138763749556224
138,763,749,556,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 138763749556224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138763749556224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138763749556224:
226 × 33 × 13 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 43 × 137)See below for interesting mathematical facts about the number 138763749556224 from the Numbermatics database.
Names of 138763749556224
- Cardinal: 138763749556224 can be written as One hundred thirty-eight trillion, seven hundred sixty-three billion, seven hundred forty-nine million, five hundred fifty-six thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38763749556224 × 1014
Factors of 138763749556224
Divisors of 138763749556224
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 43 48 52 54 64 72 78 86 96 104 108 117 128 129 137 144 156 172 192 208 216 234 256 258 274 288 312 344 351 384 387 411 416 432 468 512 516 548 559 576 624 688 702 768 774 822 832 864 936 1024 1032 1096 1118 1152 1161 1233 1248 1376 1404 1536 1548 1644 1664 1677 1728 1781 1872 2048 2064 2192 2236 2304 2322 2466 2496 2752 2808 3072 3096 3288 3328 3354 3456 3562 3699 3744 4096 4128 4384 4472 4608 4644 4932 4992 5031 5343 5504 5616 5891 6144 6192 6576 6656 6708 6912 7124 7398 7488 8192 8256 8768 8944 9216 9288 9864 9984 10062 10686 11008 11232 11782 12288 12384 13152 13312 13416 13824 14248 14796 14976 15093 16029 16384 16512 17536 17673 17888 18432 18576 19728 19968 20124 21372 22016 22464 23564 24576 24768 26304 26624 26832 27648 28496 29592 29952 30186 32058 32768 33024 35072 35346 35776 36864 37152 39456 39936 40248 42744 44032 44928 47128 48087 49152 49536 52608 53019 53248 53664 55296 56992 59184 59904 60372 64116 65536 66048 70144 70692 71552 73728 74304 76583 78912 79872 80496 85488 88064 89856 94256 96174 98304 99072 105216 106038 106496 107328 110592 113984 118368 119808 120744 128232 131072 132096 140288 141384 143104 147456 148608 153166 157824 159057 159744 160992 170976 176128 179712 188512 192348 196608 198144 210432 212076 212992 214656 221184 227968 229749 236736 239616 241488 256464 262144 264192 280576 282768 286208 294912 297216 306332 315648 318114 319488 321984 341952 352256 359424 377024 384696 393216 396288 420864 424152 425984 429312 442368 455936 459498 473472 479232 482976 512928 524288 528384 561152 565536 572416 589824 594432 612664 631296 636228 638976 643968 683904 689247 704512 718848 754048 769392 786432 792576 841728 848304 851968 858624 884736 911872 918996 946944 958464 965952 1025856 1048576 1056768 1122304 1131072 1144832 1179648 1188864 1225328 1262592 1272456 1277952 1287936 1367808 1378494 1409024 1437696 1508096 1538784 1572864 1585152 1683456 1696608 1703936 1717248 1769472 1823744 1837992 1893888 1916928 1931904 2051712 2067741 2097152 2113536 2244608 2262144 2289664 2359296 2377728 2450656 2525184 2544912 2555904 2575872 2735616 2756988 2818048 2875392 3016192 3077568 3145728 3170304 3366912 3393216 3407872 3434496 3538944 3647488 3675984 3787776 3833856 3863808 4103424 4135482 4194304 4227072 4489216 4524288 4579328 4718592 4755456 4901312 5050368 5089824 5111808 5151744 5471232 5513976 5636096 5750784 6032384 6155136 6291456 6340608 6733824 6786432 6815744 6868992 7077888 7294976 7351968 7575552 7667712 7727616 8206848 8270964 8388608 8454144 8978432 9048576 9158656 9437184 9510912 9802624 10100736 10179648 10223616 10303488 10942464 11027952 11272192 11501568 12064768 12310272 12582912 12681216 13467648 13572864 13631488 13737984 14155776 14589952 14703936 15151104 15335424 15455232 16413696 16541928 16777216 16908288 17956864 18097152 18317312 18874368 19021824 19605248 20201472 20359296 20447232 20606976 21884928 22055904 22544384 23003136 24129536 24620544 25165824 25362432 26935296 27145728 27262976 27475968 28311552 29179904 29407872 30302208 30670848 30910464 32827392 33083856 33554432 33816576 35913728 36194304 36634624 37748736 38043648 39210496 40402944 40718592 40894464 41213952 43769856 44111808 45088768 46006272 48259072 49241088 50331648 50724864 53870592 54291456 54525952 54951936 56623104 58359808 58815744 60604416 61341696 61820928 65654784 66167712 67108864 67633152 71827456 72388608 73269248 75497472 76087296 78420992 80805888 81437184 81788928 82427904 87539712 88223616 90177536 92012544 96518144 98482176 100663296 101449728 107741184 108582912 109051904 109903872 113246208 116719616 117631488 121208832 122683392 123641856 131309568 132335424 135266304 143654912 144777216 146538496 150994944 152174592 156841984 161611776 162874368 163577856 164855808 175079424 176447232 180355072 184025088 193036288 196964352 201326592 202899456 215482368 217165824 218103808 219807744 226492416 233439232 235262976 242417664 245366784 247283712 262619136 264670848 270532608 287309824 289554432 293076992 