468646465049942200

Names of 468646465049942200

• Cardinal: 468646465049942200 can be written as Four hundred sixty-eight quadrillion, six hundred forty-six trillion, four hundred sixty-five billion, forty-nine million, nine hundred forty-two thousand, two hundred.

Scientific notation

• Scientific notation: 4.686464650499422 × 10¹⁷

Factors of 468646465049942200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 788

Divisors of 468646465049942200

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 181 196 200 245 280 343 350 362 392 490 593 686 700 724 905 980 1186 1225 1267 1372 1400 1448 1715 1810 1960 2372 2450 2534 2744 2965 3430 3620 4151 4525 4744 4900 5068 5930 6335 6860 7240 8302 8575 8869 9050 9800 10136 11860 12670 13720 14825 16604 17150 17738 18100 20755 23720 25340 29057 29650 31675 32761 33208 34300 35476 36200 41510 44345 50680 58114 59300 62083 63350 65522 68600 70952 83020 88690 103775 107333 116228 118600 124166 126700 131044 145285 163805 166040 177380 203399 207550 214666 221725 229327 232456 248332 253400 262088 290570 310415 327610 351649 354760 406798 415100 429332 443450 458654 496664 536665 581140 620830 655220 703298 726425 751331 813596 819025 830200 858664 886900 917308 1016995 1073330 1146635 1162280 1241660 1310440 1406596 1452850 1502662 1552075 1605289 1627192 1638050 1758245 1773800 1834616 2033990 2146660 2293270 2461543 2483320 2683325 2813192 2905700 3005324 3104150 3210578 3276100 3516490 3756655 4067980 4293320 4586540 4923086 5084975 5259317 5366650 5733175 5811400 6010648 6208300 6421156 6552200 7032980 7513310 8026445 8135960 8791225 9173080 9846172 10169950 10518634 10733300 11237023 11466350 12307715 12416600 12842312 14065960 15026620 16052890 17230801 17582450 18783275 19427273 19692344 20339900 21037268 21466600 22474046 22932700 24615430 26296585 30053240 32105780 34461602 35164900 36815219 37566550 38854546 40132225 40679800 42074536 44948092 45865400 49230860 52593170 56185115 61538575 63648469 64211560 68923204 70329800 73630438 75133100 77709092 80264450 86154005 89896184 97136365 98461720 105186340 112370230 120615607 123077150 127296938 131482925 135990911 137846408 147260876 150266200 155418184 160528900 172308010 184076095 194272730 208527857 210372680 224740460 241231214 246154300 254593876 262965850 271981822 280925575 294521752 318242345 321057800 344616020 368152190 388545460 417055714 430770025 445539283 449480920 482462428 485681825 492308600 509187752 525931700 543963644 561851150 603078035 636484690 679954555 689232040 736304380 777090920 834111428 861540050 891078566 920380475 951936377 964924856 971363650 1042639285 1051863400 1087927288 1123702300 1206156070 1272969380 1359909110 1459694999 1472608760 1591211725 1668222856 1723080100 1782157132 1840760950 1903872754 1942727300 2085278570 2227696415 2247404600 2412312140 2545938760 2719818220 2919389998 3015390175 3118774981 3182423450 3399772775 3446160200 3564314264 3681521900 3807745508 3885454600 4170557140 4455392830 4759681885 4824624280 5213196425 5439636440 5838779996 6030780350 6237549962 6364846900 6663554639 6799545550 7298474995 7363043800 7615491016 8341114280 8910785660 9519363770 10217864993 10426392850 11138482075 11520372889 11677559992 12061560700 12475099924 12729693800 13327109278 13599091100 14596949990 15593874905 17821571320 19038727540 20435729986 20852785700 21831424867 22276964150 23040745778 23798409425 24123121400 24950199848 26654218556 27198182200 29193899980 31187749810 33317773195 36492374975 37743542117 38077455080 40871459972 41705571400 43662849734 44553928300 46081491556 47596818850 51089324965 53308437112 57601864445 58387799960 62375499620 66635546390 71525054951 72984749950 75487084234 77969374525 80642610223 81742919944 87325699468 89107856600 92162983112 95193637700 102178649930 109157124335 115203728890 124750999240 133271092780 143050109902 145969499900 150974168468 155938749050 161285220446 