40043426801664
40,043,426,801,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 40043426801664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
40043426801664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 40043426801664:
211 × 3 × 112 × 132 × 672 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 13 × 67 × 67 × 71)See below for interesting mathematical facts about the number 40043426801664 from the Numbermatics database.
Names of 40043426801664
- Cardinal: 40043426801664 can be written as Forty trillion, forty-three billion, four hundred twenty-six million, eight hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.0043426801664 × 1013
Factors of 40043426801664
Divisors of 40043426801664
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 67 71 78 88 96 104 121 128 132 134 142 143 156 169 176 192 201 208 213 242 256 264 268 284 286 312 338 352 363 384 402 416 426 429 484 507 512 528 536 568 572 624 676 704 726 737 768 781 804 832 852 858 871 923 968 1014 1024 1056 1072 1136 1144 1248 1352 1408 1452 1474 1536 1562 1573 1608 1664 1704 1716 1742 1846 1859 1936 2028 2048 2112 2144 2211 2272 2288 2343 2496 2613 2704 2769 2816 2904 2948 3072 3124 3146 3216 3328 3408 3432 3484 3692 3718 3872 4056 4224 4288 4422 4489 4544 4576 4686 4719 4757 4992 5226 5408 5538 5577 5632 5808 5896 6144 6248 6292 6432 6656 6816 6864 6968 7384 7436 7744 8107 8112 8448 8576 8591 8844 8978 9088 9152 9372 9438 9514 9581 9984 10153 10452 10816 11076 11154 11264 11323 11616 11792 11999 12496 12584 12864 13312 13467 13632 13728 13936 14271 14768 14872 15488 16214 16224 16896 17152 17182 17688 17956 18176 18304 18744 18876 19028 19162 19968 20306 20449 20904 21632 22152 22308 22528 22646 23232 23584 23998 24321 24992 25168 25728 25773 26624 26934 27264 27456 27872 28542 28743 29536 29744 30459 30976 32428 32448 33792 33969 34304 34364 35376 35912 35997 36352 36608 37488 37752 38056 38324 39936 40612 40898 41808 43264 44304 44616 45292 46464 47168 47996 48642 49379 49984 50336 51456 51546 52327 53868 54528 54912 55744 57084 57486 58357 59072 59488 60918 61347 61841 61952 64856 64896 67584 67938 68608 68728 70752 71824 71994 72704 73216 74976 75504 76112 76648 79872 81224 81796 83616 86528 88608 89232 90584 92928 94336 95992 97284 98758 99968 100672 102912 103092 104654 105391 107736 109056 109824 111488 111683 114168 114972 116714 118144 118976 121836 122694 123682 123904 124553 129712 129792 131989 135876 137216 137456 141504 143648 143988 145408 146432 148137 149952 151008 152224 153296 156981 162448 163592 167232 173056 175071 177216 178464 181168 185523 185856 188672 191984 194568 197516 199936 201344 205824 206184 209308 210782 215472 218112 219648 222976 223366 228336 229944 233428 236288 237952 243672 245388 247364 247808 249106 259424 259584 263978 271752 274912 283008 287296 287976 292864 296274 299904 302016 304448 306592 313962 316173 318719 324896 327184 334464 335049 346112 350142 354432 356928 362336 371046 371712 373659 377344 383968 389136 395032 395967 399872 402688 411648 412368 418616 421564 430944 436224 439296 445952 446732 456672 459888 466856 472576 475904 487344 490776 494728 498212 518848 519168 527956 543169 543504 549824 566016 574592 575597 575952 592548 599808 604032 608896 613184 627924 632346 637438 641927 649792 654368 668928 670098 680251 700284 708864 713856 724672 742092 743424 747318 754688 758641 767936 778272 790064 791934 799744 803933 805376 824736 837232 843128 861888 878592 891904 893464 913344 919776 933712 945152 951808 956157 974688 981552 989456 996424 1037696 1038336 1055912 1086338 1087008 1099648 1132032 1149184 1151194 1151904 1185096 1199616 1208064 1217792 1226368 1255848 1264692 1274876 1283854 1299584 1308736 1337856 1340196 1360502 1370083 1400568 1417728 1427712 1449344 1451879 1484184 1494636 1509376 1517282 1535872 1556544 1580128 1583868 1599488 1607866 1610752 1629507 1649472 1674464 1686256 1723776 1726791 1783808 1786928 1826688 1839552 1867424 1890304 1903616 1912314 1925781 1949376 1963104 1978912 1992848 2040753 2075392 2111824 2172676 2174016 2199296 2264064 2275923 2298368 2302388 2303808 2370192 2399232 2411799 2416128 2435584 