42345121055630400
42,345,121,055,630,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42345121055630400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
42345121055630400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 42345121055630400:
26 × 33 × 52 × 7 × 79 × 139 × 35712
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 79 × 139 × 3571 × 3571)See below for interesting mathematical facts about the number 42345121055630400 from the Numbermatics database.
Names of 42345121055630400
- Cardinal: 42345121055630400 can be written as Forty-two quadrillion, three hundred forty-five trillion, one hundred twenty-one billion, fifty-five million, six hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 4.23451210556304 × 1016
Factors of 42345121055630400
Divisors of 42345121055630400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 79 80 84 90 96 100 105 108 112 120 126 135 139 140 144 150 158 160 168 175 180 189 192 200 210 216 224 225 237 240 252 270 278 280 288 300 315 316 320 336 350 360 378 395 400 417 420 432 448 450 474 480 504 525 540 553 556 560 576 600 630 632 672 675 695 700 711 720 756 790 800 834 840 864 900 945 948 960 973 1008 1050 1080 1106 1112 1120 1185 1200 1251 1260 1264 1344 1350 1390 1400 1422 1440 1512 1575 1580 1600 1659 1668 1680 1728 1800 1890 1896 1946 1975 2016 2085 2100 2133 2160 2212 2224 2240 2370 2400 2502 2520 2528 2700 2765 2780 2800 2844 2880 2919 3024 3150 3160 3318 3336 3360 3475 3555 3571 3600 3753 3780 3792 3892 3950 4032 4170 4200 4266 4320 4424 4448 4725 4740 4800 4865 4977 5004 5040 5056 5400 5530 5560 5600 5688 5838 5925 6048 6255 6300 6320 6636 6672 6720 6950 7110 7142 7200 7506 7560 7584 7784 7900 8295 8340 8400 8532 8640 8757 8848 8896 9450 9480 9730 9954 10008 10080 10425 10665 10713 10800 10981 11060 11120 11200 11376 11676 11850 12096 12510 12600 12640 13272 13344 13825 13900 14220 14284 14400 14595 14931 15012 15120 15168 15568 15800 16590 16680 16800 17064 17514 17696 17775 17855 18765 18900 18960 19460 19908 20016 20160 20850 21330 21426 21600 21962 22120 22240 22752 23352 23700 24325 24885 24997 25020 25200 25280 26271 26544 26688 27650 27800 28440 28568 29190 29862 30024 30240 31136 31275 31600 32139 32943 33180 33360 33600 34128 35028 35392 35550 35710 37530 37800 37920 38920 39816 40032 41475 41700 42660 42852 43200 43785 43924 44240 44480 45504 46704 47400 48650 49770 49994 50040 50400 52542 53088 53325 53565 54905 55300 55600 56880 57136 58380 59724 60048 60480 62272 62550 63200 64278 65886 66360 66720 68256 70056 71100 71420 72975 74655 74991 75060 75600 75840 76867 77840 79632 80064 82950 83400 85320 85704 87570 87848 88480 89275 93408 93825 94800 96417 97300 98829 99540 99988 100080 100800 105084 106176 106650 107130 109810 110600 111200 113760 114272 116760 119448 120096 124425 124985 125100 126400 128556 131355 131772 132720 133440 136512 140112 142200 142840 145950 149310 149982 150120 151200 153734 155680 159264 160695 164715 165900 166800 170640 171408 175140 175696 176960 178550 186816 187650 189600 192834 194600 197658 199080 199976 200160 210168 213300 214260 218925 219620 221200 222400 224973 227520 228544 230601 233520 238896 240192 248850 249970 250200 257112 262710 263544 265440 267825 274525 280224 282109 284400 285680 291900 296487 298620 299964 300240 302400 307468 311360 318528 321390 329430 331800 333600 341280 342816 350280 351392 357100 373275 374955 375300 379200 384335 385668 389200 395316 398160 399952 400320 420336 426600 428520 437850 439240 442400 449946 461202 467040 477792 482085 494145 496369 497700 499940 500400 514224 525420 527088 530880 535650 549050 560448 564218 568800 571360 583800 592974 597240 599928 600480 614936 624925 642780 656775 658860 663600 667200 674919 682560 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10880041381200 11166962303700 11202412977680 11283005876800 11762533626564 11858056862400 11911426457280 12185646346944 12602714599890 12693381611400 12762242632800 13400354764440 13442895573216 14003016222100 14506721841600 14703167033205 14889283071600 15123257519868 15232057933680 15314691159360 15683378168752 16750443455550 