47346345035948448

Names of 47346345035948448

• Cardinal: 47346345035948448 can be written as Forty-seven quadrillion, three hundred forty-six trillion, three hundred forty-five billion, thirty-five million, nine hundred forty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.7346345035948448 × 10¹⁶

Factors of 47346345035948448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1126

Divisors of 47346345035948448

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 53 56 63 72 84 96 98 106 112 126 144 147 159 168 196 212 224 252 288 294 318 336 371 392 424 441 477 504 588 636 672 742 784 848 882 954 1008 1061 1113 1176 1272 1484 1568 1696 1764 1908 2016 2122 2226 2352 2544 2597 2809 2968 3183 3339 3528 3816 4244 4452 4704 5088 5194 5618 5936 6366 6678 7056 7427 7632 7791 8427 8488 8904 9549 10388 11236 11872 12732 13356 14112 14854 15264 15582 16854 16976 17808 19098 19663 20776 22281 22472 23373 25281 25464 26712 29708 31164 33708 33952 35616 38196 39326 41552 44562 44944 46746 50562 50928 51989 53424 56233 58989 59416 62328 66843 67416 76392 78652 83104 89124 89888 93492 101124 101856 103978 106848 112466 117978 118832 124656 133686 134832 137641 152784 155967 157304 168699 176967 178248 186984 202248 207956 224932 235956 237664 249312 267372 269664 275282 305568 311934 314608 337398 353934 356496 373968 393631 404496 412923 415912 449864 467901 471912 506097 534744 550564 623868 629216 674796 707868 712992 747936 787262 808992 825846 831824 899728 935802 943824 1012194 1069488 1101128 1125721 1180893 1238769 1247736 1349592 1415736 1574524 1651692 1663648 1799456 1871604 1887648 2024388 2138976 2202256 2251442 2361786 2477538 2495472 2699184 2755417 2831472 2980349 3149048 3303384 3377163 3542679 3743208 4048776 4404512 4502884 4723572 4955076 4990944 5398368 5510834 5662944 5960698 6298096 6606768 6754326 7085358 7486416 7880047 8097552 8266251 8941047 9005768 9447144 9910152 10131489 11021668 11921396 12596192 13213536 13508652 14170716 14972832 15760094 16195104 16532502 17882094 18011536 18894288 19820304 20262978 20862443 22043336 23640141 23842792 24798753 26823141 27017304 28341432 31520188 33065004 35764188 36023072 37788576 39640608 40525956 41724886 44086672 47280282 47685584 49597506 53646282 54034608 55160329 56682864 59663213 62587329 63040376 66130008 70920423 71528376 81051912 83449772 88173344 94560564 95371168 99195012 107292564 108069216 110320658 113365728 119326426 125174658 126080752 132260016 141840846 143056752 146037101 162103824 165480987 166899544 178989639 187761987 189121128 198390024 214585128 220641316 238652852 250349316 252161504 264520032 283681692 286113504 292074202 324207648 330961974 333799088 357979278 375523974 378242256 396780048 417642491 429170256 438111303 441282632 477305704 496442961 500698632 536968917 567363384 584148404 661923948 667598176 715958556 751047948 756484512 793560096 835284982 858340512 876222606 882565264 954611408 992885922 1001397264 1073937834 1134726768 1168296808 1194389981 1252927473 1314333909 1323847896 1431917112 1502095896 1670569964 1752445212 1765130528 1909222816 1985771844 2002794528 2147875668 2269453536 2336593616 2388779962 2505854946 2628667818 2647695792 2863834224 2923497437 3004191792 3162150289 3341139928 3504890424 3583169943 3758782419 3971543688 4295751336 4673187232 4777559924 5011709892 5257335636 5295391584 5727668448 5846994874 6008383584 6324300578 6682279856 7009780848 7166339886 7517564838 7943087376 8360729867 8591502672 8770492311 9486450867 9555119848 10023419784 10514671272 10749509829 11693989748 12648601156 13364559712 14019561696 14332679772 15035129676 15886174752 16721459734 17183005344 17540984622 18972901734 19110239696 20046839568 21029342544 21499019658 22135052023 23387979496 25082189601 25297202312 26311476933 28459352601 28665359544 30070259352 33442919468 35081969244 37945803468 38220479392 40093679136 42058685088 42998039316 44270104046 46775958992 50164379202 50594404624 52622953866 56918705202 57330719088 58525109069 60140518704 63302668993 66405156069 66885838936 70163938488 75246568803 75891606936 