40222242086400

Names of 40222242086400

• Cardinal: 40222242086400 can be written as Forty trillion, two hundred twenty-two billion, two hundred forty-two million, eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.02222420864 × 10¹³

Factors of 40222242086400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 103719

Divisors of 40222242086400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 144 150 160 165 176 180 192 198 200 220 225 240 256 264 275 288 300 307 320 330 352 360 384 396 400 440 450 480 495 512 528 550 576 600 614 640 660 704 720 768 792 800 825 880 900 921 960 990 1056 1100 1152 1200 1228 1280 1320 1408 1440 1535 1536 1584 1600 1650 1760 1800 1842 1920 1980 2112 2200 2304 2400 2456 2475 2560 2640 2763 2816 2880 3070 3168 3200 3300 3377 3520 3600 3684 3840 3960 4224 4400 4605 4608 4800 4912 4950 5280 5526 5632 5760 6140 6336 6400 6600 6754 7040 7200 7368 7675 7680 7920 8448 8800 9210 9600 9824 9900 10131 10560 11052 11520 12280 12672 12800 13200 13508 13815 14080 14400 14736 15350 15840 16885 16896 17600 18420 19200 19648 19800 20262 21120 22104 23025 23040 24560 25344 26400 27016 27630 28160 28800 29472 30393 30700 31680 33770 35200 36840 38400 39296 39600 40524 42240 44208 46050 49120 50655 50688 52800 54032 55260 57600 58944 60786 61400 63360 67540 69075 70400 73680 78592 79200 81048 84425 84480 88416 92100 98240 101310 103391 105600 108064 110520 115200 117888 121572 122800 126720 135080 138150 140800 147360 151965 157184 158400 162096 168850 176832 184200 196480 202620 206782 211200 216128 221040 235776 243144 245600 253275 253440 270160 276300 294720 303930 310173 316800 324192 337700 353664 368400 392960 405240 413564 422400 432256 442080 471552 486288 491200 506550 516955 540320 552600 589440 607860 620346 633600 648384 675400 707328 736800 759825 785920 810480 827128 864512 884160 930519 972576 982400 1013100 1033910 1080640 1105200 1137301 1178880 1215720 1240692 1267200 1296768 1350800 1414656 1473600 1519650 1550865 1620960 1654256 1729024 1768320 1861038 1945152 1964800 2026200 2067820 2161280 2210400 2274602 2357760 2431440 2481384 2584775 2593536 2701600 2947200 3039300 3101730 3241920 3308512 3411903 3536640 3722076 3890304 3929600 4052400 4135640 4322560 4420800 4549204 4652595 4862880 4962768 5169550 5187072 5403200 5686505 5894400 6078600 6203460 6483840 6617024 6823806 7073280 7444152 7754325 7780608 8104800 8271280 8645120 8841600 9098408 9305190 9725760 9925536 10235709 10339100 10806400 11373010 11788800 12157200 12406920 12967680 13234048 13647612 14888304 15508650 15561216 16209600 16542560 17059515 17683200 18196816 18610380 19451520 19851072 20471418 20678200 21612800 22746020 23262975 24314400 24813840 25935360 26468096 27295224 28432525 29776608 31017300 31741037 32419200 33085120 34119030 35366400 36393632 37220760 38903040 39702144 40942836 41356400 43225600 45492040 46525950 48628800 49627680 51178545 52936192 54590448 56865050 59553216 62034600 63482074 64838400 66170240 68238060 72787264 74441520 77806080 79404288 81885672 82712800 85297575 90984080 93051900 95223111 97257600 99255360 102357090 109180896 113730100 119106432 124069200 126964148 129676800 132340480 136476120 145574528 148883040 158705185 158808576 163771344 165425600 170595150 181968160 186103800 190446222 194515200 198510720 204714180 218361792 227460200 238212864 248138400 253928296 255892725 264680960 272952240 285669333 291149056 297766080 317410370 327542688 330851200 341190300 349151407 363936320 372207600 380892444 389030400 397021440 409428360 436723584 454920400 476115555 476425728 496276800 507856592 511785450 545904480 571338666 582298112 595532160 634820740 655085376 661702400 682380600 698302814 727872640 744415200 761784888 793525925 794042880 818856720 873447168 