3429305142120
3,429,305,142,120 is an even composite number composed of eight prime numbers multiplied together.
3429305142120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 3429305142120:
23 × 37 × 5 × 11 × 13 × 31 × 37 × 239
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 31 × 37 × 239)See below for interesting mathematical facts about the number 3429305142120 from the Numbermatics database.
Names of 3429305142120
- Cardinal: 3429305142120 can be written as Three trillion, four hundred twenty-nine billion, three hundred five million, one hundred forty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.42930514212 × 1012
Factors of 3429305142120
Divisors of 3429305142120
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 31 33 36 37 39 40 44 45 52 54 55 60 62 65 66 72 74 78 81 88 90 93 99 104 108 110 111 117 120 124 130 132 135 143 148 155 156 162 165 180 185 186 195 198 216 220 222 234 239 243 248 260 264 270 279 286 296 297 310 312 324 330 333 341 351 360 370 372 390 396 403 405 407 429 440 444 465 468 478 481 486 495 520 540 555 558 572 585 594 620 648 660 666 682 702 715 717 729 740 744 780 792 806 810 814 837 858 888 891 930 936 956 962 972 990 999 1023 1053 1080 1110 1116 1144 1147 1170 1188 1195 1209 1215 1221 1240 1287 1320 1332 1364 1395 1404 1430 1434 1443 1458 1480 1485 1560 1612 1620 1628 1665 1674 1705 1716 1755 1782 1860 1912 1924 1944 1980 1998 2015 2035 2046 2106 2145 2151 2187 2220 2232 2294 2340 2376 2390 2405 2418 2430 2442 2511 2574 2629 2664 2673 2728 2790 2808 2860 2868 2886 2916 2970 2997 3069 3107 3159 3224 3240 3256 3330 3348 3410 3432 3441 3510 3564 3585 3627 3645 3663 3720 3848 3861 3960 3996 4030 4070 4092 4185 4212 4290 4302 4329 4374 4433 4440 4455 4588 4680 4780 4810 4836 4860 4884 4995 5022 5115 5148 5258 5265 5291 5346 5580 5720 5735 5736 5772 5832 5940 5994 6045 6105 6138 6214 6318 6435 6453 6660 6696 6820 6882 7020 7128 7170 7215 7254 7290 7326 7409 7533 7722 7887 7992 8019 8060 8140 8184 8370 8424 8580 8604 8658 8748 8843 8866 8910 8991 9176 9207 9321 9477 9560 9620 9672 9720 9768 9990 10044 10230 10296 10323 10516 10530 10582 10692 10755 10881 10935 10989 11160 11470 11544 11583 11880 11988 12090 12210 12276 12428 12555 12617 12636 12870 12906 12987 13145 13299 13320 13365 13640 13764 14040 14340 14430 14508 14580 14652 14818 14911 14985 15066 15345 15444 15535 15774 15795 15873 16038 16120 16280 16740 17160 17205 17208 17316 17496 17686 17732 17820 17982 18135 18315 18414 18642 18954 19240 19305 19359 19980 20088 20460 20646 21032 21060 21164 21384 21510 21645 21762 21870 21978 22165 22227 22599 22940 23166 23661 23976 24057 24180 24420 24552 24856 25110 25234 25272 25740 25812 25974 26290 26455 26529 26598 26730 26973 27528 27621 27963 28431 28680 28860 29016 29160 29304 29636 29822 29970 30132 30690 30888 30969 31070 31548 31590 31746 32076 32265 32643 32967 33480 34177 34410 34632 34749 35372 35464 35640 35964 36270 36630 36828 37045 37284 37665 37851 37908 38610 38718 38961 39435 39897 39960 40095 40920 41292 42120 42328 43020 43290 43524 43740 43956 44215 44330 44454 44733 44955 45198 45880 46035 46332 46605 47322 47385 47619 48114 48360 48840 50220 50468 51480 51615 51624 51948 52580 52910 53058 53196 53460 53946 54405 54945 55242 55926 56862 57720 57915 58077 59272 59644 59940 60264 61380 61938 62140 63085 63096 63180 63492 64152 64530 64935 65286 65934 66495 66681 67797 68354 68820 69498 70744 70983 71928 72540 73260 73656 74090 74555 74568 75330 75702 75816 77220 77436 77922 78870 79365 79587 79794 80190 80919 81499 82584 82863 83889 86040 86580 87048 87480 87912 88430 88660 88908 89466 89910 90396 92070 92664 92907 93210 94644 94770 95238 96228 96317 96795 97273 97929 98901 100440 100936 102531 103230 103896 104247 105160 105820 106116 106392 106920 107892 108810 109890 110484 111135 111852 112995 113553 113724 114959 115830 116154 116883 118305 119288 119691 119880 120285 122760 123876 124280 126170 126360 126984 129060 129870 130572 131868 132645 132990 133362 134199 134865 135594 136708 137640 138105 138996 139815 141966 142155 142857 145080 146520 148180 149110 150660 151404 154440 