85996078632 88540208092 93551917984 100328758404 101188809248 105245907732 113837410404 114661438176 117050218138 120281037408 126605337986 132810312138 133771677872 140327876976 150493137606 151783213872 154945364161 171992157264 175575327207 177080416184 189908006979 199215468207 200657516808 210491815464 227674820808 234100436276 253210675972 265620624276 267543355744 280655753952 300986275212 303566427744 309890728322 343984314528 351150654414 354160832368 379816013958 398430936414 401315033616 420983630928 443118682951 455349641616 464836092483 468200872552 506421351944 526725981621 531241248552 569724020937 601972550424 619781456644 702301308828 708321664736 759632027916 796861872828 802630067232 841967261856 886237365902 910699283232 929672184966 936401745104 1012842703888 1053451963242 1062482497104 1139448041874 1203945100848 1239562913288 1329356048853 1394508277449 1404602617656 1519264055832 1593723745656 1772474731804 1859344369932 1872803490208 2025685407776 2106903926484 2124964994208 2278896083748 2407890201696 2479125826576 2658712097706 2789016554898 2809205235312 3038528111664 3101830780657 3187447491312 3355041456629 3544949463608 3718688739864 3988068146559 4213807852968 4557792167496 4958251653152 5317424195412 5578033109796 5618410470624 6077056223328 6203661561314 6374894982624 6710082913258 7089898927216 7437377479728 7976136293118 8427615705936 9115584334992 9305492341971 10065124369887 10634848390824 11156066219592 12407323122628 13420165826516 14179797854432 14874754959456 15952272586236 16855231411872 18231168669984 18610984683942 20130248739774 21269696781648 22312132439184 23485290196403 24814646245256 26840331653032 27916477025913 30195373109661 31904545172472 37221969367884 40260497479548 42539393563296 44624264878368 46970580392806 49629292490512 53680663306064 55832954051826 60390746219322 63809090344944 70455870589209 74443938735768 80520994959096 93941160785612 99258584981024 107361326612128 111665908103652 120781492438644 127618180689888 140911741178418 148887877471536 161041989918192 164397031374821 187882321571224 211367611767627 223331816207304 241562984877288 281823482356836 297775754943072 322083979836384 328794062749642 375764643142448 422735223535254 446663632414608 483125969754576 493191094124463 563646964713672 657588125499284 751529286284896 845470447070508 893327264829216 966251939509152 986382188248926 1127293929427344 1315176250998568 1479573282373389 1690940894141016 1972764376497852 2254587858854688 2630352501997136 2959146564746778 3381881788282032 3945528752995704 5260705003994272 5918293129493556 6763763576564064 7891057505991408 11836586258987112 15782115011982816 23673172517974224 47346345035948448
• Sum of all divisors σ(n): 159784914935583756
• Sum of proper divisors (its aliquot sum) s(n): 112438569899635308
• 47346345035948448 is an abundant number, because the sum of its proper divisors (112438569899635308) is greater than itself. Its abundance is 65092224863686860

Bases of 47346345035948448

• Binary: 10101000001101010011111111111101010001111110000110100000₂
• Hexadecimal: 0xA8353FFD47E1A0
• Base-36: CY6VMN00140

Squares and roots of 47346345035948448

• 47346345035948448 squared (47346345035948448²) is 2241676388263080243737410913608704
• 47346345035948448 cubed (47346345035948448³) is 106135183737642535058978696984304536469374988091392
• The square root of 47346345035948448 is 217592152.9742018247
• The cube root of 47346345035948448 is 361766.8926376261

Scales and comparisons

• 47,346,345,035,948,448 seconds is equal to 1,505,467,320 years, 14 weeks, 4 days, 17 hours, 40 minutes, 48 seconds.
• To count from 1 to 47,346,345,035,948,448 would take you about four billion, five hundred sixteen million, four hundred one thousand, nine hundred sixty 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 47346345035948448 cubic inches would be around 30147.2 feet tall.

Recreational maths with 47346345035948448

• 47346345035948448 backwards is 84484953054364374
• The number of decimal digits it has is: 17
• The sum of 47346345035948448's digits is 81
• More coming soon!