138378569015232
138,378,569,015,232 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138378569015232 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
138378569015232 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138378569015232:
26 × 32 × 7 × 13 × 37 × 41 × 71 × 127 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 37 × 41 × 71 × 127 × 193)See below for interesting mathematical facts about the number 138378569015232 from the Numbermatics database.
Names of 138378569015232
- Cardinal: 138378569015232 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, five hundred sixty-nine million, fifteen thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38378569015232 × 1014
Factors of 138378569015232
Divisors of 138378569015232
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 41 42 48 52 56 63 64 71 72 74 78 82 84 91 96 104 111 112 117 123 126 127 142 144 148 156 164 168 182 192 193 208 213 222 224 234 246 252 254 259 273 284 287 288 296 312 328 333 336 364 369 381 386 416 426 444 448 468 481 492 497 504 508 518 533 546 568 574 576 579 592 624 639 656 666 672 728 738 762 772 777 819 832 852 861 888 889 923 936 962 984 994 1008 1016 1036 1066 1092 1136 1143 1148 1158 1184 1248 1278 1312 1332 1344 1351 1443 1456 1476 1491 1517 1524 1544 1554 1599 1638 1651 1704 1722 1737 1776 1778 1846 1872 1924 1968 1988 2016 2032 2072 2132 2184 2272 2286 2296 2316 2331 2368 2496 2509 2556 2583 2624 2627 2664 2667 2702 2769 2886 2911 2912 2952 2982 3034 3048 3088 3108 3198 3276 3302 3367 3408 3444 3474 3552 3556 3692 3731 3744 3848 3936 3976 4032 4053 4064 4144 4264 4329 4368 4473 4544 4551 4572 4592 4632 4662 4699 4797 4953 5018 5112 5166 5207 5254 5328 5334 5404 5538 5772 5822 5824 5904 5964 6068 6096 6176 6216 6396 6461 6552 6604 6734 6816 6888 6948 7104 7112 7141 7384 7462 7488 7527 7696 7872 7881 7913 7952 8001 8106 8128 8288 8307 8528 8658 8733 8736 8946 9017 9102 9144 9184 9264 9324 9398 9594 9906 10036 10101 10224 10332 10414 10508 10619 10656 10668 10808 11076 11193 11544 11557 11644 11808 11928 12136 12159 12192 12352 12432 12792 12922 13104 13208 13468 13632 13653 13703 13776 13896 14097 14224 14282 14768 14859 14924 15054 15392 15621 15762 15826 15904 16002 16212 16576 16614 17056 17316 17466 17472 17563 17892 18034 18204 18288 18368 18389 18528 18648 18796 19188 19383 19721 19812 20072 20202 20377 20448 20664 20828 21016 21238 21312 21336 21423 21616 22152 22386 22581 23088 23114 23288 23616 23643 23739 23856 24272 24318 24384 24511 24864 25584 25844 26199 26208 26416 26936 27051 27306 27406 27552 27792 28194 28448 28564 29536 29718 29848 30108 30303 30784 31242 31524 31652 31808 31857 32004 32424 32893 33228 33579 34112 34151 34632 34671 34932 35126 35784 36068 36408 36449 36576 36778 37056 37296 37592 37843 38376 38766 39442 39624 40144 40404 40754 40896 41109 41328 41656 42032 42291 42476 42672 42846 43232 44304 44772 45162 46176 46228 46576 46863 47286 47478 47712 48544 48636 49022 49728 49987 51168 51688 52398 52416 52689 52832 53872 54102 54612 54812 55104 55167 55391 55584 56388 56896 57128 58149 59072 59163 59436 59696 60216 60606 61087 61131 62484 63048 63119 63304 63714 64008 64269 64848 65786 66456 67158 67691 68302 69264 69342 69864 70252 71217 71568 72136 72816 72898 73152 73533 73556 74592 75184 75686 76752 77532 78884 79248 80288 80808 81153 81508 82218 82656 83312 84064 84582 84952 85344 85692 86464 88608 89544 90324 92352 92456 92833 93152 93726 94572 94956 95424 95571 95921 97088 97272 98044 98679 99974 102336 102453 102869 103376 104013 104796 105378 105664 107707 107744 108204 109224 109347 109624 110334 110782 111168 112776 113529 114256 116298 117221 118326 118872 119392 120432 121212 122174 122262 123327 124968 126096 126238 126608 127428 