42206851416594917664
42,206,851,416,594,917,664 is an even composite number composed of six prime numbers multiplied together.
42206851416594917664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42206851416594917664:
25 × 32 × 67 × 89 × 283 × 86843880857
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 67 × 89 × 283 × 86843880857)See below for interesting mathematical facts about the number 42206851416594917664 from the Numbermatics database.
Names of 42206851416594917664
- Cardinal: 42206851416594917664 can be written as Forty-two quintillion, two hundred six quadrillion, eight hundred fifty-one trillion, four hundred sixteen billion, five hundred ninety-four million, nine hundred seventeen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2206851416594917664 × 1019
Factors of 42206851416594917664
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 86843881301
Divisors of 42206851416594917664
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 89 96 134 144 178 201 267 268 283 288 356 402 534 536 566 603 712 801 804 849 1068 1072 1132 1206 1424 1602 1608 1698 2136 2144 2264 2412 2547 2848 3204 3216 3396 4272 4528 4824 5094 5963 6408 6432 6792 8544 9056 9648 10188 11926 12816 13584 17889 18961 19296 20376 23852 25187 25632 27168 35778 37922 40752 47704 50374 53667 56883 71556 75561 75844 81504 95408 100748 107334 113766 143112 151122 151688 170649 190816 201496 214668 226683 227532 286224 302244 303376 341298 402992 429336 453366 455064 572448 604488 606752 682596 805984 858672 906732 910128 1208976 1365192 1687529 1717344 1813464 1820256 2417952 2730384 3375058 3626928 5062587 5460768 6750116 7253856 10125174 13500232 15187761 20250348 27000464 30375522 40500696 54000928 60751044 81001392 121502088 162002784 243004176 486008352 86843880857 173687761714 260531642571 347375523428 521063285142 694751046856 781594927713 1042126570284 1389502093712 1563189855426 2084253140568 2779004187424 3126379710852 4168506281136 5818540017419 6252759421704 7729105396273 8337012562272 11637080034838 12505518843408 15458210792546 17455620052257 23187316188819 23274160069676 24576818282531 25011037686816 30916421585092 34911240104514 46374632377638 46548320139352 49153636565062 52366860156771 61832843170184 69561948566457 69822480209028 73730454847593 92749264755276 93096640278704 98307273130124 104733720313542 123665686340368 139123897132914 139644960418056 147460909695186 185498529510552 186193280557408 196614546260248 209467440627084 221191364542779 247331372680736 278247794265828 279289920836112 294921819390372 370997059021104 393229092520496 418934881254168 442382729085558 517850061550291 556495588531656 558579841672224 589843638780744 741994118042208 786458185040992 837869762508336 884765458171116 1035700123100582 1112991177063312 1179687277561488 1553550184650873 1646646824929577 1675739525016672 1769530916342232 2071400246201164 2187336827145259 2225982354126624 2359374555122976 3107100369301746 3293293649859154 3539061832684464 4142800492402328 4374673654290518 4660650553952619 4939940474788731 6214200738603492 6562010481435777 6586587299718308 7078123665368928 8285600984804656 8749347308581036 9321301107905238 9879880949577462 12428401477206984 13124020962871554 13173174599436616 14819821424366193 16571201969609312 17498694617162072 18642602215810476 19686031444307331 19759761899154924 24856802954413968 26248041925743108 26346349198873232 29639642848732386 34997389234324144 37285204431620952 39372062888614662 39519523798309848 49713605908827936 52496083851486216 52692698397746464 59279285697464772 69994778468648288 74570408863241904 78744125777229324 79039047596619696 104992167702972432 118558571394929544 146551567418732353 149140817726483808 157488251554458648 158078095193239392 209984335405944864 237117142789859088 293103134837464706 314976503108917296 439654702256197059 474234285579718176 586206269674929412 629953006217834592 879309404512394118 1172412539349858824 1318964106768591177 1758618809024788236 2344825078699717648 2637928213537182354 3517237618049576472 4689650157399435296 5275856427074364708 7034475236099152944 10551712854148729416 14068950472198305888 21103425708297458832 42206851416594917664
- Sum of all divisors σ(n): 123621180589729892160
- Sum of proper divisors (its aliquot sum) s(n): 81414329173134974496
- 42206851416594917664 is an abundant number, because the sum of its proper divisors (81414329173134974496) is greater than itself. Its abundance is 39207477756540056832
Bases of 42206851416594917664
- Binary: 1001001001101111001101101110111101111011011101010100101001001000002
- Hexadecimal: 0x249BCDBBDEDD52920
- Base-36: 8WO1K54U6NEW0
Squares and roots of 42206851416594917664
- 42206851416594917664 squared (422068514165949176642) is 1781418306502520407954757551474939216896
- 42206851416594917664 cubed (422068514165949176643) is 75188057773354022705565471876619502555370699318193757650944
-
The
square root of 42206851416594917664 is 6496680030.3381817131 -
The
cube root of 42206851416594917664 is 3481723.8183295441
Scales and comparisons
How big is 42206851416594917664?- 42,206,851,416,594,917,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,206,851,416,594,917,664 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42206851416594917664 cubic inches would be around 290143.7 feet tall.
Recreational maths with 42206851416594917664
- 42206851416594917664 backwards is 46671949561415860224
- The number of decimal digits it has is: 20
- The sum of 42206851416594917664's digits is 90
- More coming soon!
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