42438948927648

Names of 42438948927648

• Cardinal: 42438948927648 can be written as Forty-two trillion, four hundred thirty-eight billion, nine hundred forty-eight million, nine hundred twenty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 4.2438948927648 × 10¹³

Factors of 42438948927648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1512

Divisors of 42438948927648

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 1487 2028 2184 2197 2366 2704 2912 2974 3549 4056 4368 4394 4461 4732 5408 5948 6591 7098 8112 8736 8788 8922 9464 10409 11896 13182 14196 15379 16224 17576 17844 18928 19331 20818 23792 26364 28392 28561 30758 31227 35152 35688 37856 38662 41636 46137 47584 52728 56784 57122 57993 61516 62454 70304 71376 77324 83272 85683 92274 105456 113568 114244 115986 123032 124908 135317 142752 154648 166544 171366 184548 199927 210912 228488 231972 246064 249816 251303 270634 309296 333088 342732 369096 399854 405951 456976 463944 492128 499632 502606 541268 599781 618592 685464 738192 753909 799708 811902 913952 927888 999264 1005212 1082536 1199562 1370928 1476384 1507818 1599416 1623804 1759121 1855776 2010424 2165072 2211169 2399124 2741856 3015636 3198832 3247608 3266939 3518242 4020848 4330144 4422338 4798248 5277363 6031272 6397664 6495216 6533878 6633507 7036484 8041696 8844676 9596496 9800817 10554726 12062544 12990432 13067756 13267014 14072968 15478183 17689352 19192992 19601634 21109452 22868573 24125088 26135512 26534028 28145936 28745197 30956366 35378704 39203268 42218904 42470207 45737146 46434549 52271024 53068056 56291872 57490394 61912732 68605719 70757408 78406536 84437808 84940414 86235591 91474292 92869098 104542048 106136112 114980788 123825464 127410621 137211438 156813072 168875616 169880828 172471182 182948584 185738196 201216379 212272224 229961576 247650928 254821242 274422876 297291449 313626144 339761656 344942364 365897168 371476392 373687561 402432758 459923152 495301856 509642484 548845752 594582898 603649137 679523312 689884728 731794336 742952784 747375122 804865516 891874347 919846304 1019284968 1097691504 1121062683 1189165796 1207298274 1359046624 1379769456 1485905568 1494750244 1609731032 1783748694 2038569936 2195383008 2242125366 2378331592 2414596548 2615812927 2759538912 2989500488 3219462064 3567497388 4077139872 4484250732 4756663184 4829193096 4857938293 5231625854 5979000976 6438924128 7134994776 7847438781 8968501464 9513326368 9658386192 9715876586 10463251708 11958001952 14269989552 14573814879 15694877562 17937002928 19316772384 19431753172 20926503416 28539979104 29147629758 31389755124 34005568051 35874005856 38863506344 41853006832 58295259516 62779510248 63153197809 68011136102 77727012688 83706013664 102016704153 116590519032 125559020496 126306395618 136022272204 155454025376 189459593427 204033408306 233181038064 251118040992 252612791236 272044544408 378919186854 408066816612 442072384663 466362076128 505225582472 544089088816 757838373708 816133633224 884144769326 1010451164944 1088178177632 1326217153989 1515676747416 1632267266448 1768289538652 2020902329888 2652434307978 3031353494832 3264534532896 3536579077304 5304868615956 6062706989664 7073158154608 10609737231912 14146316309216 21219474463824 42438948927648
• Sum of all divisors σ(n): 138019029597792
• Sum of proper divisors (its aliquot sum) s(n): 95580080670144
• 42438948927648 is an abundant number, because the sum of its proper divisors (95580080670144) is greater than itself. Its abundance is 53141131742496

Bases of 42438948927648

• Binary: 1001101001100100010110011110011011100010100000₂
• Hexadecimal: 0x26991679B8A0
• Base-36: F1K6MG7MO

Squares and roots of 42438948927648

• 42438948927648 squared (42438948927648²) is 1801064386083515329138811904
• 42438948927648 cubed (42438948927648³) is 76435279496404006332125751220597577121792
• The square root of 42438948927648 is 6514518.3189279619
• The cube root of 42438948927648 is 34880.9421124643

Scales and comparisons

• 42,438,948,927,648 seconds is equal to 1,349,427 years, 15 weeks, 5 days, 12 hours, 20 minutes, 48 seconds.
• To count from 1 to 42,438,948,927,648 would take you about three million, three hundred seventy-three thousand, five hundred sixty-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 42438948927648 cubic inches would be around 2906.7 feet tall.

Recreational maths with 42438948927648

• 42438948927648 backwards is 84672984983424
• 42438948927648 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42438948927648's digits is 78
• More coming soon!