42628258810368
42,628,258,810,368 is an even composite number composed of seven prime numbers multiplied together.
42628258810368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 42628258810368:
29 × 37 × 7 × 11 × 17 × 127 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 17 × 127 × 229)See below for interesting mathematical facts about the number 42628258810368 from the Numbermatics database.
Names of 42628258810368
- Cardinal: 42628258810368 can be written as Forty-two trillion, six hundred twenty-eight billion, two hundred fifty-eight million, eight hundred ten thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2628258810368 × 1013
Factors of 42628258810368
Divisors of 42628258810368
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 51 54 56 63 64 66 68 72 77 81 84 88 96 99 102 108 112 119 126 127 128 132 136 144 153 154 162 168 176 187 189 192 198 204 216 224 229 231 238 243 252 254 256 264 272 288 297 306 308 324 336 352 357 374 378 381 384 396 408 432 448 458 459 462 476 486 504 508 512 528 544 561 567 576 594 612 616 648 672 687 693 704 714 729 748 756 762 768 792 816 864 889 891 896 916 918 924 952 972 1008 1016 1056 1071 1088 1122 1134 1143 1152 1188 1224 1232 1296 1309 1344 1374 1377 1386 1397 1408 1428 1458 1496 1512 1524 1536 1584 1603 1632 1683 1701 1728 1778 1782 1792 1832 1836 1848 1904 1944 2016 2032 2061 2079 2112 2142 2159 2176 2187 2244 2268 2286 2304 2376 2448 2464 2519 2592 2618 2667 2673 2688 2748 2754 2772 2794 2816 2856 2916 2992 3024 3048 3168 3206 3213 3264 3366 3402 3429 3456 3556 3564 3584 3664 3672 3696 3808 3888 3893 3927 4032 4064 4122 4131 4158 4191 4224 4284 4318 4352 4374 4488 4536 4572 4608 4752 4809 4896 4928 5038 5049 5103 5184 5236 5334 5346 5376 5496 5508 5544 5588 5632 5712 5832 5984 6048 6096 6183 6237 6336 6412 6426 6477 6528 6732 6804 6858 6912 7112 7128 7328 7344 7392 7557 7616 7776 7786 7854 8001 8019 8064 8128 8244 8262 8316 8382 8448 8568 8636 8704 8748 8976 9072 9144 9504 9618 9639 9779 9792 9856 10076 10098 10206 10287 10368 10472 10668 10692 10752 10992 11016 11088 11176 11424 11664 11679 11781 11968 12096 12192 12366 12393 12474 12573 12672 12824 12852 12954 13056 13464 13608 13716 13824 14224 14256 14427 14656 14688 14784 15113 15114 15147 15232 15309 15552 15572 15708 16002 16038 16128 16256 16488 16524 16632 16764 16896 17136 17272 17496 17633 17952 18144 18288 18549 18711 19008 19236 19278 19431 19558 19584 19712 20152 20196 20412 20574 20736 20944 21336 21384 21984 22032 22176 22352 22671 22848 23328 23358 23562 23749 23936 24003 24057 24192 24384 24732 24786 24948 25146 25344 25648 25704 25908 26112 26928 27216 27251 27432 28448 28512 28854 28917 29083 29312 29337 29376 29568 30226 30228 30294 30464 30618 30861 31104 31144 31416 32004 32076 32256 32512 32976 33048 33264 33528 34272 34544 34992 35037 35266 35343 35904 36288 36576 37098 37179 37422 37719 38016 38472 38556 38862 39116 39168 39424 40304 40392 40824 41148 41472 41888 42672 42768 42823 43281 43968 44064 44352 44704 45339 45342 45441 45696 46656 46716 47124 47498 47872 48006 48114 48384 48768 49464 49572 49896 50292 50688 51296 51408 51816 52899 53856 54432 54502 54864 55647 56133 56896 57024 57708 57834 58166 58293 58624 58674 58752 59136 60452 60456 60588 60928 61236 61722 62208 62288 62832 64008 64152 65024 65952 66096 66528 67056 68013 68544 69088 69984 70074 70532 70686 71247 71808 72009 72576 73152 74196 74358 74844 75438 76032 76944 77112 77724 78232 78336 80608 80784 81648 81753 82296 83776 85344 85536 85646 86562 86751 87249 87936 88011 88128 88704 89408 90678 90684 90882 91392 92583 93312 93432 94248 94996 95744 96012 96228 96768 97536 98928 99144 99792 100584 102592 102816 103632 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74007393768 75182114304 75986201088 78360769872 80735338656 83258317989 83913895296 84579878592 87712466688 89555165568 92268958464 92872023552 93074800896 95152363416 98676525024 104481026496 107647118208 111011090652 111885193728 112773171456 113979301632 119406887424 121103007984 126869817888 131568700032 138403437696 139308035328 143529490944 148014787536 156721539744 161470677312 166516635978 167827790592 169159757184 175424933376 179110331136 184537916928 186149601792 190304726832 197353050048 208962052992 215294236416 222022181304 225546342912 227958603264 242206015968 253739635776 263137400064 276806875392 278616070656 296029575072 313443079488 322941354624 333033271956 335655581184 338319514368 358220662272 380609453664 394706100096 417924105984 430588472832 444044362608 484412031936 507479271552 526274800128 553613750784 592059150144 626886158976 645882709248 666066543912 676639028736 761218907328 789412200192 835848211968 888088725216 968824063872 1014958543104 1184118300288 1253772317952 1291765418496 1332133087824 1522437814656 1578824400384 1776177450432 1937648127744 2029917086208 2368236600576 2507544635904 2664266175648 3044875629312 3552354900864 3875296255488 4736473201152 5328532351296 6089751258624 7104709801728 10657064702592 14209419603456 21314129405184 42628258810368
- Sum of all divisors σ(n): 170699017420800
- Sum of proper divisors (its aliquot sum) s(n): 128070758610432
- 42628258810368 is an abundant number, because the sum of its proper divisors (128070758610432) is greater than itself. Its abundance is 85442499800064
Bases of 42628258810368
- Binary: 10011011000101001010100011100101001010000000002
- Hexadecimal: 0x26C52A394A00
- Base-36: F3Z5GO000
Squares and roots of 42628258810368
- 42628258810368 squared (426282588103682) is 1817168449203717014584295424
- 42628258810368 cubed (426282588103683) is 77462726954691105301006857757137706156032
-
The
square root of 42628258810368 is 6529031.9964270355 -
The
cube root of 42628258810368 is 34932.7303314025
Scales and comparisons
How big is 42628258810368?- 42,628,258,810,368 seconds is equal to 1,355,446 years, 40 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,628,258,810,368 would take you about three million, three hundred eighty-eight thousand, six hundred sixteen 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 42628258810368 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628258810368
- 42628258810368 backwards is 86301885282624
- 42628258810368 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42628258810368's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 42628258810368 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 42628258810368 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/42628258810368/
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The information we have on file for 42628258810368 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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