345828813120
345,828,813,120 is an even composite number composed of seven prime numbers multiplied together.
345828813120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 345828813120:
26 × 35 × 5 × 72 × 17 × 19 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 19 × 281)See below for interesting mathematical facts about the number 345828813120 from the Numbermatics database.
Names of 345828813120
- Cardinal: 345828813120 can be written as Three hundred forty-five billion, eight hundred twenty-eight million, eight hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.4582881312 × 1011
Factors of 345828813120
Divisors of 345828813120
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 27 28 30 32 34 35 36 38 40 42 45 48 49 51 54 56 57 60 63 64 68 70 72 76 80 81 84 85 90 95 96 98 102 105 108 112 114 119 120 126 133 135 136 140 144 147 152 153 160 162 168 170 171 180 189 190 192 196 204 210 216 224 228 238 240 243 245 252 255 266 270 272 280 281 285 288 294 304 306 315 320 323 324 336 340 342 357 360 378 380 392 399 405 408 420 432 441 448 456 459 476 480 486 490 504 510 513 532 540 544 560 562 567 570 576 588 595 608 612 630 646 648 665 672 680 684 714 720 735 756 760 765 784 798 810 816 833 840 843 855 864 882 912 918 931 945 952 960 969 972 980 1008 1020 1026 1064 1071 1080 1088 1120 1124 1134 1140 1176 1190 1197 1215 1216 1224 1260 1292 1296 1323 1330 1344 1360 1368 1377 1405 1428 1440 1470 1512 1520 1530 1539 1568 1596 1615 1620 1632 1666 1680 1686 1701 1710 1728 1764 1785 1824 1836 1862 1890 1904 1938 1944 1960 1967 1995 2016 2040 2052 2128 2142 2160 2205 2240 2248 2261 2268 2280 2295 2352 2380 2394 2430 2448 2499 2520 2529 2565 2584 2592 2646 2660 2720 2736 2754 2793 2810 2835 2856 2880 2907 2940 3024 3040 3060 3078 3136 3192 3213 3230 3240 3264 3332 3360 3372 3402 3420 3528 3570 3591 3648 3672 3724 3780 3808 3876 3888 3920 3934 3969 3990 4032 4080 4104 4131 4165 4215 4256 4284 4320 4410 4496 4522 4536 4560 4590 4617 4655 4704 4760 4777 4788 4845 4860 4896 4998 5040 5058 5130 5168 5184 5292 5320 5339 5355 5440 5472 5508 5586 5620 5670 5712 5814 5880 5901 5985 6048 6080 6120 6156 6384 6426 6460 6480 6615 6664 6720 6744 6783 6804 6840 6885 7056 7140 7182 7344 7448 7497 7560 7587 7616 7695 7752 7776 7840 7868 7938 7980 8160 8208 8262 8330 8379 8430 8505 8512 8568 8640 8721 8820 8992 9044 9072 9120 9180 9234 9310 9408 9520 9554 9576 9639 9690 9720 9792 9835 9996 10080 10116 10260 10336 10584 10640 10678 10710 10773 10944 11016 11172 11240 11305 11340 11424 11628 11760 11802 11907 11970 12096 12240 12312 12495 12645 12768 12852 12920 12960 13230 13328 13488 13566 13608 13680 13769 13770 13965 14112 14280 14331 14364 14535 14688 14896 14994 15120 15174 15390 15504 15552 15680 15736 15827 15876 15960 16017 16065 16320 16416 16524 16660 16758 16860 17010 17136 17442 17640 17703 17955 17984 18088 18144 18240 18360 18468 18620 19040 19108 19152 19278 19380 19440 19670 19845 19992 20160 20232 20349 20520 20655 20672 21168 21280 21356 21420 21546 22032 22344 22480 22491 22610 22680 22761 22848 23085 23256 23520 23604 23814 23885 23940 24480 24624 24990 25137 25290 25536 25704 25840 25920 26163 26460 26656 26695 26976 27132 27216 27360 27538 27540 27930 28224 28560 28662 28728 28917 29070 29376 29505 29792 29988 30240 30348 30780 31008 31472 31654 31752 31920 32034 32130 32319 32832 33048 33320 33439 33516 33720 33915 34020 34272 34884 35280 35406 35910 36176 36288 36720 36936 37240 37373 37485 37935 38080 38216 38304 38556 38760 