42227642400768
42,227,642,400,768 is an even composite number composed of four prime numbers multiplied together.
What does the number 42227642400768 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 968 divisors.
42227642400768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty-eight divisors.
Prime factorization of 42227642400768:
221 × 310 × 11 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 31)See below for interesting mathematical facts about the number 42227642400768 from the Numbermatics database.
Names of 42227642400768
- Cardinal: 42227642400768 can be written as Forty-two trillion, two hundred twenty-seven billion, six hundred forty-two million, four hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2227642400768 × 1013
Factors of 42227642400768
Divisors of 42227642400768
- Number of divisors d(n): 968
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 81 88 93 96 99 108 124 128 132 144 162 176 186 192 198 216 243 248 256 264 279 288 297 324 341 352 372 384 396 432 486 496 512 528 558 576 594 648 682 704 729 744 768 792 837 864 891 972 992 1023 1024 1056 1116 1152 1188 1296 1364 1408 1458 1488 1536 1584 1674 1728 1782 1944 1984 2046 2048 2112 2187 2232 2304 2376 2511 2592 2673 2728 2816 2916 2976 3069 3072 3168 3348 3456 3564 3888 3968 4092 4096 4224 4374 4464 4608 4752 5022 5184 5346 5456 5632 5832 5952 6138 6144 6336 6561 6696 6912 7128 7533 7776 7936 8019 8184 8192 8448 8748 8928 9207 9216 9504 10044 10368 10692 10912 11264 11664 11904 12276 12288 12672 13122 13392 13824 14256 15066 15552 15872 16038 16368 16384 16896 17496 17856 18414 18432 19008 19683 20088 20736 21384 21824 22528 22599 23328 23808 24057 24552 24576 25344 26244 26784 27621 27648 28512 30132 31104 31744 32076 32736 32768 33792 34992 35712 36828 36864 38016 39366 40176 41472 42768 43648 45056 45198 46656 47616 48114 49104 49152 50688 52488 53568 55242 55296 57024 59049 60264 62208 63488 64152 65472 65536 67584 67797 69984 71424 72171 73656 73728 76032 78732 80352 82863 82944 85536 87296 90112 90396 93312 95232 96228 98208 98304 101376 104976 107136 110484 110592 114048 118098 120528 124416 126976 128304 130944 131072 135168 135594 139968 142848 144342 147312 147456 152064 157464 160704 165726 165888 171072 174592 180224 180792 186624 190464 192456 196416 196608 202752 203391 209952 214272 216513 220968 221184 228096 236196 241056 248589 248832 253952 256608 261888 262144 270336 271188 279936 285696 288684 294624 294912 304128 314928 321408 331452 331776 342144 349184 360448 361584 373248 380928 384912 392832 393216 405504 406782 419904 428544 433026 441936 442368 456192 472392 482112 497178 497664 507904 513216 523776 524288 540672 542376 559872 571392 577368 589248 589824 608256 610173 629856 642816 649539 662904 663552 684288 698368 720896 723168 745767 746496 761856 769824 785664 786432 811008 813564 839808 857088 866052 883872 884736 912384 944784 964224 994356 995328 1015808 1026432 1047552 1048576 1081344 1084752 1119744 1142784 1154736 1178496 1179648 1216512 1220346 1259712 1285632 1299078 1325808 1327104 1368576 1396736 1441792 1446336 1491534 1492992 1523712 1539648 1571328 1572864 1622016 1627128 1679616 1714176 1732104 1767744 1769472 1824768 1830519 1889568 1928448 1988712 1990656 2031616 2052864 2095104 2097152 2162688 2169504 2237301 2239488 2285568 2309472 2356992 2359296 2433024 2440692 2519424 2571264 2598156 2651616 2654208 2737152 2793472 2883584 2892672 2983068 2985984 3047424 3079296 3142656 3145728 3244032 3254256 3359232 3428352 3464208 3535488 3538944 3649536 3661038 3779136 3856896 3977424 3981312 4063232 4105728 4190208 4325376 4339008 4474602 4478976 4571136 4618944 4713984 4718592 4866048 4881384 5038848 5142528 5196312 5303232 5308416 5474304 5586944 5767168 5785344 5966136 5971968 6094848 6158592 6285312 6291456 6488064 6508512 6711903 6718464 6856704 6928416 7070976 7077888 7299072 7322076 7558272 7713792 7954848 7962624 8126464 8211456 8380416 8650752 8678016 8949204 8957952 9142272 9237888 9427968 9437184 9732096 9762768 10077696 10285056 10392624 10606464 10616832 10948608 11173888 11534336 11570688 11932272 11943936 12189696 12317184 12570624 12976128 13017024 13423806 13436928 13713408 13856832 14141952 14155776 14598144 14644152 15116544 15427584 15909696 15925248 16252928 16422912 16760832 17301504 17356032 17898408 17915904 18284544 18475776 18855936 18874368 19464192 19525536 20135709 20155392 20570112 20785248 21212928 21233664 21897216 22347776 23068672 23141376 23864544 23887872 24379392 24634368 25141248 25952256 26034048 26847612 26873856 27426816 27713664 28283904 28311552 29196288 29288304 30233088 30855168 31819392 31850496 32505856 32845824 33521664 34603008 34712064 35796816 35831808 36569088 36951552 37711872 38928384 39051072 40271418 40310784 41140224 41570496 42425856 42467328 43794432 44695552 46282752 47729088 47775744 48758784 49268736 50282496 51904512 52068096 53695224 53747712 54853632 55427328 56567808 56623104 58392576 58576608 60466176 61710336 63638784 63700992 65011712 65691648 67043328 69206016 69424128 71593632 71663616 73138176 73903104 75423744 77856768 78102144 80542836 80621568 82280448 83140992 84851712 84934656 87588864 