40100245678821328

Names of 40100245678821328

• Cardinal: 40100245678821328 can be written as Forty quadrillion, one hundred trillion, two hundred forty-five billion, six hundred seventy-eight million, eight hundred twenty-one thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0100245678821328 × 10¹⁶

Factors of 40100245678821328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 130

Divisors of 40100245678821328

• Number of divisors d(n): 1350
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 97 98 104 112 121 143 154 169 176 182 194 196 208 242 286 308 338 364 388 392 484 539 572 616 637 676 679 728 776 784 847 968 1001 1067 1078 1144 1183 1232 1261 1274 1331 1352 1358 1456 1552 1573 1694 1859 1936 2002 2134 2156 2197 2288 2366 2522 2548 2662 2704 2716 3146 3388 3718 4004 4268 4312 4394 4732 4753 5044 5096 5324 5432 5929 6292 6776 7007 7436 7469 8008 8281 8536 8624 8788 8827 9317 9409 9464 9506 10088 10192 10648 10864 11011 11737 11858 12584 13013 13552 13871 14014 14641 14872 14938 15379 16016 16393 16562 17072 17303 17576 17654 18634 18818 18928 19012 20176 20449 21296 22022 23474 23716 24167 25168 26026 27742 28028 28561 29282 29744 29876 30758 32786 33124 34606 35152 35308 37268 37636 38024 40898 44044 46948 47432 48334 52052 52283 55484 56056 57122 58564 59752 61516 61789 65219 65572 65863 66248 69212 70616 74536 75272 76048 77077 81796 82159 88088 91091 93896 94864 96668 97097 102487 103499 104104 104566 107653 110968 112112 114244 114751 117128 119504 121121 122317 123032 123578 129107 130438 131144 131726 132496 138424 141232 143143 149072 150544 152581 154154 163592 164318 169169 176176 180323 182182 187792 190333 193336 194194 199927 204974 206998 208208 209132 213109 215306 221936 224939 228488 229502 234256 242242 244634 246064 247156 258214 260876 262288 263452 265837 276848 286286 305162 308308 314171 327184 328636 338338 360646 364364 371293 380666 386672 388388 399854 409948 413996 418264 426218 430612 449878 456976 459004 461041 484484 489268 494312 516428 521752 526904 531674 572572 575113 610324 616616 628342 657272 676676 679679 717409 721292 724493 728728 742586 761332 776776 799708 803257 819896 827992 836528 847847 852436 856219 861224 899756 903749 918008 922082 968968 978536 988624 1002001 1032856 1043504 1053808 1063348 1068067 1138489 1145144 1150226 1184183 1220648 1233232 1256684 1262261 1314544 1332331 1345487 1353352 1359358 1399489 1420177 1434818 1442584 1448986 1457456 1485172 1491763 1522664 1553552 1574573 1590121 1599416 1606514 1639792 1655984 1678391 1695694 1704872 1712438 1722448 1799512 1807498 1836016 1844164 1860859 1937936 1957072 1983553 2004002 2065712 2126696 2136134 2199197 2276978 2290288 2300452 2344199 2368366 2441296 2474329 2513368 2524522 2599051 2664662 2690974 2706704 2718716 2770417 2798978 2840354 2869636 2885168 2897972 2924207 2970344 2983526 3045328 3149146 3180242 3198832 3213028 3356782 3391388 3409744 3424876 3455881 3599024 3614996 3688328 3721718 3967106 4008004 4084223 4253392 4272268 4398394 4553956 4600904 4688398 4736732 4948658 5026736 5049044 5071451 5198102 5329324 5381948 5437432 5540834 5597956 5680708 5739272 5795944 5848414 5940688 5967052 5993533 6298292 6326243 6360484 6426056 6713564 6782776 6849752 6911762 7229992 7376656 7443436 7476469 7934212 7969423 8016008 8168446 8544536 8796788 8835827 9107912 9201808 9326317 9376796 9418409 9473464 9897316 9941239 10098088 10142902 10396204 10442341 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1158765696088 1210610001172 1223090516648 1303733847416 1342222709828 1348179319487 1369450368104 