42945746905600
42,945,746,905,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 42945746905600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
42945746905600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42945746905600:
29 × 52 × 73 × 11 × 232 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 23 × 23 × 41 × 41)See below for interesting mathematical facts about the number 42945746905600 from the Numbermatics database.
Names of 42945746905600
- Cardinal: 42945746905600 can be written as Forty-two trillion, nine hundred forty-five billion, seven hundred forty-six million, nine hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 4.29457469056 × 1013
Factors of 42945746905600
Divisors of 42945746905600
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 41 44 46 49 50 55 56 64 70 77 80 82 88 92 98 100 110 112 115 128 140 154 160 161 164 175 176 184 196 200 205 220 224 230 245 253 256 275 280 287 308 320 322 328 343 350 352 368 385 392 400 410 440 448 451 460 490 506 512 529 539 550 560 574 575 616 640 644 656 686 700 704 736 770 784 800 805 820 880 896 902 920 943 980 1012 1025 1058 1078 1100 1120 1127 1148 1150 1225 1232 1265 1280 1288 1312 1372 1400 1408 1435 1472 1540 1568 1600 1610 1640 1681 1715 1760 1771 1792 1804 1840 1886 1925 1960 2009 2024 2050 2116 2156 2200 2240 2254 2255 2296 2300 2450 2464 2530 2560 2576 2624 2645 2695 2744 2800 2816 2870 2944 3080 3136 3157 3200 3220 3280 3362 3430 3520 3542 3584 3608 3680 3703 3772 3773 3850 3920 4018 4025 4048 4100 4232 4312 4400 4480 4508 4510 4592 4600 4715 4900 4928 5060 5152 5248 5290 5390 5488 5600 5632 5635 5740 5819 5888 6160 6272 6314 6325 6400 6440 6560 6601 6724 6860 7040 7084 7175 7216 7360 7406 7544 7546 7700 7840 7889 8036 8050 8096 8200 8405 8464 8575 8624 8800 8855 8960 9016 9020 9184 9200 9430 9800 9856 10045 10120 10304 10373 10496 10580 10780 10976 11200 11270 11275 11480 11638 11767 11776 12320 12397 12544 12628 12650 12800 12880 13120 13202 13225 13448 13475 13720 14063 14080 14168 14350 14432 14720 14812 15088 15092 15400 15680 15778 15785 16072 16100 16192 16400 16810 16928 17150 17248 17600 17710 17920 18032 18040 18368 18400 18491 18515 18860 18865 19600 19712 20090 20240 20608 20746 20992 21160 21560 21689 21952 22099 22400 22540 22550 22960 23276 23534 23575 24640 24794 25088 25256 25300 25760 25921 26240 26404 26450 26896 26950 27440 28126 28160 28175 28336 28700 28864 29095 29440 29624 30176 30184 30800 31360 31556 31570 32144 32200 32384 32800 33005 33620 33856 34300 34496 35200 35420 36064 36080 36736 36800 36982 37030 37720 37730 38663 39200 39424 39445 40180 40480 40733 41216 41492 42025 42320 43120 43378 43904 44198 44275 44800 45080 45100 45920 46207 46552 47068 47150 49280 49588 50225 50512 50600 51520 51842 51865 52480 52808 52900 53792 53900 54880 56252 56350 56672 57400 57728 58190 58835 58880 59248 60352 60368 61600 61985 62720 63112 63140 64288 64400 64768 65600 66010 67240 67712 68600 68992 70315 70400 70840 72128 72160 72611 73472 73600 73964 74060 75440 75460 77326 78400 78890 78925 80360 80960 81466 82369 82432 82984 84050 84640 86240 86756 86779 87808 88396 88550 89600 90160 90200 91840 92414 92455 92575 93104 94136 94300 94325 98560 99176 100450 101024 101200 103040 103684 103730 104960 105616 105800 107584 107800 108445 109760 110495 112504 112700 113344 114800 115456 116380 117670 118496 120704 120736 123200 123970 125440 126224 126280 128576 128800 129437 129536 129605 131200 132020 134480 135424 137200 137984 140630 140800 141680 144256 144320 145222 145475 146944 147200 147928 148120 150880 150920 151823 154652 154693 156800 157780 157850 160720 161920 162932 164738 165025 165968 168100 169280 172480 173512 173558 175616 176792 177100 180320 180400 181447 183680 184828 184910 185150 186208 188272 188600 188650 193315 197120 197225 198352 200900 202048 202400 203665 206080 207368 207460 211232 211600 215168 215600 216890 219520 220990 225008 225400 226688 229600 230912 231035 232760 235340 236992 238579 241408 241472 246400 247940 252448 252560 257152 257600 258874 259210 259325 262400 264040 268960 270641 270848 274400 275968 281260 283360 285131 288512 288640 290444 290950 294175 294400 295856 296240 301760 301840 303646 309304 309386 309925 313600 315560 315700 321440 323449 323840 325864 329476 330050 331936 336200 338560 344960 347024 347116 351575 353584 354200 360640 360800 362894 363055 367360 369656 369820 370300 372416 376544 377200 377300 386630 394450 396704 401800 404096 404800 407330 411845 412160 414736 414920 422464 423200 425293 430336 431200 433780 433895 439040 441980 450016 450800 453376 459200 462070 462275 465520 470680 473984 477158 482816 482944 492800 495880 504896 505120 508277 514304 515200 517748 518420 518650 524800 528080 537920 541282 542225 548800 552475 562520 566720 570262 576583 577024 577280 580888 581900 588350 591712 592480 603520 603680 607292 618608 618772 619850 627200 631120 631400 642880 646898 647185 647680 648025 651728 658952 660100 663872 672400 677120 689920 694048 694232 703150 707168 708400 721280 721600 725788 726110 734720 739312 739640 740600 744832 753088 754400 754600 759115 773260 773465 788900 793408 803600 808192 809600 814660 823690 829472 829840 844928 846400 850586 860672 862400 867560 867790 