40328542400849248

Names of 40328542400849248

• Cardinal: 40328542400849248 can be written as Forty quadrillion, three hundred twenty-eight trillion, five hundred forty-two billion, four hundred million, eight hundred forty-nine thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 4.0328542400849248 × 10¹⁶

Factors of 40328542400849248

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 322

Divisors of 40328542400849248

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 169 182 196 208 224 247 266 281 304 338 361 364 392 416 494 532 562 608 637 676 722 728 784 931 988 1064 1124 1183 1274 1352 1444 1456 1568 1729 1862 1967 1976 2128 2248 2366 2527 2548 2704 2888 2912 3211 3458 3653 3724 3934 3952 4256 4496 4693 4732 5054 5096 5339 5408 5776 6422 6859 6916 7306 7448 7868 7904 8281 8992 9386 9464 10108 10192 10678 11552 12103 12844 13718 13769 13832 14612 14896 15736 16562 17689 18772 18928 20216 20384 21356 22477 24206 25571 25688 27436 27538 27664 29224 29792 31472 32851 33124 35378 37373 37544 37856 40432 42712 44954 47489 48013 48412 51142 51376 54872 55076 55328 58448 61009 62944 65702 66248 69407 70756 74746 75088 78961 80864 85424 89167 89908 94978 96026 96824 101441 102284 102752 109744 110152 116896 122018 131404 132496 138814 141512 149492 150176 157339 157922 170848 178334 178997 179816 189956 192052 193648 202882 204568 219488 220304 229957 244036 261611 262808 264992 277628 283024 298984 314678 315844 332423 336091 356668 357994 359632 379912 384104 387296 405764 409136 427063 440608 459914 485849 488072 523222 525616 552727 555256 566048 597968 624169 629356 631688 664846 672182 710087 713336 715988 719264 759824 768208 811528 818272 854126 902291 919828 971698 976144 1026493 1046444 1051232 1105454 1110512 1159171 1195936 1248338 1258712 1263376 1318733 1329692 1344364 1420174 1426672 1431976 1500259 1519648 1536416 1623056 1708252 1804582 1839656 1927379 1943396 1952288 2052986 2092888 2210908 2221024 2318342 2326961 2496676 2517424 2526752 2637466 2659384 2688728 2840348 2853344 2863952 2989441 3000518 3246112 3400943 3416504 3609164 3679312 3854758 3869089 3886792 4105972 4185776 4369183 4421816 4636684 4653922 4970609 4993352 5034848 5274932 5318768 5377456 5680696 5727904 5978882 6001036 6316037 6801886 6833008 7185451 7218328 7358624 7709516 7738178 7773584 8114197 8211944 8371552 8738366 8843632 9231131 9273368 9307844 9941218 9986704 10501813 10549864 10637536 10754912 11361392 11957764 12002072 12632074 13344409 13491653 13603772 13666016 14370902 14436656 15419032 15476356 15547168 16228394 16423888 17143529 17476732 17687264 18462262 18546736 18615688 19503367 19882436 19973408 21003626 21099728 22188041 22722784 23915528 24004144 25055927 25264148 26688818 26983306 27207544 28504921 28741804 28873312 30838064 30952712 32456788 32847776 34287058 34953464 36924524 37093472 37231376 39006734 39764872 42007252 42199456 44212259 44376082 47831056 48008288 50111854 50298157 50528296 53377636 53966612 54415088 56799379 57009842 57483608 61676128 61905424 64617917 64913576 68574116 69906928 73512691 73849048 74462752 78013468 79529744 84014504 88424518 88752164 93410863 94441571 95662112 100223708 100596314 101056592 106755272 107933224 108830176 113598758 114019684 114967216 120004703 123810848 129235834 129827152 136523569 137148232 139813856 147025382 147698096 155316287 156026936 159059488 168029008 175391489 176849036 177504328 186821726 188883142 199534447 200447416 201192628 202113184 213510544 215866448 227197516 228039368 229934432 240009406 253543771 258471668 259654304 273047138 274296464 288444533 294050764 295396192 310632574 312053872 325727051 336058016 350782978 353698072 355008656 370563973 373643452 377766284 399068894 400894832 402385256 421572779 427021088 431732896 454395032 456078736 480018812 507087542 516943336 541593499 546094276 548592928 576889066 588101528 621265148 624107744 651454102 653876041 701565956 707396144 710017312 741127946 747286904 755532568 798137788 801789664 804770512 840032921 843145558 908790064 912157472 955664983 960037624 1014175084 1033886672 1083186998 1087214009 1092188552 1153778132 1176203056 1227740423 1242530296 1302908204 1307752082 1396741129 1403131912 1414792288 1482255892 1494573808 1511065136 1596275576 1609541024 1680065842 1686291116 1774806397 1817580128 1911329966 1920075248 2019111731 2028350168 2067773344 2166373996 2174428018 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23608075624 24847289558 26248452503 26538081451 26881053472 28162861948 28267564234 28396902352 29998231432 30329235944 30581279456 31921250998 32039531204 32305787696 33721321543 34790848288 36315269354 36481429712 38363122889 