138320584755904512
138,320,584,755,904,512 is an even composite number composed of four prime numbers multiplied together.
138320584755904512 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138320584755904512:
223 × 39 × 132 × 4957
(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 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 4957)See below for interesting mathematical facts about the number 138320584755904512 from the Numbermatics database.
Names of 138320584755904512
- Cardinal: 138320584755904512 can be written as One hundred thirty-eight quadrillion, three hundred twenty trillion, five hundred eighty-four billion, seven hundred fifty-five million, nine hundred four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38320584755904512 × 1017
Factors of 138320584755904512
Divisors of 138320584755904512
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 729 768 832 864 936 972 1014 1024 1053 1152 1248 1296 1352 1404 1458 1521 1536 1664 1728 1872 1944 2028 2048 2106 2187 2304 2496 2592 2704 2808 2916 3042 3072 3159 3328 3456 3744 3888 4056 4096 4212 4374 4563 4608 4957 4992 5184 5408 5616 5832 6084 6144 6318 6561 6656 6912 7488 7776 8112 8192 8424 8748 9126 9216 9477 9914 9984 10368 10816 11232 11664 12168 12288 12636 13122 13312 13689 13824 14871 14976 15552 16224 16384 16848 17496 18252 18432 18954 19683 19828 19968 20736 21632 22464 23328 24336 24576 25272 26244 26624 27378 27648 28431 29742 29952 31104 32448 32768 33696 34992 36504 36864 37908 39366 39656 39936 41067 41472 43264 44613 44928 46656 48672 49152 50544 52488 53248 54756 55296 56862 59484 59904 62208 64441 64896 65536 67392 69984 73008 73728 75816 78732 79312 79872 82134 82944 85293 86528 89226 89856 93312 97344 98304 101088 104976 106496 109512 110592 113724 118968 119808 123201 124416 128882 129792 131072 133839 134784 139968 146016 147456 151632 157464 158624 159744 164268 165888 170586 173056 178452 179712 186624 193323 194688 196608 202176 209952 212992 219024 221184 227448 237936 239616 246402 248832 255879 257764 259584 262144 267678 269568 279936 292032 294912 303264 314928 317248 319488 328536 331776 341172 346112 356904 359424 369603 373248 386646 389376 393216 401517 404352 419904 425984 438048 442368 454896 475872 479232 492804 497664 511758 515528 519168 524288 535356 539136 559872 579969 584064 589824 606528 629856 634496 638976 657072 663552 682344 692224 713808 718848 739206 746496 773292 778752 786432 803034 808704 837733 839808 851968 876096 884736 909792 951744 958464 985608 995328 1023516 1031056 1038336 1048576 1070712 1078272 1108809 1119744 1159938 1168128 1179648 1204551 1213056 1259712 1268992 1277952 1314144 1327104 1364688 1384448 1427616 1437696 1478412 1492992 1546584 1557504 1572864 1606068 1617408 1675466 1679616 1703936 1739907 1752192 1769472 1819584 1903488 1916928 1971216 1990656 2047032 2062112 2076672 2097152 2141424 2156544 2217618 2239488 2319876 2336256 2359296 2409102 2426112 2513199 2519424 2537984 2555904 2628288 2654208 2729376 2768896 2855232 2875392 2956824 2985984 3093168 3115008 3145728 3212136 3234816 3326427 3350932 3359232 3407872 3479814 3504384 3538944 3613653 3639168 3806976 3833856 3942432 3981312 4094064 4124224 4153344 4194304 4282848 4313088 4435236 4478976 4639752 4672512 4718592 4818204 4852224 5026398 5038848 5075968 5111808 5219721 5256576 5308416 5458752 5537792 5710464 5750784 5913648 5971968 6186336 6230016 6291456 6424272 6469632 6652854 6701864 6718464 6815744 6959628 7008768 7077888 7227306 7278336 7539597 7613952 7667712 7884864 7962624 8188128 8248448 8306688 8388608 8565696 8626176 8870472 8957952 9279504 9345024 9437184 9636408 9704448 10052796 10077696 10151936 10223616 10439442 10513152 10616832 10840959 10917504 11075584 11420928 11501568 11827296 11943936 12372672 12460032 12582912 12848544 12939264 13305708 13403728 13436928 13631488 13919256 14017536 14155776 14454612 14556672 15079194 15227904 15335424 15659163 15769728 15925248 16376256 16496896 16613376 17131392 17252352 17740944 17915904 18559008 18690048 18874368 19272816 19408896 20105592 20155392 20303872 20447232 20878884 21026304 21233664 21681918 21835008 22151168 22618791 22841856 23003136 23654592 23887872 24745344 24920064 25165824 25697088 25878528 26611416 26807456 26873856 27262976 27838512 28035072 28311552 28909224 29113344 30158388 30455808 30670848 31318326 31539456 31850496 32522877 32752512 32993792 33226752 34262784 34504704 35481888 35831808 37118016 37380096 37748736 38545632 38817792 40211184 40310784 40607744 40894464 