38880 39340 39690 39984 40464 40698 41040 41307 41310 41895 42336 42560 42712 42840 42993 43092 43605 44064 44688 44960 44982 45220 45360 45522 46170 46512 47040 47208 47481 47628 47770 47880 48051 48195 48960 49248 49980 50274 50580 51408 51680 52326 52920 53109 53312 53390 53865 53952 54264 54432 54720 55076 55080 55860 57120 57324 57456 57834 58140 59010 59535 59584 59976 60480 60696 61047 61560 62016 62944 63308 63504 63840 64068 64260 64638 66096 66640 66878 67032 67440 67473 67830 68040 68283 68544 68845 69768 70560 70812 71655 71820 72352 73440 73872 74480 74746 74970 75411 75870 76432 76608 77112 77520 77760 78489 78680 79135 79380 79968 80085 80928 81396 82080 82614 82620 83790 84672 85424 85680 85986 86184 87210 88128 88515 89376 89920 89964 90440 90720 90763 91044 92340 93024 94416 94962 95256 95540 95760 96102 96390 98496 99960 100317 100548 101160 101745 102816 103360 104652 105840 106218 106780 107730 108528 108864 110152 110160 111720 112119 112455 113805 114240 114648 114912 115668 116280 118020 119070 119952 121392 122094 123120 123921 125685 125888 126616 127008 127680 128136 128520 128979 129276 130815 132192 133280 133756 134064 134880 134946 135660 136080 136566 137690 139536 141120 141624 142443 143310 143640 144153 144585 144704 146880 147744 148960 149492 149940 150822 151740 152864 154224 155040 156978 157360 158270 158760 159327 159936 160170 161595 161856 162792 164160 165228 165240 167195 167580 170848 171360 171972 172368 174420 177030 178752 179928 180880 181440 181526 182088 183141 184680 186048 186865 188832 189924 190512 191080 191520 192204 192780 199920 200634 201096 202320 202419 203490 205632 206535 209304 211680 212436 213560 214965 215460 217056 220304 220320 223440 224238 224910 226233 227610 229296 229824 231336 232560 234073 236040 237405 238140 239904 240255 242784 244188 246240 247842 251370 253232 254016 256272 257040 257958 258552 261611 261630 264384 265545 266560 267512 268128 269760 269892 271320 272160 272289 273132 275380 279072 283248 284886 286620 287280 288306 289170 295488 297920 298984 299880 300951 301644 303480 305235 305728 308448 310080 313956 314720 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3717630 3745168 3798480 3810240 3812046 3823848 3844080 3845961 3869370 3907008 3924165 3965472 4012680 4021920 4036284 4048380 4084335 4127328 4185776 4186080 4213314 4248720 4273290 4318272 4324590 4356624 4370112 4395384 4406080 4447387 4461156 4484760 4514265 4524660 4558176 4585920 4612896 4626720 4643244 4681460 4708998 4779810 4815216 4826304 4883760 4901202 4956840 5023296 5045355 5064640 5082728 5098464 5125440 5127948 5159160 5171040 5189508 5232220 5350240 5381712 5397840 5417118 5445780 5462640 5494230 5576445 5617752 5664960 5697720 5718069 5766120 5804055 5808832 5860512 5948208 5979680 6019020 6032880 6054426 6190992 6278664 6279120 6319971 6353410 6373080 6409935 6420288 6477408 6486885 6511680 6534936 6609120 6691734 6727140 6837264 6878880 6919344 7022190 7063497 7175616 7197120 7222824 7239456 7261040 7283520 7325640 7351803 7435260 7490336 7596960 7624092 7647696 7688160 7691922 7738740 7848330 7930944 8025360 8043840 8072568 8096760 8125677 8168670 8254656 8371552 8372160 8426628 8497440 8546580 8649180 8713248 8790768 8894774 8922312 8969520 9028530 9049320 9081639 9116352 9225792 9253440 9286488 9362920 9417996 9530115 9559620 9630432 9767520 9802404 9913680 10090710 10165456 10196928 10255896 10318320 10342080 10379016 10464440 10533285 10700480 