138680125413312
138,680,125,413,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138680125413312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138680125413312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138680125413312:
26 × 3 × 72 × 232 × 131 × 347 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 23 × 23 × 131 × 347 × 613)See below for interesting mathematical facts about the number 138680125413312 from the Numbermatics database.
Names of 138680125413312
- Cardinal: 138680125413312 can be written as One hundred thirty-eight trillion, six hundred eighty billion, one hundred twenty-five million, four hundred thirteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38680125413312 × 1014
Factors of 138680125413312
Divisors of 138680125413312
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 64 69 84 92 96 98 112 131 138 147 161 168 184 192 196 224 262 276 294 322 336 347 368 392 393 448 483 524 529 552 588 613 644 672 694 736 784 786 917 966 1041 1048 1058 1104 1127 1176 1226 1288 1344 1388 1472 1568 1572 1587 1834 1839 1932 2082 2096 2116 2208 2254 2352 2429 2452 2576 2751 2776 3013 3136 3144 3174 3381 3668 3678 3703 3864 4164 4192 4232 4291 4416 4508 4704 4858 4904 5152 5502 5552 6026 6288 6348 6419 6762 7287 7336 7356 7406 7728 7981 8328 8384 8464 8582 9016 9039 9408 9716 9808 10304 11004 11104 11109 12052 12576 12696 12838 12873 13524 14099 14574 14672 14712 14812 15456 15962 16656 16928 17003 17164 18032 18078 19257 19432 19616 21091 22008 22208 22218 23943 24104 25152 25392 25676 25746 25921 27048 28198 29148 29344 29424 29624 30037 30912 31924 33312 33856 34006 34328 36064 36156 38514 38864 39232 42182 42297 44016 44436 45457 47886 48208 50784 51009 51352 51492 51842 54096 55867 56396 58296 58688 58848 59248 60074 63273 63848 66624 68012 68656 69299 72128 72312 77028 77728 77763 80303 84364 84594 88032 88872 90111 90914 95772 96416 98693 101568 102018 102704 102984 103684 108192 111734 112792 116592 117696 118496 120148 126546 127696 136024 136371 137312 138598 144624 147637 154056 155456 155526 160606 167601 168728 169188 176064 177744 180222 181828 183563 191544 192832 197386 204036 205408 205968 207368 207897 212711 216384 223468 225584 233184 236992 240296 240909 253092 255392 272048 272742 274624 277196 289248 295274 296079 308112 311052 318199 321212 324277 335202 337456 338376 355488 360444 363656 367126 383088 391069 394772 408072 410816 411936 414736 415794 425422 442911 446936 451168 466368 480592 481818 485093 506184 510784 544096 545484 550689 554392 562121 578496 590548 592158 616224 622104 636398 638133 642424 648554 670404 674912 676752 690851 710976 720888 727312 734252 766176 782138 789544 816144 823872 829472 831588 850844 885822 893872 902336 954597 961184 963636 970186 972831 1012368 1045511 1088192 1090968 1101378 1108784 1124242 1173207 1181096 1184316 1232448 1244208 1272796 1276266 1284848 1284941 1297108 1340808 1349824 1353504 1381702 1441776 1454624 1455279 1468504 1488977 1532352 1564276 1579088 1632288 1658944 1663176 1686363 1701688 1771644 1787744 1846969 1909194 1922368 1927272 1940372 1945662 2024736 2072553 2091022 2181936 2202756 2217568 2227393 2248484 2269939 2346414 2362192 2368632 2488416 2545592 2552532 2569696 2569882 2594216 2681616 2707008 2763404 2883552 2909248 2910558 2937008 2977954 3128552 3136533 3158176 3264576 3326352 3372726 3395651 3403376 3543288 3575488 3693938 3818388 3854544 3854823 3880744 3891324 3934847 4049472 4145106 4182044 4363872 4405512 4435136 4454786 4466931 4496968 4539878 4692828 4724384 4737264 4892353 4976832 5091184 5105064 5139392 5139764 5188432 5363232 5526808 5540907 5767104 5821116 5874016 5955908 6257104 6273066 6316352 6652704 6682179 6745452 6791302 6806752 6809817 7086576 7318577 7387876 7636776 7709088 7709646 7761488 7782648 7869694 8290212 8364088 8727744 8811024 8909572 8933862 8993936 8994587 9079756 9385656 9448768 9474528 9784706 10182368 10186953 10210128 10279528 10376864 10422839 10726464 11053616 11081814 11642232 11748032 11804541 11911816 12514208 12546132 12928783 13305408 13364358 13490904 13582604 13613504 13619634 14173152 14637154 14677059 14775752 15273552 15418176 15419292 15522976 15565296 15739388 15889573 16580424 16728176 17622048 17819144 17867724 17987872 17989174 18159512 18771312 18949056 19569412 20364736 20373906 20420256 20559056 20753728 20845678 21955731 22107232 22163628 23284464 23609082 23823632 24046753 25028416 25092264 25857566 26728716 26981808 26983761 27165208 27239268 27865141 28346304 29274308 29354118 29551504 30547104 30838584 31045952 31130592 31268517 31478776 31779146 33160848 33456352 34246471 35244096 35638288 35735448 35975744 35978348 36319024 37542624 38786349 39138824 40747812 40840512 41118112 41691356 42480287 43911462 44214464 44327256 46568928 47218164 47647264 47668719 48093506 50184528 51230039 51715132 53457432 53963616 53967522 54330416 54478536 55730282 58548616 58708236 59103008 61094208 61677168 62261184 62537034 62957552 63558292 66321696 66912704 