13842713954746368

Names of 13842713954746368

• Cardinal: 13842713954746368 can be written as Thirteen quadrillion, eight hundred forty-two trillion, seven hundred thirteen billion, nine hundred fifty-four million, seven hundred forty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3842713954746368 × 10¹⁶

Factors of 13842713954746368

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 42
• Sum of prime factors: 55

Divisors of 13842713954746368

• Number of divisors d(n): 684
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 93 96 114 124 128 144 152 171 186 192 228 248 256 279 288 304 342 361 372 384 456 496 512 558 576 589 608 684 722 744 768 912 992 1024 1083 1116 1152 1178 1216 1368 1444 1488 1536 1767 1824 1984 2048 2166 2232 2304 2356 2432 2736 2888 2976 3072 3249 3534 3648 3968 4096 4332 4464 4608 4712 4864 5301 5472 5776 5952 6144 6498 7068 7296 7936 8192 8664 8928 9216 9424 9728 10602 10944 11191 11552 11904 12288 12996 14136 14592 15872 16384 17328 17856 18432 18848 19456 21204 21888 22382 23104 23808 24576 25992 28272 29184 31744 32768 33573 34656 35712 36864 37696 38912 42408 43776 44764 46208 47616 49152 51984 56544 58368 63488 65536 67146 69312 71424 73728 75392 77824 84816 87552 89528 92416 95232 98304 100719 103968 113088 116736 126976 131072 134292 138624 142848 147456 150784 155648 169632 175104 179056 184832 190464 196608 201438 207936 226176 233472 253952 262144 268584 277248 285696 294912 301568 311296 339264 350208 358112 369664 380928 393216 402876 415872 452352 466944 507904 524288 537168 554496 571392 589824 603136 622592 678528 700416 716224 739328 761856 786432 805752 831744 904704 933888 1015808 1048576 1074336 1108992 1142784 1179648 1206272 1245184 1357056 1400832 1432448 1478656 1523712 1572864 1611504 1663488 1809408 1867776 2031616 2097152 2148672 2217984 2285568 2359296 2412544 2490368 2714112 2801664 2864896 2957312 3047424 3145728 3223008 3326976 3618816 3735552 4063232 4194304 4297344 4435968 4571136 4718592 4825088 4980736 5428224 5603328 5729792 5914624 6094848 6291456 6446016 6653952 7237632 7471104 8126464 8388608 8594688 8871936 9142272 9437184 9650176 9961472 10856448 11206656 11459584 11829248 12189696 12582912 12892032 13307904 14475264 14942208 16252928 16777216 17189376 17743872 18284544 18874368 19300352 19922944 21712896 22413312 22919168 23658496 24379392 25165824 25784064 26615808 28950528 29884416 32505856 33554432 34378752 35487744 36569088 37748736 38600704 39845888 43425792 44826624 45838336 47316992 48758784 50331648 51568128 53231616 57901056 59768832 65011712 67108864 68757504 70975488 73138176 75497472 77201408 79691776 86851584 89653248 91676672 94633984 97517568 100663296 103136256 106463232 115802112 119537664 130023424 134217728 137515008 141950976 146276352 150994944 154402816 159383552 173703168 179306496 183353344 189267968 195035136 201326592 206272512 212926464 231604224 239075328 260046848 268435456 275030016 283901952 292552704 301989888 308805632 318767104 347406336 358612992 366706688 378535936 390070272 402653184 412545024 425852928 463208448 478150656 520093696 536870912 550060032 567803904 585105408 603979776 617611264 637534208 694812672 717225984 733413376 757071872 780140544 805306368 825090048 851705856 926416896 956301312 1040187392 1073741824 1100120064 1135607808 1170210816 1207959552 1235222528 1275068416 1389625344 1434451968 1466826752 1514143744 1560281088 1610612736 1650180096 1703411712 1852833792 1912602624 2080374784 2147483648 2200240128 2271215616 2340421632 2415919104 2470445056 2550136832 2779250688 2868903936 2933653504 3028287488 3120562176 3221225472 3300360192 3406823424 3705667584 3825205248 4160749568 4294967296 4400480256 4542431232 4680843264 4831838208 4940890112 5100273664 5558501376 5737807872 5867307008 6056574976 6241124352 6442450944 6600720384 6813646848 7411335168 7650410496 8321499136 8589934592 8800960512 9084862464 9361686528 9663676416 9881780224 10200547328 11117002752 11475615744 11734614016 12113149952 12482248704 12884901888 13201440768 13627293696 14822670336 15300820992 16642998272 17179869184 17601921024 18169724928 18723373056 19327352832 19763560448 20401094656 22234005504 22951231488 23469228032 