138112661763648
138,112,661,763,648 is an even composite number composed of six prime numbers multiplied together.
138112661763648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138112661763648:
26 × 33 × 11 × 132 × 792 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 79 × 79 × 83 × 83)See below for interesting mathematical facts about the number 138112661763648 from the Numbermatics database.
Names of 138112661763648
- Cardinal: 138112661763648 can be written as One hundred thirty-eight trillion, one hundred twelve billion, six hundred sixty-one million, seven hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38112661763648 × 1014
Factors of 138112661763648
Divisors of 138112661763648
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 79 83 88 96 99 104 108 117 132 143 144 156 158 166 169 176 192 198 208 216 234 237 249 264 286 288 297 312 316 332 338 351 352 396 416 429 432 468 474 498 507 528 572 576 594 624 632 664 676 702 704 711 747 792 832 858 864 869 913 936 948 996 1014 1027 1056 1079 1144 1188 1248 1264 1287 1328 1352 1404 1422 1494 1521 1584 1716 1728 1738 1826 1859 1872 1896 1992 2028 2054 2112 2133 2158 2241 2288 2376 2496 2528 2574 2607 2656 2704 2739 2808 2844 2988 3042 3081 3168 3237 3432 3476 3652 3718 3744 3792 3861 3984 4056 4108 4266 4316 4482 4563 4576 4752 5056 5148 5214 5312 5408 5478 5577 5616 5688 5976 6084 6162 6241 6336 6474 6557 6864 6889 6952 7304 7436 7488 7584 7722 7821 7968 8112 8216 8217 8532 8632 8964 9126 9152 9243 9504 9711 10296 10428 10816 10956 11154 11232 11297 11376 11869 11952 12168 12324 12482 12948 13114 13351 13728 13778 13904 14027 14608 14872 15168 15444 15642 15936 16224 16432 16434 16731 17064 17264 17928 18252 18486 18723 19008 19422 19671 20592 20667 20856 21912 22308 22464 22594 22752 23463 23738 23904 24336 24648 24651 24964 25896 26228 26702 27456 27556 27729 27808 28054 29133 29216 29744 30888 31284 32448 32864 32868 33462 33891 34128 34528 35607 35856 36504 36972 37446 38844 39342 40053 41184 41334 41712 42081 43824 44616 45188 45504 46926 47476 47808 48672 49296 49302 49928 50193 51792 52456 53404 55112 55458 55616 56108 56169 58266 58432 59013 59488 61776 62001 62568 65728 65736 66924 67782 68256 68651 69056 71214 71712 72127 73008 73944 74892 75779 77688 78684 80106 81133 82368 82668 83424 84162 85241 87648 89232 89557 90376 93852 94952 97344 98592 98604 99856 100386 101673 103584 104912 106808 106821 110224 110916 112216 112338 116532 118026 118976 120159 123552 124002 125136 126243 131472 133848 135564 136512 137302 142428 143424 144254 146016 146861 147888 149784 151558 154297 155376 157368 160212 162266 165336 166848 168324 168507 170482 175296 177039 178464 179114 180752 186003 187704 189904 197184 197208 199712 200772 203346 205953 207168 209824 213616 213642 216381 220448 221832 224432 224676 227337 233064 236052 240318 243399 247104 248004 250272 252486 255723 262944 267696 268671 271128 274604 284856 288508 292032 293722 295776 299568 303116 305019 308594 310752 314736 320424 320463 324532 330672 336648 337014 340964 354078 356928 358228 360477 361504 372006 375408 378729 379808 394416 399424 401544 406692 411906 419648 427232 427284 432762 440583 440896 443664 448864 449352 454674 462891 466128 472104 480636 486798 496008 500544 504972 511446 518003 525888 535392 537342 542256 544231 549208 569712 577016 587444 591552 599136 606232 610038 617188 617859 621504 629472 640848 640926 649064 649143 661344 673296 674028 681928 682011 708156 716456 720954 723008 730197 744012 750816 757458 759616 767169 788832 803088 806013 813384 823812 854464 854568 865524 881166 887328 892463 897728 898704 909348 925782 932256 937651 944208 961272 973596 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29064112324 30181962798 30267951296 30814962464 32000153328 32375213728 33620414256 34051445208 34666832772 35771215168 