89391104 92565504 95458176 95551488 97517568 98537472 100564992 103809024 104136192 107390448 107495424 109707264 110854656 113135616 116785152 117153216 120932352 123420672 127277568 127401984 131383296 134086656 138848256 143187264 143327232 146276352 147806208 150847488 155713536 156204288 161085672 161243136 164560896 166281984 169703424 169869312 175177728 178782208 185131008 190916352 191102976 195035136 197074944 201129984 207618048 208272384 214780896 214990848 219414528 221709312 226271232 233570304 234306432 241864704 246841344 254555136 254803968 262766592 268173312 277696512 286374528 286654464 292552704 295612416 301694976 311427072 312408576 322171344 322486272 329121792 332563968 339406848 350355456 357564416 370262016 381832704 382205952 394149888 402259968 416544768 429561792 429981696 438829056 443418624 452542464 467140608 468612864 483729408 493682688 509110272 509607936 525533184 536346624 555393024 572749056 573308928 585105408 591224832 603389952 622854144 624817152 644342688 644972544 658243584 665127936 678813696 700710912 715128832 740524032 763665408 764411904 788299776 804519936 833089536 859123584 859963392 877658112 886837248 905084928 934281216 937225728 967458816 987365376 1018220544 1051066368 1072693248 1110786048 1145498112 1146617856 1182449664 1206779904 1249634304 1288685376 1289945088 1316487168 1330255872 1357627392 1401421824 1481048064 1527330816 1528823808 1576599552 1609039872 1666179072 1718247168 1719926784 1755316224 1773674496 1810169856 1868562432 1874451456 1934917632 1974730752 2036441088 2102132736 2145386496 2221572096 2290996224 2293235712 2364899328 2413559808 2499268608 2577370752 2579890176 2632974336 2660511744 2715254784 2802843648 2962096128 3054661632 3153199104 3218079744 3332358144 3436494336 3439853568 3547348992 3620339712 3748902912 3869835264 3949461504 4072882176 4204265472 4443144192 4581992448 4586471424 4729798656 4827119616 4998537216 5154741504 5159780352 5265948672 5321023488 5430509568 5605687296 5924192256 6109323264 6306398208 6436159488 6664716288 6872988672 6879707136 7094697984 7240679424 7497805824 7739670528 7898923008 8145764352 8408530944 8886288384 9163984896 9459597312 9654239232 9997074432 10309483008 10319560704 10642046976 10861019136 11848384512 12218646528 12612796416 13329432576 13745977344 13759414272 14189395968 14481358848 14995611648 15479341056 15797846016 16291528704 16817061888 17772576768 18327969792 18919194624 19308478464 19994148864 20618966016 20639121408 21284093952 21722038272 23696769024 24437293056 25225592832 26658865152 27491954688 28378791936 28962717696 29991223296 30958682112 32583057408 35545153536 36655939584 37838389248 39988297728 41237932032 41278242816 42568187904 43444076544 47393538048 48874586112 50451185664 53317730304 54983909376 56757583872 57925435392 59982446592 61917364224 65166114816 71090307072 73311879168 75676778496 79976595456 82475864064 85136375808 86888153088 97749172224 106635460608 109967818752 113515167744 119964893184 123834728448 130332229632 142180614144 146623758336 151353556992 159953190912 164951728128 170272751616 173776306176 195498344448 213270921216 219935637504 227030335488 239929786368 260664459264 293247516672 319906381824 329903456256 340545503232 390996688896 426541842432 439871275008 454060670976 479859572736 521328918528 586495033344 639812763648 659806912512 681091006464 781993377792 879742550016 959719145472 1172990066688 1279625527296 1319613825024 1362182012928 1563986755584 1759485100032 1919438290944 2345980133376 2639227650048 3518970200064 3838876581888 4691960266752 5278455300096 7037940400128 10556910600192 14075880800256 21113821200384 42227642400768
- Sum of all divisors σ(n): 142656767853696
- Sum of proper divisors (its aliquot sum) s(n): 100429125452928
- 42227642400768 is an abundant number, because the sum of its proper divisors (100429125452928) is greater than itself. Its abundance is 58201483052160
Bases of 42227642400768
- Binary: 10011001100111111000111010000000000000000000002
- Hexadecimal: 0x2667E3A00000
- Base-36: EYV400000
Squares and roots of 42227642400768
- 42227642400768 squared (422276424007682) is 1783173782727139418726989824
- 42227642400768 cubed (422276424007683) is 75299224835426417614081632589893265784832
-
The
square root of 42227642400768 is 6498279.9570938771 -
The
cube root of 42227642400768 is 34822.9542048655
Scales and comparisons
How big is 42227642400768?- 42,227,642,400,768 seconds is equal to 1,342,708 years, 21 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,227,642,400,768 would take you about three million, three hundred fifty-six thousand, seven hundred seventy-one 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 42227642400768 cubic inches would be around 2901.9 feet tall.
Recreational maths with 42227642400768
- 42227642400768 backwards is 86700424672224
- 42227642400768 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42227642400768's digits is 54
- More coming soon!
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The information we have on file for 42227642400768 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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