42407943432192
42,407,943,432,192 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42407943432192 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42407943432192 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42407943432192:
211 × 32 × 13 × 17 × 31 × 41 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 31 × 41 × 8191)See below for interesting mathematical facts about the number 42407943432192 from the Numbermatics database.
Names of 42407943432192
- Cardinal: 42407943432192 can be written as Forty-two trillion, four hundred seven billion, nine hundred forty-three million, four hundred thirty-two thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 4.2407943432192 × 1013
Factors of 42407943432192
Divisors of 42407943432192
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 31 32 34 36 39 41 48 51 52 62 64 68 72 78 82 93 96 102 104 117 123 124 128 136 144 153 156 164 186 192 204 208 221 234 246 248 256 272 279 288 306 312 328 369 372 384 403 408 416 442 468 492 496 512 527 533 544 558 576 612 624 656 663 697 738 744 768 806 816 832 884 936 984 992 1024 1054 1066 1088 1116 1152 1209 1224 1248 1271 1312 1326 1394 1476 1488 1536 1581 1599 1612 1632 1664 1768 1872 1968 1984 1989 2048 2091 2108 2132 2176 2232 2304 2418 2448 2496 2542 2624 2652 2788 2952 2976 3072 3162 3198 3224 3264 3328 3536 3627 3744 3813 3936 3968 3978 4182 4216 4264 4352 4464 4608 4743 4797 4836 4896 4992 5084 5248 5304 5576 5904 5952 6144 6273 6324 6396 6448 6528 6656 6851 7072 7254 7488 7626 7872 7936 7956 8191 8364 8432 8528 8704 8928 9061 9216 9486 9594 9672 9792 9984 10168 10496 10608 11152 11439 11808 11904 12546 12648 12792 12896 13056 13312 13702 14144 14508 14976 15252 15744 15872 15912 16382 16523 16728 16864 17056 17408 17856 18122 18432 18972 19188 19344 19584 19968 20336 20553 20992 21216 21607 22304 22878 23616 23808 24573 25092 25296 25584 25792 26112 26624 27183 27404 28288 29016 29952 30504 31488 31744 31824 32764 33046 33456 33728 34112 34816 35712 36244 37944 38376 38688 39168 39936 40672 41106 41984 42432 43214 44608 45756 47232 47616 49146 49569 50184 50592 51168 51584 52224 54366 54808 56576 58032 59904 61008 61659 62976 63488 63648 64821 65528 66092 66912 67456 68224 71424 72488 73719 75888 76752 77376 78336 79872 81344 81549 82212 83968 84864 86428 89216 91512 94464 95232 98292 99138 100368 101184 102336 103168 104448 106483 108732 109616 113152 116064 119808 122016 123318 125952 127296 129642 131056 132184 133824 134912 136448 139247 142848 144976 147438 148707 151776 153504 154752 156672 162688 163098 164424 169728 172856 178432 183024 188928 190464 194463 196584 198276 200736 202368 204672 206336 212966 217464 219232 226304 232128 239616 244032 246636 251904 253921 254592 259284 262112 264368 267648 269824 272896 278494 280891 285696 289952 294876 297414 303552 307008 309504 313344 319449 325376 326196 328848 335831 339456 345712 356864 366048 377856 388926 393168 396552 401472 404736 409344 412672 417741 425932 434928 438464 452608 464256 488064 493272 507842 509184 518568 524224 528736 535296 539648 545792 556988 561782 571392 579904 589752 594828 607104 614016 619008 638898 650752 652392 657696 671662 678912 691424 713728 732096 755712 761763 777852 786336 793104 802944 809472 818688 825344 835482 842673 851864 869856 876928 928512 958347 976128 986544 1007493 1015684 1018368 1037136 1048448 1057472 1070592 1079296 1091584 1113976 1123564 1159808 1179504 1189656 1214208 1228032 1238016 1253223 1277796 1301504 1304784 1315392 1343324 1357824 1382848 1427456 1464192 1523526 1555704 1572672 1586208 1605888 1618944 1637376 1670964 1685346 1703728 1739712 1753856 1810211 1857024 1916694 1952256 1973088 2014986 2031368 2036736 2074272 2096896 2114944 2141184 2227952 2247128 2285289 2319616 2359008 2379312 2428416 2456064 2476032 2506446 2528019 2555592 2603008 2609568 2630784 2686648 2765696 2928384 3022479 3047052 3111408 3145344 3172416 3211776 3237888 3274752 3300973 