315993429133627648

Names of 315993429133627648

• Cardinal: 315993429133627648 can be written as Three hundred fifteen quadrillion, nine hundred ninety-three trillion, four hundred twenty-nine billion, one hundred thirty-three million, six hundred twenty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 3.15993429133627648 × 10¹⁷

Factors of 315993429133627648

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 18409

Divisors of 315993429133627648

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 8 13 16 19 26 31 32 37 38 52 62 64 74 76 104 124 128 148 152 169 208 247 248 256 296 304 338 403 416 481 494 496 589 592 608 676 703 806 832 962 988 992 1147 1178 1184 1216 1352 1406 1612 1664 1924 1976 1984 2294 2356 2368 2432 2704 2812 3211 3224 3328 3848 3952 3968 4588 4712 4736 4864 5239 5408 5624 6253 6422 6448 7657 7696 7904 7936 9139 9176 9424 9472 10478 10816 11248 12506 12844 12896 14911 15314 15392 15808 18278 18307 18352 18848 20956 21632 21793 22496 25012 25688 25792 29822 30628 30784 31616 36556 36614 36704 37696 41912 43264 43586 44992 50024 51376 51584 59644 61256 61568 63232 73112 73228 73408 75392 83824 87172 89984 99541 100048 102752 103168 118807 119288 122512 123136 146224 146456 146816 150784 167648 174344 179968 193843 199082 200096 205504 237614 237991 238576 245024 283309 292448 292912 293632 335296 347833 348688 387686 398164 400192 411008 475228 475982 477152 490048 566618 567517 584896 585824 670592 677359 695666 697376 775372 796328 800384 822016 950456 951964 954304 980096 1133236 1135034 1169792 1171648 1341184 1354718 1391332 1394752 1550744 1592656 1600768 1900912 1903928 1908608 1960192 2266472 2270068 2339584 2343296 2709436 2782664 2789504 3093883 3101488 3185312 3683017 3801824 3807856 3817216 4521829 4532944 4540136 4686592 5418872 5565328 5579008 6187766 6202976 6370624 7366034 7377721 7603648 7615712 8805667 9043658 9065888 9080272 10782823 10837744 11130656 12375532 12405952 12741248 12869821 14732068 14755442 15207296 15231424 17611334 18087316 18131776 18160544 20998129 21565646 21675488 22261312 24751064 24811904 25482496 25739642 29464136 29510884 30414592 30462848 35222668 36174632 36263552 36321088 41996258 43131292 43350976 44522624 49502128 49623808 51479284 58783777 58928272 59021768 60925696 70445336 72349264 72527104 72642176 83992516 86262584 86701952 89045248 95910373 99004256 102958568 114473671 117567554 117856544 118043536 140176699 140890672 144698528 145284352 167307673 167985032 172525168 173403904 191820746 198008512 205917136 228947342 235135108 235713088 236087072 272975677 280353398 281781344 289397056 334615346 335146249 335970064 345050336 383641492 396017024 398964451 411834272 457894684 470270216 471426176 472174144 545951354 560706796 563562688 578794112 669230692 670292498 671940128 690100672 767282984 792034048 797928902 823668544 915789368 940540432 942852352 944348288 1091902708 1121413592 1127125376 1157588224 1338461384 1340584996 1343880256 1380201344 1534565968 1595857804 1647337088 1822297087 1831578736 1881080864 1888696576 2174999749 2183805416 2242827184 2254250752 2676922768 2681169992 2687760512 2760402688 3069131936 3191715608 3294674176 3548683801 3644594174 3663157472 3762161728 4349999498 4356901237 4367610832 4485654368 5186537863 5353845536 5362339984 5375521024 6138263872 6367778731 6383431216 7097367602 7289188348 7326314944 7524323456 8699998996 8713802474 8735221664 8971308736 10373075726 10389533719 10707691072 10724679968 12276527744 12400411213 12735557462 12766862432 14194735204 14578376696 14652629888 15048646912 17399997992 17427604948 17470443328 17942617472 20746151452 20779067438 21415382144 21449359936 24553055488 24800822426 25471114924 25533724864 28389470408 29156753392 29305259776 34799995984 34855209896 34940886656 35885234944 41492302904 41558134876 42830764288 42898719872 49601644852 50942229848 51067449728 56639716081 56778940816 58313506784 67424992219 69599991968 69710419792 69881773312 82781123503 82984605808 83116269752 85797439744 99203289704 101884459696 102134899456 113279432162 113557881632 116627013568 134849984438 135063938347 139199983936 139420839584 161205345769 165562247006 165969211616 166232539504 197401140661 198406579408 203768919392 226558864324 227115763264 233254027136 