38538653192 39287693536 41314132342 41503164976 43843569016 44695716128 47216151248 49285008409 49694579116 52496905006 53076162902 56069179607 56325723896 56535128468 56793804704 59996462864 60658471888 63842501996 64079062408 64611575392 67442643086 71245799651 72630538708 72962859424 76726245778 77077306384 82628264684 83006329952 87687138032 91529301331 94432302496 98570016818 99389158232 104128476413 104993810012 106152325804 112138359214 112651447792 113070256936 119992925728 121316943776 127685003992 128158124816 134885286172 142491599302 145261077416 152187773219 153452491556 154154612768 165256529368 175374276064 183058602662 183739167521 197140033636 198778316464 208256952826 209987620024 212304651608 224276718428 225302895584 226140513872 236049250801 255370007984 256316249632 268541860223 269770572344 284983198604 290522154832 304375546438 306904983112 330513058736 344995058863 366117205324 367478335042 392484257249 394280067272 397556632928 416513905652 419975240048 424609303216 448553436856 452281027744 472098501602 498720597557 510740015968 537083720446 539541144688 569966397208 581044309664 608751092876 613809966224 640705109317 661026117472 689990117726 728899334891 732234410648 734956670084 784968514498 788560134544 833027811304 839950480096 849218606432 897106873712 944197003204 997441195114 1065314412533 1074167440892 1079082289376 1139932794416 1217502185752 1227619932448 1281410218634 1353670193369 1379980235452 1457798669782 1464468821296 1469913340168 1569937028996 1577120269088 1666055622608 1794213747424 1888394006408 1978441051847 1994882390228 2130628825066 2148334881784 2279865588832 2435004371504 2562820437268 2707340386738 2759960470904 2915597339564 2928937642592 2939826680336 3139874057992 3332111245216 3491044182899 3776788012816 3956882103694 3989764780456 4261257650132 4296669763568 4484935765219 4870008743008 5102295344237 5125640874536 5414680773476 5519920941808 5831194679128 5879653360672 6279748115984 6982088365798 7457200887731 7553576025632 7913764207388 7979529560912 8522515300264 8593339527136 8969871530438 9475691353583 10204590688474 10251281749072 10829361546952 11039841883616 11662389358256 12559496231968 13849087362929 13964176731596 14914401775462 15827528414776 15959059121824 17045030600528 17939743060876 18951382707166 20409181376948 20502563498144 21658723093904 23324778716512 25719733674011 27698174725858 27928353463192 29828803550924 31655056829552 34090061201056 35879486121752 37902765414332 40818362753896 43317446187808 51439467348022 55396349451716 55856706926384 59657607101848 63310113659104 66329839475081 71758972243504 75805530828664 81636725507792 96943611540503 102878934696044 110792698903432 111713413852768 119315214203696 132659678950162 143517944487008 151611061657328 163273451015584 180038135718077 193887223081006 205757869392088 221585397806864 238630428407392 265319357900324 303222123314656 360076271436154 387774446162012 411515738784176 443170795613728 530638715800648 720152542872308 775548892324024 823031477568352 1061277431601296 1260266950026539 1440305085744616 1551097784648048 2122554863202592 2520533900053078 2880610171489232 3102195569296096 5041067800106156 5761220342978464 10082135600212312 20164271200424624 40328542400849248
• Sum of all divisors σ(n): 105943010372952480
• Sum of proper divisors (its aliquot sum) s(n): 65614467972103232
• 40328542400849248 is an abundant number, because the sum of its proper divisors (65614467972103232) is greater than itself. Its abundance is 25285925571253984

Bases of 40328542400849248

• Binary: 10001111010001101001100001111100000111001010010101100000₂
• Hexadecimal: 0x8F46987C1CA560
• Base-36: B139WM5CV34

Squares and roots of 40328542400849248

• 40328542400849248 squared (40328542400849248²) is 1626391332177095627952951622165504
• 40328542400849248 cubed (40328542400849248³) is 65589991800077694926823968807498096140590409940992
• The square root of 40328542400849248 is 200819676.3289126707
• The cube root of 40328542400849248 is 342928.9700993313

Scales and comparisons

• 40,328,542,400,849,248 seconds is equal to 1,282,322,903 years, 50 weeks, 4 days, 20 hours, 47 minutes, 28 seconds.
• To count from 1 to 40,328,542,400,849,248 would take you about three billion, eight hundred forty-six million, nine hundred sixty-eight thousand, seven hundred eleven 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 40328542400849248 cubic inches would be around 28577.4 feet tall.

Recreational maths with 40328542400849248

• 40328542400849248 backwards is 84294800424582304
• The number of decimal digits it has is: 17
• The sum of 40328542400849248's digits is 67
• More coming soon!