138996921176064
138,996,921,176,064 is an even composite number composed of four prime numbers multiplied together.
What does the number 138996921176064 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1092 divisors.
138996921176064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and ninety-two divisors.
Prime factorization of 138996921176064:
212 × 35 × 76 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 1187)See below for interesting mathematical facts about the number 138996921176064 from the Numbermatics database.
Names of 138996921176064
- Cardinal: 138996921176064 can be written as One hundred thirty-eight trillion, nine hundred ninety-six billion, nine hundred twenty-one million, one hundred seventy-six thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38996921176064 × 1014
Factors of 138996921176064
Divisors of 138996921176064
- Number of divisors d(n): 1092
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 343 378 384 392 432 441 448 486 504 512 567 576 588 648 672 686 756 768 784 864 882 896 972 1008 1024 1029 1134 1152 1176 1187 1296 1323 1344 1372 1512 1536 1568 1701 1728 1764 1792 1944 2016 2048 2058 2268 2304 2352 2374 2401 2592 2646 2688 2744 3024 3072 3087 3136 3402 3456 3528 3561 3584 3888 3969 4032 4096 4116 4536 4608 4704 4748 4802 5184 5292 5376 5488 6048 6144 6174 6272 6804 6912 7056 7122 7168 7203 7776 7938 8064 8232 8309 9072 9216 9261 9408 9496 9604 10368 10584 10683 10752 10976 11907 12096 12288 12348 12544 13608 13824 14112 14244 14336 14406 15552 15876 16128 16464 16618 16807 18144 18432 18522 18816 18992 19208 20736 21168 21366 21504 21609 21952 23814 24192 24696 24927 25088 27216 27648 27783 28224 28488 28672 28812 31104 31752 32049 32256 32928 33236 33614 36288 36864 37044 37632 37984 38416 41472 42336 42732 43008 43218 43904 47628 48384 49392 49854 50176 50421 54432 55296 55566 56448 56976 57624 58163 62208 63504 64098 64512 64827 65856 66472 67228 72576 74088 74781 75264 75968 76832 82944 83349 84672 85464 86016 86436 87808 95256 96147 96768 98784 99708 100352 100842 108864 110592 111132 112896 113952 115248 116326 117649 124416 127008 128196 129024 129654 131712 132944 134456 145152 148176 149562 150528 151263 151936 153664 165888 166698 169344 170928 172872 174489 175616 190512 192294 193536 194481 197568 199416 200704 201684 217728 222264 224343 225792 227904 230496 232652 235298 248832 254016 256392 258048 259308 263424 265888 268912 288441 290304 296352 299124 301056 302526 303872 307328 331776 333396 338688 341856 345744 348978 351232 352947 381024 384588 387072 388962 395136 398832 403368 407141 435456 444528 448686 451584 453789 455808 460992 465304 470596 497664 508032 512784 518616 523467 526848 531776 537824 576882 580608 583443 592704 598248 602112 605052 607744 614656 666792 673029 677376 683712 691488 697956 702464 705894 762048 769176 774144 777924 790272 797664 806736 814282 870912 889056 897372 903168 907578 911616 921984 930608 941192 995328 1016064 1025568 1037232 1046934 1053696 1058841 1063552 1075648 1153764 1161216 1166886 1185408 1196496 1210104 1215488 1221423 1229312 1333584 1346058 1354752 1361367 1367424 1382976 1395912 1404928 1411788 1524096 1538352 1555848 1570401 1580544 1595328 1613472 1628564 1741824 1778112 1794744 1806336 1815156 1823232 1843968 1861216 1882384 2019087 2032128 2051136 2074464 2093868 2107392 2117682 2127104 2151296 2307528 2322432 2333772 2370816 2392992 2420208 2430976 2442846 2458624 2667168 2692116 2709504 2722734 2734848 2765952 2791824 2823576 2849987 3048192 3076704 3111696 3140802 3161088 3176523 3190656 3226944 3257128 3483648 3556224 3589488 3630312 3646464 3664269 3687936 3722432 3764768 4038174 4064256 4084101 4102272 4148928 4187736 4214784 4235364 4254208 4302592 4615056 4667544 4711203 4741632 4785984 4840416 4861952 4885692 4917248 5334336 5384232 5419008 5445468 5469696 5531904 5583648 5647152 5699974 6096384 6153408 6223392 6281604 6322176 6353046 6381312 6453888 6514256 