242084281824
242,084,281,824 is an even composite number composed of seven prime numbers multiplied together.
242084281824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 242084281824:
25 × 33 × 7 × 113 × 17 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 17 × 29 × 61)See below for interesting mathematical facts about the number 242084281824 from the Numbermatics database.
Names of 242084281824
- Cardinal: 242084281824 can be written as Two hundred forty-two billion, eighty-four million, two hundred eighty-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 2.42084281824 × 1011
Factors of 242084281824
Divisors of 242084281824
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 29 32 33 34 36 42 44 48 51 54 56 58 61 63 66 68 72 77 84 87 88 96 99 102 108 112 116 119 121 122 126 132 136 144 153 154 168 174 176 183 187 189 198 203 204 216 224 231 232 238 242 244 252 261 264 272 288 297 306 308 319 336 348 352 357 363 366 374 378 396 406 408 427 432 459 462 464 476 484 488 493 504 522 528 544 549 561 594 609 612 616 638 671 672 693 696 714 726 732 748 756 783 792 812 816 847 854 864 918 924 928 952 957 968 976 986 1008 1037 1044 1056 1071 1089 1098 1122 1188 1218 1224 1232 1276 1281 1309 1331 1342 1386 1392 1428 1452 1464 1479 1496 1512 1566 1584 1624 1632 1647 1683 1694 1708 1769 1827 1836 1848 1904 1914 1936 1952 1972 2013 2016 2057 2074 2079 2088 2142 2178 2196 2233 2244 2376 2436 2448 2464 2541 2552 2562 2618 2662 2684 2772 2784 2856 2871 2904 2928 2958 2992 3024 3111 3132 3168 3213 3248 3267 3294 3366 3388 3416 3451 3509 3538 3654 3672 3696 3808 3828 3843 3872 3927 3944 3993 4026 4114 4148 4158 4176 4284 4356 4392 4437 4466 4488 4697 4752 4872 4896 5049 5082 5104 5124 5236 5307 5324 5368 5423 5481 5544 5712 5742 5808 5856 5916 5984 6039 6048 6171 6222 6264 6426 6496 6534 6588 6699 6732 6776 6832 6902 7018 7076 7259 7308 7344 7381 7392 7623 7656 7686 7854 7888 7986 8052 8228 8296 8316 8352 8568 8613 8712 8784 8874 8932 8976 9317 9333 9394 9504 9744 10098 10164 10208 10248 10353 10472 10527 10614 10648 10736 10846 10962 11088 11407 11424 11484 11529 11616 11781 11832 11979 12078 12342 12383 12444 12528 12852 13068 13176 13311 13398 13464 13552 13664 13804 14036 14091 14152 14399 14518 14616 14688 14762 15246 15312 15372 15708 15776 15921 15972 16104 16269 16456 16592 16632 17136 17226 17424 17568 17748 17864 17952 18117 18513 18634 18666 18788 19459 19488 20097 20196 20328 20496 20706 20944 21054 21228 21296 21472 21692 21777 21924 22143 22176 22627 22814 22869 22968 23058 23562 23664 23958 24156 24563 24684 24766 24888 25056 25704 26136 26352 26622 26796 26928 27104 27608 27951 27999 28072 28182 28304 28798 29036 29232 29524 30073 30492 30624 30744 31059 31416 31581 31842 31944 32208 32538 32912 33184 33264 34221 34272 34452 34848 35343 35496 35728 35937 36234 37026 37149 37268 37332 37576 37961 38599 38918 40194 40392 40656 40992 41412 41888 42108 42273 42456 42592 43197 43384 43554 43848 44286 45254 45628 45738 45936 46116 47124 47328 47763 47916 48312 48807 49126 49368 49532 49776 51408 51667 52272 52704 53244 53592 53856 55216 55539 55902 55998 56144 56364 56608 57596 58072 58377 58464 59048 59653 60146 60291 60984 61488 62118 62832 63162 63684 63888 64416 65076 65331 65824 66429 66528 67881 68442 68904 70686 70992 71456 71874 72468 73689 74052 74298 74536 74664 75152 75922 77198 77836 79849 80388 80784 81191 81312 82824 83853 84216 84546 84912 86394 86768 87108 87696 88572 90219 90508 91256 91476 91872 92232 93177 94248 94743 95526 95832 96624 97614 98252 98736 99064 99552 102663 102816 103334 104544 106488 107184 110432 111078 111447 111804 111996 112288 112728 113883 115192 115797 116144 116754 118096 119306 120292 120582 121968 122976 124236 125477 125664 126324 126819 127368 127776 129591 130152 130662 132858 135762 136213 136884 137808 141372 141984 143748 144936 146421 147378 148104 148596 149072 149328 150304 151844 154396 155001 155672 158389 159698 160776 161568 162382 165648 167706 168432 169092 169824 172788 173536 174216 175131 175392 177144 178959 180438 181016 182512 182952 184464 186354 188496 189486 191052 191664 193248 195228 195993 196504 197472 198128 199287 203643 205326 206668 210511 212976 214049 214368 221067 222156 222894 223608 223992 225456 227766 230384 231594 232288 233508 236192 238612 239547 240584 241164 243573 243936 248472 250954 251559 252648 253638 254736 259182 260304 261324 265716 270193 270657 271524 272426 273768 275616 282744 287496 289872 292842 294756 296208 297192 298144 298656 303688 307989 308792 310002 311344 316778 319396 321552 324764 330803 331296 334341 335412 336864 338184 341649 345576 347391 348432 350262 354288 357918 360876 362032 365024 365904 368928 372708 376431 376992 378972 382104 383328 388773 390456 391986 393008 396256 398574 407286 408639 410652 413336 417571 421022 425952 428098 