138506860136736
138,506,860,136,736 is an even composite number composed of six prime numbers multiplied together.
138506860136736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138506860136736:
25 × 35 × 7 × 134 × 412 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 13 × 41 × 41 × 53)See below for interesting mathematical facts about the number 138506860136736 from the Numbermatics database.
Names of 138506860136736
- Cardinal: 138506860136736 can be written as One hundred thirty-eight trillion, five hundred six billion, eight hundred sixty million, one hundred thirty-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.38506860136736 × 1014
Factors of 138506860136736
Divisors of 138506860136736
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 41 42 48 52 53 54 56 63 72 78 81 82 84 91 96 104 106 108 112 117 123 126 144 156 159 162 164 168 169 182 189 208 212 216 224 234 243 246 252 273 287 288 312 318 324 328 336 338 351 364 369 371 378 416 424 432 468 477 486 492 504 507 533 546 567 574 624 636 648 656 672 676 689 702 728 738 742 756 819 848 861 864 936 954 972 984 1008 1014 1053 1066 1092 1107 1113 1134 1148 1183 1248 1272 1296 1312 1352 1378 1404 1431 1456 1476 1484 1512 1521 1599 1638 1681 1696 1701 1722 1872 1908 1944 1968 2016 2028 2067 2106 2132 2173 2184 2197 2214 2226 2268 2296 2366 2457 2544 2583 2592 2704 2756 2808 2862 2912 2952 2968 3024 3042 3159 3198 3276 3321 3339 3362 3402 3444 3549 3731 3744 3816 3888 3936 4056 4134 4212 4264 4293 4346 4368 4394 4428 4452 4536 4563 4592 4732 4797 4823 4914 5043 5088 5166 5408 5512 5616 5724 5904 5936 6048 6084 6201 6318 6396 6519 6552 6591 6642 6678 6724 6804 6888 6929 7098 7371 7462 7632 7749 7776 8112 8268 8424 8528 8586 8692 8736 8788 8856 8904 8957 9072 9126 9184 9464 9594 9646 9828 9963 10017 10086 10332 10647 11024 11193 11232 11448 11767 11808 11872 12168 12402 12636 12792 12879 13038 13104 13182 13284 13356 13448 13608 13689 13776 13858 14196 14391 14469 14742 14924 15129 15211 15264 15379 15498 16224 16536 16848 17056 17172 17384 17576 17712 17808 17914 18144 18252 18603 18928 19188 19292 19557 19656 19773 19926 20034 20172 20664 20787 21294 21853 22048 22113 22386 22896 23247 23534 24336 24804 25272 25584 25758 26076 26208 26364 26568 26712 26871 26896 27216 27378 27552 27716 28249 28392 28561 28782 28938 29484 29848 30051 30258 30422 30758 30996 31941 33072 33579 33696 34344 34768 35152 35301 35424 35616 35828 36504 37206 37856 38376 38584 39114 39312 39546 39852 40068 40344 41067 41328 41574 42588 43173 43407 43706 44226 44772 45387 45633 45792 46137 46494 47068 48503 48672 49608 50544 51168 51516 52152 52728 53136 53424 53742 53792 54432 54756 55432 55809 56498 56784 57122 57564 57876 58671 58968 59319 59696 60102 60516 60844 61516 61992 62361 62699 63882 65559 66144 67158 68688 69536 69741 70304 70602 71656 73008 74412 76752 77168 78228 78624 79092 79704 80136 80613 80688 82134 82656 83148 84747 85176 85683 86346 86814 87412 88452 89093 89544 90077 90153 90774 91266 92274 92988 94136 95823 97006 99216 100737 101088 103032 104304 105456 105903 106272 106848 107484 109512 110864 111618 112996 113568 114244 115128 115752 116441 117342 117936 118638 119392 120204 121032 121688 123032 123984 124722 125398 127764 129519 130221 131118 134316 136161 136899 137376 138411 139482 141204 143312 145509 146016 148824 152971 153504 154336 156456 158184 159408 160272 161226 161376 164268 166296 167427 169494 170352 171366 172692 173628 174824 176013 176904 177957 178186 179088 180154 180306 181548 182532 184548 185976 187083 188097 188272 191646 194012 196677 197743 198432 199927 201474 206064 208608 210912 211806 214968 219024 221728 223236 225992 228488 230256 231504 232882 234684 235872 237276 240408 241839 242064 243376 246064 247968 249444 250796 254241 255528 257049 259038 260442 262236 267279 268632 270231 272322 273798 276822 278964 282408 284089 286624 287469 291018 297648 302211 305942 312912 316368 317709 318816 320544 322452 328536 332592 334854 338988 