42164426787104
42,164,426,787,104 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42164426787104 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
42164426787104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42164426787104:
25 × 19 × 31 × 41 × 61 × 137 × 6529
(2 × 2 × 2 × 2 × 2 × 19 × 31 × 41 × 61 × 137 × 6529)See below for interesting mathematical facts about the number 42164426787104 from the Numbermatics database.
Names of 42164426787104
- Cardinal: 42164426787104 can be written as Forty-two trillion, one hundred sixty-four billion, four hundred twenty-six million, seven hundred eighty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 4.2164426787104 × 1013
Factors of 42164426787104
Divisors of 42164426787104
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 16 19 31 32 38 41 61 62 76 82 122 124 137 152 164 244 248 274 304 328 488 496 548 589 608 656 779 976 992 1096 1159 1178 1271 1312 1558 1891 1952 2192 2318 2356 2501 2542 2603 3116 3782 4247 4384 4636 4712 5002 5084 5206 5617 6232 6529 7564 8357 8494 9272 9424 10004 10168 10412 11234 12464 13058 15128 16714 16988 18544 18848 20008 20336 20824 22468 24149 24928 26116 30256 33428 33976 35929 37088 40016 40672 41648 44936 47519 48298 52232 60512 66856 67952 71858 77531 80032 80693 83296 89872 95038 96596 104464 106723 124051 133712 135904 143716 155062 158783 161386 174127 179744 190076 193192 202399 208928 213446 248102 259067 267424 267689 287432 310124 317566 322772 342637 348254 380152 386384 398269 404798 426892 496204 518134 535378 574864 620248 635132 645544 685274 696508 760304 772768 796538 809596 853784 894473 992408 1036268 1070756 1149728 1240496 1270264 1291088 1370548 1393016 1473089 1520608 1593076 1619192 1707568 1788946 1984816 2072536 2141512 2480992 2540528 2582176 2741096 2786032 2946178 3186152 3238384 3308413 3415136 3577892 3845581 3969632 4145072 4283024 4922273 5081056 5086091 5482192 5572064 5892356 6372304 6476768 6510103 6616826 7155784 7567111 7691162 8290144 8298359 8566048 9844546 10172182 10621747 10964384 11784712 12346339 12744608 13020206 13233652 14311568 15134222 15382324 16329029 16596718 16994987 19689092 20344364 21243494 23569424 24692678 26040412 26467304 27728663 28623136 30268444 30764648 32658058 33193436 33989974 36673393 39378184 40688728 42486988 47138848 49385356 52080824 52934608 54562853 55457326 60536888 61529296 65316116 66386872 67979948 73346786 78756368 81377456 84973976 98770712 104161648 105869216 109125706 110914652 121073776 123058592 130632232 132773744 135959896 146693572 157512736 157668821 162754912 169947952 197541424 201813193 208323296 218251412 221829304 234580441 242147552 261264464 265547488 271919792 293387144 310251551 315337642 339895904 395082848 403626386 436502824 443658608 469160882 506199899 522528928 526844597 543839584 586774288 620503102 630675284 696794467 807252772 873005648 887317216 938321764 1012399798 1036694207 1053689194 1136875183 1173548576 1241006204 1261350568 1393588934 1614505544 1691448443 1746011296 1876643528 2024799596 2073388414 2107378388 2237076973 2273750366 2482012408 2522701136 2787177868 3229011088 3382896886 3753287056 4049599192 4146776828 4214756776 4474153946 4547500732 4964024816 5045402272 5574355736 6458022176 6765793772 7506574112 8099198384 8293553656 8429513552 8948307892 9095001464 9617798081 9928049632 11148711472 13531587544 16198396768 16587107312 16859027104 17896615784 18190002928 19235596162 21600628477 22297422944 27063175088 32137520417 33174214624 35793231568 36380005856 38471192324 42504462487 43201256954 54126350176 64275040834 69349386163 71586463136 76942384648 85008924974 86402513908 128550081668 138698772326 153884769296 170017849948 172805027816 257100163336 277397544652 307769538592 340035699896 345610055632 514200326672 554795089304 680071399792 691220111264 1028400653344 1109590178608 1317638337097 1360142799584 2219180357216 2635276674194 5270553348388 10541106696776 21082213393552 42164426787104
- Sum of all divisors σ(n): 94613644339200
- Sum of proper divisors (its aliquot sum) s(n): 52449217552096
- 42164426787104 is an abundant number, because the sum of its proper divisors (52449217552096) is greater than itself. Its abundance is 10284790764992
Bases of 42164426787104
- Binary: 10011001011001001010111010111001001001001000002
- Hexadecimal: 0x26592BAE4920
- Base-36: EY22J20BK
Squares and roots of 42164426787104
- 42164426787104 squared (421644267871042) is 1777838886285053344140706816
- 42164426787104 cubed (421644267871043) is 74961557560032645385583993517454513700864
-
The
square root of 42164426787104 is 6493414.1087030633 -
The
cube root of 42164426787104 is 34805.5686433449
Scales and comparisons
How big is 42164426787104?- 42,164,426,787,104 seconds is equal to 1,340,698 years, 18 weeks, 22 hours, 11 minutes, 44 seconds.
-
To count from 1 to 42,164,426,787,104 would take you about three million, three hundred fifty-one thousand, seven hundred forty-five 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 42164426787104 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42164426787104
- 42164426787104 backwards is 40178762446124
- The number of decimal digits it has is: 14
- The sum of 42164426787104's digits is 56
- More coming soon!
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