42291737791561728

Names of 42291737791561728

• Cardinal: 42291737791561728 can be written as Forty-two quadrillion, two hundred ninety-one trillion, seven hundred thirty-seven billion, seven hundred ninety-one million, five hundred sixty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.2291737791561728 × 10¹⁶

Factors of 42291737791561728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 33
• Sum of prime factors: 163

Divisors of 42291737791561728

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 97 122 128 144 183 192 194 244 256 288 291 366 384 388 488 512 549 576 582 732 768 776 873 976 1024 1098 1152 1164 1464 1536 1552 1746 1952 2048 2196 2304 2328 2928 3072 3104 3492 3721 3904 4096 4392 4608 4656 5856 5917 6144 6208 6984 7442 7808 8192 8784 9216 9312 9409 11163 11712 11834 12288 12416 13968 14884 15616 16384 17568 17751 18432 18624 18818 22326 23424 23668 24576 24832 27936 28227 29768 31232 32768 33489 35136 35502 36864 37248 37636 44652 46848 47336 49152 49664 53253 55872 56454 59536 62464 65536 66978 70272 71004 73728 74496 75272 84681 89304 93696 94672 98304 99328 106506 111744 112908 119072 124928 131072 133956 140544 142008 147456 148992 150544 169362 178608 187392 189344 196608 198656 213012 223488 225816 238144 249856 262144 267912 281088 284016 294912 297984 301088 338724 357216 360937 374784 378688 393216 397312 426024 446976 451632 476288 499712 524288 535824 562176 568032 573949 589824 595968 602176 677448 714432 721874 749568 757376 786432 794624 852048 893952 903264 952576 999424 1048576 1071648 1082811 1124352 1136064 1147898 1179648 1191936 1204352 1354896 1428864 1443748 1499136 1514752 1572864 1589248 1704096 1721847 1787904 1806528 1905152 1998848 2097152 2143296 2165622 2248704 2272128 2295796 2359296 2383872 2408704 2709792 2857728 2887496 2998272 3029504 3145728 3178496 3248433 3408192 3443694 3575808 3613056 3810304 3997696 4194304 4286592 4331244 4497408 4544256 4591592 4718592 4767744 4817408 5165541 5419584 5715456 5774992 5996544 6059008 6291456 6356992 6496866 6816384 6887388 7151616 7226112 7620608 7995392 8388608 8573184 8662488 8994816 9088512 9183184 9437184 9535488 9634816 10331082 10839168 11430912 11549984 11993088 12118016 12582912 12713984 12993732 13632768 13774776 14303232 14452224 15241216 15990784 16777216 17146368 17324976 17989632 18177024 18366368 18874368 19070976 19269632 20662164 21678336 22861824 23099968 23986176 24236032 25165824 25427968 25987464 27265536 27549552 28606464 28904448 30482432 31981568 33554432 34292736 34649952 35010889 35979264 36354048 36732736 37748736 38141952 38539264 41324328 43356672 45723648 46199936 47972352 48472064 50331648 50855936 51974928 54531072 55099104 57212928 57808896 60964864 63963136 67108864 68585472 69299904 70021778 71958528 72708096 73465472 75497472 76283904 77078528 82648656 86713344 91447296 92399872 95944704 96944128 100663296 101711872 103949856 105032667 109062144 110198208 114425856 115617792 121929728 127926272 134217728 137170944 138599808 140043556 143917056 145416192 146930944 150994944 152567808 154157056 165297312 173426688 182894592 184799744 191889408 193888256 201326592 203423744 207899712 210065334 218124288 220396416 228851712 231235584 243859456 255852544 274341888 277199616 280087112 287834112 290832384 293861888 301989888 305135616 308314112 315098001 330594624 346853376 365789184 369599488 383778816 387776512 402653184 406847488 415799424 420130668 436248576 440792832 457703424 462471168 487718912 511705088 548683776 554399232 560174224 575668224 581664768 587723776 603979776 610271232 616628224 630196002 661189248 693706752 731578368 739198976 767557632 775553024 813694976 831598848 840261336 872497152 881585664 915406848 924942336 975437824 1023410176 1097367552 1108798464 1120348448 1151336448 1163329536 1175447552 1207959552 1220542464 1233256448 1260392004 1322378496 1387413504 1463156736 1478397952 1535115264 1551106048 1627389952 1663197696 1680522672 1744994304 1763171328 1830813696 1849884672 1950875648 2046820352 2194735104 2217596928 2240696896 2302672896 2326659072 2350895104 2441084928 2466512896 2520784008 2644756992 2774827008 2926313472 2956795904 3070230528 3102212096 3254779904 3326395392 3361045344 3489988608 3526342656 3661627392 3699769344 3901751296 4093640704 4389470208 4435193856 4481393792 4605345792 4653318144 4701790208 4882169856 4933025792 5041568016 5289513984 5549654016 5852626944 5913591808 6140461056 6204424192 6509559808 6652790784 6722090688 6979977216 7052685312 7323254784 7399538688 7803502592 8187281408 8778940416 8870387712 8962787584 9210691584 9306636288 9403580416 9764339712 