340704 342732 345384 347256 349323 349648 352026 353808 355914 356372 358176 360308 360612 363096 365064 367237 369096 371952 374166 376194 376544 383292 388024 390663 393354 395486 399854 402948 408483 410697 412128 415233 423612 429936 436527 438048 446472 451984 456976 458913 460512 463008 465764 469368 474552 480816 483678 484128 486752 492128 498888 501592 508482 511056 514098 518076 520884 524472 528039 533871 534558 537264 540462 544644 547596 553644 557928 561249 564291 564816 568178 574938 582036 590031 593229 595296 599781 604422 611884 623651 625824 630539 632736 635418 644904 657072 665184 669708 677976 685464 690768 694512 698646 699296 704052 707616 711828 712744 720616 721224 725517 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1264764228 1288627704 1296298107 1303324113 1307865312 1313409006 1327915134 1344309148 1370161247 1374935328 1396013346 1427817456 1445444832 1471348476 1489513272 1501038864 1517617296 1525842864 1536353312 1537649568 1546802244 1554632352 1565898568 1584529128 1595443824 1604091216 1616503392 1626125436 1634357088 1665787032 1675702431 1686352304 1716573222 1718170272 1728397476 1737765484 1751212008 1761635889 1770553512 1794874302 1804602618 1861351128 1897146342 1932941556 1961797968 1970113509 1986017696 1991872701 2016463722 2062402992 2094020019 2112705504 2168167248 2209076064 2221049376 2234269908 2251558296 2276425944 2288764296 2304529968 2320203366 2334949344 2348847852 2360738016 2393165736 2406136824 2424755088 2439188154 2451535632 2481801504 2498680548 2529528456 2544585173 2574859833 2577255408 2592596214 2606648226 2626818012 2655830268 2688618296 2706903927 2740322494 2792026692 2845719513 2855634912 2942696952 2979026544 3002077728 3024695583 3035234592 3051685728 3093604488 3131797136 3169058256 3190887648 3208182432 3252250872 3331574064 3351404862 3372704608 3433146444 3456794952 3475530968 3502424016 3523271778 3541107024 3589748604 3609205236 3658782231 3722702256 3794292684 3865883112 3888894321 3909972339 3923595936 3940227018 3983745402 4032927444 4110483741 4124805984 4188040038 4336334496 4468539816 4503116592 4552851888 4577528592 4609059936 4640406732 4697695704 4786331472 4812273648 4849510176 4878376308 4903071264 4997361096 5027107293 5059056912 5089170346 5149719666 5154510816 5185192428 5213296452 5253636024 5284907667 5311660536 5377236592 5413807854 5480644988 5584053384 5691439026 5885393904 5958053088 6049391166 6187208976 6263594272 6282060057 6338116512 6504501744 6663148128 6702809724 6866292888 6913589904 6951061936 7004848032 7046543556 7082214048 7179497208 7218410472 7317564462 7445404512 7588585368 7633755519 7731766224 7777788642 7819944678 7880454036 7967490804 8065854888 8120711781 8220967482 8376080076 8537158539 8937079632 9006233184 9074086749 9105703776 9155057184 9280813464 9395391408 9572662944 9624547296 9756752616 9994722192 10054214586 10118113824 10178340692 10299439332 10370384856 10426592904 10507272048 10569815334 10623321072 10754473184 10827615708 10961289976 11168106768 11382878052 11666682963 11729917017 11770787808 12098782332 12331451223 12374417952 12564120114 13009003488 13405619448 13732585776 13827179808 13902123872 14093087112 14358994416 14436820944 14635128924 15081321879 15177170736 15267511038 15463532448 15555577284 15639889356 15760908072 15854723001 15934981608 16131709776 16241423562 16441934964 16752160152 17074317078 17812096211 17874159264 18148173498 18561626928 18790782816 19513505232 19989444384 20108429172 20356681384 20598878664 20740769712 20853185808 21014544096 21139630668 21246642144 21655231416 21922579952 22336213536 22765756104 22901266557 23333365926 23459834034 24197564664 24662902446 25128240228 25611475617 26811238896 27222260247 27465171552 28186174224 28717988832 28873641888 29270257848 30162643758 30354341472 30535022076 31111154568 31279778712 31521816144 31709446002 31869963216 32263419552 32482847124 32883869928 33504320304 34148634156 35189751051 35624192422 36296346996 36994353669 