1138422048416640
1,138,422,048,416,640 is an even composite number composed of eight prime numbers multiplied together.
1138422048416640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 1138422048416640:
27 × 32 × 5 × 132 × 37 × 53 × 79 × 7549
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 37 × 53 × 79 × 7549)See below for interesting mathematical facts about the number 1138422048416640 from the Numbermatics database.
Names of 1138422048416640
- Cardinal: 1138422048416640 can be written as One quadrillion, one hundred thirty-eight trillion, four hundred twenty-two billion, forty-eight million, four hundred sixteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.13842204841664 × 1015
Factors of 1138422048416640
Divisors of 1138422048416640
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 37 39 40 45 48 52 53 60 64 65 72 74 78 79 80 90 96 104 106 111 117 120 128 130 144 148 156 158 159 160 169 180 185 192 195 208 212 222 234 237 240 260 265 288 296 312 316 318 320 333 338 360 370 384 390 395 416 424 444 468 474 477 480 481 507 520 530 555 576 585 592 624 632 636 640 666 676 689 711 720 740 780 790 795 832 845 848 888 936 948 954 960 962 1014 1027 1040 1060 1110 1152 1170 1184 1185 1248 1264 1272 1332 1352 1378 1422 1440 1443 1480 1521 1560 1580 1590 1664 1665 1690 1696 1776 1872 1896 1908 1920 1924 1961 2028 2054 2067 2080 2120 2220 2340 2368 2370 2385 2405 2496 2528 2535 2544 2664 2704 2756 2844 2880 2886 2923 2960 3042 3081 3120 3160 3180 3330 3380 3392 3445 3552 3555 3744 3792 3816 3848 3922 4056 4108 4134 4160 4187 4240 4329 4440 4680 4736 4740 4770 4810 4992 5056 5070 5088 5135 5328 5408 5512 5688 5760 5772 5846 5883 5920 6084 6162 6201 6240 6253 6320 6360 6660 6760 6784 6890 7104 7110 7215 7488 7549 7584 7605 7632 7696 7844 8112 8216 8268 8320 8374 8480 8658 8769 8880 8957 9243 9360 9480 9540 9620 9805 10112 10140 10176 10270 10335 10656 10816 11024 11376 11544 11692 11766 11840 12168 12324 12402 12480 12506 12561 12640 12720 13320 13351 13520 13780 14208 14220 14430 14615 14976 15098 15168 15210 15264 15392 15405 15688 16224 16432 16536 16748 16960 17316 17538 17649 17760 17914 18486 18720 18759 18960 19080 19240 19610 20280 20352 20540 20670 20935 21312 21632 21645 22048 22647 22752 23088 23384 23532 23680 24336 24648 24804 24960 25012 25122 25280 25440 25493 26307 26640 26702 26871 27040 27560 28440 28860 29230 29415 30196 30336 30420 30528 30784 30810 31005 31265 31376 32448 32864 33072 33496 33920 34632 35076 35298 35520 35828 36972 37440 37518 37683 37745 37920 37999 38160 38480 39220 40053 40560 41080 41340 41870 42624 43290 43845 44096 44785 45294 45504 46176 46215 46768 47064 48672 49296 49608 50024 50244 50560 50880 50986 52614 53280 53404 53742 54080 54431 55120 56277 56880 57720 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5473182925080 5838061786752 5929281502170 6153632694144 6324566935648 6736225138560 7115137802604 7159887096960 7205202838080 7297577233440 7692040867680 7905708669560 8757092680128 8893922253255 9486850403472 9730102977920 10256054490240 10739830645440 10946365850160 11858563004340 12649133871296 14230275605208 14410405676160 14595154466880 15384081735360 15811417339120 17514185360256 17787844506510 18973700806944 21479661290880 21892731700320 23717126008680 25298267742592 28460551210416 29190308933760 30768163470720 31622834678240 35575689013020 37947401613888 43785463400640 47434252017360 56921102420832 63245669356480 71151378026040 75894803227776 87570926801280 94868504034720 113842204841664 126491338712960 142302756052080 189737008069440 227684409683328 284605512104160 379474016138880 569211024208320 1138422048416640
- Sum of all divisors σ(n): 4511283996960000
- Sum of proper divisors (its aliquot sum) s(n): 3372861948543360
- 1138422048416640 is an abundant number, because the sum of its proper divisors (3372861948543360) is greater than itself. Its abundance is 2234439900126720
Bases of 1138422048416640
- Binary: 1000000101101100011100010011100110011100011100000002
- Hexadecimal: 0x40B6389CCE380
- Base-36: B7JBVAFVK0
Squares and roots of 1138422048416640
- 1138422048416640 squared (11384220484166402) is 1296004760321138628331028889600
- 1138422048416640 cubed (11384220484166403) is 1475400394002507198296719928553437777362944000
-
The
square root of 1138422048416640 is 33740510.4943099519 -
The
cube root of 1138422048416640 is 104416.1716682893
Scales and comparisons
How big is 1138422048416640?- 1,138,422,048,416,640 seconds is equal to 36,198,299 years, 39 weeks, 6 days, 22 hours, 24 minutes.
-
To count from 1 to 1,138,422,048,416,640 would take you about one hundred eight million, five hundred ninety-four thousand, eight hundred ninety-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 1138422048416640 cubic inches would be around 8701.3 feet tall.
Recreational maths with 1138422048416640
- 1138422048416640 backwards is 0466148402248311
- The number of decimal digits it has is: 16
- The sum of 1138422048416640's digits is 54
- More coming soon!
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"Number 1138422048416640 - Facts about the integer". Numbermatics.com. 2024. Web. 28 September 2024.
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Numbermatics. (2024). Number 1138422048416640 - Facts about the integer. Retrieved 28 September 2024, from https://numbermatics.com/n/1138422048416640/
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The information we have on file for 1138422048416640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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