382075729954734080

Names of 382075729954734080

• Cardinal: 382075729954734080 can be written as Three hundred eighty-two quadrillion, seventy-five trillion, seven hundred twenty-nine billion, nine hundred fifty-four million, seven hundred thirty-four thousand and eighty.

Scientific notation

• Scientific notation: 3.8207572995473408 × 10¹⁷

Factors of 382075729954734080

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 123

Divisors of 382075729954734080

• Number of divisors d(n): 690
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 43 64 73 80 86 128 146 160 172 215 256 292 320 344 365 430 512 584 640 688 730 860 1024 1168 1280 1376 1460 1720 1849 2048 2336 2560 2752 2920 3139 3440 3698 4096 4672 5120 5329 5504 5840 6278 6880 7396 8192 9245 9344 10240 10658 11008 11680 12556 13760 14792 15695 16384 18490 18688 20480 21316 22016 23360 25112 26645 27520 29584 31390 32768 36980 37376 40960 42632 44032 46720 50224 53290 55040 59168 62780 65536 73960 74752 79507 81920 85264 88064 93440 100448 106580 110080 118336 125560 131072 134977 147920 149504 159014 163840 170528 176128 186880 200896 213160 220160 229147 236672 251120 262144 269954 295840 299008 318028 327680 341056 352256 373760 397535 401792 426320 440320 458294 473344 502240 524288 539908 591680 598016 636056 655360 674885 682112 704512 747520 795070 803584 852640 880640 916588 946688 1004480 1048576 1079816 1145735 1183360 1196032 1272112 1310720 1349770 1364224 1409024 1495040 1590140 1607168 1705280 1761280 1833176 1893376 2008960 2097152 2159632 2291470 2366720 2392064 2544224 2621440 2699540 2728448 2818048 2990080 3180280 3214336 3410560 3418801 3522560 3666352 3786752 4017920 4194304 4319264 4582940 4733440 4784128 5088448 5242880 5399080 5456896 5636096 5804011 5980160 6360560 6428672 6821120 6837602 7045120 7332704 7573504 8035840 8638528 9165880 9466880 9568256 9853321 10176896 10485760 10798160 10913792 11272192 11608022 11960320 12721120 12857344 13642240 13675204 14090240 14665408 15147008 16071680 17094005 17277056 18331760 18933760 19136512 19706642 20353792 20971520 21596320 21827584 22544384 23216044 23920640 25442240 25714688 27284480 27350408 28180480 29020055 29330816 30294016 32143360 34188010 34554112 36663520 37867520 38273024 39413284 40707584 43192640 43655168 45088768 46432088 47841280 49266605 50884480 51429376 54568960 54700816 56360960 58040110 58661632 60588032 64286720 68376020 69108224 73327040 75735040 76546048 78826568 81415168 86385280 87310336 90177536 92864176 95682560 98533210 101768960 102858752 109137920 109401632 112721920 116080220 117323264 121176064 128573440 136752040 138216448 146654080 151470080 153092096 157653136 162830336 172770560 174620672 180355072 185728352 191365120 197066420 203537920 205717504 218275840 218803264 225443840 232160440 234646528 242352128 249572473 257146880 273504080 276432896 293308160 302940160 306184192 315306272 325660672 345541120 349241344 371456704 382730240 394132840 407075840 411435008 423692803 436551680 437606528 450887680 464320880 469293056 484704256 499144946 514293760 547008160 552865792 586616320 605880320 630612544 651321344 691082240 698482688 742913408 765460480 788265680 814151680 822870016 847385606 873103360 875213056 901775360 928641760 938586112 969408512 998289892 1028587520 1094016320 1105731584 1173232640 1211760640 1247862365 1261225088 1302642688 1382164480 1396965376 1485826816 1530920960 1576531360 1628303360 1645740032 1694771212 1746206720 1750426112 1857283520 1877172224 1938817024 1996579784 2057175040 2118464015 2188032640 2211463168 2346465280 2423521280 2495724730 2522450176 2605285376 2764328960 2793930752 2971653632 3153062720 3256606720 3291480064 3389542424 3492413440 3500852224 3714567040 3754344448 3877634048 3993159568 4114350080 4236928030 4376065280 4422926336 4692930560 4847042560 4991449460 5044900352 5210570752 5528657920 5587861504 5943307264 6306125440 6513213440 6582960128 6779084848 6984826880 7001704448 7429134080 7508688896 7755268096 7986319136 8228700160 8473856060 8752130560 8845852672 9385861120 9694085120 9982898920 10089800704 10421141504 11057315840 11175723008 11886614528 12612250880 13026426880 13165920256 13558169696 13969653760 14003408896 14858268160 15017377792 15972638272 16457400320 16947712120 17504261120 17691705344 18218790529 18771722240 19388170240 19965797840 20179601408 20842283008 22114631680 22351446016 23773229056 25224501760 26052853760 27116339392 27939307520 28006817792 29716536320 30034755584 31945276544 32914800640 33895424240 