1404021066448 1430720910476 1445470610584 1540776365128 1593302832121 1659297623984 1690851985108 1708283448872 1820917522424 1882994256143 1960988101072 1987522089553 2109207115444 2118567502051 2130951518696 2151993435592 2271453816632 2281534232978 2317531392176 2348889742199 2421220002344 2446181033296 2503761593333 2607467694832 2684445419656 2696358638974 2738900736208 2861441820952 2890941221168 2958990973939 3081552730256 3186605664242 3381703970216 3416566897744 3641835044848 3691112452027 3765988512286 3934482503809 3975044179106 4218414230888 4237135004102 4261903037392 4303986871184 4542907633264 4563068465956 4649842959047 4697779484398 4842440004688 5007523186666 5368890839312 5392717277948 5722883641904 5917981947878 6373211328484 6763407940432 7382224904054 7531977024572 7868965007618 7950088358212 8436828461776 8474270008204 9126136931912 9299685918094 9395558968796 10015046373332 10785434555896 11835963895756 12746422656968 14764449808108 14829972514357 15063954049144 15737930015236 15900176716424 16948540016408 17526331153331 18252273863824 18599371836188 18791117937592 20030092746664 20712936817573 21570869111792 23671927791512 25492845313936 25837787164189 27541377526663 29528899616216 29659945028714 30127908098288 31475860030472 31800353432848 32548900713329 33897080032816 35052662306662 37198743672376 37582235875184 40060185493328 41425873635146 47343855583024 51148272549517 51675574328378 55082755053326 59057799232432 59319890057428 62951720060944 65097801426658 70105324613324 74397487344752 82851747270292 102296545099034 103351148656756 110165510106652 118639780114856 130195602853316 140210649226648 165703494540584 192789642686641 204593090198068 206702297313512 220331020213304 227842304993303 237279560229712 260391205706632 280421298453296 331406989081168 358037907846619 385579285373282 409186180396136 413404594627024 440662040426608 455684609986606 520782411413264 716075815693238 771158570746564 818372360792272 911369219973212 1432151631386476 1542317141493128 1822738439946424 2506265354926333 2864303262772952 3084634282986256 3645476879892848 5012530709852666 5728606525545904 10025061419705332 20050122839410664 40100245678821328
• Sum of all divisors σ(n): 108822713382237330
• Sum of proper divisors (its aliquot sum) s(n): 68722467703416002
• 40100245678821328 is an abundant number, because the sum of its proper divisors (68722467703416002) is greater than itself. Its abundance is 28622222024594674

Bases of 40100245678821328

• Binary: 10001110011101101111011000000011000101111000111111010000₂
• Hexadecimal: 0x8E76F603178FD0
• Base-36: AYUCMJRIB4G

Squares and roots of 40100245678821328

• 40100245678821328 squared (40100245678821328²) is 1608029703501828588849115347683584
• 40100245678821328 cubed (40100245678821328³) is 64482386169265543155411326586294372817832214679552
• The square root of 40100245678821328 is 200250457.3748118261
• The cube root of 40100245678821328 is 342280.6471679327

Scales and comparisons

• 40,100,245,678,821,328 seconds is equal to 1,275,063,774 years, 19 weeks, 6 days, 5 hours, 55 minutes, 28 seconds.
• To count from 1 to 40,100,245,678,821,328 would take you about three billion, eight hundred twenty-five million, one hundred ninety-one thousand, three hundred twenty-three 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 40100245678821328 cubic inches would be around 28523.4 feet tall.

Recreational maths with 40100245678821328

• 40100245678821328 backwards is 82312887654200104
• The number of decimal digits it has is: 17
• The sum of 40100245678821328's digits is 61
• More coming soon!