42128871668800

Names of 42128871668800

• Cardinal: 42128871668800 can be written as Forty-two trillion, one hundred twenty-eight billion, eight hundred seventy-one million, six hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.21288716688 × 10¹³

Factors of 42128871668800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 887

Divisors of 42128871668800

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 43 49 50 56 64 70 76 80 86 95 98 100 112 133 140 152 160 172 175 190 196 200 215 224 245 266 280 301 304 320 344 350 380 392 400 430 448 475 490 532 560 602 608 665 688 700 760 784 800 811 817 860 931 950 980 1064 1075 1120 1204 1216 1225 1330 1376 1400 1505 1520 1568 1600 1622 1634 1720 1862 1900 1960 2107 2128 2150 2240 2408 2450 2660 2752 2800 3010 3040 3136 3244 3268 3325 3440 3724 3800 3920 4055 4085 4214 4256 4300 4655 4816 4900 5320 5600 5677 5719 6020 6080 6488 6536 6650 6880 7448 7525 7600 7840 8110 8170 8428 8512 8600 9310 9632 9800 10535 10640 11200 11354 11438 12040 12976 13072 13300 13760 14896 15050 15200 15409 15680 16220 16340 16856 17200 18620 19264 19600 20275 20425 21070 21280 22708 22876 23275 24080 25952 26144 26600 28385 28595 29792 30100 30400 30818 32440 32680 33712 34400 34873 37240 39200 39739 40033 40550 40850 42140 42560 45416 45752 46550 48160 51904 52288 52675 53200 56770 57190 59584 60200 61636 64880 65360 67424 68800 69746 74480 77045 78400 79478 80066 81100 81700 84280 90832 91504 93100 96320 105350 106400 107863 113540 114380 120400 123272 129760 130720 134848 139492 141925 142975 148960 154090 158956 160132 162200 163400 168560 174365 181664 183008 186200 198695 200165 210700 212800 215726 227080 228760 240800 244111 246544 259520 261440 278984 283850 285950 297920 308180 317912 320264 324400 326800 337120 348730 363328 366016 372400 385225 397390 400330 421400 431452 454160 457520 481600 488222 493088 539315 557968 567700 571900 616360 635824 640528 648800 653600 657721 662587 674240 697460 744800 755041 770450 794780 800660 842800 862904 871825 908320 915040 976444 986176 993475 1000825 1078630 1115936 1135400 1143800 1220555 1232720 1271648 1281056 1297600 1307200 1315442 1325174 1394920 1489600 1510082 1540900 1589560 1601320 1685600 1708777 1725808 1743650 1816640 1830080 1952888 1986950 2001650 2157260 2231872 2270800 2287600 2441110 2465440 2543296 2562112 2630884 2650348 2696575 2789840 3020164 3081800 3179120 3202640 3288605 3312935 3371200 3417554 3451616 3487300 3775205 3905776 3973900 4003300 4314520 4541600 4575200 4604047 4638109 4882220 4930880 5261768 5300696 5393150 5579680 6040328 6102775 6163600 6358240 6405280 6577210 6625870 6835108 6903232 6974600 7550410 7811552 7947800 8006600 8543885 8629040 9083200 9150400 9208094 9276218 9764440 10523536 10601392 10786300 11159360 12080656 12205550 12327200 12496699 12716480 12810560 13154420 13251740 13670216 13949200 15100820 15623104 15895600 16013200 16443025 16564675 17087770 17258080 18416188 18552436 18876025 19528880 21047072 21202784 21572600 23020235 23190545 24161312 24411100 24654400 24993398 26308840 26503480 27340432 27898400 28282003 30201640 31791200 32026400 32228329 32466763 32886050 33129350 34175540 34516160 36832376 37104872 37752050 39057760 42094144 42405568 42719425 43145200 46040470 46381090 48322624 48822200 49986796 52617680 53006960 54680864 55796800 56564006 60403280 62483495 63582400 64052800 64456658 64933526 65772100 66258700 68351080 73664752 74209744 75504100 78115520 85438850 86290400 87476893 92080940 92762180 97644400 99973592 105235360 106013920 109361728 113128012 115101175 115952725 120806560 124966990 128913316 129867052 131544200 132517400 136702160 141410015 147329504 148419488 151008200 161141645 162333815 170877700 172580800 174953786 184161880 185524360 195288800 197974021 199947184 210470720 212027840 226256024 230202350 231905450 241613120 249933980 257826632 259734104 263088400 265034800 273404320 282820030 294659008 296838976 302016400 312417475 