68492942 71276576 71470896 71956696 72140259 72638048 75085248 77572698 78277648 81495624 82236224 83382712 83595423 84960574 87822924 88654512 90501481 93137856 94436328 95294528 95337438 96187012 100369056 102460078 102739413 103430264 106914864 107927232 107935044 108660832 108957072 111460564 112524119 117097232 117416472 118206016 123354336 125074068 125915104 127116584 127440861 132643392 136985884 142553152 142941792 143913392 144280518 145276096 153690117 155145396 156555296 162991248 166765424 167190846 168327271 169921148 175645848 177309024 181002962 188872656 190674876 192374024 195055987 200738112 204920156 205478826 206860528 213829728 215870088 217321664 217914144 222921128 225048238 234194464 234832944 239725297 246708672 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1575337666 1639361248 1643830608 1726960704 1783369024 1784172054 1800385904 1917802376 1922694729 2001185088 2019927252 2039053776 2081534063 2172035544 2191774144 2308488288 2340671844 2356581794 2363006499 2378896072 2459041872 2482326336 2563592972 2675053536 2693236336 2700578856 2718738368 2730783818 2876703564 2896047392 3050798016 3120895792 3150675332 3278722496 3287661216 3534872691 3568344108 3600771808 3835604752 3845389458 4039854504 4078107552 4096175727 4163068126 4344071088 4486287701 4616976576 4681343688 4713163588 4726012998 4757792144 4918083744 5127185944 5350107072 5386472672 5401157712 5461567636 5513681831 5753407128 5792094784 6241791584 6244602189 6301350664 6575322432 7069745382 7136688216 7201543616 7671209504 7690778916 8079709008 8156215104 8192351454 8326136252 8688142176 8972575402 9362687376 9426327176 9452025996 9515584288 9836167488 10254371888 10772945344 10802315424 10923135272 11027363662 11506814256 12483583168 12489204378 12602701328 13458863103 14139490764 14273376432 14740659589 15342419008 15381557832 16159418016 16384702908 16541045493 16652272504 17376284352 17945150804 18725374752 18852654352 18904051992 19031168576 20508743776 21604630848 21846270544 22054727324 23013628512 24978408756 25205402656 26917726206 28278981528 28546752864 29481319178 30763115664 31404013907 32318836032 32769405816 33082090986 33304545008 35890301608 37450749504 37705308704 37808103984 41017487552 43692541088 44109454648 44221978767 46027257024 49956817512 50410805312 53835452412 56557963056 57093505728 58962638356 61526231328 62808027814 65538811632 66164181972 66609090016 71780603216 75410617408 75616207968 87385082176 88218909296 88443957534 94212041721 99913635024 103184617123 107670904824 113115926112 117925276712 123052462656 125616055628 131077623264 132328363944 133218180032 143561206432 151232415936 176437818592 176887915068 188424083442 199827270048 206369234246 215341809648 226231852224 235850553424 251232111256 262155246528 264656727888 287122412864 309553851369 352875637184 353775830136 376848166884 399654540096 412738468492 430683619296 471701106848 502464222512 529313455776 619107702738 707551660272 722292319861 753696333768 825476936984 861367238592 943402213696 1004928445024 1058626911552 1238215405476 1415103320544 1444584639722 1507392667536 1650953873968 2009856890048 2166876959583 2476430810952 2830206641088 2889169279444 3014785335072 3301907747936 4333753919166 4952861621904 5778338558888 6029570670144 6603815495872 8667507838332 9905723243808 11556677117776 17335015676664 19811446487616 23113354235552 34670031353328 46226708471104 69340062706656 138680125413312
- Sum of all divisors σ(n): 451632561190272
- Sum of proper divisors (its aliquot sum) s(n): 312952435776960
- 138680125413312 is an abundant number, because the sum of its proper divisors (312952435776960) is greater than itself. Its abundance is 174272310363648
Bases of 138680125413312
- Binary: 111111000100000111110111001110011010111110000002
- Hexadecimal: 0x7E20FB9CD7C0
- Base-36: 1D5ORQ211C
Squares and roots of 138680125413312
- 138680125413312 squared (1386801254133122) is 19232177184651944818826809344
- 138680125413312 cubed (1386801254133123) is 2667120743938569405510868890136034223587328
-
The
square root of 138680125413312 is 11776252.6048532095 -
The
cube root of 138680125413312 is 51761.2483550831
Scales and comparisons
How big is 138680125413312?- 138,680,125,413,312 seconds is equal to 4,409,599 years, 1 week, 1 day, 3 hours, 15 minutes, 12 seconds.
-
To count from 1 to 138,680,125,413,312 would take you about eleven million, twenty-three thousand, nine hundred ninety-seven 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 138680125413312 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138680125413312
- 138680125413312 backwards is 213314521086831
- 138680125413312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138680125413312's digits is 48
- More coming soon!
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"Number 138680125413312 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 138680125413312 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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