230923884319038400

Names of 230923884319038400

• Cardinal: 230923884319038400 can be written as Two hundred thirty quadrillion, nine hundred twenty-three trillion, eight hundred eighty-four billion, three hundred nineteen million, thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 2.309238843190384 × 10¹⁷

Factors of 230923884319038400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 111

Divisors of 230923884319038400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 97 98 100 112 140 160 175 194 196 200 224 245 280 320 343 350 388 392 400 448 485 490 560 679 686 700 776 784 800 970 980 1120 1225 1358 1372 1400 1552 1568 1600 1715 1940 1960 2240 2401 2425 2450 2716 2744 2800 3104 3136 3395 3430 3880 3920 4753 4802 4850 4900 5432 5488 5600 6208 6790 6860 7760 7840 8575 9409 9506 9604 9700 9800 10864 10976 11200 12005 13580 13720 15520 15680 16807 16975 17150 18818 19012 19208 19400 19600 21728 21952 23765 24010 27160 27440 31040 33271 33614 33950 34300 37636 38024 38416 38800 39200 43456 47045 47530 48020 54320 54880 60025 65863 66542 67228 67900 68600 75272 76048 76832 77600 78400 84035 94090 95060 96040 108640 109760 118825 120050 131726 133084 134456 135800 137200 150544 152096 153664 155200 166355 168070 188180 190120 192080 217280 232897 235225 237650 240100 263452 266168 268912 271600 274400 301088 304192 329315 332710 336140 376360 380240 384160 420175 461041 465794 470450 475300 480200 526904 532336 537824 543200 548800 602176 658630 665420 672280 752720 760480 768320 831775 840350 912673 922082 931588 940900 950600 960400 1053808 1064672 1075648 1086400 1164485 1317260 1330840 1344560 1505440 1520960 1630279 1646575 1663550 1680700 1825346 1844164 1863176 1881800 1901200 1920800 2107616 2129344 2305205 2328970 2634520 2661680 2689120 3010880 3227287 3260558 3293150 3327100 3361400 3650692 3688328 3726352 3763600 3802400 3841600 4215232 4563365 4610410 4657940 5269040 5323360 5378240 5822425 6388711 6454574 6521116 6586300 6654200 6722800 7301384 7376656 7452704 7527200 7604800 8151395 9126730 9220820 9315880 10538080 10646720 11526025 11644850 12777422 12909148 13042232 13172600 13308400 13445600 14602768 14753312 14905408 15054400 16136435 16302790 18253460 18441640 18631760 21076160 22591009 22816825 23052050 23289700 25554844 25818296 26084464 26345200 26616800 26891200 29205536 29506624 31943555 32272870 32605580 36506920 36883280 37263520 40756975 44720977 45182018 45633650 46104100 46579400 51109688 51636592 52168928 52690400 53233600 58411072 63887110 64545740 65211160 73013840 73766560 74527040 80682175 81513950 88529281 89441954 90364036 91267300 92208200 93158800 102219376 103273184 104337856 105380800 112955045 127774220 129091480 130422320 146027680 147533120 158137063 159717775 161364350 163027900 177058562 178883908 180728072 182534600 184416400 186317600 204438752 206546368 223604885 225910090 255548440 258182960 260844640 292055360 313046839 316274126 319435550 322728700 326055800 354117124 357767816 361456144 365069200 368832800 372635200 408877504 442646405 447209770 451820180 511096880 516365920 521689280 564775225 619704967 626093678 632548252 638871100 645457400 652111600 708234248 715535632 722912288 730138400 737665600 790685315 885292810 894419540 903640360 1022193760 1032731840 1118024425 1129550450 1239409934 1252187356 1265096504 1277742200 1290914800 1304223200 1416468496 1431071264 1445824576 1460276800 1565234195 1581370630 1770585620 1788839080 1807280720 2044387520 2191327873 2213232025 2236048850 2259100900 2478819868 2504374712 2530193008 2555484400 2581829600 2608446400 2832936992 2862142528 3098524835 3130468390 3162741260 3541171240 3577678160 3614561440 3953426575 4337934769 4382655746 4426464050 4472097700 4518201800 4957639736 5008749424 5060386016 5110968800 5163659200 5665873984 6197049670 6260936780 6325482520 7082342480 7155356320 7229122880 7826170975 7906853150 8587340257 8675869538 8765311492 8852928100 8944195400 9036403600 9915279472 10017498848 10120772032 10221937600 10956639365 12394099340 12521873560 12650965040 14164684960 14310712640 15339295111 15492624175 15652341950 15813706300 17174680514 17351739076 17530622984 17705856200 17888390800 18072807200 19830558944 20034997696 21689673845 21913278730 24788198680 25043747120 25301930080 28329369920 30365543383 30678590222 30985248350 31304683900 31627412600 34349361028 34703478152 35061245968 35411712400 35776781600 36145614400 39661117888 42936701285 43379347690 43826557460 49576397360 50087494240 50603860160 54783196825 60111381799 60731086766 61357180444 61970496700 62609367800 63254825200 68698722056 69406956304 70122491936 70823424800 71553563200 76696475555 85873402570 86758695380 87653114920 99152794720 100174988480 108448369225 109566393650 120222763598 