442629930142400

Names of 442629930142400

• Cardinal: 442629930142400 can be written as Four hundred forty-two trillion, six hundred twenty-nine billion, nine hundred thirty million, one hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 4.426299301424 × 10¹⁴

Factors of 442629930142400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3105378

Divisors of 442629930142400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 64 65 70 77 80 88 89 91 100 104 110 112 130 140 143 154 160 175 176 178 182 200 208 220 224 260 275 280 286 308 320 325 350 352 356 364 385 400 416 440 445 448 455 520 550 560 572 616 623 650 700 704 712 715 728 770 800 832 880 890 910 979 1001 1040 1100 1120 1144 1157 1232 1246 1300 1400 1424 1430 1456 1540 1600 1760 1780 1820 1925 1958 2002 2080 2200 2225 2240 2275 2288 2314 2464 2492 2600 2800 2848 2860 2912 3080 3115 3520 3560 3575 3640 3850 3916 4004 4160 4400 4450 4550 4576 4628 4895 4928 4984 5005 5200 5600 5696 5720 5785 5824 6160 6230 6853 7120 7150 7280 7700 7832 8008 8099 8800 8900 9100 9152 9256 9790 9968 10010 10400 11200 11440 11570 12320 12460 12727 13706 14240 14300 14560 15400 15575 15664 16016 16198 17600 17800 18200 18512 19580 19936 20020 20800 22880 23140 24475 24640 24920 25025 25454 27412 28480 28600 28925 29120 30800 31150 31328 32032 32396 34265 35600 36400 37024 39160 39872 40040 40495 45760 46280 48950 49840 50050 50908 54824 57200 57850 61600 62300 62656 63635 64064 64792 68530 71200 72800 74048 78320 80080 80990 89089 92560 97900 99680 100100 101816 109648 114400 115700 123200 124600 127270 129584 137060 142400 145600 156640 160160 161980 171325 178178 185120 195800 199360 200200 202475 203632 219296 228800 231400 249200 254540 259168 274120 313280 318175 320320 323960 342650 356356 370240 391600 400400 404950 407264 438592 445445 462800 498400 509080 518336 548240 636350 647920 685300 712712 783200 800800 809900 814528 890890 925600 996800 1018160 1096480 1272700 1295840 1370600 1425424 1566400 1601600 1619800 1781780 1851200 2036320 2192960 2227225 2545400 2591680 2741200 2850848 3105251 3239600 3563560 4072640 4454450 5090800 5482400 5701696 6210502 6479200 7127120 8908900 10181600 10964800 12421004 12958400 14254240 15526255 17817800 20363200 21736757 24842008 28508480 31052510 34157761 35635600 40368263 43473514 49684016 62105020 68315522 71271200 77631275 80736526 86947028 99368032 108683785 124210040 136631044 142542400 155262550 161473052 170788805 173894056 198736064 201841315 217367570 239104327 248420080 273262088 276367339 282577841 310525100 322946104 341577610 347788112 403682630 434735140 444050893 478208654 496840160 543418925 546524176 552734678 565155682 621050200 645892208 683155220 695576224 807365260 853944025 869470280 888101786 956417308 993680320 1009206575 1086837850 1093048352 1105469356 1130311364 1195521635 1242100400 1291784416 1366310440 1381836695 1391152448 1412889205 1614730520 1707888050 1738940560 1776203572 1912834616 1934571373 2018413150 2173675700 2186096704 2210938712 2220254465 2260622728 2391043270 2484200800 2583568832 2732620880 2763673390 2825778410 3040040729 3108356251 3229461040 3415776100 3477881120 3552407144 3592775407 3825669232 3869142746 4036826300 4347351400 4421877424 4440508930 4521245456 4782086540 4968401600 5465241760 5527346780 5651556820 5977608175 6080081458 6216712502 6458922080 6831552200 6909183475 6955762240 7064446025 7104814288 7185550814 7651338464 7738285492 8073652600 8694702800 8843754848 8881017860 9042490912 9564173080 9672856865 10930483520 11054693560 11101272325 11303113640 11955216350 12160162916 12433425004 12917844160 13663104400 13818366950 14128892050 14209628576 14371101628 15200203645 15302676928 15476570984 15541781255 16147305200 17389405600 17687509696 17762035720 17963877035 18084981824 19128346160 