22142036746636416

Names of 22142036746636416

• Cardinal: 22142036746636416 can be written as Twenty-two quadrillion, one hundred forty-two trillion, thirty-six billion, seven hundred forty-six million, six hundred thirty-six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 2.2142036746636416 × 10¹⁶

Factors of 22142036746636416

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 5028

Divisors of 22142036746636416

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 48 54 58 64 72 74 81 87 96 108 111 116 128 144 148 162 174 192 216 222 232 243 261 288 296 324 333 348 384 432 444 464 486 522 576 592 648 666 696 729 783 864 888 928 972 999 1044 1073 1152 1184 1296 1332 1392 1458 1566 1728 1776 1856 1944 1998 2088 2146 2187 2349 2368 2592 2664 2784 2916 2997 3132 3219 3456 3552 3712 3888 3996 4176 4292 4374 4698 4736 4957 5184 5328 5568 5832 5994 6264 6438 6561 7047 7104 7776 7992 8352 8584 8748 8991 9396 9657 9914 10368 10656 11136 11664 11988 12528 12876 13122 14094 14208 14871 15552 15984 16704 17168 17496 17982 18792 19314 19828 21141 21312 23328 23976 25056 25752 26244 26973 28188 28971 29742 31104 31968 33408 34336 34992 35964 37584 38628 39656 42282 42624 44613 46656 47952 50112 51504 52488 53946 56376 57942 59484 63423 63936 68672 69984 71928 75168 77256 79312 80919 84564 86913 89226 93312 95904 100224 103008 104976 107892 112752 115884 118968 126846 127872 133839 137344 139968 143753 143856 150336 154512 158624 161838 169128 173826 178452 183409 190269 191808 206016 209952 215784 225504 231768 237936 242757 253692 260739 267678 279936 287506 287712 300672 309024 317248 323676 338256 347652 356904 366818 380538 383616 401517 412032 419904 431259 431568 451008 463536 475872 485514 507384 521478 535356 550227 575012 575424 618048 634496 647352 676512 695304 713808 733636 761076 782217 803034 839808 862518 863136 902016 927072 951744 971028 1014768 1042956 1070712 1100454 1150024 1150848 1204551 1236096 1293777 1294704 1353024 1390608 1427616 1467272 1522152 1564434 1606068 1650681 1725036 1726272 1854144 1903488 1942056 2029536 2085912 2141424 2200908 2300048 2346651 2409102 2587554 2589408 2706048 2781216 2855232 2934544 3044304 3128868 3212136 3301362 3450072 3452544 3613653 3708288 3881331 3884112 4059072 4171824 4282848 4401816 4600096 4693302 4818204 4952043 5175108 5178816 5318861 5562432 5710464 5869088 6088608 6257736 6424272 6602724 6900144 7039953 7227306 7762662 7768224 8118144 8343648 8565696 8803632 9200192 9386604 9636408 9904086 10350216 10357632 10637722 10840959 11124864 11643993 11738176 12177216 12515472 12848544 13205448 13800288 14079906 14454612 14856129 15525324 15536448 15956583 16687296 17131392 17607264 18400384 18773208 19272816 19808172 20700432 21275444 21681918 23287986 23476352 24354432 24571849 25030944 25697088 26410896 27600576 28159812 28909224 29712258 31050648 31072896 31913166 32522877 33374592 34931979 35214528 37546416 38545632 39616344 41400864 42550888 43363836 44568387 46575972 47869749 49143698 50061888 51394176 52821792 55201152 56319624 57818448 59424516 62101296 63826332 65045754 69863958 70429056 73715547 75092832 77091264 79232688 82801728 85101776 86727672 89136774 93151944 95739498 98287396 100123776 104795937 105643584 112639248 115636896 118849032 124202592 127652664 130091508 133705161 139727916 143609247 147431094 150185664 154182528 158465376 165603456 170203552 173455344 178273548 186303888 191478996 196574792 209591874 211287168 221146641 225278496 231273792 237698064 248405184 255305328 260183016 267410322 279455832 287218494 294862188 300371328 314387811 316930752 340407104 346910688 356547096 372607776 382957992 393149584 401115483 419183748 430827741 442293282 450556992 462547584 475396128 496810368 510610656 520366032 534820644 558911664 574436988 589724376 628775622 633861504 663439923 680814208 693821376 712583621 713094192 745215552 765915984 786299168 802230966 838367496 861655482 884586564 901113984 909158413 943163433 950792256 1021221312 1040732064 1069641288 1117823328 1148873976 1179448752 1203346449 1257551244 1292483223 1326879846 1387642752 1425167242 1426188384 1490431104 1531831968 1572598336 1604461932 1676734992 1723310964 1769173128 1818316826 1886326866 1901584512 1990319769 2042442624 2081464128 2137750863 2139282576 2235646656 2297747952 2358897504 2406692898 2515102488 2584966446 2653759692 2727475239 2850334484 2852376768 3063663936 3145196672 3208923864 3353469984 3446621928 3538346256 3636633652 3772653732 3877449669 3980639538 4162928256 4275501726 4278565152 4471293312 4595495904 4717795008 4813385796 5030204976 5169932892 5307519384 5454950478 5700668968 5704753536 5970959307 6127327872 6413252589 6417847728 6706939968 6893243856 7076692512 7273267304 7545307464 7754899338 7961279076 8182425717 8551003452 8557130304 9190991808 9435590016 9626771592 10060409952 10339865784 10615038768 10909900956 11401337936 11632349007 11941918614 12826505178 12835695456 13413879936 13786487712 14153385024 14546534608 15090614928 15509798676 15922558152 16364851434 17102006904 17114260608 17912877921 18381983616 