166588865975 174651398936 188717710585 190387275400 204357299860 218314248670 230407457780 255446624825 264204794819 266542185560 286100219804 288009322225 291938999800 301948336936 311877498100 322570440892 333177731950 357625274755 377435421170 403213051115 408714599720 436628497340 460814915560 510893249650 528409589638 545785621675 564498271561 572200439608 576018644450 623754996200 645140881784 666355463900 715250549510 754870842340 806426102230 873256994680 943588552925 1021786499300 1056819179276 1091571243350 1128996543122 1152037288900 1321023974095 1332710927800 1430501099020 1509741684680 1612852204460 1788126373775 1849433563733 1887177105850 2016065255575 2043572998600 2113638358552 2183142486700 2257993086244 2304074577800 2642047948190 2822491357805 2861002198040 3225704408920 3576252747550 3698867127466 3774354211700 3951487900927 4032130511150 4366284973400 4515986172488 5284095896380 5644982715610 6605119870475 6831581123177 7152505495100 7397734254932 7548708423400 7902975801854 8064261022300 9247167818665 10568191792760 11289965431220 12946034946131 13210239740950 13663162246354 14112456789025 14305010990200 14795468509864 15805951603708 16128522044600 18494335637330 19757439504635 22579930862440 25892069892262 26420479481900 27326324492708 28224913578050 31611903207416 34157905615885 36988671274660 39514879009270 46235839093325 47821067862239 51784139784524 52840958963800 54652648985416 56449827156100 64730174730655 68315811231770 73977342549320 79029758018540 92471678186650 95642135724478 98787197523175 103568279569048 112899654312200 129460349461310 136631622463540 158059516037080 170789528079425 184943356373300 191284271448956 197574395046350 239105339311195 258920698922620 273263244927080 323650873653275 334747475035673 341579056158850 369886712746600 382568542897912 395148790092700 478210678622390 517841397845240 647301747306550 669494950071346 683158112317700 790297580185400 956421357244780 1195526696555975 1294603494613100 1338989900142692 1366316224635400 1673737375178365 1912842714489560 2343232325249711 2391053393111950 2589206989226200 2677979800285384 3347474750356730 4686464650499422 4782106786223900 6694949500713460 8368686875891825 9372929300998844 9564213572447800 11716161626248555 13389899001426920 16737373751783650 18745858601997688 23432323252497110 33474747503567300 46864646504994220 58580808131242775 66949495007134600 93729293009988440 117161616262485550 234323232524971100 468646465049942200
• Sum of all divisors σ(n): 1279891506979800000
• Sum of proper divisors (its aliquot sum) s(n): 811245041929857800
• 468646465049942200 is an abundant number, because the sum of its proper divisors (811245041929857800) is greater than itself. Its abundance is 342598576879915600

Bases of 468646465049942200

• Binary: 11010000000111101110111101000011010100010110101100010111000₂
• Hexadecimal: 0x680F77A1A8B58B8
• Base-36: 3K6HB1VXKYIG

Squares and roots of 468646465049942200

• 468646465049942200 squared (468646465049942200²) is 219629509203806695971140223340840000
• 468646465049942200 cubed (468646465049942200³) is 102928593109017753484762962459525035392732899448000000
• The square root of 468646465049942200 is 684577581.4689977123
• The cube root of 468646465049942200 is 776750.9298927543

Scales and comparisons

• 468,646,465,049,942,200 seconds is equal to 14,901,507,969 years, 46 weeks, 2 days, 23 hours, 56 minutes, 40 seconds.
• To count from 1 to 468,646,465,049,942,200 would take you about forty-four billion, seven hundred four million, five hundred twenty-three thousand, nine hundred nine 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 468646465049942200 cubic inches would be around 64729.2 feet tall.

Recreational maths with 468646465049942200

• 468646465049942200 backwards is 002249940564646864
• The number of decimal digits it has is: 18
• The sum of 468646465049942200's digits is 79
• More coming soon!