41757768 42052608 42467328 43363836 43670016 44302336 45237582 45683712 46006272 46977489 47309184 47775744 49490688 49840128 51394176 51757056 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4221209251584 4262838534144 4447035260928 4618075078656 4650682023936 4865132593152 5002914668544 5052253077504 5195334463488 5270560309248 5473274167296 5628279002112 5683784712192 5929380347904 6157433438208 6394257801216 6670552891392 6927112617984 6976023035904 7027413745664 7297698889728 7504372002816 7578379616256 7905840463872 8209911250944 8442418503168 8525677068288 8894070521856 9236150157312 9301364047872 10005829337088 10104506155008 10390668926976 10541120618496 10946548334592 11256558004224 11367569424384 11858760695808 12314866876416 12788515602432 13341105782784 13854225235968 13952046071808 14595397779456 15008744005632 15156759232512 15811680927744 16419822501888 16884837006336 17051354136576 17788141043712 18472300314624 20011658674176 20781337853952 21082241236992 21893096669184 22513116008448 22735138848768 23717521391616 24629733752832 25577031204864 26682211565568 27708450471936 27904092143616 30017488011264 30313518465024 31623361855488 32839645003776 33769674012672 34102708273152 35576282087424 36944600629248 40023317348352 41562675707904 43786193338368 45026232016896 45470277697536 47435042783232 49259467505664 51154062409728 53364423131136 55416900943872 60034976022528 63246723710976 65679290007552 67539348025344 68205416546304 71152564174848 73889201258496 80046634696704 83125351415808 90052464033792 90940555395072 94870085566464 98518935011328 102308124819456 106728846262272 110833801887744 120069952045056 131358580015104 135078696050688 136410833092608 142305128349696 147778402516992 160093269393408 166250702831616 180104928067584 189740171132928 197037870022656 204616249638912 213457692524544 221667603775488 240139904090112 270157392101376 272821666185216 284610256699392 295556805033984 320186538786816 332501405663232 360209856135168 394075740045312 409232499277824 426915385049088 443335207550976 480279808180224 540314784202752 569220513398784 591113610067968 640373077573632 665002811326464 720419712270336 818464998555648 853830770098176 886670415101952 960559616360448 1080629568405504 1182227220135936 1280746155147264 1330005622652928 1440839424540672 1707661540196352 1773340830203904 1921119232720896 2161259136811008 2561492310294528 2660011245305856 2881678849081344 3546681660407808 3842238465441792 4322518273622016 5122984620589056 5320022490611712 5763357698162688 7684476930883584 8645036547244032 10640044981223424 11526715396325376 15368953861767168 17290073094488064 23053430792650752 34580146188976128 46106861585301504 69160292377952256 138320584755904512
- Sum of all divisors σ(n): 449420293339257240
- Sum of proper divisors (its aliquot sum) s(n): 311099708583352728
- 138320584755904512 is an abundant number, because the sum of its proper divisors (311099708583352728) is greater than itself. Its abundance is 172779123827448216
Bases of 138320584755904512
- Binary: 1111010110110100111010110110001111000000000000000000000002
- Hexadecimal: 0x1EB69D6C7800000
- Base-36: 11TYJZEO0000
Squares and roots of 138320584755904512
- 138320584755904512 squared (1383205847559045122) is 19132584167215363667541647261958144
- 138320584755904512 cubed (1383205847559045123) is 2646430229900789454484598365611650574862703004745728
-
The
square root of 138320584755904512 is 371914754.6897064313 -
The
cube root of 138320584755904512 is 517164.7774995869
Scales and comparisons
How big is 138320584755904512?- 138,320,584,755,904,512 seconds is equal to 4,398,166,741 years, 30 weeks, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,320,584,755,904,512 would take you about thirteen billion, one hundred ninety-four million, five hundred thousand, two hundred twenty-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 138320584755904512 cubic inches would be around 43097.1 feet tall.
Recreational maths with 138320584755904512
- 138320584755904512 backwards is 215409557485023831
- 138320584755904512 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138320584755904512's digits is 72
- More coming soon!
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"Number 138320584755904512 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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The information we have on file for 138320584755904512 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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