19239757767 19253543184 20120819904 20679731568 21230077536 21819801912 22802675872 23264698014 23883837228 24547277151 25653010356 25671390912 26365593977 27572975424 28306770048 29093069216 30181229856 31019597352 31845116304 32729702868 34204013808 34897047021 35825755842 38479515534 38507086368 40241639808 41359463136 42460155072 43639603824 45605351744 46529396028 47767674456 49094554302 51306020712 51342781824 52731187954 53738633763 55145950848 57719273301 58186138432 60362459712 62039194704 63690232608 65459405736 68408027616 69794094042 71651511684 73641831453 76959031068 77014172736 79096781931 82718926272 84920310144 87279207648 91210703488 93058792056 95535348912 98189108604 102612041424 105462375908 107477267526 115438546602 116372276864 120724919424 124078389408 127380465216 130918811472 136816055232 139588188084 143303023368 147283662906 153918062136 154028345472 158193563862 161215901289 165437852544 173157819903 174558415296 186117584112 191070697824 196378217208 205224082848 210924751816 214954535052 220925494359 230877093204 237290345793 248156778816 254760930432 261837622944 273632110464 279176376168 286606046736 294567325812 307836124272 316387127724 322431802578 346315639806 349116830592 372235168224 382141395648 392756434416 410448165696 421849503632 429909070104 441850988718 461754186408 474580691586 496313557632 519473459709 523675245888 558352752336 573212093472 589134651624 615672248544 632774255448 644863605156 662776483077 692631279612 711871037379 744470336448 764282791296 785512868832 820896331392 843699007264 859818140208 883701977436 923508372816 949161383172 1038946919418 1047350491776 1116705504672 1146424186944 1178269303248 1231344497088 1265548510896 1289727210312 1325552966154 1385262559224 1423742074758 1488940672896 1558420379127 1571025737664 1687398014528 1719636280416 1767403954872 1847016745632 1898322766344 1988329449231 2077893838836 2135613112137 2233411009344 2292848373888 2356538606496 2462688994176 2531097021792 2579454420624 2651105932308 2770525118448 2847484149516 3116840758254 3142051475328 3374796029056 3439272560832 3534807909744 3694033491264 3796645532688 3976658898462 4155787677672 4271226224274 4466822018688 4675261137381 4713077212992 5062194043584 5158908841248 5302211864616 5541050236896 5694968299032 5964988347693 6233681516508 6406839336411 6878545121664 7069615819488 7388066982528 7593291065376 7953317796924 8311575355344 8542452448548 9350522274762 9426154425984 10124388087168 10317817682496 10604423729232 11082100473792 11389936598064 11929976695386 12467363033016 12813678672822 14139231638976 15186582130752 15906635593848 16623150710688 17084904897096 18701044549524 19220518009233 20635635364992 21208847458464 22164200947584 22779873196128 23859953390772 24934726066032 25627357345644 28278463277952 30373164261504 31813271187696 33246301421376 34169809794192 37402089099048 38441036018466 42417694916928 45559746392256 47719906781544 49869452132064 51254714691288 57661554027699 63626542375392 66492602842752 68339619588384 74804178198096 76882072036932 84835389833856 91119492784512 95439813563088 99738904264128 102509429382576 115323108055398 127253084750784 136679239176768 149608356396192 153764144073864 172984662083097 190879627126176 199477808528256 205018858765152 230646216110796 254506169501568 273358478353536 299216712792384 307528288147728 345969324166194 381759254252352 410037717530304 461292432221592 598433425584768 615056576295456 691938648332388 763518508504704 820075435060608 922584864443184 1230113152590912 1383877296664776 1845169728886368 2460226305181824 2767754593329552 3690339457772736 5535509186659104 7380678915545472 11071018373318208 22142036746636416
• Sum of all divisors σ(n): 70308805979610900
• Sum of proper divisors (its aliquot sum) s(n): 48166769232974484
• 22142036746636416 is an abundant number, because the sum of its proper divisors (48166769232974484) is greater than itself. Its abundance is 26024732486338068

Bases of 22142036746636416

• Binary: 1001110101010100001000010101010111000110000110010000000₂
• Hexadecimal: 0x4EAA10AAE30C80
• Base-36: 620P398I000

Squares and roots of 22142036746636416

• 22142036746636416 squared (22142036746636416²) is 490269791289397361431889697325056
• 22142036746636416 cubed (22142036746636416³) is 10855571734495602636513577965563245372120598839296
• The square root of 22142036746636416 is 148802005.1835203463
• The cube root of 22142036746636416 is 280805.6589758945

Scales and comparisons

• 22,142,036,746,636,416 seconds is equal to 704,048,278 years, 37 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 22,142,036,746,636,416 would take you about two billion, one hundred twelve million, one hundred forty-four thousand, eight hundred thirty-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 22142036746636416 cubic inches would be around 23400.5 feet tall.

Recreational maths with 22142036746636416

• 22142036746636416 backwards is 61463664763024122
• The number of decimal digits it has is: 17
• The sum of 22142036746636416's digits is 63
• More coming soon!