138252733424960

Names of 138252733424960

• Cardinal: 138252733424960 can be written as One hundred thirty-eight trillion, two hundred fifty-two billion, seven hundred thirty-three million, four hundred twenty-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3825273342496 × 10¹⁴

Factors of 138252733424960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 89

Divisors of 138252733424960

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 20 22 28 32 34 35 40 44 47 55 56 64 68 70 77 80 85 88 94 110 112 119 121 136 140 154 160 170 176 187 188 220 224 235 238 242 272 280 289 308 320 329 340 352 374 376 385 440 448 470 476 484 517 544 560 578 595 605 616 658 680 704 748 752 770 799 847 880 935 940 952 968 1034 1088 1120 1156 1190 1210 1232 1309 1316 1360 1445 1496 1504 1540 1598 1645 1694 1760 1870 1880 1904 1936 2023 2057 2068 2209 2240 2312 2380 2420 2464 2585 2618 2632 2720 2890 2992 3008 3080 3179 3196 3290 3388 3520 3619 3740 3760 3808 3872 3995 4046 4114 4136 4235 4418 4624 4760 4840 4913 4928 5170 5236 5264 5440 5593 5687 5780 5984 6160 6358 6392 6545 6580 6776 7238 7480 7520 7616 7744 7990 8092 8228 8272 8470 8789 8836 9248 9520 9680 9826 10115 10285 10340 10472 10528 11045 11186 11374 11560 11968 12320 12716 12784 13090 13160 13552 13583 14399 14476 14960 15040 15463 15895 15980 16184 16456 16544 16940 17578 17672 18095 18496 19040 19360 19652 20230 20570 20680 20944 21056 22090 22253 22372 22748 23120 24299 24565 24640 25432 25568 26180 26320 27104 27166 27965 28435 28798 28952 29920 30926 31790 31960 32368 32912 33088 33880 34391 34969 35156 35344 36190 37553 38080 38720 39304 39809 40460 41140 41360 41888 43945 44180 44506 44744 45496 46240 48598 49130 50864 51136 52360 52640 54043 54208 54332 55930 56870 57596 57904 59840 61523 61852 63580 63920 64736 65824 67760 67915 68782 69938 70312 70688 71995 72380 75106 77315 78608 79618 80920 82280 82720 83776 87890 88360 89012 89488 90992 92480 95081 96679 97196 98260 101728 103823 104720 105280 108086 108664 111265 111860 113740 115192 115808 121495 123046 123704 127160 127840 129472 131648 135520 135830 137564 139876 140624 141376 143990 144760 149413 150212 154630 157216 159236 161840 164560 165440 170093 171955 174845 175780 176720 178024 178976 181984 187765 190162 193358 194392 196520 199045 203456 207646 209440 216172 217328 222530 223720 227480 230384 230911 231616 242990 244783 246092 247408 254320 255680 262871 267289 270215 271040 271660 275128 279752 281248 287980 289520 298826 300424 307615 309260 314432 318472 323680 329120 340186 343910 349690 351560 353440 356048 357952 363968 375530 378301 380324 386716 388784 393040 398090 413083 415292 418880 432344 434656 445060 447440 454960 460768 461822 475405 483395 485980 489566 492184 494816 508640 519115 525742 534578 540430 543320 550256 559504 562496 575960 579040 594473 597652 600848 615230 618520 636944 638401 647360 658240 676753 680372 687820 699380 703120 706880 712096 726761 747065 751060 756602 760648 773432 777568 786080 796180 826166 830584 850465 864688 869312 890120 894880 909920 921536 923644 950810 966790 971960 979132 984368 989632 1017280 1038230 1045891 1051484 1069156 1080860 1086640 1100512 1119008 1142053 1151920 1154555 1158080 1188946 1195304 1201696 1223915 1230460 1237040 1273888 1276802 1314355 1336445 1353506 1360744 1375640 1398760 1406240 1424192 1453522 1494130 1502120 1513204 1521296 1546864 1555136 1572160 1592360 1616377 1643543 1652332 1661168 1700930 1729376 1764991 1780240 1789760 1819840 1847288 1871023 1891505 1901620 1933580 1943920 1958264 1968736 2065415 2076460 2091782 2102968 2138312 2161720 2173280 2201024 2238016 2284106 2303840 2309110 2377892 2390608 2403392 2447830 2460920 2474080 2540021 2547776 2553604 2628710 2672890 2707012 2721488 2751280 2797520 2812480 2891581 2907044 2972365 2988260 3004240 3026408 3042592 3093728 3184720 3192005 3232754 3287086 3304664 3322336 3383765 3401860 3458752 3529982 3560480 3633805 3694576 3742046 3783010 3803240 3867160 3887840 3916528 3937472 4130830 4152920 4161311 4183564 4205936 4276624 4323440 4346560 4468807 