10763424 10795680 10834236 10891560 10925280 10988460 11152890 11235504 11395440 11436138 11532240 11608110 11721024 11772495 11896416 11959360 12038040 12065760 12108852 12253005 12381984 12557328 12558240 12639942 12706820 12746160 12819870 12954816 12973770 13069872 13218240 13342161 13383468 13454280 13542795 13674528 13757760 13838688 14044380 14126994 14445648 14478912 14522080 14651280 14703606 14870520 14980672 15136065 15193920 15248184 15295392 15376320 15383844 15477480 15696660 16050720 16145136 16193520 16251354 16337340 16729335 16743104 16853256 16994880 17093160 17154207 17298360 17426496 17581536 17789548 17844624 17939040 18057060 18098640 18163278 18572976 18725840 18835992 18959913 19060230 19119240 19229805 19260864 19535040 19604808 19827360 20181420 20330912 20511792 20636640 20758032 20928880 21066570 21190491 21526848 21591360 21668472 21783120 21850560 21976920 22055409 22236935 22305780 22471008 22790880 22872276 23064480 23216220 23544990 23792832 24076080 24131520 24217704 24506010 24763968 25114656 25116480 25279884 25413640 25492320 25639740 25947540 26139744 26684322 26766936 26908560 27085590 27349056 27677376 28088760 28253988 28590345 28891296 29044160 29302560 29407212 29741040 30272130 30496368 30590784 30767688 30954960 31393320 31599855 32101440 32290272 32387040 32502708 32674680 33458670 33706512 34186320 34308414 34596720 35163072 35317485 35579096 35689248 35878080 36114120 36197280 36326556 36759015 37145952 37451680 37671984 37919826 38120460 38238480 38459610 39209616 39654720 40026483 40362840 40628385 40661824 41023584 41273280 41516064 41857760 42133140 42380982 43336944 43566240 43953840 44110818 44473870 44611560 44942016 45408195 45581760 45744552 46128960 46432440 47089980 48152160 48435408 49012020 50229312 50559768 50827280 50984640 51279480 51462621 51895080 52279488 53368644 53533872 53817120 54171180 56177520 56507976 56879739 57180690 57782592 58605120 58814424 59482080 60544260 60992736 61535376 61909920 62786640 63199710 63571473 64580544 64774080 65005416 65349360 66710805 66917340 67413024 68372640 68616828 69193440 70634970 71158192 71378496 72228240 72394560 72653112 73518030 74291904 74903360 75343968 75839652 76240920 76476960 76919220 78419232 80052966 80725680 81256770 82047168 83032128 83715520 84266280 84761964 85771035 86673888 87132480 87907680 88221636 88947740 89223120 90816390 91489104 92864880 94179960 94799565 96304320 96870816 98024040 101119536 101654560 102558960 102925242 103790160 105952455 106737288 107067744 107634240 108342360 110277045 112355040 113015952 113759478 114361380 117628848 118964160 120079449 121088520 121985472 123070752 123819840 125573280 126399420 127142946 130010832 130698720 133421610 133834680 134826048 136745280 137233656 138386880 141269940 142316384 144456480 145306224 147036060 150687936 151679304 152481840 152953920 153838440 154387863 156838464 160105932 161451360 162513540 168532560 169523928 171542070 173347776 175815360 176443272 177895480 178446240 181632780 182978208 185729760 188359920 189599130 193741632 196048080 200132415 202239072 203309120 205117920 205850484 207580320 211904910 213474576 214135488 216684720 220554090 224710080 226031904 227518956 228722760 235257696 240158898 242177040 246141504 251146560 252798840 254285892 257313105 260021664 261397440 266843220 267669360 274467312 282539880 284398695 284632768 288912960 290612448 294072120 303358608 304963680 307676880 308775726 317857365 320211864 322902720 