19345713730 21280285103 22109387120 22202544650 22606227280 23910432700 24320325832 24866850008 25149427849 27326208800 27636733900 28257784100 28419257152 28742203256 30400407290 30953141968 31083562510 32294610400 34778811200 35524071440 35927754070 38256692320 38691427460 39520529477 42560570206 44218774240 44405089300 45212454560 47820865400 48364284325 48640651664 49733700016 50298855698 54652417600 55273467800 56515568200 57484406512 60800814580 61906283936 62167125020 64589220800 71048142880 71855508140 76001018225 76513384640 77382854920 77708906275 79041058954 85121140412 88437548480 88810178600 89819385175 90424909120 95641730800 96728568650 97281303328 99467400032 100597711396 106401425515 110546935600 113031136400 114968813024 121601629160 123812567872 124334250040 125747139245 142096285760 143711016280 152002036450 154765709840 155417812550 158082117908 170242280824 177620357200 179638770350 191283461600 193457137300 194562606656 197602647385 198934800064 201195422792 212802851030 221093871200 226062272800 229937626048 243203258320 248668500080 251494278490 276643706339 287422032560 304004072900 309531419680 310835625100 316164235816 340484561648 355240714400 359277540700 382566923200 386914274600 395205294770 402390845584 425605702060 442187742400 452124545600 486406516640 497337000160 502988556980 532007127575 553287412678 574844065120 608008145800 619062839360 621671250200 628735696225 632328471632 680969123296 710481428800 718555081400 773828549200 790410589540 804781691168 851211404120 972813033280 988013236925 994674000320 1005977113960 1064014255150 1106574825356 1149688130240 1216016291600 1243342500400 1257471392450 1264656943264 1361938246592 1383218531695 1437110162800 1547657098400 1580821179080 1609563382336 1702422808240 1976026473850 2011954227920 2128028510300 2213149650712 2432032583200 2486685000800 2514942784900 2529313886528 2766437063390 2874220325600 3095314196800 3161642358160 3404845616480 3952052947700 4023908455840 4256057020600 4426299301424 4864065166400 4973370001600 5029885569800 5532874126780 5748440651200 6323284716320 6809691232960 6916092658475 7904105895400 8047816911680 8512114041200 8852598602848 10059771139600 11065748253560 12646569432640 13832185316950 15808211790800 17024228082400 17705197205696 20119542279200 22131496507120 27664370633900 31616423581600 34048456164800 40239084558400 44262993014240 55328741267800 63232847163200 88525986028480 110657482535600 221314965071200 442629930142400
• Sum of all divisors σ(n): 1478781616919040
• Sum of proper divisors (its aliquot sum) s(n): 1036151686776640
• 442629930142400 is an abundant number, because the sum of its proper divisors (1036151686776640) is greater than itself. Its abundance is 593521756634240

Bases of 442629930142400

• Binary: 1100100101001000111001111110000001100101011000000₂
• Hexadecimal: 0x19291CFC0CAC0
• Base-36: 4CWDDS1GOW

Squares and roots of 442629930142400

• 442629930142400 squared (442629930142400²) is 195921255057865904084277760000
• 442629930142400 cubed (442629930142400³) is 86720611439674517794450683750957953024000000
• The square root of 442629930142400 is 21038772.0683123519
• The cube root of 442629930142400 is 76210.2861623909

Scales and comparisons

• 442,629,930,142,400 seconds is equal to 14,074,262 years, 32 weeks, 6 days, 20 hours, 53 minutes, 20 seconds.
• To count from 1 to 442,629,930,142,400 would take you about thirty-five million, one hundred eighty-five thousand, six hundred fifty-six 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 442629930142400 cubic inches would be around 6350.9 feet tall.

Recreational maths with 442629930142400

• 442629930142400 backwards is 004241039926244
• 442629930142400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 442629930142400's digits is 50
• More coming soon!