42420600260975664
42,420,600,260,975,664 is an even composite number composed of six prime numbers multiplied together.
42420600260975664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42420600260975664:
24 × 32 × 7 × 132 × 113 × 2203693189
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 113 × 2203693189)See below for interesting mathematical facts about the number 42420600260975664 from the Numbermatics database.
Names of 42420600260975664
- Cardinal: 42420600260975664 can be written as Forty-two quadrillion, four hundred twenty trillion, six hundred billion, two hundred sixty million, nine hundred seventy-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2420600260975664 × 1016
Factors of 42420600260975664
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2203693327
Divisors of 42420600260975664
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 113 117 126 144 156 168 169 182 208 226 234 252 273 312 336 338 339 364 452 468 504 507 546 624 676 678 728 791 819 904 936 1008 1014 1017 1092 1183 1352 1356 1456 1469 1521 1582 1638 1808 1872 2028 2034 2184 2366 2373 2704 2712 2938 3042 3164 3276 3549 4056 4068 4368 4407 4732 4746 5424 5876 6084 6328 6552 7098 7119 8112 8136 8814 9464 9492 10283 10647 11752 12168 12656 13104 13221 14196 14238 16272 17628 18928 18984 19097 20566 21294 23504 24336 26442 28392 28476 30849 35256 37968 38194 41132 42588 52884 56784 56952 57291 61698 70512 76388 82264 85176 92547 105768 113904 114582 123396 133679 152776 164528 170352 171873 185094 211536 229164 246792 267358 305552 343746 370188 401037 458328 493584 534716 687492 740376 802074 916656 1069432 1203111 1374984 1480752 1604148 2138864 2406222 2749968 3208296 4812444 6416592 9624888 19249776 2203693189 4407386378 6611079567 8814772756 13222159134 15425852323 17629545512 19833238701 26444318268 28648011457 30851704646 35259091024 39666477402 46277556969 52888636536 57296022914 61703409292 79332954804 85944034371 92555113938 105777273072 114592045828 123406818584 138832670907 158665909608 171888068742 185110227876 200536080199 229184091656 246813637168 249017330357 257832103113 277665341814 317331819216 343776137484 370220455752 372424148941 401072160398 458368183312 498034660714 515664206226 555330683628 601608240597 687552274968 740440911504 744848297882 747051991071 802144320796 996069321428 1031328412452 1110661367256 1117272446823 1203216481194 1375104549936 1489696595764 1494103982142 1604288641592 1743121312499 1804824721791 1992138642856 2062656824904 2221322734512 2234544893646 2241155973213 2406432962388 2606969042587 2979393191528 2988207964284 3208577283184 3237225294641 3351817340469 3486242624998 3609649443582 3984277285712 4125313649808 4469089787292 4482311946426 4812865924776 5213938085174 5229363937497 5958786383056 5976415928568 6474450589282 6703634680938 6972485249996 7219298887164 7820907127761 8938179574584 8964623892852 9625731849552 9711675883923 10427876170348 10458727874994 11952831857136 12948901178564 13407269361876 13944970499992 14438597774328 15641814255522 15688091812491 17876359149168 17929247785704 19423351767846 20855752340696 20917455749988 22660577062487 23462721383283 25897802357128 26814538723752 27889940999984 28877195548656 29135027651769 31283628511044 31376183624982 35858495571408 38846703535692 41711504681392 41834911499976 42083928830333 45321154124974 46925442766566 51795604714256 53629077447504 58270055303538 62567257022088 62752367249964 67981731187461 77693407071384 83669822999952 84167857660666 90642308249948 93850885533132 116540110607076 125134514044176 125504734499928 126251786490999 135963462374922 155386814142768 168335715321332 181284616499896 187701771066264 203945193562383 233080221214152 251009468999856 252503572981998 271926924749844 294587501812331 336671430642664 362569232999792 375403542132528 378755359472997 407890387124766 466160442428304 505007145963996 543853849499688 589175003624662 673342861285328 757510718945994 815780774249532 883762505436993 1010014291927992 1087707698999376 1178350007249324 1515021437891988 1631561548499064 1767525010873986 2020028583855984 2356700014498648 2651287516310979 3030042875783976 3263123096998128 3535050021747972 4713400028997296 5302575032621958 6060085751567952 7070100043495944 10605150065243916 14140200086991888 21210300130487832 42420600260975664
- Sum of all divisors σ(n): 148218394191210720
- Sum of proper divisors (its aliquot sum) s(n): 105797793930235056
- 42420600260975664 is an abundant number, because the sum of its proper divisors (105797793930235056) is greater than itself. Its abundance is 63377193669259392
Bases of 42420600260975664
- Binary: 100101101011010101001111101010011011011011011100001100002
- Hexadecimal: 0x96B54FA9B6DC30
- Base-36: BLOUIQ7XYK0
Squares and roots of 42420600260975664
- 42420600260975664 squared (424206002609756642) is 1799507326501488572665097200240896
- 42420600260975664 cubed (424206002609756643) is 76336180964216665552187799532224944315008793554944
-
The
square root of 42420600260975664 is 205962618.6009870677 -
The
cube root of 42420600260975664 is 348759.1441144361
Scales and comparisons
How big is 42420600260975664?- 42,420,600,260,975,664 seconds is equal to 1,348,843,872 years, 39 weeks, 6 days, 5 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,420,600,260,975,664 would take you about four billion, forty-six million, five hundred thirty-one thousand, six hundred eighteen 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 42420600260975664 cubic inches would be around 29063.3 feet tall.
Recreational maths with 42420600260975664
- 42420600260975664 backwards is 46657906200602424
- 42420600260975664 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42420600260975664's digits is 63
- More coming soon!
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