42200042468864
42,200,042,468,864 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42200042468864 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
42200042468864 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 42200042468864:
29 × 7 × 23 × 31 × 137 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 31 × 137 × 149 × 809)See below for interesting mathematical facts about the number 42200042468864 from the Numbermatics database.
Names of 42200042468864
- Cardinal: 42200042468864 can be written as Forty-two trillion, two hundred billion, forty-two million, four hundred sixty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.2200042468864 × 1013
Factors of 42200042468864
Divisors of 42200042468864
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 137 149 161 184 217 224 248 256 274 298 322 368 434 448 496 512 548 596 644 713 736 809 868 896 959 992 1043 1096 1192 1288 1426 1472 1618 1736 1792 1918 1984 2086 2192 2384 2576 2852 2944 3151 3236 3427 3472 3584 3836 3968 4172 4247 4384 4619 4768 4991 5152 5663 5704 5888 6302 6472 6854 6944 7672 7936 8344 8494 8768 9238 9536 9982 10304 11326 11408 11776 12604 12944 13708 13888 15344 15872 16688 16988 17536 18476 18607 19072 19964 20413 20608 22057 22652 22816 23989 25079 25208 25888 27416 27776 29729 30688 32333 33376 33976 35072 36952 37214 38144 39928 40826 41216 44114 45304 45632 47978 50158 50416 51776 54832 55552 59458 61376 64666 66752 67952 70144 73904 74428 76288 79856 81652 82432 88228 90608 91264 95956 97681 100316 100832 103552 106237 109664 110833 111104 118916 120541 122752 129332 130249 133504 135904 142891 147808 148856 159712 163304 175553 176456 181216 182528 191912 195362 200632 201664 207104 212474 219328 221666 237832 241082 245504 258664 260498 267008 271808 285782 295616 297712 319424 326608 351106 352912 362432 365056 383824 390724 401264 403328 414208 424948 438656 443332 469499 475664 482164 491008 517328 520996 534016 543616 571564 576817 591232 595424 632803 638848 653216 683767 702212 705824 724864 743659 767648 775831 781448 802528 806656 843787 849896 877312 886664 938998 951328 964328 1034656 1041992 1087232 1143128 1153634 1182464 1190848 1265606 1277696 1306432 1367534 1404424 1411648 1449728 1487318 1535296 1551662 1562896 1605056 1613312 1687574 1699792 1754624 1773328 1877996 1902656 1928656 2069312 2083984 2174464 2286256 2307268 2364928 2381696 2531212 2549159 2555392 2612864 2735068 2772443 2808848 2823296 2899456 2974636 3070592 3103324 3125792 3210112 3286493 3375148 3399584 3435823 3546656 3736771 3755992 3805312 3857312 4037719 4138624 4167968 4429621 4572512 4614536 4763392 5062424 5098318 5225728 5470136 5544886 5617696 5646592 5949272 6141184 6206648 6251584 6420224 6572986 6750296 6799168 6871646 7093312 7473542 7511984 7610624 7714624 8075438 8277248 8335936 8859242 9145024 9229072 9526784 10124848 10196636 10451456 10940272 11089772 11235392 11293184 11898544 12282368 12413296 12503168 12840448 13145972 13500592 13598336 13743292 14186624 14554469 14947084 15023968 15221248 15429248 16150876 16514117 16554496 16671872 17718484 17844113 18290048 18458144 19407101 20249696 20393272 21880544 22179544 22470784 23797088 24050761 24826592 25006336 26157397 26291944 27001184 27196672 27486584 28373248 29108938 29894168 30047936 30858496 32301752 33028234 33343744 35436968 35688226 36580096 36916288 38814202 40499392 40786544 43761088 44359088 44941568 47594176 48101522 49653184 50012672 52314794 52583888 54002368 54393344 54973168 56746496 58217876 59788336 60095872 61716992 64603504 66056468 66687488 70873936 71376452 73160192 73832576 77628404 79023929 80998784 81573088 85945733 87522176 88718176 89883136 95188352 96203044 