24226299904 24964497408 25769803776 26402881536 27254587392 29645340672 30601641984 33285996544 34359738368 35203842048 36339449856 37446746112 38654705664 39527120896 40802189312 44468011008 45902462976 46938456064 48452599808 49928994816 51539607552 52805763072 54509174784 59290681344 61203283968 66571993088 68719476736 70407684096 72678899712 74893492224 77309411328 79054241792 81604378624 88936022016 91804925952 93876912128 96905199616 99857989632 103079215104 105611526144 109018349568 118581362688 122406567936 133143986176 137438953472 140815368192 145357799424 149786984448 154618822656 158108483584 163208757248 177872044032 183609851904 187753824256 193810399232 199715979264 206158430208 211223052288 218036699136 237162725376 244813135872 266287972352 281630736384 290715598848 299573968896 309237645312 316216967168 326417514496 355744088064 367219703808 375507648512 387620798464 399431958528 412316860416 422446104576 436073398272 474325450752 489626271744 532575944704 563261472768 581431197696 599147937792 618475290624 632433934336 652835028992 711488176128 734439407616 751015297024 775241596928 798863917056 844892209152 872146796544 948650901504 979252543488 1065151889408 1126522945536 1162862395392 1198295875584 1236950581248 1264867868672 1305670057984 1422976352256 1468878815232 1502030594048 1550483193856 1597727834112 1689784418304 1744293593088 1897301803008 1958505086976 2130303778816 2253045891072 2325724790784 2396591751168 2529735737344 2611340115968 2845952704512 2937757630464 3004061188096 3100966387712 3195455668224 3379568836608 3488587186176 3794603606016 3917010173952 4260607557632 4506091782144 4651449581568 4793183502336 5059471474688 5691905409024 5875515260928 6008122376192 6201932775424 6390911336448 6759137673216 6977174372352 7589207212032 7834020347904 9012183564288 9302899163136 9586367004672 10118942949376 11383810818048 11751030521856 12016244752384 12403865550848 12781822672896 13518275346432 13954348744704 15178414424064 18024367128576 18605798326272 19172734009344 20237885898752 22767621636096 23502061043712 24032489504768 24807731101696 27036550692864 27908697489408 30356828848128 36048734257152 37211596652544 38345468018688 40475771797504 45535243272192 48064979009536 49615462203392 54073101385728 55817394978816 60713657696256 72097468514304 74423193305088 80951543595008 91070486544384 96129958019072 108146202771456 111634789957632 121427315392512 144194937028608 148846386610176 182140973088768 192259916038144 216292405542912 223269579915264 242854630785024 288389874057216 364281946177536 384519832076288 432584811085824 446539159830528 576779748114432 728563892355072 769039664152576 865169622171648 1153559496228864 1538079328305152 1730339244343296 2307118992457728 3460678488686592 4614237984915456 6921356977373184 13842713954746368
• Sum of all divisors σ(n): 43567048738837728
• Sum of proper divisors (its aliquot sum) s(n): 29724334784091360
• 13842713954746368 is an abundant number, because the sum of its proper divisors (29724334784091360) is greater than itself. Its abundance is 15881620829344992

Bases of 13842713954746368

• Binary: 110001001011011110000000000000000000000000000000000000₂
• Hexadecimal: 0x312DE000000000
• Base-36: 3SATZ00DFK0

Squares and roots of 13842713954746368

• 13842713954746368 squared (13842713954746368²) is 191620729632929831573395209191424
• 13842713954746368 cubed (13842713954746368³) is 2652550948108438658158578209962645897424280748032
• The square root of 13842713954746368 is 117655063.4471222747
• The cube root of 13842713954746368 is 240108.2495170615

Scales and comparisons

• 13,842,713,954,746,368 seconds is equal to 440,155,485 years, 22 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,842,713,954,746,368 would take you about one billion, three hundred twenty million, four hundred sixty-six thousand, four hundred fifty-six 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 13842713954746368 cubic inches would be around 20009 feet tall.

Recreational maths with 13842713954746368

• 13842713954746368 backwards is 86364745931724831
• The number of decimal digits it has is: 17
• The sum of 13842713954746368's digits is 81
• More coming soon!