138614399620941312

Names of 138614399620941312

• Cardinal: 138614399620941312 can be written as One hundred thirty-eight quadrillion, six hundred fourteen trillion, three hundred ninety-nine billion, six hundred twenty million, nine hundred forty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.38614399620941312 × 10¹⁷

Factors of 138614399620941312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 12610

Divisors of 138614399620941312

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 59 64 72 76 81 96 108 114 118 128 144 152 162 171 177 192 216 228 236 256 288 304 324 342 354 361 384 432 456 472 512 513 531 576 608 648 684 708 722 768 864 912 944 1026 1062 1083 1121 1152 1216 1296 1368 1416 1444 1536 1539 1593 1728 1824 1888 2052 2124 2166 2242 2304 2432 2592 2736 2832 2888 3078 3186 3249 3363 3456 3648 3776 4104 4248 4332 4484 4608 4779 4864 5184 5472 5664 5776 6156 6372 6498 6726 6912 7296 7552 8208 8496 8664 8968 9558 9728 9747 10089 10368 10944 11328 11552 12312 12527 12744 12996 13452 13824 14592 15104 16416 16992 17328 17936 19116 19494 20178 20736 21299 21888 22656 23104 24624 25054 25488 25992 26904 29184 29241 30208 30267 32832 33984 34656 35872 37581 38232 38988 40356 41472 42598 43776 45312 46208 49248 50108 50976 51984 53808 58482 60534 63897 65664 67968 69312 71744 75162 76464 77976 80712 85196 87552 90624 90801 92416 98496 100216 101952 103968 107616 112743 116964 121068 127794 131328 135936 138624 143488 150324 152928 155952 161424 170392 181602 184832 191691 196992 200432 203904 207936 215232 225486 233928 238013 242136 255588 262656 271872 277248 286976 300648 305856 311904 322848 338229 340784 363204 383382 393984 400864 407808 415872 430464 450972 467856 476026 484272 511176 554496 573952 575073 601296 611712 623808 645696 676458 681568 714039 726408 739093 766764 787968 801728 815616 831744 860928 901944 935712 952052 968544 1014687 1022352 1150146 1202592 1223424 1247616 1291392 1352916 1363136 1428078 1452816 1478186 1533528 1603456 1663488 1721856 1725219 1803888 1871424 1904104 1937088 2029374 2044704 2142117 2217279 2300292 2405184 2446848 2495232 2582784 2705832 2726272 2856156 2905632 2956372 3067056 3206912 3450438 3607776 3742848 3808208 3874176 4058748 4089408 4284234 4434558 4522247 4600584 4810368 4990464 5165568 5411664 5452544 5712312 5811264 5912744 6134112 6413824 6426351 6651837 6900876 7215552 7485696 7616416 7748352 8117496 8178816 8568468 8869116 9044494 9201168 9620736 10823328 10905088 11424624 11622528 11825488 12268224 12852702 13303674 13566741 13801752 14042767 14431104 14971392 15232832 15496704 16234992 16357632 17136936 17738232 18088988 18402336 19241472 19279053 19955511 21646656 22849248 23245056 23650976 24536448 25705404 26607348 27133482 27603504 28085534 28862208 30465664 32469984 32715264 34273872 35476464 36177976 36804672 38558106 39911022 40700223 42128301 43293312 45698496 46490112 47301952 49072896 51410808 53214696 54266964 55207008 56171068 57724416 59866533 60931328 64939968 68547744 70952928 72355952 73609344 77116212 79822044 81400446 84256602 86586624 91396992 94603904 98145792 102821616 106429392 108533928 110414016 112342136 119733066 121862656 122100669 126384903 129879936 137095488 141905856 144711904 147218688 154232424 156925729 159644088 162800892 168513204 173173248 182793984 189207808 205643232 212858784 217067856 220828032 224684272 239466132 244201338 252769806 259759872 266812573 274190976 283811712 289423808 294437376 308464848 313851458 319288176 325601784 337026408 365587968 366302007 378415616 379154709 411286464 425717568 434135712 441656064 449368544 470777187 478932264 488402676 505539612 519519744 533625146 548381952 567623424 578847616 616929696 627702916 638576352 651203568 674052816 732604014 758309418 800437719 822572928 851435136 868271424 883312128 898737088 941554374 957864528 976805352 1011079224 1067250292 1096763904 1135246848 1137464127 1157695232 1233859392 1255405832 1277152704 1302407136 1348105632 1412331561 1465208028 1516618836 1600875438 1645145856 1702870272 1736542848 1797474176 1883108748 1915729056 1953610704 2022158448 2134500584 2274928254 2315390464 2401313157 2467718784 2510811664 2554305408 2604814272 2696211264 2824663122 2930416056 2981588851 3033237672 3201750876 3290291712 3405740544 3473085696 3594948352 3766217496 3831458112 3907221408 4044316896 4236994683 4269001168 4549856508 4802626314 4935437568 5021623328 5108610816 5209628544 5392422528 5649326244 5860832112 5963177702 6066475344 6403501752 6946171392 7189896704 7203939471 7532434992 7662916224 7814442816 8088633792 8473989366 8538002336 8944766553 9099713016 9258618011 9605252628 9870875136 10043246656 10217221632 10419257088 10784845056 11298652488 11721664224 11926355404 12132950688 12710984049 12807003504 14407878942 15064869984 15325832448 15628885632 16177267584 16947978732 17076004672 17889533106 18199426032 18517236022 19210505256 20086493312 20838514176 21569690112 21611818413 22597304976 23443328448 23852710808 24265901376 25421968098 25614007008 26834299659 27775854033 28815757884 30129739968 30651664896 31257771264 32354535168 33895957464 34152009344 35779066212 36398852064 37034472044 38421010512 40172986624 43223636826 45194609952 46886656896 47705421616 48531802752 50843936196 51228014016 53668599318 55551708066 56650188169 57631515768 60259479936 62515542528 64709070336 67791914928 68304018688 71558132424 72797704128 74068944088 76842021024 80345973248 80502898977 83327562099 