322283290 324667630 341755400 349907572 368323760 371048720 390577600 395948042 399894368 437384465 452512048 460404700 463810900 499867960 515653264 519468208 526176800 530069600 537358057 546808640 565640060 604032800 612338251 624834950 644566580 649335260 683510800 699815144 707050075 736647520 742097440 791896084 799788736 805708225 811669075 874768930 905024096 920809400 927621800 989870105 999735920 1031306528 1038936416 1052353600 1060139200 1074716114 1131280120 1208065600 1224676502 1249669900 1289133160 1298670520 1367021600 1385818147 1399630288 1414100150 1473295040 1484194880 1583792168 1611416450 1623338150 1749537860 1810048192 1841618800 1855243600 1979740210 1999471840 2062613056 2077872832 2149432228 2186922325 2262560240 2449353004 2499339800 2578266320 2597341040 2686790285 2734043200 2771636294 2799260576 2828200300 3061691255 3167584336 3222832900 3246676300 3499075720 3683237600 3710487200 3761506399 3959480420 3998943680 4298864456 4373844650 4525120480 4898706008 4949350525 4998679600 5156532640 5194682080 5373580570 5543272588 5598521152 5656400600 6123382510 6335168672 6445665800 6493352600 6929090735 6998151440 7366475200 7420974400 7523012798 7918960840 8597728912 8747689300 9050240960 9797412016 9898701050 9997359200 10313065280 10389364160 10747161140 11086545176 11312801200 12246765020 12670337344 12891331600 12986705200 13433951425 13858181470 13996302880 15046025596 15308456275 15837921680 17195457824 17495378600 18807531995 19594824032 19797402100 19994718400 21494322280 22173090352 22625602400 24493530040 25782663200 25973410400 26330544793 26867902850 27716362940 27992605760 30092051192 30616912550 31675843360 34390915648 34645453675 34990757200 37615063990 39189648064 39594804200 42988644560 44346180704 45251204800 48987060080 51565326400 51946820800 52661089586 53735805700 55432725880 60184102384 61233825100 63351686720 69290907350 69981514400 75230127980 79189608400 85977289120 88692361408 94037659975 97974120160 105322179172 107471611400 110865451760 120368204768 122467650200 131652723965 138581814700 139963028800 150460255960 158379216800 171954578240 188075319950 195948240320 210644358344 214943222800 221730903520 240736409536 244935300400 263305447930 277163629400 300920511920 316758433600 376150639900 421288716688 429886445600 443461807040 489870600800 526610895860 554327258800 601841023840 658263619825 752301279800 842577433376 859772891200 979741201600 1053221791720 1108654517600 1203682047680 1316527239650 1504602559600 1685154866752 2106443583440 2217309035200 2633054479300 3009205119200 4212887166880 5266108958600 6018410238400 8425774333760 10532217917200 21064435834400 42128871668800
• Sum of all divisors σ(n): 130047044157360
• Sum of proper divisors (its aliquot sum) s(n): 87918172488560
• 42128871668800 is an abundant number, because the sum of its proper divisors (87918172488560) is greater than itself. Its abundance is 45789300819760

Bases of 42128871668800

• Binary: 1001100101000011100100011011100011110001000000₂
• Hexadecimal: 0x2650E46E3C40
• Base-36: EXLQIGFGG

Squares and roots of 42128871668800

• 42128871668800 squared (42128871668800²) is 1774841828086219296893440000
• 42128871668800 cubed (42128871668800³) is 74772083607862724260597900268572672000000
• The square root of 42128871668800 is 6490675.7482407023
• The cube root of 42128871668800 is 34795.7826364117

Scales and comparisons

• 42,128,871,668,800 seconds is equal to 1,339,567 years, 41 weeks, 6 days, 8 hours, 26 minutes, 40 seconds.
• To count from 1 to 42,128,871,668,800 would take you about three million, three hundred forty-eight thousand, nine hundred nineteen 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 42128871668800 cubic inches would be around 2899.6 feet tall.

Recreational maths with 42128871668800

• 42128871668800 backwards is 00886617882124
• The number of decimal digits it has is: 14
• The sum of 42128871668800's digits is 61
• More coming soon!