9866051584 10083136032 10579027968 11099308032 11705253888 11827183616 12280922112 12408848384 13019119616 13305581568 13444181376 13959954432 14105370624 14646509568 14799077376 15607005184 17557880832 17740775424 17925575168 18421383168 18613272576 18807160832 19528679424 19732103168 20166272064 21158055936 22198616064 23410507776 23654367232 24561844224 24817696768 26611163136 26888362752 27919908864 28210741248 29293019136 29598154752 31214010368 35115761664 35481550848 35851150336 36842766336 37226545152 37614321664 39057358848 39464206336 40332544128 42316111872 44397232128 46821015552 47308734464 49635393536 53222326272 53776725504 55839817728 56421482496 58586038272 59196309504 62428020736 70231523328 70963101696 71702300672 73685532672 74453090304 75228643328 78928412672 80665088256 84632223744 88794464256 93642031104 94617468928 99270787072 106444652544 107553451008 111679635456 112842964992 117172076544 118392619008 124856041472 140463046656 141926203392 143404601344 148906180608 150457286656 157856825344 161330176512 169264447488 177588928512 187284062208 189234937856 198541574144 212889305088 215106902016 223359270912 225685929984 236785238016 249712082944 280926093312 283852406784 286809202688 297812361216 300914573312 315713650688 322660353024 338528894976 355177857024 374568124416 378469875712 397083148288 425778610176 430213804032 446718541824 451371859968 473570476032 499424165888 561852186624 567704813568 573618405376 595624722432 601829146624 631427301376 645320706048 677057789952 710355714048 749136248832 756939751424 794166296576 851557220352 860427608064 893437083648 902743719936 947140952064 1123704373248 1135409627136 1147236810752 1191249444864 1203658293248 1262854602752 1290641412096 1354115579904 1420711428096 1498272497664 1513879502848 1703114440704 1720855216128 1786874167296 1805487439872 1894281904128 2247408746496 2270819254272 2294473621504 2382498889728 2407316586496 2581282824192 2708231159808 2841422856192 3027759005696 3406228881408 3441710432256 3573748334592 3610974879744 3788563808256 4494817492992 4541638508544 4588947243008 4814633172992 5162565648384 5416462319616 5682845712384 6055518011392 6812457762816 6883420864512 7147496669184 7221949759488 9083277017088 9177894486016 9629266345984 10325131296768 10832924639232 11365691424768 12111036022784 13624915525632 13766841729024 14443899518976 18166554034176 18355788972032 19258532691968 20650262593536 21665849278464 24222072045568 27249831051264 27533683458048 28887799037952 36333108068352 36711577944064 38517065383936 41300525187072 43331698556928 48444144091136 54499662102528 55067366916096 57775598075904 72666216136704 73423155888128 77034130767872 82601050374144 86663397113856 108999324205056 110134733832192 115551196151808 145332432273408 146846311776256 165202100748288 173326794227712 217998648410112 220269467664384 231102392303616 293692623552512 330404201496576 346653588455424 435997296820224 440538935328768 587385247105024 660808402993152 693307176910848 881077870657536 1174770494210048 1321616805986304 1762155741315072 2349540988420096 2643233611972608 3524311482630144 4699081976840192 5286467223945216 7048622965260288 10572934447890432 14097245930520576 21145868895780864 42291737791561728
• Sum of all divisors σ(n): 125505588504417615
• Sum of proper divisors (its aliquot sum) s(n): 83213850712855887
• 42291737791561728 is an abundant number, because the sum of its proper divisors (83213850712855887) is greater than itself. Its abundance is 40922112921294159

Bases of 42291737791561728

• Binary: 10010110010000000001110010001000000000000000000000000000₂
• Hexadecimal: 0x96401C88000000
• Base-36: BKF644KS8W0

Squares and roots of 42291737791561728

• 42291737791561728 squared (42291737791561728²) is 1788591085430210466253041234345984
• 42291737791561728 cubed (42291737791561728³) is 75642625201339243161954015404058727048368044900352
• The square root of 42291737791561728 is 205649550.9150499653
• The cube root of 42291737791561728 is 348405.6401686045

Scales and comparisons

• 42,291,737,791,561,728 seconds is equal to 1,344,746,444 years, 43 weeks, 3 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 42,291,737,791,561,728 would take you about four billion, thirty-four million, two hundred thirty-nine thousand, three hundred thirty-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 42291737791561728 cubic inches would be around 29033.8 feet tall.

Recreational maths with 42291737791561728

• 42291737791561728 backwards is 82716519773719224
• The number of decimal digits it has is: 17
• The sum of 42291737791561728's digits is 81
• More coming soon!