37123253856 39027010464 40216858344 40713362768 41197757328 41481539424 41706371616 42279261336 43310462832 43845159904 45531512208 45802533114 46666731852 46919668068 47564169003 48395129328 49325804892 50256480456 51222951234 53436288633 53622477792 54444520494 56372348448 58540515696 60325287516 61070044152 62222309136 62559557424 63043632288 63418892004 63739926432 64965694248 65767739856 67008640608 68297268312 68703799671 70379502102 71248384844 72592693992 73988707338 80433716688 81426725536 81666780741 82395514656 84558522672 86620925664 91063024416 91605066228 93333463704 93839336136 95128338006 96790258656 98651609784 100512960912 102445902468 105569253153 106872577266 108889040988 110983061007 117081031392 120650575032 122140088304 124444618272 125119114848 126837784008 129931388496 131535479712 136594536624 137407599342 140759004204 142496769688 145185387984 147977414676 160308865899 160867433376 163333561482 169117045344 183210132456 186666927408 187678672272 190256676012 197303219568 201025921824 204891804936 206111399013 211138506306 213745154532 217778081976 221966122014 241301150064 244280176608 253675568016 259862776992 273189073248 274815198684 281518008408 284993539376 290370775968 295954829352 320617731798 326667122964 332949183021 366420264912 373333854816 375357344544 380513352024 394606439136 409783609872 412222798026 422277012612 427490309064 435556163952 443932244028 480926597697 482602300128 507351136032 549630397368 563036016816 569987078752 591909658704 618334197039 641235463596 653334245928 665898366042 732840529824 761026704048 819567219744 824445596052 844554025224 854980618128 871112327904 887864488056 961853195394 1099260794736 1126072033632 1183819317408 1236668394078 1282470927192 1306668491856 1331796732084 1442779793091 1522053408096 1648891192104 1689108050448 1709961236256 1775728976112 1923706390788 2198521589472 2473336788156 2564941854384 2613336983712 2663593464168 2885559586182 3297782384208 3378216100896 3551457952224 3847412781576 4328339379273 4946673576312 5129883708768 5327186928336 5771119172364 6595564768416 7694825563152 8656678758546 9893347152624 10654373856672 11542238344728 15389651126304 17313357517092 19786694305248 23084476689456 34626715034184 46168953378912 69253430068368 138506860136736
- Sum of all divisors σ(n): 528135430036032
- Sum of proper divisors (its aliquot sum) s(n): 389628569899296
- 138506860136736 is an abundant number, because the sum of its proper divisors (389628569899296) is greater than itself. Its abundance is 251121709762560
Bases of 138506860136736
- Binary: 111110111111000101001000011001010001001001000002
- Hexadecimal: 0x7DF8A4328920
- Base-36: 1D3H68DU00
Squares and roots of 138506860136736
- 138506860136736 squared (1385068601367362) is 19184150304937348036616733696
- 138506860136736 cubed (1385068601367363) is 2657136423128078549374862028823980258656256
-
The
square root of 138506860136736 is 11768893.7516121709 -
The
cube root of 138506860136736 is 51739.6827447867
Scales and comparisons
How big is 138506860136736?- 138,506,860,136,736 seconds is equal to 4,404,089 years, 37 weeks, 3 days, 23 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,506,860,136,736 would take you about eleven million, ten 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 138506860136736 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138506860136736
- 138506860136736 backwards is 637631068605831
- 138506860136736 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138506860136736's digits is 63
- More coming soon!
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MLA style:
"Number 138506860136736 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138506860136736 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138506860136736/
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Numbermatics. 2024. "Number 138506860136736 - Facts about the integer". https://numbermatics.com/n/138506860136736/
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