38340138816
38,340,138,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 38340138816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
38340138816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 38340138816:
26 × 32 × 7 × 37 × 233 × 1103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 37 × 233 × 1103)See below for interesting mathematical facts about the number 38340138816 from the Numbermatics database.
Names of 38340138816
- Cardinal: 38340138816 can be written as Thirty-eight billion, three hundred forty million, one hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.8340138816 × 1010
Factors of 38340138816
Divisors of 38340138816
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 64 72 74 84 96 111 112 126 144 148 168 192 222 224 233 252 259 288 296 333 336 444 448 466 504 518 576 592 666 672 699 777 888 932 1008 1036 1103 1184 1332 1344 1398 1554 1631 1776 1864 2016 2072 2097 2206 2331 2368 2664 2796 3108 3262 3309 3552 3728 4032 4144 4194 4412 4662 4893 5328 5592 6216 6524 6618 7104 7456 7721 8288 8388 8621 8824 9324 9786 9927 10656 11184 12432 13048 13236 14679 14912 15442 16576 16776 17242 17648 18648 19572 19854 21312 22368 23163 24864 25863 26096 26472 29358 30884 33552 34484 35296 37296 39144 39708 40811 44736 46326 49728 51726 52192 52944 58716 60347 61768 67104 68968 69489 70592 74592 77589 78288 79416 81622 92652 103452 104384 105888 117432 120694 122433 123536 134208 137936 138978 149184 155178 156576 158832 163244 181041 185304 206904 211776 234864 241388 244866 247072 256999 275872 277956 285677 310356 313152 317664 326488 362082 367299 370608 413808 469728 482776 489732 494144 513998 543123 551744 555912 571354 620712 635328 652976 724164 734598 741216 770997 827616 857031 939456 965552 979464 1027996 1086246 1111824 1142708 1241424 1305952 1448328 1469196 1482432 1541994 1655232 1714062 1798993 1931104 1958928 2055992 2172492 2223648 2285416 2312991 2482848 2571093 2611904 2896656 2938392 3083988 3428124 3597986 3862208 3917856 4111984 4344984 4447296 4570832 4625982 4965696 5142186 5396979 5793312 5876784 6167976 6856248 7195972 7835712 8223968 8689968 9141664 9251964 9508963 10284372 10793958 11586624 11753568 12335952 13712496 14391944 16190937 16447936 17379936 18283328 18503928 19017926 20568744 21587916 23507136 24671904 27424992 28526889 28783888 32381874 34759872 37007856 38035852 41137488 43175832 49343808 54849984 57053778 57567776 64763748 66562741 74015712 76071704 82274976 85580667 86351664 114107556 115135552 129527496 133125482 148031424 152143408 164549952 171161334 172703328 199688223 228215112 259054992 266250964 304286816 342322668 345406656 399376446 456430224 518109984 532501928 599064669 608573632 684645336 798752892 912860448 1036219968 1065003856 1198129338 1369290672 1597505784 1825720896 2130007712 2396258676 2738581344 3195011568 4260015424 4792517352 5477162688 6390023136 9585034704 12780046272 19170069408 38340138816
- Sum of all divisors σ(n): 129659871744
- Sum of proper divisors (its aliquot sum) s(n): 91319732928
- 38340138816 is an abundant number, because the sum of its proper divisors (91319732928) is greater than itself. Its abundance is 52979594112
Bases of 38340138816
- Binary: 1000111011010100000000010111010000002
- Hexadecimal: 0x8ED401740
- Base-36: HM2Q8G0
Squares and roots of 38340138816
- 38340138816 squared (383401388162) is 1469966244430149881856
- 38340138816 cubed (383401388163) is 56358709866286133286045039722496
-
The
square root of 38340138816 is 195806.3809379051 -
The
cube root of 38340138816 is 3371.9766634235
Scales and comparisons
How big is 38340138816?- 38,340,138,816 seconds is equal to 1,219 years, 5 weeks, 14 hours, 33 minutes, 36 seconds.
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To count from 1 to 38,340,138,816 would take you about two thousand, four hundred thirty-eight 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 38340138816 cubic inches would be around 281 feet tall.
Recreational maths with 38340138816
- 38340138816 backwards is 61883104383
- The number of decimal digits it has is: 11
- The sum of 38340138816's digits is 45
- More coming soon!
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