42628363321600
42,628,363,321,600 is an even composite number composed of five prime numbers multiplied together.
42628363321600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 42628363321600:
28 × 52 × 72 × 892 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 89 × 89 × 131 × 131)See below for interesting mathematical facts about the number 42628363321600 from the Numbermatics database.
Names of 42628363321600
- Cardinal: 42628363321600 can be written as Forty-two trillion, six hundred twenty-eight billion, three hundred sixty-three million, three hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.26283633216 × 1013
Factors of 42628363321600
Divisors of 42628363321600
- Number of divisors d(n): 729
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 89 98 100 112 128 131 140 160 175 178 196 200 224 245 256 262 280 320 350 356 392 400 445 448 490 524 560 623 640 655 700 712 784 800 890 896 917 980 1048 1120 1225 1246 1280 1310 1400 1424 1568 1600 1780 1792 1834 1960 2096 2225 2240 2450 2492 2620 2800 2848 3115 3136 3200 3275 3560 3668 3920 4192 4361 4450 4480 4585 4900 4984 5240 5600 5696 6230 6272 6400 6419 6550 7120 7336 7840 7921 8384 8722 8900 8960 9170 9800 9968 10480 11200 11392 11659 12460 12544 12838 13100 14240 14672 15575 15680 15842 16768 17161 17444 17800 18340 19600 19936 20960 21805 22400 22784 22925 23318 24920 25676 26200 28480 29344 31150 31360 31684 32095 33536 34322 34888 35600 36680 39200 39605 39872 41920 43610 44800 45850 46636 49840 51352 52400 55447 56960 58295 58688 62300 62720 63368 64190 68644 69776 71200 73360 78400 79210 79744 81613 83840 85805 87220 91700 93272 99680 102704 104800 109025 110894 113920 116590 117376 120127 124600 126736 128380 137288 139552 142400 146720 156800 158420 159488 160475 163226 167680 171610 174440 183400 186544 198025 199360 205408 209600 218050 221788 233180 234752 240254 249200 253472 256760 274576 277235 279104 284800 291475 293440 313600 316840 320950 326452 343220 348880 366800 373088 388129 396050 398720 408065 410816 419200 429025 436100 443576 466360 480508 498400 506944 513520 549152 554470 558208 569600 571291 582950 586880 600635 633680 641900 652904 686440 697760 733600 746176 776258 792100 797440 816130 821632 838400 840889 858050 872200 887152 932720 961016 996800 1013888 1027040 1037651 1098304 1108940 1116416 1142582 1165900 1173760 1201270 1267360 1283800 1305808 1372880 1386175 1395520 1467200 1492352 1527329 1552516 1584200 1632260 1643264 1681778 1716100 1744400 1774304 1865440 1922032 1940645 1993600 2027776 2040325 2054080 2075302 2196608 2217880 2285164 2331800 2402540 2534720 2567600 2611616 2745760 2772350 2791040 2856455 2934400 2984704 3003175 3054658 3105032 3168400 3264520 3363556 3432200 3488800 3548608 3730880 3844064 3881290 3987200 4080650 4108160 4150604 4204445 4393216 4435760 4570328 4663600 4805080 5069440 5135200 5188255 5223232 5491520 5544700 5582080 5712910 5868800 6006350 6109316 6210064 6336800 6529040 6727112 6864400 6977600 7097216 7263557 7461760 7636645 7688128 7762580 8161300 8216320 8301208 8408890 8871520 9140656 9327200 9610160 9703225 10138880 10270400 10376510 10446464 10691303 10983040 11089400 11425820 12012700 12218632 12420128 12673600 13058080 13454224 13728800 13955200 14194432 14282275 14527114 14923520 15273290 15376256 15525160 16322600 16602416 16817780 17743040 18281312 18654400 19220320 19406450 20540800 20753020 20892928 21022225 21382606 21966080 22178800 22851640 24025400 24437264 24840256 25347200 25941275 26116160 26908448 27457600 27910400 28564550 29054228 30546580 30752512 31050320 32645200 33204832 33635560 35486080 36317785 36562624 37308800 38183225 38440640 38812900 41081600 41506040 42044450 42765212 44357600 45703280 48050800 48874528 49680512 50694400 50844899 51882550 52232320 53456515 53816896 54915200 57129100 58108456 61093160 62100640 65290400 66409664 67271120 70972160 72635570 73125248 74617600 74839121 76366450 76881280 77625800 83012080 84088900 85530424 88715200 91406560 96101600 97749056 99361024 101689798 103765100 