138584968704
138,584,968,704 is an even composite number composed of six prime numbers multiplied together.
138584968704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138584968704:
29 × 32 × 7 × 13 × 167 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 167 × 1979)See below for interesting mathematical facts about the number 138584968704 from the Numbermatics database.
Names of 138584968704
- Cardinal: 138584968704 can be written as One hundred thirty-eight billion, five hundred eighty-four million, nine hundred sixty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38584968704 × 1011
Factors of 138584968704
Divisors of 138584968704
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 167 168 182 192 208 224 234 252 256 273 288 312 334 336 364 384 416 448 468 501 504 512 546 576 624 668 672 728 768 819 832 896 936 1002 1008 1092 1152 1169 1248 1336 1344 1456 1503 1536 1638 1664 1792 1872 1979 2004 2016 2171 2184 2304 2338 2496 2672 2688 2912 3006 3276 3328 3507 3584 3744 3958 4008 4032 4342 4368 4608 4676 4992 5344 5376 5824 5937 6012 6513 6552 6656 7014 7488 7916 8016 8064 8684 8736 9352 9984 10521 10688 10752 11648 11874 12024 13026 13104 13853 14028 14976 15197 15832 16032 16128 17368 17472 17811 18704 19539 19968 21042 21376 23296 23748 24048 25727 26052 26208 27706 28056 29952 30394 31664 32064 32256 34736 34944 35622 37408 39078 41559 42084 42752 45591 46592 47496 48096 51454 52104 52416 55412 56112 59904 60788 63328 64128 69472 69888 71244 74816 77181 78156 83118 84168 85504 91182 94992 96192 102908 104208 104832 110824 112224 121576 124677 126656 128256 136773 138944 139776 142488 149632 154362 156312 166236 168336 180089 182364 189984 192384 205816 208416 209664 221648 224448 231543 243152 249354 253312 256512 273546 277888 284976 299264 308724 312624 330493 332472 336672 360178 364728 379968 384768 411632 416832 419328 443296 448896 463086 486304 498708 506624 540267 547092 555776 569952 598528 617448 625248 660986 664944 673344 720356 729456 759936 769536 823264 833664 886592 897792 926172 972608 991479 997416 1013248 1080534 1094184 1111552 1139904 1234896 1250496 1321972 1329888 1346688 1440712 1458912 1519872 1620801 1646528 1667328 1773184 1795584 1852344 1945216 1982958 1994832 2161068 2188368 2279808 2313451 2469792 2500992 2643944 2659776 2693376 2881424 2917824 2974437 3039744 3241602 3293056 3334656 3546368 3704688 3890432 3965916 3989664 4296409 4322136 4376736 4559616 4626902 4939584 5001984 5287888 5319552 5386752 5762848 5835648 5948874 6483204 6586112 6940353 7092736 7409376 7780864 7931832 7979328 8592818 8644272 8753472 9119232 9253804 9879168 10003968 10575776 10639104 11525696 11671296 11897748 12889227 12966408 13172224 13880706 14818752 15863664 15958656 17185636 17288544 17506944 18507608 19758336 20821059 21151552 21278208 23051392 23342592 23795496 25778454 25932816 27761412 29637504 30074863 31727328 31917312 34371272 34577088 35013888 37015216 38667681 39516672 41642118 42303104 46102784 47590992 51556908 51865632 55522824 59275008 60149726 63454656 63834624 68742544 69154176 70027776 74030432 77335362 83284236 84606208 90224589 92205568 95181984 103113816 103731264 111045648 118550016 120299452 126909312 137485088 138308352 148060864 154670724 166568472 169212416 180449178 190363968 206227632 207462528 222091296 240598904 253818624 270673767 274970176 276616704 296121728 309341448 333136944 360898356 380727936 412455264 414925056 444182592 481197808 507637248 541347534 549940352 592243456 618682896 666273888 721796712 761455872 824910528 829850112 888365184 962395616 1082695068 1099880704 1184486912 1237365792 1332547776 1443593424 1522911744 1649821056 1776730368 1924791232 2165390136 2199761408 2474731584 2665095552 2887186848 3299642112 3553460736 3849582464 4330780272 4949463168 5330191104 5774373696 6599284224 7699164928 8661560544 9898926336 10660382208 11548747392 15398329856 17323121088 19797852672 23097494784 34646242176 46194989568 69292484352 138584968704
- Sum of all divisors σ(n): 495463288320
- Sum of proper divisors (its aliquot sum) s(n): 356878319616
- 138584968704 is an abundant number, because the sum of its proper divisors (356878319616) is greater than itself. Its abundance is 218293350912
Bases of 138584968704
- Binary: 100000010001000100111011001110000000002
- Hexadecimal: 0x20444ECE00
- Base-36: 1RNXWU80
Squares and roots of 138584968704
- 138584968704 squared (1385849687042) is 19205793550688659439616
- 138584968704 cubed (1385849687043) is 2661634298157672906086897537777664
-
The
square root of 138584968704 is 372270.0212265285 -
The
cube root of 138584968704 is 5174.9406819219
Scales and comparisons
How big is 138584968704?- 138,584,968,704 seconds is equal to 4,406 years, 29 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,584,968,704 would take you about eight thousand, eight hundred thirteen 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 138584968704 cubic inches would be around 431.2 feet tall.
Recreational maths with 138584968704
- 138584968704 backwards is 407869485831
- 138584968704 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138584968704's digits is 63
- More coming soon!
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