3146828246934400

Names of 3146828246934400

• Cardinal: 3146828246934400 can be written as Three quadrillion, one hundred forty-six trillion, eight hundred twenty-eight billion, two hundred forty-six million, nine hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 3.1468282469344 × 10¹⁵

Factors of 3146828246934400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 77197

Divisors of 3146828246934400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 80 100 112 122 128 140 160 173 175 200 224 244 280 305 320 346 350 400 427 448 488 560 610 640 692 700 800 854 865 896 976 1120 1211 1220 1384 1400 1525 1600 1708 1730 1952 2135 2240 2422 2440 2768 2800 3050 3200 3416 3460 3904 4270 4325 4480 4844 4880 5536 5600 6055 6100 6832 6920 7808 8540 8650 9688 9760 10553 10675 11072 11200 12110 12200 13664 13840 17080 17300 19376 19520 21106 21350 22144 22400 24220 24400 27328 27680 29929 30275 34160 34600 38752 39040 42212 42700 48440 48800 52765 54656 55360 59858 60550 68320 69200 73871 76949 77504 84424 85400 96880 97600 105530 110720 119716 121100 136640 138400 147742 149645 153898 155008 168848 170800 193760 195200 209503 211060 239432 242200 263825 273280 276800 295484 299290 307796 337696 341600 369355 384745 387520 419006 422120 478864 484400 527650 538643 553600 590968 598580 615592 675392 683200 738710 748225 769490 775040 838012 844240 957728 968800 1047515 1055300 1077286 1181936 1197160 1231184 1350784 1366400 1477420 1496450 1538980 1676024 1688480 1825669 1846775 1915456 1923725 1937600 2095030 2110600 2154572 2363872 2394320 2462368 2693215 2954840 2992900 3077960 3352048 3376960 3651338 3693550 3830912 3847450 3875200 4190060 4221200 4309144 4693889 4727744 4788640 4924736 5237575 5386430 5909680 5985800 6155920 6704096 6753920 7302676 7387100 7694900 8380120 8442400 8618288 9128345 9387778 9455488 9577280 9849472 10475150 10772860 11819360 11971600 12311840 12779683 13312177 13408192 13466075 14605352 14774200 15389800 16760240 16884800 17236576 18256690 18775556 19154560 20950300 21545720 23469445 23638720 23943200 24623680 25559366 26624354 26816384 26932150 29210704 29548400 30779600 32857223 33520480 33769600 34473152 36513380 37551112 41900600 43091440 45641725 46938890 47277440 47886400 49247360 51118732 53248708 53864300 58421408 59096800 61559200 63898415 65714446 66560885 67040960 68946304 73026760 75102224 83801200 86182880 91283450 93185239 93877780 95772800 102237464 106497416 107728600 116842816 117347225 118193600 123118400 127796830 131428892 133121770 134081920 146053520 150204448 164286115 167602400 172365760 182566900 186370478 187755560 204474928 212994832 215457200 233685632 234694450 236387200 246236800 255593660 262857784 266243540 292107040 300408896 319492075 328572230 332804425 335204800 344731520 365133800 372740956 375511120 408949856 425989664 430914400 465926195 469388900 511187320 525715568 532487080 584214080 600817792 638984150 657144460 665608850 670409600 730267600 745481912 751022240 812042797 817899712 821430575 851979328 861828800 931852390 938777800 1022374640 1051431136 1064974160 1168428160 1277968300 1314288920 1331217700 1460535200 1490963824 1502044480 1624085594 1635799424 1642861150 1703958656 1723657600 1863704780 1877555600 2044749280 2102862272 2129948320 2303006621 2329630975 2555936600 2628577840 2662435400 2921070400 2981927648 3004088960 3248171188 3285722300 3727409560 3755111200 4060213985 4089498560 4205724544 4259896640 4606013242 4659261950 5111873200 5257155680 5324870800 5684299579 5842140800 5963855296 6496342376 6571444600 7454819120 7510222400 8120427970 8178997120 8519793280 9212026484 9318523900 10223746400 10514311360 10649741600 11368599158 11515033105 11927710592 12992684752 13142889200 14909638240 15020444800 16121046347 16240855940 18424052968 18637047800 20301069925 20447492800 21028622720 21299483200 22737198316 23030066210 25985369504 26285778400 28421497895 29819276480 32242092694 32481711880 36848105936 37274095600 40602139850 40894985600 42598966400 45474396632 46060132420 51970739008 52571556800 56842995790 57575165525 59638552960 64484185388 64963423760 73696211872 74548191200 80605231735 81204279700 90948793264 92120264840 103941478016 105143113600 113685991580 115150331050 128968370776 129926847520 140483403881 142107489475 147392423744 149096382400 161210463470 162408559400 181897586528 184240529680 227371983160 230300662100 257936741552 259853695040 280966807762 284214978950 294784847488 298192764800 322420926940 324817118800 363795173056 368481059360 403026158675 454743966320 460601324200 515873483104 519707390080 561933615524 568429957900 644841853880 649634237600 702417019405 727590346112 736962118720 806052317350 909487932640 921202648400 983383827167 1031746966208 1123867231048 1136859915800 1289683707760 1299268475200 1404834038810 1473924237440 1612104634700 1818975865280 1842405296800 1966767654334 2063493932416 2247734462096 2273719831600 2579367415520 2598536950400 2809668077620 3224209269400 3512085097025 3637951730560 3684810593600 3933535308668 4495468924192 4547439663200 4916919135835 5158734831040 5619336155240 6448418538800 7024170194050 7369621187200 7867070617336 8990937848384 9094879326400 9833838271670 10317469662080 11238672310480 12896837077600 14048340388100 15734141234672 17981875696768 18189758652800 19667676543340 22477344620960 24584595679175 25793674155200 28096680776200 31468282469344 39335353086680 44954689241920 49169191358350 51587348310400 56193361552400 62936564938688 78670706173360 89909378483840 98338382716700 112386723104800 125873129877376 157341412346720 196676765433400 224773446209600 314682824693440 393353530866800 449546892419200 629365649386880 786707061733600 1573414123467200 3146828246934400
• Sum of all divisors σ(n): 9082427786748000
• Sum of proper divisors (its aliquot sum) s(n): 5935599539813600
• 3146828246934400 is an abundant number, because the sum of its proper divisors (5935599539813600) is greater than itself. Its abundance is 2788771292879200

Bases of 3146828246934400

• Binary: 1011001011100000011000001011110100111110001110000000₂
• Hexadecimal: 0xB2E060BD3E380
• Base-36: UZGGXTIZ5S

Squares and roots of 3146828246934400

• 3146828246934400 squared (3146828246934400²) is 9902528015704229142997903360000
• 3146828246934400 cubed (3146828246934400³) is 31161554875877322026716207123243547459584000000
• The square root of 3146828246934400 is 56096597.4630761363
• The cube root of 3146828246934400 is 146540.5036882089

Scales and comparisons

• 3,146,828,246,934,400 seconds is equal to 100,059,404 years, 24 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 3,146,828,246,934,400 would take you about three hundred million, one hundred seventy-eight thousand, two hundred thirteen 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 3146828246934400 cubic inches would be around 12211.7 feet tall.

Recreational maths with 3146828246934400

• 3146828246934400 backwards is 0044396428286413
• 3146828246934400 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3146828246934400's digits is 64
• More coming soon!