104464640 106913030 107633792 109830400 114258200 116216912 122186320 124201280 130580800 132819328 134542240 135932281 145271140 146250496 149678242 152732900 153762560 155251600 166024160 168177800 171060848 177430400 181588925 182813120 192203200 195498112 203379596 207530200 213826060 215267584 228516400 232433824 244372640 248402560 254224495 261161600 265638656 267282575 269084480 271864562 290542280 299356484 305465800 310503200 332048320 336355600 342121696 354860800 363177850 365626240 374195605 384406400 390996224 406759192 415060400 427652120 457032800 464867648 488745280 496805120 508448990 522323200 534565150 538168960 543729124 581084560 598712968 610931600 621006400 664096640 672711200 679661405 684243392 726355700 731252480 748391210 768812800 813518384 830120800 855304240 914065600 929735296 951525967 977490560 1016897980 1069130300 1076337920 1087458248 1162169120 1197425936 1221863200 1242012800 1271122475 1328193280 1345422400 1359322810 1368486784 1452711400 1496782420 1627036768 1660241600 1710608480 1828131200 1859470592 1870978025 1903051934 1954981120 2033795960 2138260600 2174916496 2324338240 2394851872 2443726400 2484025600 2542244950 2690844800 2718645620 2736973568 2905422800 2993564840 3254073536 3320483200 3398307025 3421216960 3656262400 3741956050 3806103868 4067591920 4276521200 4349832992 4648676480 4757629835 4789703744 4887452800 5084489900 5381689600 5437291240 5810845600 5987129680 6508147072 6640966400 6660681769 6796614050 6842433920 7483912100 7612207736 8135183840 8553042400 8699665984 9297352960 9515259670 9579407488 9774905600 10168979800 10874582480 11621691200 11974259360 13016294144 13321363538 13593228100 13684867840 14967824200 15224415472 16270367680 17106084800 17399331968 19030519340 19158814976 20337959600 21749164960 23243382400 23788149175 23948518720 26642727076 27186456200 29935648400 30448830944 32540735360 33303408845 34212169600 34798663936 38061038680 40675919200 43498329920 46486764800 47576298350 47897037440 53285454152 54372912400 59871296800 60897661888 65081470720 66606817690 68424339200 76122077360 81351838400 86996659840 95152596700 95794074880 106570908304 108745824800 119742593600 121795323776 133213635380 152244154720 162703676800 166517044225 173993319680 190305193400 213141816608 217491649600 239485187200 243590647552 266427270760 304488309440 325407353600 333034088450 380610386800 426283633216 434983299200 478970374400 532854541520 608976618880 666068176900 761220773600 852567266432 869966598400 1065709083040 1217953237760 1332136353800 1522441547200 1705134532864 2131418166080 2664272707600 3044883094400 4262836332160 5328545415200 6089766188800 8525672664320 10657090830400 21314181660800 42628363321600
- Sum of all divisors σ(n): 125087675712951
- Sum of proper divisors (its aliquot sum) s(n): 82459312391351
- 42628363321600 is an abundant number, because the sum of its proper divisors (82459312391351) is greater than itself. Its abundance is 39830949069751
Bases of 42628363321600
- Binary: 10011011000101001100000111010000000001000000002
- Hexadecimal: 0x26C530740100
- Base-36: F3Z76W1DS
Squares and roots of 42628363321600
- 42628363321600 squared (426283633216002) is 1817177359478332185026560000
- 42628363321600 cubed (426283633216003) is 77463296699628073826126995025821696000000
-
42628363321600 is a
perfect square number . Itssquare root is 6529040 -
The
cube root of 42628363321600 is 34932.7588794425
Scales and comparisons
How big is 42628363321600?- 42,628,363,321,600 seconds is equal to 1,355,450 years, 4 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,628,363,321,600 would take you about three million, three hundred eighty-eight thousand, six hundred twenty-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 42628363321600 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628363321600
- 42628363321600 backwards is 00612336382624
- The number of decimal digits it has is: 14
- The sum of 42628363321600's digits is 46
- More coming soon!
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