40402173431001312

Names of 40402173431001312

• Cardinal: 40402173431001312 can be written as Forty quadrillion, four hundred two trillion, one hundred seventy-three billion, four hundred thirty-one million, one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.0402173431001312 × 10¹⁶

Factors of 40402173431001312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 844

Divisors of 40402173431001312

• 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 56 63 72 84 96 98 112 126 144 147 168 191 196 224 252 288 294 336 382 392 441 504 573 588 641 672 764 784 882 1008 1146 1176 1282 1337 1528 1568 1719 1764 1923 2016 2292 2352 2564 2674 3056 3438 3528 3846 4011 4487 4584 4704 5128 5348 5769 6112 6876 7056 7692 8022 8974 9168 9359 10256 10696 11538 12033 13461 13752 14112 15384 16044 17948 18336 18718 20512 21392 23076 24066 26922 27504 28077 30768 31409 32088 35896 36481 37436 40383 42784 46152 48132 53844 55008 56154 61536 62818 64176 71792 72962 74872 80766 84231 92304 94227 96264 107688 109443 112308 122431 125636 128352 143584 145924 149744 161532 168462 184608 188454 192528 215376 218886 224616 244862 251272 255367 282681 291848 299488 323064 328329 336924 367293 376908 385056 410881 430752 437772 449232 489724 502544 510734 565362 583696 646128 656658 673848 734586 753816 766101 821762 857017 875544 898464 979448 1005088 1021468 1101879 1130724 1167392 1232643 1292256 1313316 1347696 1469172 1507632 1532202 1643524 1714034 1751088 1787569 1958896 2042936 2203758 2261448 2298303 2465286 2571051 2626632 2695392 2876167 2938344 3015264 3064404 3287048 3428068 3502176 3575138 3697929 3917792 4085872 4407516 4522896 4596606 4930572 5142102 5253264 5362707 5752334 5876688 5999119 6128808 6574096 6856136 6967871 7150276 7395858 7713153 8171744 8628501 8815032 9045792 9193212 9861144 10284204 10506528 10725414 11504668 11753376 11998238 12257616 13148192 13712272 13935742 14300552 14791716 15426306 16088121 17257002 17630064 17997357 18386424 19722288 20133169 20568408 20903613 21450828 23009336 23384321 23996476 24515232 25885503 27424544 27871484 28601104 29583432 30852612 32176242 34514004 35260128 35994714 36772848 39444576 40266338 41136816 41807226 42901656 46018672 46768642 47992952 48775097 51771006 53992071 55742968 57202208 59166864 60399507 61705224 62710839 64352484 69028008 70152963 71989428 73545696 78478271 80532676 82273632 83614452 85803312 92037344 93537284 95985904 97550194 103542012 107984142 111485936 118333728 120799014 123410448 125421678 128704968 138056016 140305926 143978856 146325291 156956542 161065352 163690247 167228904 171606624 181198521 187074568 191971808 195100388 207084024 210458889 215968284 222971872 235434813 241598028 246820896 250843356 257409936 276112032 280611852 287957712 292650582 313913084 322130704 327380494 334457808 341425679 362397042 374149136 390200776 414168048 420917778 431936568 438975873 470869626 483196056 491070741 501686712 514819872 549347897 561223704 575915424 585301164 627826168 644261408 654760988 668915616 682851358 706304439 724794084 748298272 780401552 828336096 841835556 863873136 877951746 941739252 966392112 982141482 1003373424 1024277037 1098695794 1122447408 1145831729 1170602328 1255652336 1309521976 1365702716 1412608878 1449588168 1473212223 1560803104 1648043691 1683671112 1727746272 1755903492 1883478504 1932784224 1964282964 2006746848 2048554074 2197391588 2244894816 2291663458 2341204656 2511304672 2619043952 2731405432 2825217756 2899176336 2946424446 3072831111 3296087382 3367342224 3437495187 3511806984 3766957008 3845435279 3928565928 4097108148 4394783176 4466405311 4583326916 4682409312 4944131073 5238087904 5462810864 5650435512 5798352672 5892848892 6145662222 6592174764 6734684448 6874990374 7023613968 7533914016 7690870558 7857131856 8194216296 8789566352 8932810622 9166653832 9888262146 10312485561 10925621728 11300871024 11536305837 11785697784 12291324444 13184349528 13399215933 13749980748 14047227936 14989349761 15381741116 15714263712 16388432592 17579132704 17865621244 18333307664 19776524292 20624971122 22601742048 23072611674 