301989888 304349184 313683968 323223552 325748736 327155712 329711616 350158848 352894464 360710144 368050176 386072576 393928704 405798912 430964736 434331648 436207616 439615488 452984832 466878464 470525952 484835328 490733568 494567424 525238272 529341696 541065216 574619648 579108864 586153984 603979776 608698368 627367936 646447104 651497472 654311424 659423232 700317696 705788928 721420288 736100352 772145152 787857408 811597824 861929472 868663296 872415232 879230976 905969664 933756928 941051904 969670656 981467136 989134848 1050476544 1058683392 1082130432 1149239296 1158217728 1172307968 1217396736 1254735872 1292894208 1302994944 1308622848 1318846464 1400635392 1411577856 1442840576 1472200704 1544290304 1575714816 1623195648 1723858944 1737326592 1758461952 1811939328 1867513856 1882103808 1939341312 1962934272 1978269696 2100953088 2117366784 2164260864 2298478592 2316435456 2344615936 2434793472 2509471744 2585788416 2605989888 2617245696 2637692928 2801270784 2823155712 2885681152 2944401408 3088580608 3151429632 3246391296 3447717888 3474653184 3516923904 3735027712 3764207616 3878682624 3925868544 3956539392 4201906176 4234733568 4328521728 4596957184 4632870912 4689231872 4869586944 5018943488 5171576832 5211979776 5275385856 5602541568 5646311424 5888802816 6177161216 6302859264 6492782592 6895435776 6949306368 7033847808 7470055424 7528415232 7757365248 7851737088 7913078784 8403812352 8469467136 8657043456 9193914368 9265741824 9378463744 9739173888 10037886976 10343153664 10423959552 10550771712 11205083136 11292622848 11777605632 12354322432 12605718528 12985565184 13790871552 13898612736 14067695616 14940110848 15056830464 15514730496 15826157568 16807624704 16938934272 18531483648 18756927488 19478347776 20075773952 20686307328 20847919104 21101543424 22410166272 22585245696 23555211264 24708644864 25211437056 25971130368 27581743104 27797225472 28135391232 29880221696 30113660928 31029460992 31652315136 33615249408 33877868544 37062967296 37513854976 38956695552 40151547904 41372614656 41695838208 42203086848 44820332544 45170491392 49417289728 50422874112 55594450944 56270782464 59760443392 60227321856 62058921984 63304630272 67230498816 67755737088 74125934592 77913391104 80303095808 82745229312 83391676416 84406173696 89640665088 90340982784 98834579456 100845748224 111188901888 112541564928 119520886784 120454643712 124117843968 126609260544 134460997632 135511474176 148251869184 160606191616 166783352832 168812347392 179281330176 180681965568 197669158912 201691496448 222377803776 240909287424 248235687936 253218521088 268921995264 271022948352 296503738368 321212383232 333566705664 337624694784 358562660352 361363931136 395338317824 403382992896 444755607552 481818574848 506437042176 537843990528 542045896704 593007476736 642424766464 667133411328 722727862272 806765985792 889511215104 963637149696 1012874084352 1075687981056 1084091793408 1186014953472 1284849532928 1334266822656 1445455724544 1613531971584 1779022430208 1927274299392 2168183586816 2569699065856 2668533645312 2890911449088 3227063943168 3558044860416 3854548598784 4336367173632 5139398131712 5337067290624 5781822898176 7709097197568 8672734347264 10674134581248 11563645796352 15418194395136 17345468694528 23127291592704 34690937389056 46254583185408 69381874778112 138763749556224
- Sum of all divisors σ(n): 456383221472640
- Sum of proper divisors (its aliquot sum) s(n): 317619471916416
- 138763749556224 is an abundant number, because the sum of its proper divisors (317619471916416) is greater than itself. Its abundance is 178855722360192
Bases of 138763749556224
- Binary: 111111000110100011101000000000000000000000000002
- Hexadecimal: 0x7E3474000000
- Base-36: 1D6R6PPMO0
Squares and roots of 138763749556224
- 138763749556224 squared (1387637495562242) is 19255378190902456356937138176
- 138763749556224 cubed (1387637495562243) is 2671948476892766016254007335313784568807424
-
The
square root of 138763749556224 is 11779802.6110892027 -
The
cube root of 138763749556224 is 51771.6502788903
Scales and comparisons
How big is 138763749556224?- 138,763,749,556,224 seconds is equal to 4,412,258 years, 4 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,763,749,556,224 would take you about eleven million, thirty thousand, six hundred forty-five 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 138763749556224 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138763749556224
- 138763749556224 backwards is 422655947367831
- 138763749556224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138763749556224's digits is 72
- More coming soon!
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The information we have on file for 138763749556224 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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