422120241607680
422,120,241,607,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 422120241607680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2970 divisors.
422120241607680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred seventy divisors.
Prime factorization of 422120241607680:
210 × 32 × 5 × 72 × 114 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 113 × 113)See below for interesting mathematical facts about the number 422120241607680 from the Numbermatics database.
Names of 422120241607680
- Cardinal: 422120241607680 can be written as Four hundred twenty-two trillion, one hundred twenty billion, two hundred forty-one million, six hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2212024160768 × 1014
Factors of 422120241607680
Divisors of 422120241607680
- Number of divisors d(n): 2970
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 64 66 70 72 77 80 84 88 90 96 98 99 105 110 112 113 120 121 126 128 132 140 144 147 154 160 165 168 176 180 192 196 198 210 220 224 226 231 240 242 245 252 256 264 280 288 294 308 315 320 330 336 339 352 360 363 384 385 392 396 420 440 441 448 452 462 480 484 490 495 504 512 528 539 560 565 576 588 605 616 630 640 660 672 678 693 704 720 726 735 768 770 784 791 792 840 847 880 882 896 904 924 960 968 980 990 1008 1017 1024 1056 1078 1089 1120 1130 1152 1155 1176 1210 1232 1243 1260 1280 1320 1331 1344 1356 1386 1408 1440 1452 1470 1536 1540 1568 1582 1584 1617 1680 1694 1695 1760 1764 1792 1808 1815 1848 1920 1936 1960 1980 2016 2034 2112 2156 2178 2205 2240 2260 2304 2310 2352 2373 2420 2464 2486 2520 2541 2560 2640 2662 2688 2695 2712 2772 2816 2880 2904 2940 3072 3080 3136 3164 3168 3234 3360 3388 3390 3465 3520 3528 3584 3616 3630 3696 3729 3840 3872 3920 3955 3960 3993 4032 4068 4224 4235 4312 4356 4410 4480 4520 4608 4620 4704 4746 4840 4851 4928 4972 5040 5082 5085 5120 5280 5324 5376 5390 5424 5445 5537 5544 5632 5760 5808 5880 5929 6160 6215 6272 6328 6336 6468 6655 6720 6776 6780 6930 7040 7056 7119 7168 7232 7260 7392 7458 7623 7680 7744 7840 7910 7920 7986 8064 8085 8136 8448 8470 8624 8701 8712 8820 8960 9040 9216 9240 9317 9408 9492 9680 9702 9856 9944 10080 10164 10170 10560 10648 10752 10780 10848 10890 11074 11088 11187 11264 11520 11616 11760 11858 11865 11979 12320 12430 12544 12656 12672 12705 12769 12936 13310 13440 13552 13560 13673 13860 14080 14112 14238 14464 14520 14641 14784 14916 15246 15360 15488 15680 15820 15840 15972 16128 16170 16272 16611 16896 16940 17248 17402 17424 17640 17787 17920 18080 18480 18634 18645 18816 18984 19360 19404 19712 19888 19965 20160 20328 20340 21120 21296 21504 21560 21696 21780 22148 22176 22374 23040 23232 23520 23716 23730 23958 24255 24640 24860 25088 25312 25344 25410 25538 25872 26103 26620 26880 27104 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41877008096 42449742720 42828758280 43508579840 43607462976 44471159040 44868222960 45306455040 45684008832 45802977605 46694716992 47111634108 47859437824 48452736640 48513991680 48947152320 49837100544 49966884660 51883018880 52210295808 52346260120 52857530880 53298010304 53365390848 53841867552 54509328720 54963573126 55374556160 56599656960 57105011040 58143283968 58368396240 58889542635 59294878720 59824297280 59960261592 60912011776 62259622656 62296375680 62815512144 63429037056 65262869760 66622512880 66706738560 67302334440 67919588352 68526013248 71195857920 71789156736 72679104960 73284764168 74950326990 76140014720 76236272640 77524378624 77824528320 78315443712 78519390180 79286296320 79947015456 82445359689 83012830208 83061834240 83754016192 84899485440 85657516560 87017159680 87214925952 88942318080 89736445920 91368017664 91605955210 93389433984 94223268216 95718875648 96905473280 97894304640 99674201088 99933769320 103766037760 104692520240 105715061760 106596020608 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329781438756 335016064768 339597941760 342630066240 348859703808 358945783680 