6967296 7112448 7178976 7260624 7292928 7328538 7375872 7444864 7529536 8076348 8128512 8168202 8204544 8297856 8375472 8470728 8508416 8549961 8605184 9230112 9335088 9422406 9483264 9529569 9571968 9680832 9771384 9834496 10668672 10768464 10890936 10939392 10992807 11063808 11167296 11294304 11399948 12192768 12306816 12446784 12563208 12644352 12706092 12762624 12907776 13028512 14133609 14224896 14357952 14521248 14585856 14657076 14751744 14889728 15059072 16152696 16257024 16336404 16409088 16595712 16750944 16941456 17016832 17099922 17210368 18460224 18670176 18844812 18966528 19059138 19143936 19361664 19542768 19949909 21337344 21536928 21781872 21878784 21985614 22127616 22334592 22588608 22799896 24385536 24613632 24893568 25126416 25412184 25525248 25649883 25815552 26057024 28267218 28449792 28588707 28715904 29042496 29314152 29503488 29779456 30118144 32305392 32672808 32818176 32978421 33191424 33501888 33882912 34033664 34199844 34420736 36920448 37340352 37689624 37933056 38118276 38287872 38723328 39085536 39899818 42674688 43073856 43563744 43757568 43971228 44255232 44669184 45177216 45599792 48771072 49227264 49787136 50252832 50824368 51050496 51299766 51631104 52114048 56534436 56899584 57177414 57431808 58084992 58628304 59558912 59849727 60236288 64610784 65345616 65636352 65956842 66382848 67003776 67765824 68399688 68841472 73840896 74680704 75379248 76236552 76575744 76949649 77446656 78171072 79799636 85349376 86147712 87127488 87942456 88510464 89338368 90354432 91199584 98454528 98935263 99574272 100505664 101648736 102100992 102599532 103262208 104228096 113068872 113799168 114354828 114863616 116169984 117256608 119117824 119699454 120472576 129221568 130691232 131272704 131913684 132765696 134007552 135531648 136799376 139649363 147681792 149361408 150758496 152473104 153151488 153899298 154893312 156342144 159599272 170698752 172295424 174254976 175884912 178676736 179549181 180708864 182399168 196909056 197870526 199148544 201011328 203297472 205199064 206524416 208456192 226137744 228709656 229727232 230848947 232339968 234513216 238235648 239398908 240945152 258443136 261382464 263827368 265531392 268015104 271063296 273598752 279298726 295363584 298722816 301516992 304946208 306302976 307798596 309786624 312684288 319198544 341397504 344590848 348509952 351769824 357353472 359098362 361417728 364798336 393818112 395741052 398297088 402022656 406594944 410398128 416912384 418948089 452275488 457419312 459454464 461697894 464679936 469026432 478797816 481890304 516886272 522764928 527654736 536030208 538647543 542126592 547197504 558597452 590727168 597445632 603033984 609892416 615597192 619573248 625368576 638397088 689181696 692546841 697019904 703539648 714706944 718196724 722835456 729596672 791482104 796594176 804045312 813189888 820796256 833824768 837896178 904550976 914838624 918908928 923395788 929359872 938052864 957595632 1033772544 1045529856 1055309472 1072060416 1077295086 1084253184 1094395008 1117194904 1181454336 1194891264 1206067968 1219784832 1231194384 1250737152 1256844267 1276794176 1378363392 1385093682 1394039808 1407079296 1436393448 1445670912 1459193344 1582964208 1608090624 1615942629 1626379776 1641592512 1667649536 1675792356 1809101952 1829677248 1846791576 1858719744 1876105728 1915191264 2067545088 2091059712 2110618944 2144120832 2154590172 2168506368 2188790016 2234389808 2389782528 2412135936 2439569664 2462388768 2501474304 2513688534 2553588352 2756726784 2770187364 2788079616 2814158592 2872786896 2918386688 3165928416 3216181248 3231885258 3252759552 3283185024 3351584712 3618203904 3659354496 3693583152 3752211456 3770532801 3830382528 4135090176 4182119424 4221237888 4309180344 4337012736 4377580032 4468779616 4824271872 4847827887 4879139328 4924777536 5002948608 5027377068 5107176704 5540374728 5576159232 5628317184 5745573792 5836773376 6331856832 6432362496 6463770516 6505519104 6566370048 6703169424 