35008522240 35383410688 36437581058 37543444480 38776340480 39931595680 40359202816 41684566016 44229263360 47546458112 50449003520 52105707520 54232678784 55878615040 56013635584 59433072640 60069511168 63890553088 65829601280 67790848480 70017044480 70766821376 72875162116 75086888960 79863191360 80718405632 83369132032 88458526720 91093952645 95092916224 100898007040 104211415040 108465357568 111757230080 112027271168 118866145280 120139022336 127781106176 135581696960 140034088960 141533642752 145750324232 150173777920 159726382720 161436811264 166738264064 176917053440 182187905290 190185832448 201796014080 208422830080 216930715136 224054542336 237732290560 240278044672 255562212352 271163393920 280068177920 283067285504 291500648464 300347555840 319452765440 322873622528 333476528128 353834106880 364375810580 380371664896 403592028160 416845660160 433861430272 448109084672 475464581120 480556089344 511124424704 542326787840 560136355840 566134571008 583001296928 600695111680 638905530880 645747245056 707668213760 728751621160 760743329792 807184056320 833691320320 867722860544 896218169344 950929162240 961112178688 1022248849408 1084653575680 1120272711680 1166002593856 1201390223360 1277811061760 1291494490112 1415336427520 1457503242320 1521486659584 1614368112640 1667382640640 1735445721088 1792436338688 1901858324480 2044497698816 2169307151360 2240545423360 2332005187712 2402780446720 2555622123520 2582988980224 2830672855040 2915006484640 3042973319168 3228736225280 3470891442176 3584872677376 3803716648960 4088995397632 4338614302720 4481090846720 4664010375424 4805560893440 5111244247040 5165977960448 5830012969280 6085946638336 6457472450560 6941782884352 7169745354752 7607433297920 8177990795264 8677228605440 8962181693440 9328020750848 10222488494080 10331955920896 11660025938560 12171893276672 12914944901120 13883565768704 14339490709504 15214866595840 16355981590528 17354457210880 17924363386880 18656041501696 20444976988160 20663911841792 23320051877120 24343786553344 25829889802240 27767131537408 30429733191680 32711963181056 34708914421760 35848726773760 37312083003392 40889953976320 41327823683584 46640103754240 51659779604480 55534263074816 60859466383360 65423926362112 69417828843520 71697453547520 74624166006784 81779907952640 93280207508480 103319559208960 111068526149632 121718932766720 130847852724224 138835657687040 149248332013568 163559815905280 186560415016960 206639118417920 222137052299264 261695705448448 277671315374080 298496664027136 327119631810560 373120830033920 444274104598528 523391410896896 555342630748160 596993328054272 654239263621120 746241660067840 888548209197056 1046782821793792 1110685261496320 1193986656108544 1308478527242240 1492483320135680 1777096418394112 2221370522992640 2387973312217088 2616957054484480 2984966640271360 4442741045985280 4775946624434176 5233914108968960 5969933280542720 8885482091970560 9551893248868352 11939866561085440 19103786497736704 23879733122170880 38207572995473408 47759466244341760 76415145990946816 95518932488683520 191037864977367040 382075729954734080
• Sum of all divisors σ(n): 951851176355206926
• Sum of proper divisors (its aliquot sum) s(n): 569775446400472846
• 382075729954734080 is an abundant number, because the sum of its proper divisors (569775446400472846) is greater than itself. Its abundance is 187699716445738766

Bases of 382075729954734080

• Binary: 10101001101011001111101101000100001010000000000000000000000₂
• Hexadecimal: 0x54D67DA21400000
• Base-36: 2WI2JJ7S1CZK

Squares and roots of 382075729954734080

• 382075729954734080 squared (382075729954734080²) is 145981863420442881145805803513446400
• 382075729954734080 cubed (382075729954734080³) is 55776127026518007386046294993121044258496616333312000
• The square root of 382075729954734080 is 618122746.6731297051
• The cube root of 382075729954734080 is 725632.0955638459

Scales and comparisons

• 382,075,729,954,734,080 seconds is equal to 12,148,826,374 years, 38 weeks, 21 minutes, 20 seconds.
• To count from 1 to 382,075,729,954,734,080 would take you about thirty-six billion, four hundred forty-six million, four hundred seventy-nine thousand, one hundred twenty-four 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 382075729954734080 cubic inches would be around 60469.3 feet tall.

Recreational maths with 382075729954734080

• 382075729954734080 backwards is 080437459927570283
• The number of decimal digits it has is: 18
• The sum of 382075729954734080's digits is 83
• More coming soon!