214540908304800

Names of 214540908304800

• Cardinal: 214540908304800 can be written as Two hundred fourteen trillion, five hundred forty billion, nine hundred eight million, three hundred four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.145409083048 × 10¹⁴

Factors of 214540908304800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1079

Divisors of 214540908304800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 96 100 105 110 112 120 132 140 150 154 160 165 168 175 176 200 210 220 224 231 240 264 275 280 300 308 330 336 350 352 385 400 420 440 462 480 525 528 550 560 600 616 660 672 700 770 800 825 840 880 924 1050 1051 1056 1100 1120 1155 1200 1232 1320 1400 1540 1650 1680 1760 1848 1925 2100 2102 2200 2310 2400 2464 2640 2800 3080 3153 3300 3360 3696 3850 4200 4204 4400 4620 5255 5280 5600 5775 6160 6306 6600 7357 7392 7700 8400 8408 8800 9240 10510 11550 11561 12320 12612 13200 14714 15400 15765 16800 16816 18480 21020 22071 23100 23122 25224 26275 26400 29428 30800 31530 33632 34683 36785 36960 42040 44142 46200 46244 50448 52550 57805 58856 61600 63060 69366 73570 78825 80927 84080 88284 92400 92488 100896 105100 110355 115610 117712 126120 138732 147140 157650 161854 168160 173415 176568 183925 184800 184976 210200 220710 231220 235424 242781 252240 277464 289025 294280 315300 323708 346830 353136 367850 369952 404635 420400 441420 462440 485562 504480 551775 554928 578050 588560 630600 647416 693660 706272 735700 809270 840800 867075 882840 924880 971124 1103550 1104601 1109856 1156100 1177120 1213905 1261200 1294832 1387320 1471400 1618540 1734150 1765680 1849760 1942248 2023175 2207100 2209202 2312200 2427810 2522400 2589664 2774640 2942800 3237080 3313803 3468300 3531360 3884496 4046350 4414200 4418404 4624400 4855620 5523005 5549280 5885600 6069525 6474160 6627606 6936600 7732207 7768992 8092700 8828400 8836808 9248800 9711240 11046010 12139050 12150611 12948320 13255212 13873200 15464414 16185400 16569015 17656800 17673616 19422480 22092020 23196621 24278100 24301222 26510424 27615025 27746400 30928828 32370800 33138030 35347232 36451833 38661035 38844960 44184040 46393242 48556200 48602444 53020848 55230050 60753055 61857656 64741600 66276060 72903666 77322070 82845075 85054277 88368080 92786484 97112400 97204888 106041696 110460100 115983105 121506110 123715312 132552120 145807332 154644140 165690150 170108554 176736160 182259165 185572968 193305175 194224800 194409776 220920200 231966210 243012220 247430624 255162831 265104240 291614664 303765275 309288280 331380300 340217108 364518330 371145936 386610350 388819552 425271385 441840400 463932420 486024440 510325662 530208480 579915525 583229328 607530550 618576560 662760600 680434216 729036660 742291872 773220700 850542770 883680800 911295825 927864840 972048880 1020651324 1159831050 1160935651 1166458656 1215061100 1237153120 1275814155 1325521200 1360868432 1458073320 1546441400 1701085540 1822591650 1855729680 1944097760 2041302648 2126356925 2319662100 2321871302 2430122200 2551628310 2651042400 2721736864 2916146640 3092882800 3402171080 3482806953 3645183300 3711459360 4082605296 4252713850 4639324200 4643742604 4860244400 5103256620 5804678255 5832293280 6185765600 6379070775 6804342160 6965613906 7290366600 8126549557 8165210592 8505427700 9278648400 9287485208 9720488800 10206513240 11609356510 12758141550 12770292161 13608684320 13931227812 14580733200 16253099114 17010855400 17414034765 18557296800 18574970416 20413026480 23218713020 24379648671 25516283100 25540584322 27862455624 29023391275 29161466400 32506198228 34021710800 34828069530 37149940832 38310876483 40632747785 40826052960 46437426040 48759297342 51032566200 51081168644 55724911248 58046782550 63851460805 65012396456 68043421600 69656139060 76621752966 81265495570 87070173825 89392045127 92874852080 97518594684 102065132400 102162337288 111449822496 116093565100 121898243355 127702921610 130024792912 139312278120 153243505932 162530991140 174140347650 178784090254 185749704160 191554382415 195037189368 203163738925 204130264800 204324674576 232187130200 243796486710 255405843220 260049585824 268176135381 278624556240 306487011864 319257304025 325061982280 348280695300 357568180508 383108764830 390074378736 406327477850 408649349152 446960225635 464374260400 487592973420 510811686440 536352270762 557249112480 609491216775 612974023728 638514608050 650123964560 696561390600 715136361016 766217529660 780148757472 812654955700 893920451270 928748520800 957771912075 975185946840 1021623372880 1072704541524 1218982433550 1225948047456 1277029216100 1300247929120 1340880676905 1393122781200 1430272722032 1532435059320 1625309911400 1787840902540 1915543824150 1950371893680 2043246745760 2145409083048 2234801128175 2437964867100 2554058432200 2681761353810 2786245562400 2860545444064 3064870118640 3250619822800 3575681805080 3831087648300 3900743787360 4290818166096 4469602256350 4875929734200 5108116864400 5363522707620 6129740237280 6501239645600 6704403384525 7151363610160 7662175296600 8581636332192 8939204512700 9751859468400 10216233728800 10727045415240 13408806769050 14302727220320 15324350593200 17878409025400 19503718936800 21454090830480 26817613538100 30648701186400 35756818050800 42908181660960 53635227076200 71513636101600 107270454152400 214540908304800
• Sum of all divisors σ(n): 871475200017408
• Sum of proper divisors (its aliquot sum) s(n): 656934291712608
• 214540908304800 is an abundant number, because the sum of its proper divisors (656934291712608) is greater than itself. Its abundance is 442393383407808

Bases of 214540908304800

• Binary: 110000110001111110110010101000010001100110100000₂
• Hexadecimal: 0xC31FB2A119A0
• Base-36: 241QQDIT9C

Squares and roots of 214540908304800

• 214540908304800 squared (214540908304800²) is 46027801336248601609703040000
• 214540908304800 cubed (214540908304800³) is 9874846305951662150364525582597806592000000
• The square root of 214540908304800 is 14647215.0357943471
• The cube root of 214540908304800 is 59864.5935652779

Scales and comparisons

• 214,540,908,304,800 seconds is equal to 6,821,737 years, 13 weeks, 5 days, 15 hours, 20 minutes.
• To count from 1 to 214,540,908,304,800 would take you about seventeen million, fifty-four thousand, three hundred forty-three 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 214540908304800 cubic inches would be around 4988.7 feet tall.

Recreational maths with 214540908304800

• 214540908304800 backwards is 008403809045412
• 214540908304800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 214540908304800's digits is 48
• More coming soon!