36422115444 36889065642 37147031136 37818363024 39733216848 40242617064 42666871104 43596168486 44827219008 45401926944 46222443696 48562820592 49185420856 50424484032 51077167812 52000249158 52977622464 53656822752 54633173166 55333598463 58128224648 60363925596 61629924928 64000306656 64750427456 65394252729 67240828512 68102890416 69333665544 72844230888 73778131284 74294062272 75636726048 79466433696 79926308891 80485234128 87192336972 90803853888 92444887392 97125641184 98370841712 102154335624 104000498316 107313645504 109266346332 110667196926 116256449296 120727851192 128000613312 130788505458 134481657024 136205780832 138667331088 145688461776 147556262568 151273452096 158932867392 159852617782 160970468256 166000795389 174384673944 184889774784 194251282368 196182758187 196741683424 204308671248 208000996632 218532692664 221334393852 232512898592 239778926673 241455702384 261577010916 272411561664 277334662176 291376923552 295112525136 319705235564 321940936512 332001590778 348769347888 392365516374 393483366848 408617342496 416001993264 437065385328 442668787704 465025797184 479557853346 482911404768 523154021832 554669324352 582753847104 590225050272 639410471128 664003181556 697538695776 719336780019 784731032748 817234684992 832003986528 874130770656 885337575408 959115706692 965822809536 1046308043664 1180450100544 1278820942256 1328006363112 1395077391552 1438673560038 1569462065496 1664007973056 1748261541312 1770675150816 1918231413384 2092616087328 2158010340057 2557641884512 2656012726224 2877347120076 3138924130992 3541350301632 3836462826768 4185232174656 4316020680114 5115283769024 5312025452448 5754694240152 6277848261984 7672925653536 8632041360228 10624050904896 11509388480304 12555696523968 15345851307072 17264082720456 23018776960608 34528165440912 46037553921216 69056330881824 138112661763648
- Sum of all divisors σ(n): 491701466521440
- Sum of proper divisors (its aliquot sum) s(n): 353588804757792
- 138112661763648 is an abundant number, because the sum of its proper divisors (353588804757792) is greater than itself. Its abundance is 215476142994144
Bases of 138112661763648
- Binary: 111110110011100110111000010010010110110010000002
- Hexadecimal: 0x7D9CDC24B640
- Base-36: 1CYG2WUMO0
Squares and roots of 138112661763648
- 138112661763648 squared (1381126617636482) is 19075107339439836277814267904
- 138112661763648 cubed (1381126617636483) is 2634513848077333607281815897868642600353792
-
The
square root of 138112661763648 is 11752134.3492851545 -
The
cube root of 138112661763648 is 51690.5514153623
Scales and comparisons
How big is 138112661763648?- 138,112,661,763,648 seconds is equal to 4,391,555 years, 22 weeks, 3 days, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,112,661,763,648 would take you about ten million, nine hundred seventy-eight thousand, eight hundred eighty-eight 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 138112661763648 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138112661763648
- 138112661763648 backwards is 846367166211831
- The number of decimal digits it has is: 15
- The sum of 138112661763648's digits is 63
- More coming soon!
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"Number 138112661763648 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138112661763648 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138112661763648/
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The information we have on file for 138112661763648 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!
Keywords: Divisors of 138112661763648, math, Factors of 138112661763648, curriculum, school, college, exams, university, Prime factorization of 138112661763648, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twelve billion, six hundred sixty-one million, seven hundred sixty-three thousand, six hundred forty-eight.