47138974698823680

Names of 47138974698823680

• Cardinal: 47138974698823680 can be written as Forty-seven quadrillion, one hundred thirty-eight trillion, nine hundred seventy-four billion, six hundred ninety-eight million, eight hundred twenty-three thousand, six hundred eighty.

Scientific notation

• Scientific notation: 4.713897469882368 × 10¹⁶

Factors of 47138974698823680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 797

Divisors of 47138974698823680

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 787 960 1024 1280 1536 1574 1920 2048 2361 2560 3072 3148 3840 3935 4096 4722 5120 6144 6296 7680 7870 8192 9444 10240 11805 12288 12592 15360 15740 18888 20480 23610 24576 25184 30720 31480 37776 40960 47220 50368 61440 62960 75552 94440 100736 122880 125920 151104 188880 201472 251840 302208 377760 402944 503680 604416 619369 755520 805888 1007360 1208832 1238738 1511040 1611776 1858107 2014720 2417664 2477476 3022080 3096845 3223552 3716214 4029440 4835328 4954952 6044160 6193690 6447104 7432428 8058880 9290535 9670656 9909904 12088320 12387380 14864856 16117760 18581070 19341312 19819808 24176640 24774760 29729712 32235520 37162140 39639616 48353280 49549520 59459424 74324280 79279232 96706560 99099040 118918848 148648560 158558464 198198080 237837696 297297120 317116928 396396160 475675392 487443403 594594240 634233856 792792320 951350784 974886806 1189188480 1268467712 1462330209 1585584640 1902701568 1949773612 2378376960 2437217015 2536935424 2924660418 3171169280 3805403136 3899547224 4756753920 4874434030 5073870848 5849320836 6342338560 7311651045 7610806272 7799094448 9513507840 9748868060 11698641672 12684677120 14623302090 15221612544 15598188896 19027015680 19497736120 23397283344 25369354240 29246604180 31196377792 38054031360 38995472240 46794566688 58493208360 62392755584 76108062720 77990944480 93589133376 116986416720 124785511168 155981888960 187178266752 233972833440 249571022336 311963777920 374356533504 383617958161 467945666880 499142044672 623927555840 748713067008 767235916322 935891333760 998284089344 1150853874483 1247855111680 1497426134016 1534471832644 1871782667520 1918089790805 1996568178688 2301707748966 2495710223360 2994852268032 3068943665288 3743565335040 3836179581610 3993136357376 4603415497932 4991420446720 5754269372415 5989704536064 6137887330576 7487130670080 7672359163220 9206830995864 9982840893440 11508538744830 11979409072128 12275774661152 14974261340160 15344718326440 18413661991728 19965681786880 23017077489660 24551549322304 29948522680320 30689436652880 36827323983456 46034154979320 49103098644608 59897045360640 61378873305760 73654647966912 92068309958640 98206197289216 122757746611520 147309295933824 184136619917280 196412394578432 245515493223040 294618591867648 368273239834560 392824789156864 491030986446080 589237183735296 736546479669120 785649578313728 982061972892160 1178474367470592 1473092959338240 1571299156627456 1964123945784320 2356948734941184 2946185918676480 3142598313254912 3928247891568640 4713897469882368 5892371837352960 7856495783137280 9427794939764736 11784743674705920 15712991566274560 23569487349411840 47138974698823680
• Sum of all divisors σ(n): 151027414892523432
• Sum of proper divisors (its aliquot sum) s(n): 103888440193699752
• 47138974698823680 is an abundant number, because the sum of its proper divisors (103888440193699752) is greater than itself. Its abundance is 56749465494876072

Bases of 47138974698823680

• Binary: 10100111011110001010010111010001111111111110000000000000₂
• Hexadecimal: 0xA778A5D1FFE000
• Base-36: CW5DE0RF4LC

Squares and roots of 47138974698823680

• 47138974698823680 squared (47138974698823680²) is 2222082935656339052563175728742400
• 47138974698823680 cubed (47138974698823680³) is 104746711282592013894526246074530941544045740032000
• The square root of 47138974698823680 is 217115118.5404270275
• The cube root of 47138974698823680 is 361237.9569475617

Scales and comparisons

• 47,138,974,698,823,680 seconds is equal to 1,498,873,585 years, 2 hours, 8 minutes.
• To count from 1 to 47,138,974,698,823,680 would take you about four billion, four hundred ninety-six million, six hundred twenty thousand, seven hundred fifty-five 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 47138974698823680 cubic inches would be around 30103.2 feet tall.

Recreational maths with 47138974698823680

• 47138974698823680 backwards is 08632889647983174
• The number of decimal digits it has is: 17
• The sum of 47138974698823680's digits is 93
• More coming soon!