4543913 4568212 4607680 4618220 4755784 4781216 4895660 4921840 4948160 5080042 5107208 5229455 5257420 5345780 5414024 5442976 5502560 5595040 5710265 5783162 5814088 5944730 5976520 6008480 6052816 6085184 6187456 6369440 6384010 6465508 6574172 6609328 6644672 6767530 6803720 7022411 7059964 7120960 7267610 7389152 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28915810 29070440 29936368 30004847 30264080 30425920 30937280 31807391 31977484 32327540 32870860 33046640 33223360 33290488 33468512 35112055 35299820 35560294 35750456 36351304 36545696 36945760 37420460 38046272 38829802 39165280 39971855 40640336 40857664 41613110 41835640 42059360 42766240 43312192 43411268 44688070 45439130 45682120 46019204 46265296 46512704 47557840 47812160 49156877 49419748 50250332 50800420 51072080 51724064 52593376 54140240 54264085 54429760 55880462 56179288 56479712 57524005 57831620 58140880 59872736 60009694 60528160 61774685 62812915 63614782 63954968 64655080 65741720 66093280 66580976 66937024 70224110 70599640 71120588 71500912 72702608 73091392 73891520 74840920 75969719 77246521 77659604 78330560 79943710 81280672 83226220 83671280 84118720 85532480 86822536 87938081 88900735 89376140 90878260 91364240 92038408 92530592 95115680 97074505 98313754 98839496 100500664 101600840 102144160 103448128 105186752 108280480 108528170 111760924 112358576 112959424 115048010 115663240 116281760 119380987 119745472 120019388 121056320 123549370 125625830 127229564 127909936 129310160 131483440 132186560 133161952 135904307 139701155 140448220 141199280 142241176 143001824 145405216 149681840 150024235 151939438 154493042 155319208 159036955 159887420 162561344 166452440 167342560 173645072 175876162 177801470 178752280 181756520 182728480 184076816 185061184 190231360 194149010 195581617 196627508 197678992 201001328 203201680 204288320 210033929 213563911 216560960 217056340 223521848 224717152 230096020 231326480 232563520 238761974 240038776 245784385 247098740 251251660 254459128 255819872 258620320 262966880 266323904 271808614 279402310 280896440 282398560 284482352 286003648 290810432 299363680 300048470 303878876 308986084 310638416 318073910 319774840 330053317 332904880 334685120 347290144 351752324 355602940 357504560 363513040 365456960 368153632 379848595 386232605 388298020 391163234 393255016 395357984 402002656 406403360 420067858 427127822 434112680 439690405 447043696 449434304 460192040 462652960 477523948 480077552 491568770 494197480 502503320 508918256 510082399 511639744 517240640 525933760 540725647 543617228 558804620 561792880 564797120 568964704 596904935 598727360 600096940 607757752 617972168 621276832 636147820 639549680 660106634 665809760 679521535 694580288 703504648 711205880 715009120 727026080 736307264 759697190 772465210 776596040 782326468 786510032 790715968 804005312 812806720 835666909 840135716 854255644 868225360 879380810 894087392 920384080 925305920 955047896 960155104 977908085 983137540 988394960 1005006640 1017836512 1020164798 1050169645 1067819555 1081451294 1087234456 1117609240 1123585760 1137929408 1193809870 1200193880 1215515504 1235944336 1242553664 1272295640 1279099360 1313190857 1320213268 1331619520 1359043070 1407009296 1422411760 1430018240 1454052160 1494947377 1519394380 1544930420 1553192080 1564652936 1573020064 1650266585 1671333818 1680271432 1708511288 1736450720 1758761620 1788174784 1840768160 1910095792 1920310208 1955816170 1966275080 1976789920 2010013280 2035673024 2040329596 2100339290 2135639110 2162902588 2174468912 2235218480 2247171520 2310373219 2387619740 2400387760 2431031008 2471888672 2544591280 2550411995 2558198720 2626381714 2640426536 2703628235 2718086140 2814018592 2844823520 2989894754 3038788760 3089860840 3106384160 3129305872 3146040128 3300533170 3342667636 3360542864 3417022576 3472901440 3517523240 3570576793 3630586487 3681536320 3820191584 3911632340 3932550160 3953579840 4020026560 4080659192 4178334545 4200678580 4271278220 4325805176 4348937824 4470436960 4620746438 4775239480 4800775520 4862062016 4943777344 5089182560 5100823990 