138674742573695328
138,674,742,573,695,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138674742573695328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138674742573695328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138674742573695328:
25 × 32 × 72 × 112 × 13 × 532 × 2223967
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 13 × 53 × 53 × 2223967)See below for interesting mathematical facts about the number 138674742573695328 from the Numbermatics database.
Names of 138674742573695328
- Cardinal: 138674742573695328 can be written as One hundred thirty-eight quadrillion, six hundred seventy-four trillion, seven hundred forty-two billion, five hundred seventy-three million, six hundred ninety-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38674742573695328 × 1017
Factors of 138674742573695328
Divisors of 138674742573695328
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 49 52 53 56 63 66 72 77 78 84 88 91 96 98 99 104 106 112 117 121 126 132 143 144 147 154 156 159 168 176 182 196 198 208 212 224 231 234 242 252 264 273 286 288 294 308 312 318 336 352 363 364 371 392 396 416 424 429 441 462 468 477 484 504 528 539 546 572 583 588 616 624 636 637 672 689 693 726 728 742 784 792 819 847 848 858 882 924 936 954 968 1001 1008 1056 1078 1089 1092 1113 1144 1166 1176 1232 1248 1272 1274 1287 1378 1386 1452 1456 1484 1568 1573 1584 1617 1638 1694 1696 1716 1749 1764 1848 1872 1908 1911 1936 2002 2016 2067 2156 2178 2184 2226 2288 2332 2352 2464 2541 2544 2548 2574 2597 2756 2772 2809 2904 2912 2968 3003 3146 3168 3234 3276 3339 3388 3432 3498 3528 3696 3744 3816 3822 3872 4004 4081 4134 4312 4356 4368 4452 4576 4664 4704 4719 4823 4851 5082 5088 5096 5148 5194 5247 5512 5544 5618 5733 5808 5929 5936 6006 6201 6292 6413 6468 6552 6678 6776 6864 6996 7007 7056 7392 7579 7623 7632 7644 7791 8008 8162 8268 8427 8624 8712 8736 8904 9009 9328 9438 9646 9702 10164 10192 10296 10388 10494 11011 11024 11088 11236 11466 11616 11858 11872 12012 12243 12402 12584 12826 12936 13104 13356 13552 13728 13992 14014 14112 14157 14469 15158 15246 15264 15288 15582 16016 16324 16536 16854 17248 17424 17787 17808 18018 18656 18876 19239 19292 19404 19663 20328 20384 20592 20776 20988 21021 22022 22048 22176 22472 22737 22932 23373 23716 24024 24486 24804 25168 25281 25652 25872 26208 26712 27104 27984 28028 28314 28567 28938 30316 30492 30576 30899 31164 32032 32648 33033 33072 33708 33761 34848 35574 35616 36036 36517 36729 37752 38478 38584 38808 39326 40656 41184 41552 41976 42042 43407 44044 44891 44944 45474 45864 46746 47432 48048 48972 49608 50336 50562 51304 51744 53053 53361 53424 55968 56056 56628 57134 57717 57876 58989 60632 60984 61152 61798 62328 63063 65296 66066 66144 67416 67522 68211 71148 72072 73034 73458 75504 76956 77077 77168 77616 78652 81312 83104 83369 83952 84084 85701 86814 88088 89782 89888 90948 91728 92697 93492 94864 96096 97944 99099 99216 101124 101283 102608 106106 106722 106848 109551 112112 113256 114268 115434 115752 117978 121264 121968 123596 124656 126126 130592 132132 134673 134832 135044 136422 137641 142296 144144 146068 146916 151008 153912 154154 154336 155232 157304 159159 166738 167904 168168 171402 173628 176176 176967 179564 181896 183456 185394 186984 189728 195888 198198 198432 202248 202566 205216 212212 213444 216293 219102 224224 226512 228536 230868 231231 231504 235956 242528 243936 247192 249312 250107 252252 255619 257103 264264 269346 269664 270088 272844 275282 278091 284592 288288 292136 293832 303849 307824 308308 314237 314608 318318 328653 333476 336336 339889 342804 347256 352352 353934 359128 363792 370788 371371 373968 391776 396396 401687 404019 404496 405132 412923 424424 426888 432586 438204 453024 457072 461736 462462 463008 471912 477477 494384 500214 504504 511238 514206 528528 538692 540176 545688 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1444528568475993 1523898270040608 1575849347428356 1650889792543992 1777881315047376 1800970682775264 1926038091301324 2101132463237808 2201186390058656 2476334688815988 2616504576862176 2666821972571064 2830096787218272 2889057136951986 3151698694856712 3301779585087984 3555762630094752 3852076182602648 4202264926475616 4333585705427979 4952669377631976 5333643945142128 5778114273903972 6303397389713424 6603559170175968 7704152365205296 8667171410855958 9905338755263952 10667287890284256 11556228547807944 12606794779426848 15408304730410592 17334342821711916 19810677510527904 23112457095615888 34668685643423832 46224914191231776 69337371286847664 138674742573695328
- Sum of all divisors σ(n): 553462647384838464
- Sum of proper divisors (its aliquot sum) s(n): 414787904811143136
- 138674742573695328 is an abundant number, because the sum of its proper divisors (414787904811143136) is greater than itself. Its abundance is 276113162237447808
Bases of 138674742573695328
- Binary: 1111011001010101111110001100100100110110010000001011000002
- Hexadecimal: 0x1ECABF1926C8160
- Base-36: 11XG3D9GMMW0
Squares and roots of 138674742573695328
- 138674742573695328 squared (1386747425736953282) is 19230684227880667523137081369027584
- 138674742573695328 cubed (1386747425736953283) is 2666810184817374471337240089027982487050296843927552
-
The
square root of 138674742573695328 is 372390577.9872730991 -
The
cube root of 138674742573695328 is 517605.7864579757
Scales and comparisons
How big is 138674742573695328?- 138,674,742,573,695,328 seconds is equal to 4,409,427,864 years, 36 weeks, 3 days, 2 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,674,742,573,695,328 would take you about thirteen billion, two hundred twenty-eight million, two hundred eighty-three thousand, five hundred ninety-four 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 138674742573695328 cubic inches would be around 43133.8 feet tall.
Recreational maths with 138674742573695328
- 138674742573695328 backwards is 823596375247476831
- The number of decimal digits it has is: 18
- The sum of 138674742573695328's digits is 90
- More coming soon!
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The information we have on file for 138674742573695328 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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