513823113216

Names of 513823113216

• Cardinal: 513823113216 can be written as Five hundred thirteen billion, eight hundred twenty-three million, one hundred thirteen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 5.13823113216 × 10¹¹

Factors of 513823113216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 80

Divisors of 513823113216

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 37 42 48 49 56 62 63 64 72 74 84 93 96 98 111 112 124 126 128 144 147 148 168 186 192 196 217 222 224 248 252 256 259 279 288 294 296 333 336 372 384 392 434 441 444 448 496 504 512 518 558 576 588 592 651 666 672 744 768 777 784 868 882 888 896 961 992 1008 1024 1036 1116 1147 1152 1176 1184 1302 1332 1344 1488 1519 1536 1554 1568 1736 1764 1776 1792 1813 1922 1953 1984 2016 2048 2072 2232 2294 2304 2331 2352 2368 2604 2664 2688 2883 2976 3038 3072 3108 3136 3441 3472 3528 3552 3584 3626 3844 3906 3968 4032 4096 4144 4464 4557 4588 4608 4662 4704 4736 5208 5328 5376 5439 5766 5952 6076 6144 6216 6272 6727 6882 6944 7056 7104 7168 7252 7688 7812 7936 8029 8064 8192 8288 8649 8928 9114 9176 9216 9324 9408 9472 10323 10416 10656 10752 10878 11532 11904 12152 12288 12432 12544 13454 13671 13764 13888 14112 14208 14336 14504 15376 15624 15872 16058 16128 16317 16384 16576 17298 17856 18228 18352 18432 18648 18816 18944 20181 20646 20832 21312 21504 21756 23064 23808 24087 24304 24576 24864 25088 26908 27342 27528 27776 28224 28416 28672 29008 30752 31248 31744 32116 32256 32634 32768 33152 34596 35557 35712 36456 36704 36864 37296 37632 37888 40362 41292 41664 42624 43008 43512 46128 47089 47616 48174 48608 49152 49728 50176 53816 54684 55056 55552 56203 56448 56832 57344 58016 60543 61504 62496 63488 64232 64512 65268 66304 69192 71114 71424 72261 72912 73408 73728 74592 75264 75776 80724 82584 83328 85248 86016 87024 92256 94178 95232 96348 97216 98304 99456 100352 106671 107632 109368 110112 111104 112406 112896 113664 114688 116032 121086 123008 124992 126976 128464 129024 130536 132608 138384 141267 142228 142848 144522 145824 146816 147456 149184 150528 151552 161448 165168 166656 168609 170496 172032 174048 184512 188356 190464 192696 194432 198912 200704 213342 215264 218736 220224 222208 224812 225792 227328 229376 232064 242172 246016 248899 249984 253952 256928 258048 261072 265216 276768 282534 284456 285696 289044 291648 293632 294912 298368 301056 303104 320013 322896 330336 333312 337218 340992 344064 348096 369024 376712 380928 385392 388864 397824 401408 423801 426684 430528 437472 440448 444416 449624 451584 454656 464128 484344 492032 497798 499968 505827 507904 513856 516096 522144 530432 553536 565068 568912 571392 578088 583296 587264 596736 602112 606208 640026 645792 660672 666624 674436 681984 688128 696192 738048 746697 753424 761856 770784 777728 795648 802816 847602 853368 861056 874944 880896 888832 899248 903168 909312 928256 968688 984064 995596 999936 1011654 1015808 1027712 1032192 1044288 1060864 1107072 1130136 1137824 1142784 1156176 1166592 1174528 1193472 1204224 1212416 1280052 1291584 1321344 1333248 1348872 1363968 1392384 1476096 1493394 1506848 1523712 1541568 1555456 1591296 1605632 1695204 1706736 1722112 1742293 1749888 1761792 1777664 1798496 1806336 1818624 1856512 1937376 1968128 1991192 1999872 2023308 2055424 2064384 2088576 2121728 2214144 2240091 2260272 2275648 2285568 2312352 2333184 2349056 2386944 2408448 2560104 2583168 2642688 2666496 2697744 2727936 2784768 2952192 2986788 3013696 3047424 3083136 3110912 3182592 3390408 3413472 3444224 3484586 3499776 3523584 3555328 3596992 3612672 3637248 3713024 3874752 3936256 3982384 3999744 4046616 4110848 4177152 4243456 4428288 4480182 4520544 4551296 4571136 4624704 4666368 4698112 4773888 4816896 5120208 5166336 5226879 5285376 5332992 5395488 5455872 5569536 5904384 5973576 6027392 6166272 6221824 6365184 6780816 6826944 6888448 6969172 6999552 7047168 7110656 7193984 7225344 7426048 7749504 