5252763428 5280853072 5407256470 5436172280 5610906389 5628037184 5689647040 5979789508 6077577520 6179721680 6212768320 6258611744 6565954285 6601066340 6685335272 6721085728 6834045152 7035046480 7141153586 7261172974 7474736885 7640383168 7823264680 7865100320 8161318384 8356669090 8401357160 8542556440 8651610352 8697875648 8940873920 9192335999 9241492876 9550478960 9601551040 10178365120 10201647980 10505526856 10561706144 10814512940 10872344560 11221812778 11551866095 11959579016 12155155040 12359443360 12517223488 13131908570 13202132680 13370670544 13442171456 13668090304 14070092960 14282307172 14522345948 14949473770 15646529360 15730200640 16322636768 16713338180 16802714320 17085112880 17303220704 17852883965 18152932435 18384671998 18482985752 19100957920 20403295960 21011053712 21123412288 21629025880 21744689120 22443625556 23103732190 23919158032 24310310080 24718886720 25414105409 26263817140 26404265360 26741341088 28054531945 28140185920 28564614344 29044691896 29898947540 31293058720 32645273536 33426676360 33605428640 34170225760 34606441408 35705767930 36305864870 36769343996 36965971504 38201915840 39276344723 40806591920 42022107424 43258051760 43489378240 44887251112 45961679995 46207464380 47838316064 50828210818 52527634280 52808530720 53482682176 56109063890 57129228688 58089383792 59797895080 61719970279 62586117440 66853352720 67210857280 68340451520 71411535860 72611729740 73538687992 73931943008 78552689446 81613183840 84044214848 86516103520 89774502224 91923359990 92414928760 95676632128 101656421636 105055268560 105617061440 112218127780 114258457376 116178767584 119595790160 123439940558 127070527045 133706705440 142823071720 145223459480 147077375984 147863886016 157105378892 163226367680 173032207040 179549004448 183846719980 184829857520 196381723615 203312843272 210110537120 224436255560 228516914752 232357535168 239191580320 246879881116 254141054090 267413410880 285646143440 290446918960 294154751968 308599851395 314210757784 359098008896 367693439960 369659715040 392763447230 406625686544 420221074240 432039791953 448872511120 478383160640 493759762232 508282108180 571292286880 580893837920 588309503936 617199702790 628421515568 735386879920 739319430080 785526894460 813251373088 864079583906 897745022240 987519524464 1016564216360 1142584573760 1161787675840 1234399405580 1256843031136 1470773759840 1571053788920 1626502746176 1728159167812 1795490044480 1975039048928 2033128432720 2160198959765 2468798811160 2513686062272 2941547519680 3142107577840 3456318335624 3950078097856 4066256865440 4320397919530 4937597622320 6284215155680 6912636671248 8132513730880 8640795839060 9875195244640 12568430311360 13825273342496 17281591678120 19750390489280 27650546684992 34563183356240 69126366712480 138252733424960
• Sum of all divisors σ(n): 448952726476800
• Sum of proper divisors (its aliquot sum) s(n): 310699993051840
• 138252733424960 is an abundant number, because the sum of its proper divisors (310699993051840) is greater than itself. Its abundance is 172447259626880

Bases of 138252733424960

• Binary: 11111011011110101111001000100001010010101000000₂
• Hexadecimal: 0x7DBD7910A540
• Base-36: 1D08FFWG8W

Squares and roots of 138252733424960

• 138252733424960 squared (138252733424960²) is 19113818299473052011951001600
• 138252733424960 cubed (138252733424960³) is 2642537626090170125047442816286070439936000
• The square root of 138252733424960 is 11758092.2527831871
• The cube root of 138252733424960 is 51708.0200891331

Scales and comparisons

• 138,252,733,424,960 seconds is equal to 4,396,009 years, 14 weeks, 3 days, 14 hours, 29 minutes, 20 seconds.
• To count from 1 to 138,252,733,424,960 would take you about ten million, nine hundred ninety thousand and twenty-three 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 138252733424960 cubic inches would be around 4309 feet tall.

Recreational maths with 138252733424960

• 138252733424960 backwards is 069424337252831
• The number of decimal digits it has is: 15
• The sum of 138252733424960's digits is 59
• More coming soon!