325027080 337065120 339047856 343084140 352886544 355790960 356892480 360238347 363265560 365956416 371459520 376719840 379198260 392096160 400264830 404478144 410235840 411700968 415160640 423809820 426949152 433369440 441108180 452063808 455037912 457445520 470515392 480317796 484354080 505597680 508571784 514626210 520043328 533686440 535338720 548934624 565079760 568797390 581224896 588144240 600397245 606717216 609927360 615353760 617551452 635714730 640423728 650054160 674130240 678095712 686168280 705773088 711581920 720476694 726531120 753439680 758396520 771939315 784192320 800529660 823401936 847619640 853898304 866738880 882216360 910075824 914891040 960635592 968708160 1011195360 1017143568 1029252420 1067372880 1070677440 1080715041 1097869248 1130159520 1137594780 1176288480 1200794490 1213434432 1230707520 1235102904 1271429460 1280847456 1300108320 1356191424 1372336560 1411546176 1423163840 1440953388 1453062240 1516793040 1543878630 1601059320 1646803872 1695239280 1764432720 1801191735 1820151648 1829782080 1921271184 2022390720 2034287136 2058504840 2134745760 2161430082 2260319040 2275189560 2352576960 2401588980 2470205808 2542858920 2561694912 2600216640 2744673120 2881906776 2906124480 3033586080 3087757260 3202118640 3293607744 3390478560 3528865440 3602383470 3640303296 3842542368 4068574272 4117009680 4269491520 4322860164 4550379120 4803177960 4940411616 5085717840 5403575205 5489346240 5763813552 6067172160 6175514520 6404237280 6780957120 7057730880 7204766940 7685084736 8234019360 8645720328 9100758240 9606355920 9880823232 10171435680 10807150410 11527627104 12351029040 12808474560 14409533880 16468038720 17291440656 18201516480 19212711840 20342871360 21614300820 23055254208 24702058080 28819067760 34582881312 38425423680 43228601640 49404116160 57638135520 69165762624 86457203280 115276271040 172914406560 345828813120
- Sum of all divisors σ(n): 1605028763520
- Sum of proper divisors (its aliquot sum) s(n): 1259199950400
- 345828813120 is an abundant number, because the sum of its proper divisors (1259199950400) is greater than itself. Its abundance is 913371137280
Bases of 345828813120
- Binary: 1010000100001010000000011101001010000002
- Hexadecimal: 0x508500E940
- Base-36: 4EVDJO00
Squares and roots of 345828813120
- 345828813120 squared (3458288131202) is 119597567983987884134400
- 345828813120 cubed (3458288131203) is 41360284987941041134659630563328000
-
The
square root of 345828813120 is 588072.1155776731 -
The
cube root of 345828813120 is 7019.1909652789
Scales and comparisons
How big is 345828813120?- 345,828,813,120 seconds is equal to 10,996 years, 14 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 345,828,813,120 would take you about twenty-one thousand, nine hundred ninety-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 345828813120 cubic inches would be around 584.9 feet tall.
Recreational maths with 345828813120
- 345828813120 backwards is 021318828543
- 345828813120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345828813120's digits is 45
- More coming soon!
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"Number 345828813120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 345828813120 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/345828813120/
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The information we have on file for 345828813120 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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