72073423682304
72,073,423,682,304 is an even composite number composed of six prime numbers multiplied together.
What does the number 72073423682304 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
72073423682304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 72073423682304:
28 × 3 × 11 × 37 × 359 × 642281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 37 × 359 × 642281)See below for interesting mathematical facts about the number 72073423682304 from the Numbermatics database.
Names of 72073423682304
- Cardinal: 72073423682304 can be written as Seventy-two trillion, seventy-three billion, four hundred twenty-three million, six hundred eighty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 7.2073423682304 × 1013
Factors of 72073423682304
Divisors of 72073423682304
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 359 384 407 444 528 592 704 718 768 814 888 1056 1077 1184 1221 1408 1436 1628 1776 2112 2154 2368 2442 2816 2872 3256 3552 3949 4224 4308 4736 4884 5744 6512 7104 7898 8448 8616 9472 9768 11488 11847 13024 13283 14208 15796 17232 19536 22976 23694 26048 26566 28416 31592 34464 39072 39849 45952 47388 52096 53132 63184 68928 78144 79698 91904 94776 104192 106264 126368 137856 146113 156288 159396 189552 212528 252736 275712 292226 312576 318792 379104 425056 438339 505472 584452 637584 642281 758208 850112 876678 1010944 1168904 1275168 1284562 1516416 1700224 1753356 1926843 2337808 2550336 2569124 3032832 3400448 3506712 3853686 4675616 5100672 5138248 7013424 7065091 7707372 9351232 10201344 10276496 14026848 14130182 15414744 18702464 20552992 21195273 23764397 28053696 28260364 30829488 37404928 41105984 42390546 47528794 56107392 56520728 61658976 71293191 82211968 84781092 95057588 112214784 113041456 123317952 142586382 164423936 169562184 190115176 226082912 230578879 246635904 261408367 285172764 339124368 380230352 452165824 461157758 493271808 522816734 570345528 678248736 691736637 760460704 784225101 904331648 922315516 1045633468 1140691056 1356497472 1383473274 1520921408 1568450202 1808663296 1844631032 2091266936 2281382112 2536367669 2712994944 2766946548 3041842816 3136900404 3689262064 4182533872 4562764224 5072735338 5425989888 5533893096 6083685632 6273800808 7378524128 7609103007 8365067744 8531418523 9125528448 10145470676 11067786192 12547601616 14757048256 15218206014 16730135488 17062837046 18251056896 20290941352 22135572384 25095203232 25594255569 29514096512 30436412028 33460270976 34125674092 40581882704 44271144768 50190406464 51188511138 59028193024 60872824056 66920541952 68251348184 81163765408 88542289536 93845603753 100380812928 102377022276 121745648112 136502696368 162327530816 177084579072 187691207506 200761625856 204754044552 243491296224 273005392736 281536811259 324655061632 375382415012 409508089104 486982592448 546010785472 563073622518 649310123264 750764830024 819016178208 973965184896 1092021570944 1126147245036 1501529660048 1638032356416 1947930369792 2184043141888 2252294490072 3003059320096 3276064712832 4504588980144 6006118640192 6552129425664 9009177960288 12012237280384 18018355920576 24024474560768 36036711841152 72073423682304
- Sum of all divisors σ(n): 215513254817280
- Sum of proper divisors (its aliquot sum) s(n): 143439831134976
- 72073423682304 is an abundant number, because the sum of its proper divisors (143439831134976) is greater than itself. Its abundance is 71366407452672
Bases of 72073423682304
- Binary: 100000110001100111001101101000011111011000000002
- Hexadecimal: 0x418CE6D0FB00
- Base-36: PJQ2NKVEO
Squares and roots of 72073423682304
- 72073423682304 squared (720734236823042) is 5194578401288899078722748416
- 72073423682304 cubed (720734236823043) is 374391049967040190018115943317794103230464
-
The
square root of 72073423682304 is 8489606.8037515141 -
The
cube root of 72073423682304 is 41615.8130839453
Scales and comparisons
How big is 72073423682304?- 72,073,423,682,304 seconds is equal to 2,291,711 years, 48 weeks, 4 days, 11 hours, 18 minutes, 24 seconds.
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To count from 1 to 72,073,423,682,304 would take you about five million, seven hundred twenty-nine thousand, two hundred seventy-nine 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 72073423682304 cubic inches would be around 3468 feet tall.
Recreational maths with 72073423682304
- 72073423682304 backwards is 40328632437027
- The number of decimal digits it has is: 14
- The sum of 72073423682304's digits is 51
- More coming soon!
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