138322266993909504
138,322,266,993,909,504 is an even composite number composed of five prime numbers multiplied together.
What does the number 138322266993909504 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138322266993909504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138322266993909504:
28 × 35 × 119 × 23 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 23 × 41)See below for interesting mathematical facts about the number 138322266993909504 from the Numbermatics database.
Names of 138322266993909504
- Cardinal: 138322266993909504 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, two hundred sixty-six billion, nine hundred ninety-three million, nine hundred nine thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38322266993909504 × 1017
Factors of 138322266993909504
Divisors of 138322266993909504
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 41 44 46 48 54 64 66 69 72 81 82 88 92 96 99 108 121 123 128 132 138 144 162 164 176 184 192 198 207 216 242 243 246 253 256 264 276 288 297 324 328 352 363 368 369 384 396 414 432 451 484 486 492 506 528 552 576 594 621 648 656 704 726 736 738 759 768 792 828 864 891 902 943 968 972 984 1012 1056 1089 1104 1107 1152 1188 1242 1296 1312 1331 1353 1408 1452 1472 1476 1518 1584 1656 1728 1782 1804 1863 1886 1936 1944 1968 2024 2112 2178 2208 2214 2277 2304 2376 2484 2592 2624 2662 2673 2706 2783 2816 2829 2904 2944 2952 3036 3168 3267 3312 3321 3456 3564 3608 3726 3772 3872 3888 3936 3993 4048 4059 4224 4356 4416 4428 4554 4752 4961 4968 5184 5248 5324 5346 5412 5566 5589 5658 5808 5888 5904 6072 6336 6534 6624 6642 6831 6912 7128 7216 7452 7544 7744 7776 7872 7986 8096 8118 8349 8448 8487 8712 8832 8856 9108 9504 9801 9922 9936 9963 10368 10373 10496 10648 10692 10824 11132 11178 11316 11616 11808 11979 12144 12177 12672 13068 13248 13284 13662 14256 14432 14641 14883 14904 15088 15488 15552 15744 15972 16192 16236 16698 16974 17424 17664 17712 18216 19008 19602 19844 19872 19926 20493 20736 20746 21296 21384 21648 22264 22356 22632 23232 23616 23958 24288 24354 25047 25344 25461 26136 26496 26568 27324 28512 28864 29282 29403 29766 29808 30176 30613 30976 31104 31119 31488 31944 32384 32472 33396 33948 34848 35424 35937 36432 36531 38016 39204 39688 39744 39852 40986 41492 42592 42768 43296 43923 44528 44649 44712 45264 46464 47232 47916 48576 48708 50094 50922 52272 52992 53136 54571 54648 57024 57728 58564 58806 59532 59616 60352 61226 61479 62208 62238 63888 64768 64944 66792 67896 69696 70848 71874 72864 73062 75141 76032 76383 78408 79376 79488 79704 81972 82984 85184 85536 86592 87846 89056 89298 89424 90528 91839 92928 93357 94464 95832 97152 97416 100188 101844 104544 106272 107811 109142 109296 109593 114048 114103 115456 117128 117612 119064 119232 120704 122452 122958 124476 127776 129888 131769 133584 133947 135792 139392 141696 143748 145728 146124 150282 152766 156816 158752 158976 159408 161051 163713 163944 165968 170368 171072 173184 175692 178112 178596 178848 181056 183678 186714 191664 194304 194832 200376 203688 209088 212544 215622 218284 218592 219186 225423 228096 228206 229149 234256 235224 238128 238464 241408 244904 245916 248952 255552 259776 263538 267168 267894 271584 275517 278784 280071 283392 287496 291456 292248 300564 305532 313632 317504 318816 322102 323433 327426 327888 331936 336743 340736 342144 342309 346368 351384 356224 357192 357696 362112 367356 373428 383328 389664 395307 400752 401841 407376 418176 425088 431244 436568 437184 438372 450846 456412 458298 468512 470448 476256 476928 483153 489808 491139 491832 497904 511104 519552 527076 534336 535788 543168 551034 560142 574992 582912 584496 600281 601128 611064 627264 635008 637632 644204 646866 654852 655776 663872 673486 676269 684288 684618 702768 712448 714384 715392 724224 734712 746856 766656 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91121388006528 93714273031104 93968931381732 95263269279552 98240246444538 102233752397568 103923566486784 105428557159992 106730144285424 111370585341312 116432884675008 120071412321102 124952364041472 125291908508976 127017692372736 130986995259384 136682082009792 140571409546656 142306859047232 142894903919328 146683209961728 153350628596352 155243846233344 160095216428136 167055878011968 174649327012512 180107118481653 182242776013056 187428546062208 187937862763464 190526538559104 196480492889076 210857114319984 213460288570848 222741170682624 232865769350016 240142824642204 250583817017952 261973990518768 273364164019584 281142819093312 284613718094464 285789807838656 306701257192704 320190432856272 334111756023936 349298654025024 360214236963306 374857092124416 375875725526928 381053077118208 392960985778152 421714228639968 426920577141696 465731538700032 480285649284408 501167634035904 523947981037536 540321355444959 546728328039168 562285638186624 569227436188928 571579615677312 640380865712544 668223512047872 698597308050048 720428473926612 751751451053856 785921971556304 843428457279936 853841154283392 960571298568816 1002335268071808 1047895962075072 1080642710889918 1124571276373248 1143159231354624 1280761731425088 1397194616100096 1440856947853224 1503502902107712 1571843943112608 1686856914559872 1707682308566784 1921142597137632 2004670536143616 2095791924150144 2161285421779836 2561523462850176 2881713895706448 3007005804215424 3143687886225216 3373713829119744 3842285194275264 4191583848300288 4322570843559672 5123046925700352 5763427791412896 6014011608430848 6287375772450432 7684570388550528 8645141687119344 11526855582825792 12574751544900864 15369140777101056 17290283374238688 23053711165651584 34580566748477376 46107422331303168 69161133496954752 138322266993909504
- Sum of all divisors σ(n): 486306044310078720
- Sum of proper divisors (its aliquot sum) s(n): 347983777316169216
- 138322266993909504 is an abundant number, because the sum of its proper divisors (347983777316169216) is greater than itself. Its abundance is 209661510322259712
Bases of 138322266993909504
- Binary: 1111010110110101101011110011101001011001011011111000000002
- Hexadecimal: 0x1EB6B5E74B2DF00
- Base-36: 11TZ5G7T2O00
Squares and roots of 138322266993909504
- 138322266993909504 squared (1383222669939095042) is 19133049546334386572288230141526016
- 138322266993909504 cubed (1383222669939095043) is 2646526787755764129003515974512634196074228365656064
-
The
square root of 138322266993909504 is 371917016.2736702533 -
The
cube root of 138322266993909504 is 517166.8740559747
Scales and comparisons
How big is 138322266993909504?- 138,322,266,993,909,504 seconds is equal to 4,398,220,231 years, 28 weeks, 1 day, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,322,266,993,909,504 would take you about thirteen billion, one hundred ninety-four million, six hundred sixty thousand, six hundred ninety-four 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 138322266993909504 cubic inches would be around 43097.2 feet tall.
Recreational maths with 138322266993909504
- 138322266993909504 backwards is 405909399662223831
- 138322266993909504 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138322266993909504's digits is 81
- More coming soon!
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"Number 138322266993909504 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138322266993909504 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138322266993909504/
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The information we have on file for 138322266993909504 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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