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60906060306 63360150648 64905520176 66785023656 68099689476 68640163202 69606926064 70314313524 71922333168 73920175756 74961304992 77828216544 77915860932 79665267136 80359215456 81208080408 83815002432 84480200864 86540693568 89046698208 89623425528 90799585968 91218568896 92809234752 93752418032 95040225972 95896444224 102426772032 102960244803 103887814576 105471470286 108277440544 110880263634 116873791398 119497900704 120538823184 121066114624 121812120612 126720301296 129811040352 133570047312 136199378952 137280326404 139213852128 140628627048 143844666336 147840351512 149922609984 155656433088 155831721864 160718430912 162416160816 166320395451 168960401728 178093396416 179246851056 181599171936 187504836064 190080451944 205920489606 207775629152 210942940572 216554881088 221760527268 233747582796 238995801408 240240571207 241077646368 243624241224 253440602592 259622080704 267140094624 272398757904 274560652808 278427704256 281257254096 287689332672 295680703024 308880734409 311663443728 324832321632 332640790902 358493702112 363198343872 375009672128 380160903888 411840979212 415551258304 421885881144 443521054536 467495165592 480481142414 482155292736 487248482448 506881205184 534280189248 544797515808 549121305616 562514508192 591361406048 617761468818 623326887456 649664643264 665281581804 716987404224 720721713621 760321807776 823681958424 843771762288 887042109072 934990331184 960962284828 974496964896 1089595031616 1098242611232 1125029016384 1182722812096 1235522937636 1246653774912 1330563163608 1441443427242 1520643615552 1647363916848 1687543524576 1774084218144 1869980662368 1921924569656 1948993929792 2162165140863 2196485222464 2471045875272 2661126327216 2882886854484 3294727833696 3375087049152 3548168436288 3739961324736 3843849139312 4324330281726 4942091750544 5322252654432 5765773708968 6589455667392 7687698278624 8648660563452 9884183501088 10644505308864 11531547417936 15375396557248 17297321126904 19768367002176 23063094835872 34594642253808 46126189671744 69189284507616 138378569015232
- Sum of all divisors σ(n): 527645427499008
- Sum of proper divisors (its aliquot sum) s(n): 389266858483776
- 138378569015232 is an abundant number, because the sum of its proper divisors (389266858483776) is greater than itself. Its abundance is 250888289468544
Bases of 138378569015232
- Binary: 111110111011010110001010111001101011111110000002
- Hexadecimal: 0x7DDAC5735FC0
- Base-36: 1D1U8J5V40
Squares and roots of 138378569015232
- 138378569015232 squared (1383785690152322) is 19148628362703325726248013824
- 138378569015232 cubed (1383785690152323) is 2649759791435371092759782949519547602567168
-
The
square root of 138378569015232 is 11763442.0564404533 -
The
cube root of 138378569015232 is 51723.7032898981
Scales and comparisons
How big is 138378569015232?- 138,378,569,015,232 seconds is equal to 4,400,010 years, 24 weeks, 1 hour, 7 minutes, 12 seconds.
-
To count from 1 to 138,378,569,015,232 would take you about eleven million and twenty-six 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 138378569015232 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378569015232
- 138378569015232 backwards is 232510965873831
- 138378569015232 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138378569015232's digits is 63
- More coming soon!
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"Number 138378569015232 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138378569015232 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138378569015232/
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The information we have on file for 138378569015232 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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