154845 154872 155844 157740 158730 159174 159588 160380 161838 162998 163215 164021 164835 165726 167778 170885 173160 173745 174231 176860 177320 177816 178932 179820 180792 184140 185814 186420 189255 189288 189540 190476 192456 192634 193590 194546 194805 195858 197802 199485 200043 205062 206460 208494 211640 212232 212949 215784 217620 219780 220968 222270 223665 223704 225990 227106 227448 229918 231660 232308 233766 236610 238095 238761 239382 240570 244497 247752 248589 251667 252340 258120 259740 261144 263736 265290 265980 266724 268398 269730 271188 273416 274133 276210 277992 278721 279630 283932 284310 285714 288951 290385 291819 293787 296360 296703 298220 301320 302808 307593 309690 311688 312741 315480 317460 318348 319176 320760 323676 325996 326430 328042 329670 331452 333405 335556 338985 340659 341770 344877 347490 348462 350649 353720 354915 357864 359073 359640 368280 371628 372840 378510 379080 380952 385268 387180 389092 389610 391716 395604 397935 398970 400086 402597 404595 407495 410124 412920 414315 416988 419445 425898 428571 435240 439560 444540 447330 451980 454212 459836 463320 464535 464616 467532 473220 476190 477522 478764 481140 481585 486365 488994 489645 492063 494505 497178 503334 504680 512655 519480 521235 522693 530580 531960 533448 536796 539460 542376 548266 552420 557442 559260 567765 567864 568620 571428 574795 577902 580770 583638 584415 587574 593406 596440 598455 600129 615186 619380 625482 634920 636696 638847 647352 651992 652860 656084 659340 662904 666810 670995 671112 677970 681318 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37936470 38141532 38330820 38571390 38679282 38779884 39008385 39201019 39395565 39608514 39857103 40879080 41385240 41525055 42077880 42379480 42764748 42976980 43088760 43209288 43480476 44009460 44285670 44409546 45231945 45300060 45523764 45988965 45996984 46285668 46558395 46810062 47274678 47676915 48311640 48474855 49343940 49830066 50169780 50581960 51428520 51572376 52011180 52527420 52811352 53142804 53455935 54011610 54278334 54350595 54360072 55186758 55366740 55870074 56904705 57212298 57496230 57857085 59047560 59212728 59412771 60309260 61318620 62077860 62413416 63032904 63569220 64147122 64465470 64633140 64813932 65220714 66014190 66428505 66440088 66614319 67950090 68285646 70215093 70912017 71274580 72015480 72371112 72467460 73582344 74015910 74493432 74745099 75872940 76283064 76661640 77142780 77358564 77559768 78016770 78402038 78791130 79217028 79714206 81017415 81417501 83050110 83805111 85529496 85818447 85953960 86960952 88018920 88571340 88819092 90463890 90600120 91047528 91977930 92571336 93116790 93620124 94549356 95353830 96220683 96698205 96949710 98687880 99021285 99660132 100339560 102428469 104022360 105054840 106285608 106911870 108023220 108556668 108701190 110373516 110733480 111023865 111740148 113809410 114424596 114992460 115714170 117025155 117603057 118186695 118825542 119571309 120618520 122637240 124155720 124575165 127138440 128294244 128930940 129266280 129627864 130441428 132028380 132857010 133228638 135695835 135900180 136571292 137966895 139675185 140430186 141824034 142549160 143030745 144934920 148031820 149490198 151745880 154285560 154717128 156033540 156804076 157582260 158434056 159428412 160367805 162034830 162835002 163051785 166100220 167610222 170714115 171636894 177142680 177638184 178238313 180927780 183955860 186233580 187240248 189098712 190707660 192441366 193396410 193899420 196005095 198042570 199285515 199320264 199842957 204856938 210645279 212736051 213823740 216046440 217113336 217402380 220747032 222047730 223480296 227618820 228849192 229984920 231428340 234050310 235206114 236373390 237651084 239142618 244252503 249150330 251415333 256588488 257455341 257861880 260882856 264056760 265714020 266457276 271391670 271800360 273142584 275933790 279350370 280860372 283648068 286061490 288662049 296063640 297063855 298980396 307285407 312067080 313608152 315164520 318856824 320735610 324069660 325670004 326103570 332200440 333071595 335220444 341428230 343273788 351075465 352809171 354560085 356476626 