909840800 952231110 992553600 1015713184 1023570900 1047454221 1091808960 1142677332 1191064320 1269641480 1310170752 1323404800 1364761200 1396605628 1428346665 1455745280 1488830400 1523569776 1587051850 1637713440 1745757035 1746894336 1819681600 1904462220 1985107200 2031426368 2047141800 2094908442 2183617920 2285354664 2380577775 2382128640 2539282960 2620341504 2729522400 2793211256 2856693330 2911490560 2977660800 3047139552 3142362663 3174103700 3275426880 3491514070 3639363200 3808924440 3970214400 4062852736 4094283600 4189816884 4367235840 4570709328 4761155550 5078565920 5237271105 5240683008 5459044800 5586422512 5713386660 5955321600 6094279104 6284725326 6348207400 6550853760 6983028140 7141733325 7278726400 7617848880 8125705472 8188567200 8379633768 8728785175 8734471680 9141418656 9522311100 10157131840 10474542210 10918089600 11172845024 11426773320 11910643200 12188558208 12569450652 12696414800 13101707520 13966056280 14283466650 14557452800 15235697760 15711813315 16251410944 16377134400 16759267536 17457570350 18282837312 19044622200 20314263680 20949084420 21836179200 22345690048 22853546640 24377116416 25138901304 25392829600 26186355525 26203415040 27932112560 28566933300 30471395520 31423626630 32754268800 33518535072 34915140700 36565674624 38089244400 40628527360 41898168840 43672358400 44691380096 45707093280 48754232832 50277802608 50785659200 52372711050 55864225120 57133866600 60942791040 62847253260 65508537600 67037070144 69830281400 73131349248 76178488800 78559066575 81257054720 83796337680 89382760192 91414186560 100555605216 101571318400 104745422100 111728450240 114267733200 121885582080 125694506520 131017075200 134074140288 139660562800 146262698496 152356977600 157118133150 167592675360 178765520384 182828373120 201111210432 203142636800 209490844200 223456900480 228535466400 243771164160 251389013040 268148280576 279321125600 304713955200 314236266300 335185350720 365656746240 402222420864 406285273600 418981688400 446913800960 457070932800 502778026080 536296561152 558642251200 609427910400 628472532600 670370701440 731313492480 804444841728 837963376800 893827601920 914141865600 1005556052160 1117284502400 1218855820800 1256945065200 1340741402880 1608889683456 1675926753600 1828283731200 2011112104320 2234569004800 2513890130400 2681482805760 3351853507200 3656567462400 4022224208640 4469138009600 5027780260800 6703707014400 8044448417280 10055560521600 13407414028800 20111121043200 40222242086400
• Sum of all divisors σ(n): 157543169591808
• Sum of proper divisors (its aliquot sum) s(n): 117320927505408
• 40222242086400 is an abundant number, because the sum of its proper divisors (117320927505408) is greater than itself. Its abundance is 77098685419008

Bases of 40222242086400

• Binary: 1001001001010011111000011100111001111000000000₂
• Hexadecimal: 0x2494F8739E00
• Base-36: E99UCFI80

Squares and roots of 40222242086400

• 40222242086400 squared (40222242086400²) is 1617828758456967425064960000
• 40222242086400 cubed (40222242086400³) is 65072699976996095087761672365932544000000
• The square root of 40222242086400 is 6342100.7628702969
• The cube root of 40222242086400 is 34262.7400946891

Scales and comparisons

• 40,222,242,086,400 seconds is equal to 1,278,942 years, 45 weeks, 6 days, 8 hours.
• To count from 1 to 40,222,242,086,400 would take you about three million, one hundred ninety-seven thousand, three hundred fifty-seven 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 40222242086400 cubic inches would be around 2855.2 feet tall.

Recreational maths with 40222242086400

• 40222242086400 backwards is 00468024222204
• 40222242086400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40222242086400's digits is 36
• More coming soon!