42314419224
42,314,419,224 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42314419224 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42314419224 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 42314419224:
23 × 33 × 72 × 112 × 19 × 37 × 47
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 19 × 37 × 47)See below for interesting mathematical facts about the number 42314419224 from the Numbermatics database.
Names of 42314419224
- Cardinal: 42314419224 can be written as Forty-two billion, three hundred fourteen million, four hundred nineteen thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 4.2314419224 × 1010
Factors of 42314419224
Divisors of 42314419224
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 27 28 33 36 37 38 42 44 47 49 54 56 57 63 66 72 74 76 77 84 88 94 98 99 108 111 114 121 126 132 133 141 147 148 152 154 168 171 188 189 196 198 209 216 222 228 231 242 252 259 264 266 282 294 296 297 308 329 333 342 363 376 378 392 396 399 407 418 423 441 444 456 462 484 504 513 517 518 532 539 564 588 594 616 627 658 666 684 693 703 726 756 777 792 798 814 836 846 847 882 888 893 924 931 968 987 999 1026 1034 1036 1064 1078 1089 1128 1176 1188 1197 1221 1254 1269 1316 1323 1332 1368 1386 1406 1452 1463 1512 1551 1554 1596 1617 1628 1672 1692 1694 1739 1764 1786 1813 1848 1862 1881 1974 1998 2052 2068 2072 2079 2109 2156 2178 2299 2303 2331 2376 2394 2442 2508 2538 2541 2632 2646 2664 2679 2772 2793 2812 2849 2904 2926 2961 3102 3108 3192 3234 3256 3267 3384 3388 3478 3528 3572 3591 3619 3626 3663 3724 3762 3948 3996 4104 4136 4158 4218 4312 4356 4389 4477 4598 4606 4653 4662 4788 4851 4884 4921 5016 5076 5082 5217 5292 5358 5439 5544 5586 5624 5643 5687 5698 5852 5922 5929 6204 6216 6251 6327 6468 6534 6776 6897 6909 6956 6993 7144 7182 7238 7252 7326 7448 7524 7623 7733 7896 7992 8037 8316 8379 8436 8547 8712 8778 8883 8954 9196 9212 9306 9324 9576 9702 9768 9823 9842 10152 10164 10241 10434 10584 10716 10857 10878 10989 11172 11286 11374 11396 11704 11844 11858 12173 12408 12502 12654 12936 13068 13167 13431 13794 13818 13912 13959 13986 14364 14476 14504 14553 14652 14763 15048 15246 15466 15651 16074 16093 16317 16632 16758 16872 17061 17094 17556 17766 17787 17908 18392 18424 18612 18648 18753 18981 19129 19404 19646 19684 19943 20328 20482 20691 20727 20868 21432 21714 21756 21978 22344 22572 22748 22792 22869 23199 23688 23716 24111 24346 25004 25137 25308 25333 25641 26136 26334 26862 27588 27636 27918 27972 28728 28952 29106 29304 29469 29526 30492 30723 30932 31302 31339 32148 32186 32571 32634 33041 33516 34122 34188 34447 35112 35532 35574 35816 36519 37224 37506 37962 38258 38808 39292 39368 39501 39809 39886 40293 40964 41382 41454 41736 43428 43512 43757 43956 44289 45144 45496 45738 46398 46953 47432 48222 48279 48692 48951 50008 50274 50616 50666 51183 51282 52668 53361 53724 54131 55176 55272 55836 55944 56259 57387 58212 58938 59052 59829 60984 61446 61864 62073 62181 62604 62678 64296 64372 65142 65268 66082 67032 68244 68376 68761 68894 69597 71064 71148 73038 75012 75924 75999 76516 76923 78584 79002 79618 79772 80586 81928 82764 82908 85063 85211 86856 87514 87912 88407 88578 91476 92169 92796 93906 94017 96444 96558 97384 97713 97902 99123 100548 101332 102366 102564 103341 105336 106722 107448 108053 108262 109557 111672 112518 112651 114774 116424 117876 118104 119427 119658 120879 122892 124146 124362 125208 125356 128744 130284 130536 131271 132164 132867 133903 136488 137522 137788 139194 142296 144837 146076 150024 151848 151998 153032 153549 153846 158004 159236 159544 160083 161172 162393 165528 165816 168777 170126 170422 172161 175028 176814 177156 179487 182952 184338 185592 187812 188034 192888 193116 195426 195804 198246 201096 202664 204732 205128 206283 206682 208791 210419 213444 216106 216524 219114 219373 225036 225302 227997 229548 231287 235752 238854 239316 241758 245784 248292 248724 250712 255189 255633 260568 262542 264328 265221 265734 267806 275044 275576 276507 278388 278663 282051 289674 292152 297369 303996 307098 307692 310023 316008 318472 320166 322344 324159 324786 328671 337554 337953 340252 340844 344322 350056 353628 354312 358281 358974 363451 368676 375624 376068 378917 386232 390852 391608 393813 396492 401709 409464 412566 413364 417582 420838 426888 432212 433048 434511 438228 438746 450072 450604 455994 459096 462574 477708 478632 481327 483516 487179 496584 497448 510378 511266 516483 525084 530442 531468 535612 538461 550088 553014 556776 557326 564102 579348 594738 595441 607992 614196 615384 618849 620046 631257 640332 648318 649572 657342 658119 675108 675906 680504 681688 683991 688644 693861 707256 716562 717948 726902 737352 752136 756371 757834 765567 766899 781704 787626 792984 803418 825132 826728 835164 835989 841676 846153 864424 869022 876456 877492 892107 901208 911988 925148 930069 937321 955416 962654 967032 972477 974358 1013859 1020756 1022532 1032966 1050168 1060884 1062936 1071224 1074843 1076922 1090353 1106028 1114652 1128204 1136751 1158696 1181439 1189476 1190882 1205127 1228392 