2452736 2511696 2529384 2549752 2567708 2599168 2617472 2675712 2680392 2721004 2740166 2801136 2835456 2855424 2898688 2903758 2968368 2989272 3034564 3071744 3113088 3160256 3167736 3215732 3221504 3259014 3298944 3348928 3372512 3447552 3453582 3505909 3573856 3653376 3679104 3734848 3807232 3824628 3851562 3898752 3926208 3957824 3985696 4081506 4110249 4143347 4150784 4223648 4345352 4348032 4355637 4398592 4528128 4551846 4596736 4604776 4607616 4740384 4798464 4823598 4832256 4871168 4905472 5023392 5058768 5099504 5135416 5198336 5234944 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6408999168 6517484831 6791625984 6894529408 7109983452 7180101632 7230665728 7404479808 7662347264 8021519792 8417789952 8485574656 8545332224 8750748864 8812373856 8920344576 9055501312 9338485728 9479977936 9872639744 10341794112 10770152448 10845998592 11493520896 11667665152 11749831808 12032279688 12451314304 12728361984 12817998336 13034969662 13583251968 13789058816 14219966904 14461331456 14808959616 15324694528 16043039584 17090664448 17501497728 17624747712 18111002624 18676971456 18959955872 19552454493 19745279488 20683588224 21540304896 21691997184 22987041792 23335330304 23499663616 24064559376 24902628608 25456723968 25635996672 26069939324 27166503936 27578117632 28439933808 29617919232 32086079168 35002995456 35249495424 37353942912 37919911744 39104908986 39490558976 41367176448 43383994368 45974083584 46670660608 46999327232 48129118752 49805257216 51271993344 52139878648 54333007872 55156235264 56879867616 59235838464 64172158336 70005990912 70498990848 74707885824 75839823488 78209817972 78981117952 82734352896 93341321216 93998654464 96258237504 99610514432 104279757296 110312470528 113759735232 118471676928 128344316672 140011981824 140997981696 149415771648 151679646976 156419635944 165468705792 187997308928 192516475008 199221028864 208559514592 227519470464 236943353856 256688633344 280023963648 281995963392 298831543296 303359293952 312839271888 330937411584 385032950016 417119029184 455038940928 513377266688 563991926784 597663086592 606718587904 625678543776 770065900032 834238058368 910077881856 1026754533376 1213437175808 1251357087552 1540131800064 1668476116736 1820155763712 2502714175104 3080263600128 3336952233472 3640311527424 5005428350208 6673904466944 10010856700416 13347808933888 20021713400832 40043426801664
- Sum of all divisors σ(n): 130806146933280
- Sum of proper divisors (its aliquot sum) s(n): 90762720131616
- 40043426801664 is an abundant number, because the sum of its proper divisors (90762720131616) is greater than itself. Its abundance is 50719293329952
Bases of 40043426801664
- Binary: 10010001101011010101100011101011101000000000002
- Hexadecimal: 0x246B563AE800
- Base-36: E6ZP2FDHC
Squares and roots of 40043426801664
- 40043426801664 squared (400434268016642) is 1603476030020222764393168896
- 40043426801664 cubed (400434268016643) is 64208675036337576899625155786963045842944
-
The
square root of 40043426801664 is 6327987.5791331955 -
The
cube root of 40043426801664 is 34211.8909216957
Scales and comparisons
How big is 40043426801664?- 40,043,426,801,664 seconds is equal to 1,273,257 years, 5 weeks, 4 days, 23 hours, 34 minutes, 24 seconds.
-
To count from 1 to 40,043,426,801,664 would take you about three million, one hundred eighty-three thousand, one hundred forty-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 40043426801664 cubic inches would be around 2851 feet tall.
Recreational maths with 40043426801664
- 40043426801664 backwards is 46610862434004
- 40043426801664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40043426801664's digits is 48
- More coming soon!
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The information we have on file for 40043426801664 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!
Keywords: Divisors of 40043426801664, math, Factors of 40043426801664, curriculum, school, college, exams, university, Prime factorization of 40043426801664, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, forty-three billion, four hundred twenty-six million, eight hundred one thousand, six hundred sixty-four.