42142420320

Names of 42142420320

• Cardinal: 42142420320 can be written as Forty-two billion, one hundred forty-two million, four hundred twenty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.214242032 × 10¹⁰

Factors of 42142420320

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 811

Divisors of 42142420320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 130 132 139 140 143 154 156 160 165 168 176 182 195 208 210 220 224 231 240 260 264 273 278 280 286 308 312 330 336 352 364 385 390 416 417 420 429 440 455 462 480 520 528 546 556 560 572 616 624 631 660 672 695 715 728 770 780 834 840 858 880 910 924 973 1001 1040 1056 1092 1112 1120 1144 1155 1232 1248 1262 1320 1365 1390 1430 1456 1529 1540 1560 1668 1680 1716 1760 1807 1820 1848 1893 1946 2002 2080 2085 2145 2184 2224 2288 2310 2464 2524 2640 2730 2780 2860 2912 2919 3003 3058 3080 3120 3155 3336 3360 3432 3614 3640 3696 3786 3892 4004 4170 4290 4368 4417 4448 4576 4587 4620 4865 5005 5048 5280 5421 5460 5560 5720 5838 6006 6116 6160 6240 6310 6672 6864 6941 7228 7280 7392 7572 7645 7784 8008 8203 8340 8580 8736 8834 9035 9174 9240 9465 9730 10010 10096 10703 10842 10920 11120 11440 11676 12012 12232 12320 12620 12649 13251 13344 13728 13882 14456 14560 14595 15015 15144 15290 15568 16016 16406 16680 17160 17668 18070 18348 18480 18930 19460 19877 20020 20192 20823 21406 21684 21840 22085 22240 22880 22935 23352 24024 24464 24609 25240 25298 26502 27105 27764 28912 29190 30030 30288 30580 31136 32032 32109 32812 33360 34320 34705 35336 36140 36696 36960 37860 37947 38920 39754 40040 41015 41646 42812 43368 43680 44170 45870 46704 48048 48587 48928 49218 50480 50596 53004 53515 54210 55528 57421 57824 58380 59631 60060 60576 61160 63245 64218 65624 66255 66720 68640 69410 70672 72280 73392 75720 75894 77840 79508 80080 82030 83292 85624 86736 87709 88340 90233 91740 93408 96096 97174 98436 99385 100960 101192 104115 106008 107030 108420 111056 114842 116760 119262 120120 122320 123045 126490 128436 131248 132510 138820 139139 141344 144560 145761 146784 151440 151788 155680 159016 160160 160545 164060 166584 171248 172263 173472 175418 176680 180466 183480 189735 194348 196872 198770 202384 208230 212016 214060 216840 222112 229684 233520 238524 240240 242935 244640 246090 252980 256872 262496 263127 265020 270699 277640 278278 287105 289120 291522 298155 302880 303576 318032 321090 328120 333168 342496 344526 350836 353360 360932 366960 379470 388696 393744 397540 404768 416460 417417 424032 428120 433680 438545 451165 459368 467040 477048 480480 485870 492180 505960 513744 526254 530040 541398 555280 556556 574210 583044 596310 607152 613963 631631 636064 642180 656240 666336 689052 695695 701672 706720 721864 728805 733920 758940 777392 787488 795080 832920 834834 856240 861315 867360 877090 902330 918736 954096 964799 971740 984360 1011920 1027488 1052508 1060080 1082796 1110560 1113112 1140217 1148420 1166088 1192620 1214304 1227926 1263262 1284360 1312480 1315635 1353495 1378104 1391390 1403344 1443728 1457610 1517880 1554784 1590160 1665840 1669668 1712480 1722630 1754180 1804660 1837472 1841889 1894893 1908192 1929598 1943480 1968720 2023840 2087085 2105016 2120160 2165592 2226224 2280434 2296840 2332176 2385240 2455852 2526524 2568720 2631270 2706990 2756208 2782780 2806688 2887456 2894397 2915220 3035760 3069815 3158155 3180320 3331680 3339336 3420651 3445260 3508360 3609320 3683778 3789786 3859196 3886960 3937440 4174170 4210032 4331184 4452448 4560868 4593680 4664352 4770480 4823995 4911704 5053048 5137440 5262540 5413980 5512416 5565560 5701085 5788794 5830440 6071520 6139630 6316310 6678672 6753593 6841302 6890520 7016720 7218640 7367556 7579572 7718392 7773920 7981519 8348340 8420064 8662368 9121736 9187360 9209445 9474465 9540960 9647990 9823408 10106096 10525080 10827960 11131120 11402170 11577588 11660880 12279260 12542387 12632620 13357344 13507186 13682604 13781040 14033440 14437280 14471985 14735112 15159144 15436784 15963038 16696680 17103255 18243472 18418890 18948930 19295980 19646816 20212192 20260779 21050160 21655920 22262240 22804340 23155176 23321760 23944557 24558520 25084774 25265240 27014372 27365208 27562080 28943970 29470224 30318288 30873568 31926076 33393360 33767965 34206510 36486944 36837780 37627161 37897860 38591960 39907595 40521558 42100320 43311840 45608680 46310352 47889114 49117040 50169548 50530480 54028744 54730416 57887940 58940448 60636576 62711935 63852152 66786720 67535930 68413020 73675560 75254322 75795720 77183920 79815190 81043116 87796709 91217360 92620704 95778228 98234080 100339096 101060960 101303895 108057488 109460832 115775880 119722785 125423870 127704304 135071860 136826040 147351120 150508644 151591440 154367840 159630380 162086232 175593418 182434720 188135805 191556456 200678192 202607790 216114976 231551760 239445570 250847740 255408608 263390127 270143720 273652080 294702240 301017288 303182880 319260760 324172464 351186836 376271610 383112912 401356384 405215580 438983545 463103520 478891140 501695480 526780254 540287440 547304160 602034576 638521520 648344928 702373672 752543220 766225824 810431160 877967090 957782280 1003390960 1053560508 1080574880 1204069152 1277043040 1316950635 1404747344 1505086440 1620862320 1755934180 1915564560 2006781920 2107121016 2633901270 2809494688 3010172880 3241724640 3511868360 3831129120 4214242032 5267802540 6020345760 7023736720 8428484064 10535605080 14047473440 21071210160 42142420320
• Sum of all divisors σ(n): 179802685440
• Sum of proper divisors (its aliquot sum) s(n): 137660265120
• 42142420320 is an abundant number, because the sum of its proper divisors (137660265120) is greater than itself. Its abundance is 95517844800

Bases of 42142420320

• Binary: 100111001111111000100100110101100000₂
• Hexadecimal: 0x9CFE24D60
• Base-36: JCYIBMO

Squares and roots of 42142420320

• 42142420320 squared (42142420320²) is 1775983590427548902400
• 42142420320 cubed (42142420320³) is 74844246949220494352295456768000
• The square root of 42142420320 is 205286.1912550379
• The cube root of 42142420320 is 3479.9512346185

Scales and comparisons

• 42,142,420,320 seconds is equal to 1,339 years, 51 weeks, 6 days, 11 hours, 52 minutes.
• To count from 1 to 42,142,420,320 would take you about two thousand, six hundred seventy-nine 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 42142420320 cubic inches would be around 290 feet tall.

Recreational maths with 42142420320

• 42142420320 backwards is 02302424124
• 42142420320 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 42142420320's digits is 24
• More coming soon!