7872512 7964768 7999488 8093232 8221696 8354304 8486912 8856576 8960364 9041088 9102592 9142272 9249408 9332736 9396224 9547776 10240416 10332672 10453758 10570752 10665984 10790976 10911744 11139072 11808768 11947152 12054784 12332544 12443648 12730368 13561632 13653888 13776896 13938344 13999104 14094336 14387968 14450688 14852096 15499008 15680637 15745024 15929536 15998976 16186464 16443392 16708608 17713152 17920728 18082176 18205184 18498816 18665472 18792448 19095552 20480832 20665344 20907516 21141504 21331968 21581952 22278144 23617536 23894304 24109568 24665088 24887296 25460736 27123264 27307776 27553792 27876688 27998208 28188672 28775936 29704192 30998016 31361274 31490048 31859072 31997952 32372928 32886784 33417216 35426304 35841456 36164352 36410368 36997632 37330944 37584896 38191104 40961664 41330688 41815032 42283008 43163904 44556288 47235072 47788608 48219136 49330176 49774592 54246528 54615552 55107584 55753376 55996416 56377344 57551872 59408384 61996032 62722548 63718144 63995904 64745856 65773568 66834432 70852608 71682912 72328704 72820736 73995264 74661888 76382208 81923328 82661376 83630064 84566016 86327808 89112576 94470144 95577216 96438272 98660352 108493056 109231104 110215168 111506752 111992832 112754688 115103744 123992064 125445096 127436288 129491712 131547136 133668864 141705216 143365824 144657408 145641472 147990528 149323776 163846656 165322752 167260128 169132032 172655616 178225152 191154432 192876544 197320704 216986112 218462208 220430336 223013504 223985664 230207488 247984128 250890192 254872576 258983424 263094272 267337728 283410432 286731648 289314816 291282944 295981056 327693312 330645504 334520256 338264064 345311232 382308864 385753088 394641408 433972224 436924416 446027008 447971328 460414976 495968256 501780384 509745152 517966848 534675456 573463296 578629632 582565888 591962112 655386624 661291008 669040512 690622464 764617728 771506176 789282816 867944448 873848832 892054016 920829952 991936512 1003560768 1019490304 1035933696 1146926592 1157259264 1165131776 1183924224 1310773248 1338081024 1381244928 1529235456 1543012352 1735888896 1747697664 1784108032 1841659904 1983873024 2007121536 2038980608 2071867392 2293853184 2314518528 2367848448 2621546496 2676162048 2762489856 3058470912 3471777792 3495395328 3568216064 4014243072 4077961216 4143734784 4587706368 4629037056 5243092992 5352324096 5524979712 6116941824 6943555584 7136432128 8028486144 8155922432 8287469568 9175412736 10486185984 10704648192 12233883648 13887111168 14272864256 16056972288 16574939136 18350825472 21409296384 24467767296 28545728512 32113944576 36701650944 42818592768 57091457024 64227889152 73403301888 85637185536 128455778304 171274371072 256911556608 513823113216
• Sum of all divisors σ(n): 1832417188290
• Sum of proper divisors (its aliquot sum) s(n): 1318594075074
• 513823113216 is an abundant number, because the sum of its proper divisors (1318594075074) is greater than itself. Its abundance is 804770961858

Bases of 513823113216

• Binary: 111011110100010001111101000000000000000₂
• Hexadecimal: 0x77A23E8000
• Base-36: 6K1P0JK0

Squares and roots of 513823113216

• 513823113216 squared (513823113216²) is 264014191674982353862656
• 513823113216 cubed (513823113216³) is 135656593899645182683573668802461696
• The square root of 513823113216 is 716814.5598521281
• The cube root of 513823113216 is 8009.4841332921

Scales and comparisons

• 513,823,113,216 seconds is equal to 16,337 years, 51 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
• To count from 1 to 513,823,113,216 would take you about thirty-two thousand, six hundred seventy-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 513823113216 cubic inches would be around 667.5 feet tall.

Recreational maths with 513823113216

• 513823113216 backwards is 612311328315
• 513823113216 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 513823113216's digits is 36
• More coming soon!