138772148680704
138,772,148,680,704 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138772148680704 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138772148680704 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 138772148680704:
211 × 3 × 7 × 112 × 31 × 37 × 67 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 31 × 37 × 67 × 347)See below for interesting mathematical facts about the number 138772148680704 from the Numbermatics database.
Names of 138772148680704
- Cardinal: 138772148680704 can be written as One hundred thirty-eight trillion, seven hundred seventy-two billion, one hundred forty-eight million, six hundred eighty thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38772148680704 × 1014
Factors of 138772148680704
Divisors of 138772148680704
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 37 42 44 48 56 62 64 66 67 74 77 84 88 93 96 111 112 121 124 128 132 134 148 154 168 176 186 192 201 217 222 224 231 242 248 256 259 264 268 296 308 336 341 347 352 363 372 384 402 407 434 444 448 462 469 484 496 512 518 528 536 592 616 651 672 682 694 704 726 737 744 768 777 804 814 847 868 888 896 924 938 968 992 1023 1024 1036 1041 1056 1072 1147 1184 1221 1232 1302 1344 1364 1388 1407 1408 1452 1474 1488 1536 1554 1608 1628 1694 1736 1776 1792 1848 1876 1936 1984 2046 2048 2072 2077 2082 2112 2144 2211 2294 2368 2387 2429 2442 2464 2479 2541 2604 2688 2728 2776 2814 2816 2849 2904 2948 2976 3072 3108 3216 3256 3388 3441 3472 3552 3584 3696 3751 3752 3817 3872 3968 4092 4144 4154 4164 4224 4288 4422 4477 4588 4736 4774 4858 4884 4928 4958 5082 5159 5208 5376 5456 5552 5628 5632 5698 5808 5896 5952 6144 6216 6231 6432 6512 6776 6882 6944 7104 7161 7168 7287 7392 7437 7502 7504 7634 7744 7936 8029 8107 8184 8288 8308 8328 8448 8547 8576 8844 8954 9176 9472 9548 9716 9768 9856 9916 10164 10318 10416 10752 10757 10912 11104 11253 11256 11264 11396 11451 11616 11792 11904 12432 12462 12617 12839 12864 13024 13431 13552 13764 13888 14208 14322 14336 14539 14574 14784 14874 15004 15008 15268 15477 15488 15872 16058 16214 16368 16576 16616 16656 16896 17094 17152 17353 17688 17908 18352 18944 19096 19432 19536 19712 19832 20328 20636 20832 21504 21514 21824 22208 22506 22512 22528 22792 22847 22902 23232 23249 23584 23808 24087 24321 24864 24924 25234 25678 25728 26048 26257 26719 26862 27104 27269 27528 27776 28416 28644 29078 29148 29568 29748 30008 30016 30536 30954 30976 31339 31744 32116 32271 32428 32736 33152 33232 33312 33792 34188 34304 34706 35376 35816 36704 37851 37888 38192 38517 38864 39072 39424 39664 40656 41272 41664 41987 43008 43028 43617 43648 44416 45012 45024 45584 45694 45804 46464 46498 47168 47616 48174 48642 49728 49848 50468 51356 51456 52059 52096 52514 53438 53724 54208 54538 55056 55552 56749 56832 57288 58156 58296 59136 59496 60016 60032 61072 61908 61952 62678 63488 64232 64542 64856 65472 66304 66464 66624 67584 68376 68541 68608 69412 69747 70752 71632 73408 75299 75702 75776 76384 76849 77034 77728 78144 78771 78848 79328 80157 81312 81807 82544 83328 83974 86056 87234 87296 88319 88832 89873 90024 90048 91168 91388 91608 92928 92996 94017 94336 95232 96348 97284 99456 99696 100936 102712 102912 104118 104192 105028 106876 107448 108416 109076 110112 111104 113498 113664 114576 116312 116592 118272 118327 118992 120032 120064 122144 123816 123904 125356 125961 128464 129084 129712 130944 132608 132928 133248 136752 137082 137216 138787 138824 139494 141229 141504 143264 146816 150598 151404 152768 153698 154068 155456 156288 157542 157696 158656 159929 160314 162624 162743 163614 165088 166656 167948 170247 172112 174468 174592 176638 177664 179746 180048 180096 182336 182776 183216 185856 185992 188034 188672 190464 190883 192696 194568 198912 199392 201872 205424 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525652078336 535799801856 542078705784 559565115648 573438630912 600745232384 619518520896 625099768832 639502989312 690408699904 722771607712 746086820864 788478117504 826024694528 901117848576 937649653248 1035613049856 1051304156672 1084157411568 1119130231296 1146877261824 1239037041792 1250199537664 1445543215424 1492173641728 1576956235008 1652049389056 1802235697152 1875299306496 2071226099712 2102608313344 2168314823136 2238260462592 2478074083584 2891086430848 3153912470016 3304098778112 3750598612992 4205216626688 4336629646272 4476520925184 4956148167168 5782172861696 6307824940032 6608197556224 8673259292544 9912296334336 11564345723392 12615649880064 17346518585088 19824592668672 23128691446784 34693037170176 46257382893568 69386074340352 138772148680704
- Sum of all divisors σ(n): 501507297607680
- Sum of proper divisors (its aliquot sum) s(n): 362735148926976
- 138772148680704 is an abundant number, because the sum of its proper divisors (362735148926976) is greater than itself. Its abundance is 223963000246272
Bases of 138772148680704
- Binary: 111111000110110011010001010000001111000000000002
- Hexadecimal: 0x7E3668A07800
- Base-36: 1D6V1MC0LC
Squares and roots of 138772148680704
- 138772148680704 squared (1387721486807042) is 19257709249459416927741935616
- 138772148680704 cubed (1387721486807043) is 2672433691215750842834332135491669709553664
-
The
square root of 138772148680704 is 11780159.1110096641 -
The
cube root of 138772148680704 is 51772.6948066423
Scales and comparisons
How big is 138772148680704?- 138,772,148,680,704 seconds is equal to 4,412,525 years, 4 weeks, 5 hours, 58 minutes, 24 seconds.
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To count from 1 to 138,772,148,680,704 would take you about eleven million, thirty-one thousand, three hundred twelve 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 138772148680704 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138772148680704
- 138772148680704 backwards is 407086841277831
- 138772148680704 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138772148680704's digits is 66
- More coming soon!
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The information we have on file for 138772148680704 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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