358713927 361855560 367911720 372467160 373725495 381415320 384882732 386792820 387798840 392010190 396085140 398571030 399685914 407087505 409713876 419025555 421290558 425472102 427647480 429092235 434804760 444095460 455237640 462856680 468100620 470412228 472746780 475302168 478285236 481103415 488505006 498300660 502830666 512142345 514910682 531428040 532914552 542783340 551867580 558700740 561720744 567296136 572122980 577324098 588015285 594127710 597856545 597960792 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2106452790 2116855026 2127360510 2198272527 2309296392 2317098069 2352061140 2376510840 2391426180 2398115484 2442525030 2458283256 2514153330 2574553410 2597958441 2664572760 2765568663 2808603720 2822473368 2836480680 2869711416 2886620490 2931030036 2989803960 2997644355 3072854070 3089464092 3175282539 3256700040 3352204440 3432737880 3463944588 3528091710 3564766260 3587139270 3663787545 3687424884 3848827320 3861830115 3996859140 4097138760 4212905580 4233710052 4254721020 4329930735 4396545054 4609281105 4634196138 4704122280 4782852360 4796230968 4885050060 5028306660 5149106820 5195916882 5292137565 5531137326 5773240980 5862060072 5995288710 6145708140 6178928184 6350565078 6594817581 6927889176 7056183420 7129532520 7174278540 7327575090 7374849768 7723660230 7793875323 7993718280 8425811160 8467420104 8509442040 8659861470 8793090108 9218562210 9268392276 9525847617 9770100120 10056613320 10298213640 10391833764 10584275130 10991362635 11062274652 11546481960 11585490345 11990577420 12291416280 12701130156 12989792205 13189635162 13827843315 14112366840 14348557080 14655150180 15447320460 15587750646 15876412695 17319722940 17586180216 18437124420 18536784552 19051695234 20783667528 21168550260 21982725270 22124549304 23170980690 23981154840 25402260312 25979584410 26379270324 27655686630 28577542851 29310300360 30894640920 31175501292 31752825390 32974087905 34639445880 36874248840 38103390468 38969376615 42337100520 43965450540 46341961380 47629238085 51959168820 52758540648 55311373260 57155085702 62351002584 63505650780 65948175810 76206780936 77938753230 85732628553 87930901080 92683922760 95258476170 103918337640 110622746520 114310171404 127011301560 131896351620 142887714255 155877506460 171465257106 190516952340 228620342808 263792703240 285775428510 311755012920 342930514212 381033904680 428663142765 571550857020 685861028424 857326285530 1143101714040 1714652571060 3429305142120
- Sum of all divisors σ(n): 14473396224000
- Sum of proper divisors (its aliquot sum) s(n): 11044091081880
- 3429305142120 is an abundant number, because the sum of its proper divisors (11044091081880) is greater than itself. Its abundance is 7614785939760
Bases of 3429305142120
- Binary: 1100011110011100101000001111001011011010002
- Hexadecimal: 0x31E7283CB68
- Base-36: 17REFQMI0
Squares and roots of 3429305142120
- 3429305142120 squared (34293051421202) is 11760133757770673398094400
- 3429305142120 cubed (34293051421203) is 40329087167541968791820219729176128000
-
The
square root of 3429305142120 is 1851838.3142488439 -
The
cube root of 3429305142120 is 15080.0243764659
Scales and comparisons
How big is 3429305142120?- 3,429,305,142,120 seconds is equal to 109,041 years, 15 weeks, 2 days, 17 hours, 42 minutes.
-
To count from 1 to 3,429,305,142,120 would take you about two hundred seventy-two thousand, six 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 3429305142120 cubic inches would be around 1256.7 feet tall.
Recreational maths with 3429305142120
- 3429305142120 backwards is 0212415039243
- 3429305142120 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3429305142120's digits is 36
- More coming soon!
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"Number 3429305142120 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 3429305142120 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/3429305142120/
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The information we have on file for 3429305142120 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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