45438862244700480

Names of 45438862244700480

• Cardinal: 45438862244700480 can be written as Forty-five quadrillion, four hundred thirty-eight trillion, eight hundred sixty-two billion, two hundred forty-four million, seven hundred thousand, four hundred eighty.

Scientific notation

• Scientific notation: 4.543886224470048 × 10¹⁶

Factors of 45438862244700480

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1596

Divisors of 45438862244700480

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 480 614 921 960 1228 1279 1535 1842 2456 2558 3070 3684 3837 4605 4912 5116 6140 6395 7368 7674 9210 9824 10232 12280 12790 14736 15348 18420 19185 19648 20464 24560 25580 29472 30696 36840 38370 40928 49120 51160 58944 61392 73680 76740 81856 94249 98240 102320 122784 147360 153480 188498 204640 245568 282747 294720 306960 376996 392653 409280 471245 565494 613920 753992 785306 942490 1130988 1177959 1227840 1413735 1507984 1570612 1635841 1884980 1963265 2261976 2355918 2827470 3015968 3141224 3271682 3769960 3926530 4523952 4711836 4907523 5654940 5889795 6031936 6282448 6543364 7539920 7853060 8179205 9047904 9423672 9815046 11309880 11779590 12564896 13086728 15079840 15706120 16358410 18095808 18847344 19630092 22619760 23559180 24537615 25129792 26173456 28934443 30159680 31412240 32716820 37694688 39260184 45239520 47118360 49075230 52346912 57868886 62824480 65433640 75389376 78520368 86803329 90479040 94236720 98150460 104693824 115737772 120544471 125648960 130867280 144672215 157040736 173606658 188473440 196300920 231475544 241088942 261734560 289344430 314081472 347213316 361633413 376946880 392601840 434016645 462951088 482177884 502203187 523469120 578688860 602722355 694426632 723266826 785203680 868033290 925902176 964355768 1004406374 1157377720 1205444710 1388853264 1446533652 1506609561 1570407360 1736066580 1808167065 1851804352 1928711536 2008812748 2314755440 2410889420 2511015935 2777706528 2893067304 3013219122 3472133160 3616334130 3857423072 4017625496 4629510880 4821778840 5022031870 5555413056 5786134608 6026438244 6944266320 7232668260 7533047805 7714846144 8035250992 9259021760 9643557680 10044063740 11572269216 12052876488 13888532640 14465336520 15066095610 16070501984 19287115360 20088127480 23144538432 24105752976 27777065280 28930673040 30132191220 32141003968 37007152597 38574230720 40176254960 48211505952 57861346080 60264382440 74014305194 80352509920 96423011904 111021457791 115722692160 120528764880 148028610388 154176378409 160705019840 185035762985 222042915582 241057529760 296057220776 308352756818 370071525970 444085831164 462529135227 482115059520 555107288955 592114441552 616705513636 740143051940 770881892045 888171662328 925058270454 1110214577910 1184228883104 1233411027272 1480286103880 1541763784090 1776343324656 1850116540908 2220429155820 2312645676135 2368457766208 2466822054544 2960572207760 3083527568180 3552686649312 3700233081816 4440858311640 4625291352270 4933644109088 5921144415520 6167055136360 7105373298624 7400466163632 8881716623280 9250582704540 9867288218176 11842288831040 12334110272720 14800932327264 17763433246560 18501165409080 24668220545440 29601864654528 35526866493120 37002330818160 47332148171563 49336441090880 74004661636320 94664296343126 141996444514689 148009323272640 189328592686252 236660740857815 283992889029378 378657185372504 473321481715630 567985778058756 709982222573445 757314370745008 946642963431260 1135971556117512 1419964445146890 1514628741490016 1893285926862520 2271943112235024 2839928890293780 3029257482980032 3786571853725040 4543886224470048 5679857780587560 7573143707450080 9087772448940096 11359715561175120 15146287414900160 22719431122350240 45438862244700480
• Sum of all divisors σ(n): 144853107831432000
• Sum of proper divisors (its aliquot sum) s(n): 99414245586731520
• 45438862244700480 is an abundant number, because the sum of its proper divisors (99414245586731520) is greater than itself. Its abundance is 53975383342031040

Bases of 45438862244700480

• Binary: 10100001011011100110011110001011000101111110000101000000₂
• Hexadecimal: 0xA16E678B17E140
• Base-36: CFEQD53U62O

Squares and roots of 45438862244700480

• 45438862244700480 squared (45438862244700480²) is 2064690202092866743985844912230400
• 45438862244700480 cubed (45438862244700480³) is 93817173670880566667783633749612621033136750592000
• The square root of 45438862244700480 is 213163932.7951623245
• The cube root of 45438862244700480 is 356841.8778514137

Scales and comparisons

• 45,438,862,244,700,480 seconds is equal to 1,444,815,267 years, 39 weeks, 19 hours, 28 minutes.
• To count from 1 to 45,438,862,244,700,480 would take you about four billion, three hundred thirty-four million, four hundred forty-five thousand, eight hundred 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 45438862244700480 cubic inches would be around 29736.8 feet tall.

Recreational maths with 45438862244700480

• 45438862244700480 backwards is 08400744226883454
• The number of decimal digits it has is: 17
• The sum of 45438862244700480's digits is 69
• More coming soon!