235607813047 269699968876 270127876694 278399967872 278841679168 322410691538 331124494012 331938423232 332465079008 384412747603 394802281322 396813158816 407537838784 453117728648 454231526528 466508054272 471215626094 539399937752 540255753388 556799935744 557683358336 644821383076 662248988024 663876846464 664930158016 768825495206 789604562644 793626317632 815075677568 906235457296 908463053056 942431252188 1076154605539 1078799875504 1080511506776 1115366716672 1289642766152 1324497976048 1327753692928 1329860316032 1537650990412 1579209125288 1587252635264 1630151355136 1755831198511 1812470914592 1884862504376 2095669494997 2152309211078 2157599751008 2161023013552 2566214828593 2579285532304 2648995952096 2659720632064 3062901569611 3075301980824 3158418250576 3174505270528 3511662397022 3624941829184 3769725008752 4191338989994 4304618422156 4315199502016 4322046027104 4997365718839 5132429657186 5158571064608 5297991904192 6125803139222 6150603961648 6316836501152 7023324794044 7249883658368 7303842204457 7539450017504 8382677979988 8609236844312 8630399004032 8644092054208 9994731437678 10264859314372 10317142129216 10595983808384 12251606278444 12301207923296 12633673002304 14046649588088 14499767316736 14607684408914 15078900035008 16765355959976 17218473688624 17260798008064 17288184108416 19989462875356 20529718628744 20634284258432 21191967616768 24503212556888 24602415846592 25267346004608 28093299176176 29215368817828 30157800070016 33360792771709 33530711919952 34436947377248 34576368216832 39817720404943 39978925750712 41059437257488 41268568516864 49006425113776 49204831693184 50534692009216 56186598352352 58430737635656 60315600140032 64965754344907 66721585543418 67061423839904 68873894754496 79635440809886 79957851501424 82118874514976 94949948657941 98012850227552 98409663386368 112373196704704 116861475271312 129931508689814 133443171086836 134122847679808 137747789508992 159270881619772 159915703002848 164237749029952 189899897315882 196025700455104 224746393409408 233722950542624 259863017379628 266886342173672 268245695359616 275495579017984 318541763239544 319831406005696 328475498059904 379799794631764 392051400910208 449492786818816 467445901085248 519726034759256 533772684347344 536491390719232 637083526479088 639662812011392 656950996119808 759599589263528 784102801820416 934891802170496 1039452069518512 1067545368694688 1234349332553233 1274167052958176 1279325624022784 1519199178527056 1869783604340992 2078904139037024 2135090737389376 2468698665106466 2548334105916352 3038398357054112 4157808278074048 4270181474778752 4937397330212932 5096668211832704 6076796714108224 8315616556148096 8540362949557504 9874794660425864 10193336423665408 12153593428216448 16631233112296192 19749589320851728 24307186856432896 39499178641703456 78998357283406912 157996714566813824 315993429133627648
• Sum of all divisors σ(n): 762243355079781120
• Sum of proper divisors (its aliquot sum) s(n): 446249925946153472
• 315993429133627648 is an abundant number, because the sum of its proper divisors (446249925946153472) is greater than itself. Its abundance is 130256496812525824

Bases of 315993429133627648

• Binary: 10001100010101000100101100101111110110111100001000100000000₂
• Hexadecimal: 0x462A2597EDE1100
• Base-36: 2EFEBLB9LHJ4

Squares and roots of 315993429133627648

• 315993429133627648 squared (315993429133627648²) is 99851847255628958419306332310011904
• 315993429133627648 cubed (315993429133627648³) is 31552527619633401619839980222315855553872113583521792
• The square root of 315993429133627648 is 562132928.3484713707
• The cube root of 315993429133627648 is 681123.7396348149

Scales and comparisons

• 315,993,429,133,627,648 seconds is equal to 10,047,613,614 years, 31 weeks, 6 hours, 47 minutes, 28 seconds.
• To count from 1 to 315,993,429,133,627,648 would take you about thirty billion, one hundred forty-two million, eight hundred forty thousand, eight hundred forty-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 315993429133627648 cubic inches would be around 56760.3 feet tall.

Recreational maths with 315993429133627648

• 315993429133627648 backwards is 846726331924399513
• The number of decimal digits it has is: 18
• The sum of 315993429133627648's digits is 85
• More coming soon!