365472070656 366423820840 373557735936 376893072864 387621893120 391577218560 399735077280 412226798445 415064151040 418770080960 426384082432 430734940416 436074629760 439708585008 456840088320 466947169920 471116341080 478594378240 479682092736 498371005440 502524097152 532980103040 533653908480 538418675520 548208105984 549635731260 574313253888 581432839680 586278113344 599602615920 609120117760 622596226560 628155121440 639576123648 659562877512 670032129536 685260132480 697719407616 717891567360 732847641680 747115471872 753786145728 783154437120 799470154560 824453596890 837540161920 852768164864 861469880832 872149259520 879417170016 913680176640 933894339840 942232682160 957188756480 959364185472 1005048194304 1065960206080 1076837351040 1096416211968 1099271462520 1162865679360 1172556226688 1199205231840 1245192453120 1256310242880 1279152247296 1319125755024 1340064259072 1370520264960 1435783134720 1465695283360 1507572291456 1598940309120 1648907193780 1675080323840 1722939761664 1744298519040 1758834340032 1827360353280 1867788679680 1884465364320 1918728370944 2010096388608 2131920412160 2153674702080 2198542925040 2345112453376 2398410463680 2512620485760 2558304494592 2638251510048 2741040529920 2871566269440 2931390566720 3015144582912 3197880618240 3297814387560 3350160647680 3488597038080 3517668680064 3735577359360 3768930728640 3837456741888 4020192777216 4263840824320 4307349404160 4397085850080 4690224906752 4796820927360 5025240971520 5276503020096 5482081059840 5862781133440 6030289165824 6395761236480 6595628775120 6700321295360 7035337360128 7537861457280 7674913483776 8614698808320 8794171700160 9380449813504 9593641854720 10050481943040 10553006040192 11725562266880 12060578331648 12791522472960 13191257550240 14070674720256 15075722914560 17588343400320 19187283709440 20100963886080 21106012080384 23451124533760 26382515100480 28141349440512 30151445829120 35176686800640 38374567418880 42212024160768 46902249067520 52765030200960 60302891658240 70353373601280 84424048321536 105530060401920 140706747202560 211060120803840 422120241607680
- Sum of all divisors σ(n): 1888274102947830
- Sum of proper divisors (its aliquot sum) s(n): 1466153861340150
- 422120241607680 is an abundant number, because the sum of its proper divisors (1466153861340150) is greater than itself. Its abundance is 1044033619732470
Bases of 422120241607680
- Binary: 10111111111101010100001110000110110110100000000002
- Hexadecimal: 0x17FEA870DB400
- Base-36: 45MND114W0
Squares and roots of 422120241607680
- 422120241607680 squared (4221202416076802) is 178185498374926137471034982400
- 422120241607680 cubed (4221202416076803) is 75215705625008693158947532508517296504832000
-
The
square root of 422120241607680 is 20545565.0106703077 -
The
cube root of 422120241607680 is 75014.5300208753
Scales and comparisons
How big is 422120241607680?- 422,120,241,607,680 seconds is equal to 13,422,117 years, 50 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 422,120,241,607,680 would take you about thirty-three million, five hundred fifty-five thousand, two hundred ninety-four 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 422120241607680 cubic inches would be around 6251.2 feet tall.
Recreational maths with 422120241607680
- 422120241607680 backwards is 086706142021224
- 422120241607680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 422120241607680's digits is 45
- More coming soon!
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MLA style:
"Number 422120241607680 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 422120241607680 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/422120241607680/
Chicago style:
Numbermatics. 2024. "Number 422120241607680 - Facts about the integer". https://numbermatics.com/n/422120241607680/
The information we have on file for 422120241607680 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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