442134 444312 445788 447216 447984 450912 455532 460768 463188 465003 467016 475167 477224 479094 481168 482328 487146 496944 501908 503118 505296 507276 509472 518364 520608 522648 525393 531432 536877 540386 541314 543048 544852 547536 565488 568337 574992 579744 585684 589512 592416 594384 607376 610929 615978 617584 620004 622688 631533 633556 638792 642147 643104 649528 656183 661606 663201 668682 670824 676368 683298 691152 694782 696864 700524 708576 715836 718641 721752 724064 730719 731808 745416 752862 757944 764208 777546 780912 783972 786016 797148 810579 811971 814572 817278 821304 826672 835142 842044 856196 878339 884268 888624 891576 894432 895968 911064 926376 930006 934032 950334 954448 958188 962336 964656 974292 992409 993888 1003816 1006236 1010592 1014552 1024947 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90195336 90940752 92469168 94490352 94860612 95271264 98248491 98890638 99377784 101887324 107880696 108412128 110238744 111149808 113017872 115940748 116442656 116723376 117688032 120081489 120260448 122760792 124018587 125043534 126480816 127145106 130997988 131854184 132503712 136848096 141735528 142906896 143840928 146984992 148335957 149066676 152830986 154587664 160108652 161821044 163681056 165358116 166724712 169526808 173911122 174663984 180390672 181881504 184938336 188980704 189721224 196496982 197781276 198755568 203774648 215761392 220477488 222299616 226035744 229246479 231881496 233446752 240162978 245521584 248037174 250087068 252961632 254290212 260866683 261995976 263708368 280190141 283471056 285813792 296671914 298133352 305661972 309175328 320217304 323642088 330716232 333449424 339053616 347822244 349327968 360244467 360781344 379442448 392993964 395562552 397511136 407549296 431522784 440954976 445007871 458492958 463762992 480325956 491043168 496074348 500174136 508580424 521733366 523991952 527416736 560380282 566942112 593343828 596266704 611323944 640434608 647284176 661432464 666898848 678107232 687739437 695644488 720488934 758884896 785987928 791125104 815098592 840570423 890015742 916985916 927525984 960651912 992148696 1000348272 1017160848 1043466732 1047983904 1080733401 1120760564 1186687656 1192533408 1222647888 1280869216 1294568352 1322864928 1375478874 1391288976 1440977868 1571975856 1582250208 1681140846 1780031484 1833971832 1921303824 1984297392 2000696544 2034321696 2086933464 2161466802 2241521128 2373375312 2445295776 2521711269 2750957748 2782577952 2881955736 3143951712 3362281692 3560062968 3667943664 3842607648 3968594784 4173866928 4322933604 4483042256 4746750624 5043422538 5501915496 5763911472 6724563384 7120125936 7335887328 7565133807 8347733856 8645867208 8966084512 10086845076 11003830992 11527822944 13449126768 14240251872 15130267614 17291734416 20173690152 22007661984 26898253536 30260535228 34583468832 40347380304 60521070456 80694760608 121042140912 242084281824
- Sum of all divisors σ(n): 988136755200
- Sum of proper divisors (its aliquot sum) s(n): 746052473376
- 242084281824 is an abundant number, because the sum of its proper divisors (746052473376) is greater than itself. Its abundance is 503968191552
Bases of 242084281824
- Binary: 111000010111010101100011111101111000002
- Hexadecimal: 0x385D58FDE0
- Base-36: 337MQBC0
Squares and roots of 242084281824
- 242084281824 squared (2420842818242) is 58604799506241856766976
- 242084281824 cubed (2420842818243) is 14187300799908069700681659480244224
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The
square root of 242084281824 is 492020.6111780277 -
The
cube root of 242084281824 is 6232.4030402503
Scales and comparisons
How big is 242084281824?- 242,084,281,824 seconds is equal to 7,697 years, 27 weeks, 4 days, 9 hours, 50 minutes, 24 seconds.
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To count from 1 to 242,084,281,824 would take you about fifteen thousand, three hundred ninety-five 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 242084281824 cubic inches would be around 519.4 feet tall.
Recreational maths with 242084281824
- 242084281824 backwards is 428182480242
- The number of decimal digits it has is: 12
- The sum of 242084281824's digits is 45
- More coming soon!
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"Number 242084281824 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 242084281824 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/242084281824/
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The information we have on file for 242084281824 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 242084281824, math, Factors of 242084281824, curriculum, school, college, exams, university, Prime factorization of 242084281824, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two billion, eighty-four million, two hundred eighty-one thousand, eight hundred twenty-four.