86447273652 90389219904 93773313792 95410843232 97063605504 101687872392 102456028032 107337198636 111103416132 113300376338 115263031536 120518959872 135583829856 136608037376 143116264848 145595408256 148137888176 153684042048 161005797954 166655124198 169950564507 172894547304 175913742209 180778439808 187546627584 190821686464 194127211008 203375744784 204912056064 214674397272 222206832264 226600752676 230526063072 241037919744 241508696931 249982686297 271167659712 286232529696 291190816512 296275776352 307368084096 322011595908 333310248396 339901129014 345789094608 351827484418 361556879616 381643372928 406751489568 409824112128 429348794544 444413664528 453201505352 461052126144 483017393862 499965372594 509851693521 527741226627 542335319424 572465059392 582381633024 592551552704 614736168192 644023191816 666620496792 679802258028 691578189216 703654968836 723113759232 749948058891 763286745856 813502979136 858697589088 888827329056 906403010704 922104252288 966034787724 999930745188 1019703387042 1055482453254 1084670638848 1144930118784 1185103105408 1229472336384 1288046383632 1333240993584 1359604516056 1383156378432 1407309937672 1499896117782 1526573491712 1529555080563 1583223679881 1627005958272 1717395178176 1777654658112 1812806021408 1844208504576 1932069575448 1999861490376 2039406774084 2110964906508 2169341277696 2289860237568 2370206210816 2576092767264 2666481987168 2719209032112 2766312756864 2814619875344 2999792235564 3059110161126 3166447359762 3254011916544 3342361101971 3434790356352 3555309316224 3625612042816 3688417009152 3864139150896 3999722980752 4078813548168 4221929813016 4579720475136 4588665241689 4740412421632 4749671039643 5152185534528 5332963974336 5438418064224 5532625513728 5629239750688 5999584471128 6118220322252 6332894719524 6508023833088 6684722203942 6869580712704 7110618632448 7251224085632 7728278301792 7999445961504 8157627096336 8443859626032 9177330483378 9499342079286 10027083305913 10304371069056 10665927948672 10876836128448 11065251027456 11258479501376 11999168942256 12236440644504 12665789439048 13369444407884 13739161425408 14221237264896 14249013118929 14502448171264 15456556603584 15998891923008 16315254192672 16887719252064 18354660966756 18998684158572 20054166611826 20608742138112 21331855897344 21753672256896 22516959002752 23998337884512 24472881289008 25331578878096 26738888815768 28498026237858 29004896342528 30081249917739 30913113207168 31997783846016 32630508385344 33775438504128 36709321933512 37997368317144 40108333223652 41217484276224 42663711794688 43507344513792 45033918005504 47996675769024 48945762578016 50663157756192 53477777631536 56996052475716 60162499835478 61826226414336 63995567692032 65261016770688 67550877008256 73418643867024 75994736634288 80216666447304 87014689027584 90067836011008 90243749753217 95993351538048 97891525156032 101326315512384 106955555263072 113992104951432 120324999670956 123652452828672 127991135384064 130522033541376 135101754016512 146837287734048 151989473268576 160433332894608 180487499506434 191986703076096 195783050312064 202652631024768 213911110526144 227984209902864 240649999341912 261044067082752 270203508033024 270731249259651 293674575468096 303978946537152 320866665789216 360974999012868 383973406152192 391566100624128 405305262049536 427822221052288 455968419805728 481299998683824 541462498519302 587349150936192 607957893074304 641733331578432 721949998025736 783132201248256 810610524099072 855644442104576 911936839611456 962599997367648 1082924997038604 1174698301872384 1215915786148608 1283466663156864 1443899996051472 1711288884209152 1823873679222912 1925199994735296 2165849994077208 2349396603744768 2431831572297216 2566933326313728 2887799992102944 3647747358445824 3850399989470592 4331699988154416 5133866652627456 5775599984205888 7295494716891648 7700799978941184 8663399976308832 11551199968411776 15401599957882368 17326799952617664 23102399936823552 34653599905235328 46204799873647104 69307199810470656 138614399620941312
• Sum of all divisors σ(n): 444084949766040660
• Sum of proper divisors (its aliquot sum) s(n): 305470550145099348
• 138614399620941312 is an abundant number, because the sum of its proper divisors (305470550145099348) is greater than itself. Its abundance is 166856150524158036

Bases of 138614399620941312

• Binary: 111101100011101010000111111100010001010010000011000000000₂
• Hexadecimal: 0x1EC750FE2290600
• Base-36: 11WUPC3CKG00

Squares and roots of 138614399620941312

• 138614399620941312 squared (138614399620941312²) is 19213951782274014939871088948281344
• 138614399620941312 cubed (138614399620941312³) is 2663330390645627862597217312312715663886773888483328
• The square root of 138614399620941312 is 372309548.1194933201
• The cube root of 138614399620941312 is 517530.6985402515

Scales and comparisons

• 138,614,399,620,941,312 seconds is equal to 4,407,509,145 years, 23 weeks, 5 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 138,614,399,620,941,312 would take you about thirteen billion, two hundred twenty-two million, five hundred twenty-seven thousand, four hundred thirty-six 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 138614399620941312 cubic inches would be around 43127.6 feet tall.

Recreational maths with 138614399620941312

• 138614399620941312 backwards is 213149026993416831
• 138614399620941312 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138614399620941312's digits is 72
• More coming soon!