3341928 3370692 3407456 3479424 3507712 3620422 3714048 3833388 3904512 3946176 4029972 4062736 4073472 4148544 4193792 4229888 4282368 4316657 4365803 4455904 4494256 4570578 4639232 4718016 4758624 4856832 4912128 5012892 5056038 5111184 5219136 5261568 5373296 5430633 5531392 5709127 5856768 6044958 6094104 6222816 6290688 6344832 6423552 6601946 6683856 6741384 6814912 6958848 7015424 7240844 7428096 7666776 7809024 7892352 8059944 8125472 8297088 8387584 8459776 8633314 8731606 8911808 8988512 9141156 9278464 9436032 9517248 9713664 9824256 9902919 10025784 10112076 10222368 10410761 10438272 10523136 10746592 10861266 11062784 11418254 11713536 12089916 12188208 12445632 12581376 12689664 12847104 12949971 13097409 13203892 13367712 13482768 13629824 13917696 14030848 14481688 15333552 15784704 16119888 16250944 16291899 16594176 16775168 16919552 17127381 17266628 17463212 17823616 17977024 18282312 18556928 18872064 19034496 19805838 20051568 20224152 20444736 20821522 20876544 21046272 21493184 21722532 22125568 22836508 23427072 24179832 24376416 24891264 25162752 25379328 25899942 26194818 26407784 26735424 26965536 27259648 27835392 28963376 29708757 30667104 31232283 31569408 32239776 32501888 32583798 33188352 33839104 34254762 34533256 34926424 35647232 35954048 36564624 37744128 38068992 38849913 39292227 39611676 40103136 40448304 40889472 41643044 41753088 42092544 42986368 43445064 44251136 45673016 48359664 48752832 49782528 50325504 50758656 51382143 51799884 52389636 52815568 53470848 53931072 54519296 55670784 56116541 57926752 59417514 61334208 62464566 63138816 64479552 65003776 65167596 66376704 68509524 69066512 69852848 71294464 71908096 73129248 74218651 75488256 76137984 77699826 78584454 79223352 80206272 80896608 81778944 83286088 83506176 85972736 86890128 91346032 93696849 96719328 97505664 99565056 101517312 102764286 103599768 104779272 105631136 106941696 107862144 109038592 112233082 115853504 118835028 122668416 124929132 126277632 128959104 130007552 130335192 132753408 135339893 137019048 138133024 139705696 142588928 143816192 146258496 148437302 150976512 152275968 155399652 157168908 158446704 160412544 161793216 163557888 166572176 167012352 168349623 171945472 173780256 176982937 182692064 187393698 193438656 195011328 199130112 205528572 207199536 209558544 211262272 213883392 215724288 218077184 222655953 224466164 231707008 237670056 245336832 249858264 257918208 260015104 260670384 270679786 274038096 276266048 279411392 285177856 287632384 292516992 296874604 304551936 310799304 314337816 316893408 320825088 323586432 327115776 333144352 336699246 343890944 347560512 353965874 365384128 374787396 386877312 390022656 398260224 406019679 411057144 414399072 419117088 422524544 427766784 431448576 445311906 448932328 463414016 475340112 490673664 499716528 505048869 515836416 520030208 521340768 530948811 541359572 548076192 552532096 558822784 575264768 585033984 593749208 621598608 628675632 633786816 641650176 647172864 654231552 666288704 667967859 673398492 687781888 695121024 707931748 730768256 749574792 773754624 780045312 812039358 822114288 828798144 838234176 845049088 855533568 862897152 890623812 897864656 926828032 950680224 981347328 999433056 1010097738 1031672832 1042681536 1061897622 1082719144 1096152384 1105064192 1117645568 1170067968 1187498416 1218059037 1243197216 1257351264 1267573632 1283300352 1294345728 1332577408 1335935718 1346796984 1390242048 1415863496 1461536512 1499149584 1547509248 1560090624 1592846433 1624078716 1644228576 1657596288 1676468352 1690098176 1725794304 1781247624 1795729312 1853656064 1901360448 1962694656 1998866112 2020195476 2063345664 2085363072 2123795244 2165438288 2192304768 2210128384 2235291136 2300778181 2340135936 2374996832 2436118074 2486394432 2514702528 2535147264 2566600704 2588691456 2665154816 2671871436 2693593968 2780484096 2831726992 2923073024 2998299168 