16803619466520 16924508815200 17643800439846 17867139685920 18904071899835 19040072417100 19143363949200 19604222710940 19852377428800 20164343359824 20309410578240 21004524333150 21440567623104 21760082762400 22333924607400 22404825955360 23525067253128 24505278388675 25205429199780 25386763222800 25524485265600 26465700659769 26800709528880 26885791146432 28006032444200 29406334066410 29778566143200 30246515039736 30464115867360 31366756337504 31506786499725 33500886911100 33607238933040 33849017630400 35287600879692 35734279371840 37808143799670 38080144834200 38286727898400 39208445421880 40328686719648 42009048666300 43520165524800 44109501099615 44667849214800 44809651910720 47050134506256 49010556777350 50410858399560 50773526445600 52931401319538 53601419057760 56012064888400 58812668132820 59557132286400 60493030079472 60928231734720 62733512675008 63013572999450 67001773822200 67214477866080 70575201759384 73515835166025 75616287599340 76160289668400 76573455796800 78416890843760 80657373439296 84018097332600 88219002199230 89335698429600 94100269012512 94520359499175 98021113554700 100821716799120 101547052891200 105862802639076 107202838115520 112024129776800 117625336265640 120986060158944 126027145998900 132328503298845 134003547644400 134428955732160 141150403518768 147031670332050 151232575198680 152320579336800 156833781687520 168036194665200 176438004398460 178671396859200 188200538025024 189040718998350 196042227109400 201643433598240 211725605278152 220547505498075 224048259553600 235250672531280 241972120317888 252054291997800 264657006597690 268007095288800 282300807037536 294063340664100 302465150397360 304641158673600 313667563375040 336072389330400 352876008796920 378081437996700 392084454218800 403286867196480 423451210556304 441095010996150 470501345062560 504108583995600 529314013195380 536014190577600 564601614075072 588126681328200 604930300794720 661642516494225 672144778660800 705752017593840 756162875993400 784168908437600 846902421112608 882190021992300 941002690125120 1008217167991200 1058628026390760 1176253362656400 1209860601589440 1323285032988450 1411504035187680 1512325751986800 1568337816875200 1693804842225216 1764380043984600 2016434335982400 2117256052781520 2352506725312800 2646570065976900 2823008070375360 3024651503973600 3528760087969200 4234512105563040 4705013450625600 5293140131953800 6049303007947200 7057520175938400 8469024211126080 10586280263907600 14115040351876800 21172560527815200 42345121055630400
- Sum of all divisors σ(n): 179984352597504000
- Sum of proper divisors (its aliquot sum) s(n): 137639231541873600
- 42345121055630400 is an abundant number, because the sum of its proper divisors (137639231541873600) is greater than itself. Its abundance is 95294110486243200
Bases of 42345121055630400
- Binary: 100101100111000010101001110010100111110111100100010000002
- Hexadecimal: 0x9670A9CA7DE440
- Base-36: BKY3C25W9C0
Squares and roots of 42345121055630400
- 42345121055630400 squared (423451210556304002) is 1793109277215993041651541404160000
- 42345121055630400 cubed (423451210556304003) is 75929429409685154819129139899957012289982464000000
-
The
square root of 42345121055630400 is 205779301.8153925023 -
The
cube root of 42345121055630400 is 348552.1716278459
Scales and comparisons
How big is 42345121055630400?- 42,345,121,055,630,400 seconds is equal to 1,346,443,867 years, 26 weeks, 3 days, 12 hours.
-
To count from 1 to 42,345,121,055,630,400 would take you about four billion, thirty-nine million, three hundred thirty-one thousand, six hundred two 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 42345121055630400 cubic inches would be around 29046 feet tall.
Recreational maths with 42345121055630400
- 42345121055630400 backwards is 00403655012154324
- 42345121055630400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42345121055630400's digits is 45
- More coming soon!
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The information we have on file for 42345121055630400 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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