40738059052328448
40,738,059,052,328,448 is an even composite number composed of four prime numbers multiplied together.
What does the number 40738059052328448 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 120 divisors.
40738059052328448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 40738059052328448:
29 × 32 × 37 × 238938503263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 238938503263)See below for interesting mathematical facts about the number 40738059052328448 from the Numbermatics database.
Names of 40738059052328448
- Cardinal: 40738059052328448 can be written as Forty quadrillion, seven hundred thirty-eight trillion, fifty-nine billion, fifty-two million, three hundred twenty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.0738059052328448 × 1016
Factors of 40738059052328448
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 238938503305
Divisors of 40738059052328448
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 85248 170496 238938503263 477877006526 716815509789 955754013052 1433631019578 1911508026104 2150446529367 2867262039156 3823016052208 4300893058734 5734524078312 7646032104416 8601786117468 8840724620731 11469048156624 15292064208832 17203572234936 17681449241462 22938096313248 26522173862193 30584128417664 34407144469872 35362898482924 45876192626496 53044347724386 61168256835328 68814288939744 70725796965848 79566521586579 91752385252992 106088695448772 122336513670656 137628577879488 141451593931696 159133043173158 183504770505984 212177390897544 275257155758976 282903187863392 318266086346316 367009541011968 424354781795088 550514311517952 565806375726784 636532172692632 848709563590176 1101028623035904 1131612751453568 1273064345385264 1697419127180352 2263225502907136 2546128690770528 3394838254360704 4526451005814272 5092257381541056 6789676508721408 10184514763082112 13579353017442816 20369029526164224 40738059052328448
- Sum of all divisors σ(n): 120750439886501568
- Sum of proper divisors (its aliquot sum) s(n): 80012380834173120
- 40738059052328448 is an abundant number, because the sum of its proper divisors (80012380834173120) is greater than itself. Its abundance is 39274321781844672
Bases of 40738059052328448
- Binary: 100100001011101100001100100000101010011100100110000000002
- Hexadecimal: 0x90BB0C82A72600
- Base-36: B54FPYU8OW0
Squares and roots of 40738059052328448
- 40738059052328448 squared (407380590523284482) is 1659589455350999806743130470088704
- 40738059052328448 cubed (407380590523284483) is 67608453234710636351773362070339310946788302651392
-
The
square root of 40738059052328448 is 201836713.8365278875 -
The
cube root of 40738059052328448 is 344085.8218705221
Scales and comparisons
How big is 40738059052328448?- 40,738,059,052,328,448 seconds is equal to 1,295,344,266 years, 40 weeks, 1 day, 15 hours, 40 minutes, 48 seconds.
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To count from 1 to 40,738,059,052,328,448 would take you about three billion, eight hundred eighty-six million, thirty-two thousand, eight hundred 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 40738059052328448 cubic inches would be around 28673.8 feet tall.
Recreational maths with 40738059052328448
- 40738059052328448 backwards is 84482325095083704
- 40738059052328448 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40738059052328448's digits is 72
- More coming soon!
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