3095018496 3185692866 3248157432 3288457152 3315192576 3352936704 3380196352 3562495248 3591458624 3707312128 3802720896 3997732224 4040390952 4170726144 4247590488 4330876576 4384609536 4420256768 4470582272 4601556362 4680271872 4749993664 4872236148 4972788864 5029405056 5070294528 5177382912 5330309632 5343742872 5387187936 5560968192 5663453984 5846146048 5996598336 6190036992 6371385732 6496314864 6576914304 6630385152 6705873408 6760392704 6902334543 7124990496 7182917248 7605441792 7995464448 8080781904 8341452288 8495180976 8661753152 8769219072 8840513536 8941164544 9203112724 9499987328 9744472296 9945577728 10058810112 10140589056 10660619264 10687485744 10774375872 11121936384 11326907968 11692292096 11993196672 12742771464 12992629728 13153828608 13260770304 13411746816 13804669086 14249980992 14365834496 15210883584 15990928896 16161563808 16682904576 16990361952 17323506304 17538438144 18406225448 18999974656 19488944592 19891155456 20117620224 20281178112 20707003629 21321238528 21374971488 21548751744 22653815936 23986393344 25485542928 25985259456 26307657216 26521540608 26823493632 27609338172 28499961984 28731668992 30421767168 31981857792 32323127616 33365809152 33980723904 34647012608 35076876288 36812450896 37999949312 38977889184 39782310912 40235240448 41414007258 42749942976 43097503488 45307631872 47972786688 50971085856 51970518912 52615314432 55218676344 56999923968 57463337984 60843534336 63963715584 64646255232 67961447808 69294025216 73624901792 75999898624 77955778368 79564621824 80470480896 82828014516 85499885952 86195006976 90615263744 95945573376 101942171712 103941037824 105230628864 110437352688 113999847936 114926675968 129292510464 135922895616 138588050432 147249803584 151999797248 155911556736 165656029032 170999771904 172390013952 181230527488 191891146752 203884343424 207882075648 220874705376 227999695872 258585020928 271845791232 277176100864 294499607168 311823113472 331312058064 341999543808 344780027904 362461054976 407768686848 415764151296 441749410752 455999391744 517170041856 543691582464 588999214336 623646226944 662624116128 683999087616 815537373696 831528302592 883498821504 1034340083712 1087383164928 1177998428672 1247292453888 1325248232256 1367998175232 1631074747392 1766997643008 2355996857344 2494584907776 2650496464512 3262149494784 3533995286016 4711993714688 5300992929024 7067990572032 10601985858048 14135981144064 21203971716096 42407943432192
- Sum of all divisors σ(n): 147702216130560
- Sum of proper divisors (its aliquot sum) s(n): 105294272698368
- 42407943432192 is an abundant number, because the sum of its proper divisors (105294272698368) is greater than itself. Its abundance is 62886329266176
Bases of 42407943432192
- Binary: 10011010010001110111100110011101101000000000002
- Hexadecimal: 0x2691DE676800
- Base-36: F15XUKU80
Squares and roots of 42407943432192
- 42407943432192 squared (424079434321922) is 1798433666147996588901924864
- 42407943432192 cubed (424079434321923) is 76267873180553911946182203973495462821888
-
The
square root of 42407943432192 is 6512138.1613255103 -
The
cube root of 42407943432192 is 34872.4454805999
Scales and comparisons
How big is 42407943432192?- 42,407,943,432,192 seconds is equal to 1,348,441 years, 22 weeks, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 42,407,943,432,192 would take you about three million, three hundred seventy-one thousand, one hundred three 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 42407943432192 cubic inches would be around 2906 feet tall.
Recreational maths with 42407943432192
- 42407943432192 backwards is 29123434970424
- The number of decimal digits it has is: 14
- The sum of 42407943432192's digits is 54
- More coming soon!
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The information we have on file for 42407943432192 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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