1338390144
1,338,390,144 is an even composite number composed of six prime numbers multiplied together.
1338390144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1338390144:
27 × 32 × 7 × 13 × 17 × 751
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 751)See below for interesting mathematical facts about the number 1338390144 from the Numbermatics database.
Names of 1338390144
- Cardinal: 1338390144 can be written as One billion, three hundred thirty-eight million, three hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.338390144 × 109
Factors of 1338390144
Divisors of 1338390144
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 182 192 204 208 221 224 234 238 252 272 273 288 306 312 336 357 364 384 408 416 442 448 468 476 504 544 546 576 612 624 663 672 714 728 751 816 819 832 884 896 936 952 1008 1071 1088 1092 1152 1224 1248 1326 1344 1428 1456 1502 1547 1632 1638 1664 1768 1872 1904 1989 2016 2142 2176 2184 2253 2448 2496 2652 2688 2856 2912 3004 3094 3264 3276 3536 3744 3808 3978 4032 4284 4368 4506 4641 4896 4992 5257 5304 5712 5824 6008 6188 6528 6552 6759 7072 7488 7616 7956 8064 8568 8736 9012 9282 9763 9792 10514 10608 11424 11648 12016 12376 12767 13104 13518 13923 14144 14976 15232 15771 15912 17136 17472 18024 18564 19526 19584 21028 21216 22848 24032 24752 25534 26208 27036 27846 28288 29289 31542 31824 34272 34944 36048 37128 38301 39052 42056 42432 45696 47313 48064 49504 51068 52416 54072 55692 58578 63084 63648 68341 68544 72096 74256 76602 78104 84112 84864 87867 89369 94626 96128 99008 102136 104832 108144 111384 114903 117156 126168 127296 136682 137088 144192 148512 153204 156208 165971 168224 175734 178738 189252 198016 204272 205023 216288 222768 229806 234312 252336 254592 268107 273364 288384 297024 306408 312416 331942 336448 351468 357476 378504 408544 410046 432576 445536 459612 468624 497913 504672 536214 546728 594048 612816 615069 624832 663884 672896 702936 714952 757008 804321 817088 820092 865152 891072 919224 937248 995826 1009344 1072428 1093456 1161797 1225632 1230138 1249664 1327768 1405872 1429904 1493739 1514016 1608642 1634176 1640184 1782144 1838448 1874496 1991652 2018688 2144856 2186912 2323594 2451264 2460276 2655536 2811744 2859808 2987478 3028032 3217284 3280368 3485391 3676896 3748992 3983304 4289712 4373824 4647188 4902528 4920552 5311072 5623488 5719616 5974956 6056064 6434568 6560736 6970782 7353792 7966608 8579424 8747648 9294376 9841104 10456173 10622144 11246976 11439232 11949912 12869136 13121472 13941564 14707584 15933216 17158848 18588752 19682208 20912346 21244288 23899824 25738272 26242944 27883128 31866432 34317696 37177504 39364416 41824692 47799648 51476544 55766256 63732864 74355008 78728832 83649384 95599296 102953088 111532512 148710016 167298768 191198592 223065024 334597536 446130048 669195072 1338390144
- Sum of all divisors σ(n): 5025646080
- Sum of proper divisors (its aliquot sum) s(n): 3687255936
- 1338390144 is an abundant number, because the sum of its proper divisors (3687255936) is greater than itself. Its abundance is 2348865792
Bases of 1338390144
- Binary: 10011111100011000110110100000002
- Hexadecimal: 0x4FC63680
- Base-36: M4UCG0
Squares and roots of 1338390144
- 1338390144 squared (13383901442) is 1791288177556340736
- 1338390144 cubed (13383901443) is 2397442441905128445768105984
-
The
square root of 1338390144 is 36584.0148698853 -
The
cube root of 1338390144 is 1102.0320960171
Scales and comparisons
How big is 1338390144?- 1,338,390,144 seconds is equal to 42 years, 28 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 1,338,390,144 would take you about eighty-five 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 1338390144 cubic inches would be around 91.8 feet tall.
Recreational maths with 1338390144
- 1338390144 backwards is 4410938331
- 1338390144 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1338390144's digits is 36
- More coming soon!
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