7236407808 7318708992 7387166304 7504422912 7541065602 7660765056 8270180352 8364238848 8442475776 8618360688 8755160064 8937559232 9648543744 9695655774 9758278656 9849555072 10054754136 10214353408 11080749456 11256634368 11311598403 11491147584 11673546752 12663713664 12927541032 13011038208 13132740096 13406338848 14472815616 14637417984 14774332608 15008845824 15082131204 15321530112 16728477696 16884951552 17236721376 17510320128 17875118464 19297087488 19391311548 19516557312 19699110144 20109508272 20428706816 22161498912 22513268736 22623196806 22982295168 25327427328 25855082064 26265480192 26812677696 28945631232 29274835968 29548665216 30164262408 30643060224 33769903104 33934795209 34473442752 35020640256 35750236928 38782623096 39033114624 39398220288 40219016544 40857413632 44322997824 45026537472 45246393612 45964590336 50654854656 51710164128 52530960384 53625355392 57891262464 58549671936 59097330432 60328524816 61286120448 67539806208 67869590418 68946885504 71500473856 77565246192 78796440576 80438033088 81714827264 88645995648 90492787224 91929180672 101309709312 103420328256 105061920768 107250710784 117099343872 118194660864 120657049632 122572240896 135079612416 135739180836 137893771008 143000947712 155130492384 157592881152 160876066176 177291991296 180985574448 183858361344 202619418624 206840656512 214501421568 236389321728 241314099264 245144481792 271478361672 275787542016 286001895424 310260984768 315185762304 321752132352 354583982592 361971148896 367716722688 405238837248 413681313024 429002843136 472778643456 482628198528 542956723344 551575084032 572003790848 620521969536 643504264704 709167965184 723942297792 735433445376 827362626048 858005686272 945557286912 965256397056 1085913446688 1103150168064 1241043939072 1287008529408 1418335930368 1447884595584 1654725252096 1716011372544 1930512794112 2171826893376 2206300336128 2482087878144 2574017058816 2836671860736 2895769191168 3309450504192 3861025588224 4343653786752 4964175756288 5148034117632 5791538382336 6618901008384 7722051176448 8687307573504 9928351512576 11583076764672 15444102352896 17374615147008 19856703025152 23166153529344 34749230294016 46332307058688 69498460588032 138996921176064
- Sum of all divisors σ(n): 486171227125584
- Sum of proper divisors (its aliquot sum) s(n): 347174305949520
- 138996921176064 is an abundant number, because the sum of its proper divisors (347174305949520) is greater than itself. Its abundance is 208177384773456
Bases of 138996921176064
- Binary: 111111001101010101111100001110010010000000000002
- Hexadecimal: 0x7E6ABE1C9000
- Base-36: 1D9QAY2O00
Squares and roots of 138996921176064
- 138996921176064 squared (1389969211760642) is 19320144096424948828886532096
- 138996921176064 cubed (1389969211760643) is 2685440546080976844990746010320754802950144
-
The
square root of 138996921176064 is 11789695.5506096085 -
The
cube root of 138996921176064 is 51800.6322100585
Scales and comparisons
How big is 138996921176064?- 138,996,921,176,064 seconds is equal to 4,419,672 years, 7 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,996,921,176,064 would take you about eleven million, forty-nine thousand, one hundred eighty 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 138996921176064 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138996921176064
- 138996921176064 backwards is 460671129699831
- 138996921176064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138996921176064's digits is 72
- More coming soon!
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The information we have on file for 138996921176064 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 138996921176064, math, Factors of 138996921176064, curriculum, school, college, exams, university, Prime factorization of 138996921176064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred ninety-six billion, nine hundred twenty-one million, one hundred seventy-six thousand and sixty-four.