23571395568 24582648888 26368699056 26798431866 27499961496 29978699522 30763482232 31264837177 32776865184 34608917511 35731242488 36666615328 39553048584 40197647799 41249942244 44968049283 46145223348 47142791136 49165297776 52737398112 53596863732 54999922992 59957399044 61526964464 62529674354 69217835022 71462484976 79106097168 80395295598 82499884488 89936098566 92290446696 93794511531 98330595552 104925448327 107193727464 109999845984 119914798088 123053928928 125059348708 134904147849 138435670044 142924969952 158212194336 160790591196 164999768976 179872197132 184580893392 187589023062 209850896654 214387454928 218853860239 239829596176 250118697416 269808295698 276871340088 281383534593 314776344981 321581182392 329999537952 359744394264 369161786784 375178046124 419701793308 428774909856 437707720478 479659192352 500237394832 539616591396 553742680176 562767069186 629552689962 643162364784 656561580717 719488788528 734478138289 750356092248 839403586616 875415440956 944329034943 1000474789664 1079233182792 1107485360352 1125534138372 1259105379924 1286324729568 1313123161434 1438977577056 1468956276578 1500712184496 1678807173232 1750830881912 1888658069886 1969684742151 2158466365584 2203434414867 2251068276744 2518210759848 2626246322868 2862965804351 2937912553156 3001424368992 3357614346464 3501661763824 3777316139772 3939369484302 4316932731168 4406868829734 4502136553488 5036421519696 5252492645736 5725931608702 5875825106312 6610303244601 7003323527648 7554632279544 7878738968604 8588897413053 8813737659468 9004273106976 10072843039392 10504985291472 11451863217404 11751650212624 13220606489202 15109264559088 15757477937208 17177794826106 17627475318936 20040760630457 21009970582944 22903726434808 23503300425248 25766692239159 26441212978404 30218529118176 31514955874416 34355589652212 35254950637872 40081521260914 45807452869616 51533384478318 52882425956808 60122281891371 63029911748832 68711179304424 70509901275744 80163042521828 91614905739232 103066768956636 105764851913616 120244563782742 137422358608848 140285324413199 160326085043656 180366845674113 206133537913272 211529703827232 240489127565484 274844717217696 280570648826398 320652170087312 360733691348226 412267075826544 420855973239597 480978255130968 561141297652796 641304340174624 721467382696452 824534151653088 841711946479194 961956510261936 1122282595305592 1262567919718791 1442934765392904 1683423892958388 1923913020523872 2244565190611184 2525135839437582 2885869530785808 3366847785916776 4489130381222368 5050271678875164 5771739061571616 6733695571833552 10100543357750328 13467391143667104 20201086715500656 40402173431001312
• Sum of all divisors σ(n): 134565192829581696
• Sum of proper divisors (its aliquot sum) s(n): 94163019398580384
• 40402173431001312 is an abundant number, because the sum of its proper divisors (94163019398580384) is greater than itself. Its abundance is 53760845967579072

Bases of 40402173431001312

• Binary: 10001111100010011001000000001011100000100011000011100000₂
• Hexadecimal: 0x8F89900B8230E0
• Base-36: B1TDI8RM2G0

Squares and roots of 40402173431001312

• 40402173431001312 squared (40402173431001312²) is 1632335617948708327064082945721344
• 40402173431001312 cubed (40402173431001312³) is 65949906733964411916807698929328207763236050403328
• The square root of 40402173431001312 is 201002918.9613954637
• The cube root of 40402173431001312 is 343137.5474517075

Scales and comparisons

• 40,402,173,431,001,312 seconds is equal to 1,284,664,142 years, 50 weeks, 5 days, 23 hours, 55 minutes, 12 seconds.
• To count from 1 to 40,402,173,431,001,312 would take you about three billion, eight hundred fifty-three million, nine hundred ninety-two thousand, four hundred twenty-eight 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 40402173431001312 cubic inches would be around 28594.8 feet tall.

Recreational maths with 40402173431001312

• 40402173431001312 backwards is 21310013437120404
• 40402173431001312 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40402173431001312's digits is 36
• More coming soon!