99306368 101881283 104629588 105167776 108004736 109946336 115598819 116435752 119576672 120191744 129207008 132112936 141747872 142752904 147665152 155256808 158047858 161997568 163146176 171891466 175044352 177436352 190376704 192406088 198612736 203762566 209259176 210335552 216009472 219892672 231197638 232871504 239153344 240383488 258414016 264225872 283495744 285505808 295330304 310513616 316095716 323995136 326292352 343782932 350088704 354872704 379824691 380753408 384812176 397225472 407525132 418518352 420671104 432018944 439785344 462395276 465743008 478306688 511937627 516828032 528451744 553167503 566991488 571011616 601620131 621027232 632191432 652584704 687565864 709745408 759649382 769624352 815050264 837036704 841342208 879570688 924790552 931486016 956613376 1023875254 1033656064 1056903488 1106335006 1133982976 1142023232 1203240262 1242054464 1264382864 1305169408 1375131728 1419490816 1519298764 1539248704 1630100528 1674073408 1682684416 1759141376 1849581104 1862972032 1913226752 2047750508 2067312128 2113806976 2212670012 2267965952 2284046464 2406480524 2484108928 2528765728 2658772837 2750263456 3038597528 3078497408 3260201056 3348146816 3583563389 3699162208 3725944064 4095501016 4227613952 4425340024 4568092928 4812961048 4968217856 5057531456 5317545674 5500526912 6077195056 6156994816 6520402112 6696293632 7167126778 7398324416 7451888128 8191002032 8455227904 8850680048 9136185856 9625922096 9936435712 10115062912 10635091348 11001053824 11774565421 12154390112 12313989632 13040804224 13392587264 14334253556 14796648832 16382004064 17701360096 19251844192 20230125824 21270182696 22002107648 23549130842 24308780224 26081608448 28668507112 29593297664 32764008128 35402720192 38503688384 40460251648 42540365392 44004215296 47098261684 48617560448 52163216896 57337014224 59186595328 65528016256 70805440384 77007376768 82421957947 85080730784 94196523368 97235120896 114674028448 131056032512 141610880768 154014753536 164843915894 170161461568 188393046736 194470241792 229348056896 262112065024 283221761536 308029507072 329687831788 340322923136 376786093472 458696113792 659375663576 680645846272 753572186944 917392227584 1318751327152 1361291692544 1507144373888 1834784455168 2637502654304 3014288747776 5275005308608 6028577495552 10550010617216 21100021234432 42200042468864
- Sum of all divisors σ(n): 105385826304000
- Sum of proper divisors (its aliquot sum) s(n): 63185783835136
- 42200042468864 is an abundant number, because the sum of its proper divisors (63185783835136) is greater than itself. Its abundance is 20985741366272
Bases of 42200042468864
- Binary: 10011001100001011101101000101001110110000000002
- Hexadecimal: 0x2661768A7600
- Base-36: EYIFJPO8W
Squares and roots of 42200042468864
- 42200042468864 squared (422000424688642) is 1780843584373925204409450496
- 42200042468864 cubed (422000424688643) is 75151674890983633674833463168353429356544
-
The
square root of 42200042468864 is 6496155.9763343121 -
The
cube root of 42200042468864 is 34815.3658055783
Scales and comparisons
How big is 42200042468864?- 42,200,042,468,864 seconds is equal to 1,341,830 years, 42 weeks, 3 days, 11 hours, 7 minutes, 44 seconds.
-
To count from 1 to 42,200,042,468,864 would take you about three million, three hundred fifty-four thousand, five hundred seventy-seven 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 42200042468864 cubic inches would be around 2901.3 feet tall.
Recreational maths with 42200042468864
- 42200042468864 backwards is 46886424000224
- The number of decimal digits it has is: 14
- The sum of 42200042468864's digits is 50
- More coming soon!
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