878080 883960 889249 900032 901600 906059 906752 907235 918400 924140 924550 931040 941360 947968 954316 965888 966575 985600 991760 1009792 1010240 1016554 1018325 1028608 1030400 1035496 1036840 1037300 1056160 1062761 1075840 1082564 1084450 1097600 1104950 1125040 1133440 1140524 1153166 1154560 1155175 1161776 1163800 1176700 1183424 1184960 1192895 1207040 1207360 1214584 1237216 1237544 1239700 1262240 1262800 1285760 1293796 1294370 1296050 1303456 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1565078240 1593534208 1596733600 1623657728 1626486400 1636651940 1656793600 1667148560 1697460352 1700417600 1711804325 1732102400 1742928040 1821664768 1824838400 1845065600 1870459360 1904467712 1905312640 1917220844 1943334400 1956347800 1980070400 1991917760 2029572160 2045814925 2070073600 2083935700 2121825440 2137667840 2178660050 2191109536 2276477440 2277080960 2319511040 2322521600 2334007984 2338074200 2380584640 2381640800 2396526055 2424943360 2440099256 2489897200 2504125184 2536965200 2554773760 2618643104 2652281800 2667437696 2672084800 2720668160 2721875200 2738886920 2788684864 2845596800 2846351200 2899388800 2917509980 2975730800 2992734976 3031179200 3050124070 3053811200 3130156480 3187068416 3193467200 3247315456 3252972800 3273303880 3334297120 3355136477 3394920704 3400835200 3423608650 3464204800 3485856080 3646887475 3649676800 3690131200 3740918720 3808935424 3810625280 3834441688 3912695600 3983835520 4059144320 4091629850 4140147200 4167871400 4243650880 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15337766752 15650782400 15935342080 16236577280 16366519400 16671485600 16775682385 16974603520 17429280400 17528876288 18672063872 18704593600 19044677120 19053126400 19172208440 19520794048 19919177600 20295721600 20949144832 21218254400 21376678400 21911095360 22309478912 22770809600 23340079840 23805846400 23965260550 24249433600 24400992560 25041251840 25547737600 26186431040 26674376960 26841091816 27388869200 27886848640 29175099800 29927349760 30501240700 30675533504 31301564800 32733038800 33342971200 33551364770 33949207040 34858560800 35057752576 37344127744 37409187200 38106252800 38344416880 39041588096 39838355200 40591443200 41898289664 42436508800 43822190720 45541619200 46680159680 47611692800 47930521100 48801985120 52372862080 53348753920 53682183632 54777738400 55773697280 58350199600 61002481400 61351067008 62603129600 65466077600 66685942400 67102729540 69717121600 74688255488 74818374400 76688833760 78083176192 79676710400 81182886400 83878411925 84873017600 87644381440 93360319360 95223385600 95861042200 97603970240 104745724160 107364367264 109555476800 111547394560 116700399200 122004962800 122702134016 125206259200 130932155200 133371884800 134205459080 139434243200 149636748800 153377667520 156166352384 167756823850 169746035200 175288762880 186720638720 191722084400 195207940480 209491448320 214728734528 219110953600 233400798400 244009925600 245404268032 261864310400 266743769600 268410918160 278868486400 306755335040 335513647700 373441277440 383444168800 390415880960 429457469056 438221907200 466801596800 488019851200 523728620800 536821836320 557736972800 613510670080 671027295400 766888337600 780831761920 858914938112 876443814400 933603193600 976039702400 1047457241600 1073643672640 1227021340160 1342054590800 1533776675200 1717829876224 1867206387200 1952079404800 2147287345280 2684109181600 3067553350400 3904158809600 4294574690560 5368218363200 6135106700800 8589149381120 10736436726400 21472873452800 42945746905600
- Sum of all divisors σ(n): 145040394945600
- Sum of proper divisors (its aliquot sum) s(n): 102094648040000
- 42945746905600 is an abundant number, because the sum of its proper divisors (102094648040000) is greater than itself. Its abundance is 59148901134400
Bases of 42945746905600
- Binary: 10011100001111000101011111110100101010000000002
- Hexadecimal: 0x270F15FD2A00
- Base-36: F8104VQ4G
Squares and roots of 42945746905600
- 42945746905600 squared (429457469056002) is 1844337177279851975311360000
- 42945746905600 cubed (429457469056003) is 79206437624049241593953886316527616000000
-
The
square root of 42945746905600 is 6553300.4589748515 -
The
cube root of 42945746905600 is 35019.2402799179
Scales and comparisons
How big is 42945746905600?- 42,945,746,905,600 seconds is equal to 1,365,541 years, 47 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,945,746,905,600 would take you about three million, four hundred thirteen thousand, eight hundred fifty-four 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 42945746905600 cubic inches would be around 2918.3 feet tall.
Recreational maths with 42945746905600
- 42945746905600 backwards is 00650964754924
- The number of decimal digits it has is: 14
- The sum of 42945746905600's digits is 61
- More coming soon!
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"Number 42945746905600 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 42945746905600 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42945746905600/
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The information we have on file for 42945746905600 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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