138440207476224
138,440,207,476,224 is an even composite number composed of four prime numbers multiplied together.
What does the number 138440207476224 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 420 divisors.
138440207476224 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 138440207476224:
29 × 36 × 232 × 701147
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 701147)See below for interesting mathematical facts about the number 138440207476224 from the Numbermatics database.
Names of 138440207476224
- Cardinal: 138440207476224 can be written as One hundred thirty-eight trillion, four hundred forty billion, two hundred seven million, four hundred seventy-six thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38440207476224 × 1014
Factors of 138440207476224
Divisors of 138440207476224
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 243 256 276 288 324 368 384 414 432 486 512 529 552 576 621 648 729 736 768 828 864 972 1058 1104 1152 1242 1296 1458 1472 1536 1587 1656 1728 1863 1944 2116 2208 2304 2484 2592 2916 2944 3174 3312 3456 3726 3888 4232 4416 4608 4761 4968 5184 5589 5832 5888 6348 6624 6912 7452 7776 8464 8832 9522 9936 10368 11178 11664 11776 12696 13248 13824 14283 14904 15552 16767 16928 17664 19044 19872 20736 22356 23328 25392 26496 28566 29808 31104 33534 33856 35328 38088 39744 41472 42849 44712 46656 50784 52992 57132 59616 62208 67068 67712 76176 79488 85698 89424 93312 101568 105984 114264 119232 124416 128547 134136 135424 152352 158976 171396 178848 186624 203136 228528 238464 257094 268272 270848 304704 317952 342792 357696 373248 385641 406272 457056 476928 514188 536544 609408 685584 701147 715392 771282 812544 914112 953856 1028376 1073088 1218816 1371168 1402294 1430784 1542564 1828224 2056752 2103441 2146176 2437632 2742336 2804588 2861568 3085128 3656448 4113504 4206882 4292352 5484672 5609176 6170256 6310323 7312896 8227008 8413764 8584704 10969344 11218352 12340512 12620646 16126381 16454016 16827528 18930969 21938688 22436704 24681024 25241292 32252762 32908032 33655056 37861938 44873408 48379143 49362048 50482584 56792907 64505524 65816064 67310112 75723876 89746816 96758286 98724096 100965168 113585814 129011048 134620224 145137429 151447752 170378721 179493632 193516572 197448192 201930336 227171628 258022096 269240448 290274858 302895504 340757442 358987264 370906763 387033144 403860672 435412287 454343256 511136163 516044192 538480896 580549716 605791008 681514884 741813526 774066288 807721344 870824574 908686512 1022272326 1032088384 1076961792 1112720289 1161099432 1211582016 1306236861 1363029768 1483627052 1548132576 1615442688 1741649148 1817373024 2044544652 2064176768 2225440578 2322198864 2423164032 2612473722 2726059536 2967254104 3096265152 3230885376 3338160867 3483298296 3634746048 3918710583 4089089304 4128353536 4450881156 4644397728 4846328064 5224947444 5452119072 5934508208 6192530304 6676321734 6966596592 7269492096 7837421166 8178178608 8256707072 8901762312 9288795456 9692656128 10014482601 10449894888 10904238144 11756131749 11869016416 12385060608 13352643468 13933193184 14538984192 15674842332 16356357216 17803524624 18577590912 20028965202 20899789776 21808476288 23512263498 23738032832 24770121216 26705286936 27866386368 29077968384 30043447803 31349684664 32712714432 35607049248 37155181824 40057930404 41799579552 43616952576 47024526996 47476065664 53410573872 55732772736 60086895606 62699369328 65425428864 71214098496 74310363648 80115860808 83599159104 87233905152 90130343409 94049053992 94952131328 106821147744 111465545472 120173791212 125398738656 130850857728 142428196992 160231721616 167198318208 180260686818 188098107984 189904262656 213642295488 222931090944 240347582424 250797477312 261701715456 270391030227 284856393984 320463443232 334396636416 360521373636 376196215968 427284590976 480695164848 501594954624 540782060454 569712787968 640926886464 668793272832 721042747272 752392431936 854569181952 961390329696 1003189909248 1081564120908 1281853772928 1442085494544 1504784863872 1709138363904 1922780659392 2006379818496 2163128241816 2563707545856 2884170989088 3009569727744 3845561318784 4326256483632 5127415091712 5768341978176 6019139455488 7691122637568 8652512967264 11536683956352 15382245275136 17305025934528 23073367912704 34610051869056 46146735825408 69220103738112 138440207476224
- Sum of all divisors σ(n): 433541450735316
- Sum of proper divisors (its aliquot sum) s(n): 295101243259092
- 138440207476224 is an abundant number, because the sum of its proper divisors (295101243259092) is greater than itself. Its abundance is 156661035782868
Bases of 138440207476224
- Binary: 111110111101001000111110110001110100110000000002
- Hexadecimal: 0x7DE91F63A600
- Base-36: 1D2MJX4000
Squares and roots of 138440207476224
- 138440207476224 squared (1384402074762242) is 19165691046059947503525298176
- 138440207476224 cubed (1384402074762243) is 2653302244841747719516027949140994030567424
-
The
square root of 138440207476224 is 11766061.6807929407 -
The
cube root of 138440207476224 is 51731.3819746223
Scales and comparisons
How big is 138440207476224?- 138,440,207,476,224 seconds is equal to 4,401,970 years, 19 weeks, 3 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,440,207,476,224 would take you about eleven million, four thousand, nine hundred twenty-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 138440207476224 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138440207476224
- 138440207476224 backwards is 422674702044831
- 138440207476224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138440207476224's digits is 54
- More coming soon!
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