138608680224
138,608,680,224 is an even composite number composed of seven prime numbers multiplied together.
138608680224 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138608680224:
25 × 3 × 72 × 19 × 67 × 79 × 293
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 67 × 79 × 293)See below for interesting mathematical facts about the number 138608680224 from the Numbermatics database.
Names of 138608680224
- Cardinal: 138608680224 can be written as One hundred thirty-eight billion, six hundred eight million, six hundred eighty thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38608680224 × 1011
Factors of 138608680224
Divisors of 138608680224
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 67 76 79 84 96 98 112 114 133 134 147 152 158 168 196 201 224 228 237 266 268 293 294 304 316 336 392 399 402 456 469 474 532 536 553 586 588 608 632 672 784 798 804 879 912 931 938 948 1064 1072 1106 1172 1176 1264 1273 1407 1501 1568 1596 1608 1659 1758 1824 1862 1876 1896 2051 2128 2144 2212 2344 2352 2528 2546 2793 2814 3002 3192 3216 3283 3318 3516 3724 3752 3792 3819 3871 4102 4256 4424 4503 4688 4704 5092 5293 5567 5586 5628 6004 6153 6384 6432 6566 6636 7032 7448 7504 7584 7638 7742 8204 8848 8911 9006 9376 9849 10184 10507 10586 11134 11172 11256 11613 12008 12306 12768 13132 13272 14064 14357 14896 15008 15276 15484 15879 16408 16701 17696 17822 18012 19631 19698 20368 21014 21172 22268 22344 22512 23147 23226 24016 24612 26264 26544 26733 28128 28714 29792 30552 30968 31521 31758 32816 33402 35644 36024 37051 38969 39262 39396 40736 42028 42344 43071 44536 44688 45024 46294 46452 48032 49224 52528 53088 53466 57428 58893 61104 61936 62377 63042 63516 65632 66804 69441 71288 72048 73549 74102 77938 78524 78792 84056 84688 86142 89072 89376 92588 92904 98448 100567 105056 106932 111153 114856 116907 117786 122208 123872 124754 126084 127032 133608 137417 138882 142576 144096 147098 148204 155876 157048 157584 162029 168112 169376 172284 178144 185176 185808 187131 196896 201134 213864 220647 222306 229712 233814 235572 249508 252168 254064 259357 267216 272783 274834 277764 285152 294196 296408 301701 311752 314096 315168 324058 336224 344568 370352 371616 372989 374262 402268 412251 427728 439793 441294 444612 459424 467628 471144 486087 499016 504336 508128 518714 534432 545566 549668 555528 588392 592816 603402 623504 628192 648116 689136 703969 740704 745978 748524 778071 804536 818349 824502 855456 879586 882588 889224 935256 942288 961919 972174 998032 1008672 1037428 1091132 1099336 1111056 1118967 1134203 1176784 1185632 1206804 1247008 1296232 1319379 1378272 1407938 1491956 1497048 1550849 1556142 1609072 1636698 1649004 1759172 1765176 1778448 1870512 1884576 1923838 1944348 1996064 2074856 2111907 2182264 2198672 2222112 2237934 2268406 2353568 2413608 2592464 2610923 2638758 2815876 2885757 2983912 2994096 3078551 3101698 3112284 3218144 3273396 3298008 3402609 3518344 3530352 3556896 3741024 3847676 3888696 4149712 4223814 4364528 4397344 4475868 4536812 4652547 4827216 4927783 5184928 5221846 5277516 5631752 5771514 5967824 5988192 6157102 6203396 6224568 6546792 6596016 6805218 7036688 7060704 7695352 7777392 7832769 8299424 8447628 8729056 8951736 9073624 9235653 9305094 9654432 9855566 10443692 10555032 10855943 11263504 11543028 11935648 12314204 12406792 12449136 13093584 13192032 13610436 14073376 14783349 15390704 15554784 15665538 16895256 17903472 18147248 18276461 18471306 18610188 19711132 20887384 21110064 21549857 21711886 22527008 23086056 24628408 24813584 24898272 26187168 27220872 29466131 29566698 30781408 31331076 32567829 33790512 35806944 36294496 36552922 36942612 37220376 39422264 41774768 42220128 43099714 43423772 46172112 49256816 49627168 54441744 54829383 58932262 59133396 62662152 64649571 65135658 67581024 73105844 73885224 74440752 75991601 78844528 83549536 86199428 86847544 88398393 92344224 98513632 108883488 109658766 117864524 118266792 125324304 129299142 130271316 146211688 147770448 148881504 151983202 157689056 172398856 173695088 176796786 206262917 219317532 227974803 235729048 236533584 250648608 258598284 260542632 292423376 295540896 303966404 344797712 347390176 353593572 412525834 438635064 455949606 471458096 473067168 517196568 521085264 584846752 607932808 618788751 689595424 707187144 825051668 877270128 911899212 942916192 1034393136 1042170528 1215865616 1237577502 1414374288 1443840419 1650103336 1754540256 1823798424 2068786272 2431731232 2475155004 2828748576 2887680838 3300206672 3647596848 4331521257 4950310008 5775361676 6600413344 7295193696 8663042514 9900620016 11550723352 17326085028 19801240032 23101446704 34652170056 46202893408 69304340112 138608680224
- Sum of all divisors σ(n): 459464140800
- Sum of proper divisors (its aliquot sum) s(n): 320855460576
- 138608680224 is an abundant number, because the sum of its proper divisors (320855460576) is greater than itself. Its abundance is 182246780352
Bases of 138608680224
- Binary: 100000010001011011100010011101001000002
- Hexadecimal: 0x2045B89D20
- Base-36: 1ROC125C
Squares and roots of 138608680224
- 138608680224 squared (1386086802242) is 19212366233439088690176
- 138608680224 cubed (1386086802243) is 2663000727597133980038580194279424
-
The
square root of 138608680224 is 372301.8670702583 -
The
cube root of 138608680224 is 5175.2358046253
Scales and comparisons
How big is 138608680224?- 138,608,680,224 seconds is equal to 4,407 years, 17 weeks, 3 hours, 10 minutes, 24 seconds.
-
To count from 1 to 138,608,680,224 would take you about eight thousand, eight hundred fourteen 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 138608680224 cubic inches would be around 431.3 feet tall.
Recreational maths with 138608680224
- 138608680224 backwards is 422086806831
- 138608680224 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138608680224's digits is 48
- More coming soon!
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