cubic inches would be around 28560.6 feet tall.

Recreational maths with 40257431228680064

• 40257431228680064 backwards is 46008682213475204
• The number of decimal digits it has is: 17
• The sum of 40257431228680064's digits is 62
• More coming soon!