1237698 1240092 1262514 1280664 1296636 1299144 1314684 1316238 1350216 1351812 1367982 1377288 1387722 1433124 1435896 1443981 1453804 1461537 1472933 1512742 1515668 1531134 1533798 1575252 1606836 1619009 1650264 1670328 1671978 1683352 1692306 1738044 1754984 1784214 1786323 1823976 1850296 1856547 1860138 1874642 1893771 1925308 1944954 1948716 1974357 2027718 2041512 2045064 2065932 2081583 2121768 2149686 2153844 2180706 2212056 2229304 2256408 2269113 2273502 2296701 2300697 2362878 2378952 2381764 2410254 2475396 2480184 2507967 2525028 2544157 2593272 2629368 2632476 2703624 2735964 2775444 2811963 2866248 2887962 2907608 2917431 2923074 2945866 3025484 3031336 3041577 3062268 3067596 3150504 3213672 3238018 3271059 3343956 3384612 3410253 3476088 3568428 3572646 3615381 3713094 3720276 3749284 3787542 3850616 3889908 3897432 3948714 3997961 4055436 4131864 4163166 4168087 4299372 4307688 4331943 4361412 4418799 4538226 4547004 4593402 4601394 4725756 4763528 4820508 4857027 4950792 5015934 5050056 5088314 5264952 5294597 5358969 5471928 5550888 5623926 5681313 5775924 5834862 5846148 5891732 5923071 6050968 6083154 6124536 6135192 6244749 6476036 6542118 6687912 6769224 6807339 6820506 7136856 7145292 7230762 7426188 7440552 7498568 7523901 7575084 7632471 7779816 7897428 7995922 8110872 8326332 8336174 8435889 8598744 8663886 8722824 8837598 9076452 9094008 9186804 9202788 9451512 9641016 9714054 9813177 10031868 10176628 10230759 10310531 10589194 10717938 11247852 11362626 11551848 11669724 11692296 11783464 11846142 11993883 12166308 12489498 12504261 12952072 12995829 13084236 13256397 13614678 13641012 14290584 14461524 14571081 14852376 15047802 15150168 15264942 15794856 15883791 15991844 16076907 16652664 16672348 16871778 17327772 17675196 17809099 18152904 18373608 18405576 19428108 19626354 20063736 20353256 20422017 20461518 20621062 21178388 21435876 22495704 22725252 22897413 23339448 23692284 23987766 24332616 24978996 25008522 25307667 25991658 26168472 26512794 27229356 27282024 27985727 28923048 29142162 30095604 30529884 30931593 31767582 31983688 32153814 33344696 33743556 34655544 35350392 35618198 35981649 37512783 38856216 39252708 39769191 40844034 40923036 41242124 42356776 42871752 43713243 45450504 45794826 47384568 47651373 47975532 49957992 50017044 50615334 51983316 53025588 53427297 54458712 55971454 58284324 60191208 61059768 61863186 63535164 64307628 67487112 68692239 71236396 71963298 75025566 78505416 79538382 81688068 81846072 82484248 83957181 87426486 91589652 92794779 95302746 95951064 100034088 101230668 103966632 106051176 106854594 107944947 111942908 112538349 116568648 123726372 127070328 128615256 137384478 142472792 142954119 143926596 150051132 159076764 160281891 163376136 167914362 174852972 183179304 185589558 190605492 195900089 202461336 213709188 215889894 223885816 225076698 247452744 251871543 274768956 278384337 285908238 287853192 300102264 318153528 320563782 335828724 349705944 371179116 381210984 391800178 427418376 431779788 450153396 480845673 503743086 549537912 556768674 571816476 587700267 641127564 671657448 742358232 755614629 783600356 863559576 900306792 961691346 1007486172 1113537348 1143632952 1175400534 1282255128 1511229258 1567200712 1763100801 1923382692 2014972344 2227074696 2350801068 3022458516 3526201602 3846765384 4701602136 5289302403 6044917032 7052403204 10578604806 14104806408 21157209612 42314419224
- Sum of all divisors σ(n): 165932928000
- Sum of proper divisors (its aliquot sum) s(n): 123618508776
- 42314419224 is an abundant number, because the sum of its proper divisors (123618508776) is greater than itself. Its abundance is 81304089552
Bases of 42314419224
- Binary: 1001110110100010001011001100000110002
- Hexadecimal: 0x9DA22CC18
- Base-36: JFSWUU0
Squares and roots of 42314419224
- 42314419224 squared (423144192242) is 1790510074264420762176
- 42314419224 cubed (423144192243) is 75764393907220073558244866471424
-
The
square root of 42314419224 is 205704.6893583129 -
The
cube root of 42314419224 is 3484.6791337785
Scales and comparisons
How big is 42314419224?- 42,314,419,224 seconds is equal to 1,345 years, 24 weeks, 2 days, 5 hours, 20 minutes, 24 seconds.
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To count from 1 to 42,314,419,224 would take you about two thousand, six hundred ninety 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 42314419224 cubic inches would be around 290.4 feet tall.
Recreational maths with 42314419224
- 42314419224 backwards is 42291441324
- 42314419224 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42314419224's digits is 36
- More coming soon!
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"Number 42314419224 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42314419224 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42314419224/
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The information we have on file for 42314419224 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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