121462173532 122714360888 123940993400 125218735600 126509650400 137397444112 138813912608 140244983872 141646849600 151827716915 153392951110 171746805140 173517390760 175306229840 198305589440 212558803681 214683506425 216896738450 219132787300 240445527196 242924347064 245428721776 247881986800 250437471200 253019300800 274794888224 277627825216 300556908995 303655433830 306785902220 343493610280 347034781520 350612459680 383482377775 420779672593 425117607362 429367012850 433793476900 438265574600 480891054392 485848694128 490857443552 495763973600 500874942400 549589776448 601113817990 607310867660 613571804440 686987220560 694069563040 701224919360 759138584575 766964755550 841559345186 850235214724 858734025700 867586953800 876531149200 961782108784 971697388256 981714887104 991527947200 1062794018405 1202227635980 1214621735320 1227143608880 1373974441120 1388139126080 1487911625767 1502784544975 1518277169150 1533929511100 1683118690372 1700470429448 1717468051400 1735173907600 1753062298400 1923564217568 1943394776512 2103898362965 2125588036810 2404455271960 2429243470640 2454287217760 2747948882240 2945457708151 2975823251534 3005569089950 3036554338300 3067859022200 3366237380744 3400940858896 3434936102800 3470347815200 3506124596800 3847128435136 4207796725930 4251176073620 4808910543920 4858486941280 4908574435520 5313970092025 5890915416302 5951646503068 6011138179900 6073108676600 6135718044400 6732474761488 6801881717792 6869872205600 6940695630400 7439558128835 8415593451860 8502352147240 9617821087840 9716973882560 10519491814825 10627940184050 11781830832604 11903293006136 12022276359800 12146217353200 12271436088800 13464949522976 13603763435584 13739744411200 14727288540755 14879116257670 16831186903720 17004704294480 19235642175680 20618203957057 21038983629650 21255880368100 23563661665208 23806586012272 24044552719600 24292434706400 24542872177600 26929899045952 29454577081510 29758232515340 33662373807440 34009408588960 37197790644175 41236407914114 42077967259300 42511760736200 47127323330416 47613172024544 48089105439200 48584869412800 58909154163020 59516465030680 67324747614880 68018817177920 73636442703775 74395581288350 82472815828228 84155934518600 85023521472400 94254646660832 95226344049088 96178210878400 103091019785285 117818308326040 119032930061360 134649495229760 144327427699399 147272885407550 148791162576700 164945631656456 168311869037200 170047042944800 188509293321664 206182039570570 235636616652080 238065860122720 288654855398798 294545770815100 297582325153400 329891263312912 336623738074400 340094085889600 412364079141140 471273233304160 476131720245440 515455098926425 577309710797596 589091541630200 595164650306800 659782526625824 673247476148800 721637138496995 824728158282280 942546466608320 1030910197852850 1154619421595192 1178183083260400 1190329300613600 1319565053251648 1443274276993990 1649456316564560 2061820395705700 2309238843190384 2356366166520800 2380658601227200 2886548553987980 3298912633129120 3608185692484975 4123640791411400 4618477686380768 4712732333041600 5773097107975960 6597825266258240 7216371384969950 8247281582822800 9236955372761536 11546194215951920 14432742769939900 16494563165645600 23092388431903840 28865485539879800 32989126331291200 46184776863807680 57730971079759600 115461942159519200 230923884319038400
• Sum of all divisors σ(n): 669819652509763728
• Sum of proper divisors (its aliquot sum) s(n): 438895768190725328
• 230923884319038400 is an abundant number, because the sum of its proper divisors (438895768190725328) is greater than itself. Its abundance is 207971883871686928

Bases of 230923884319038400

• Binary: 1100110100011010000000110010011110111111010101101111000000₂
• Hexadecimal: 0x334680C9EFD5BC0
• Base-36: 1R5RONXPJQV4

Squares and roots of 230923884319038400

• 230923884319038400 squared (230923884319038400²) is 53325840348992629048076700674560000
• 230923884319038400 cubed (230923884319038400³) is 12314210187966284170751144432966728851530543104000000
• The square root of 230923884319038400 is 480545402.9735779295
• The cube root of 230923884319038400 is 613511.8440635353

Scales and comparisons

• 230,923,884,319,038,400 seconds is equal to 7,342,665,226 years, 45 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
• To count from 1 to 230,923,884,319,038,400 would take you about twenty-two billion, twenty-seven million, nine hundred ninety-five thousand, six hundred eighty 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 230923884319038400 cubic inches would be around 51126 feet tall.

Recreational maths with 230923884319038400

• 230923884319038400 backwards is 004830913488329032
• The number of decimal digits it has is: 18
• The sum of 230923884319038400's digits is 67
• More coming soon!