138148286464000
138,148,286,464,000 is an even composite number composed of six prime numbers multiplied together.
138148286464000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138148286464000:
215 × 53 × 17 × 29 × 37 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 29 × 37 × 43 × 43)See below for interesting mathematical facts about the number 138148286464000 from the Numbermatics database.
Names of 138148286464000
- Cardinal: 138148286464000 can be written as One hundred thirty-eight trillion, one hundred forty-eight billion, two hundred eighty-six million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38148286464 × 1014
Factors of 138148286464000
Divisors of 138148286464000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 37 40 43 50 58 64 68 74 80 85 86 100 116 125 128 136 145 148 160 170 172 185 200 215 232 250 256 272 290 296 320 340 344 370 400 425 430 464 493 500 512 544 580 592 629 640 680 688 725 731 740 800 850 860 925 928 986 1000 1024 1073 1075 1088 1160 1184 1247 1258 1280 1360 1376 1450 1462 1480 1591 1600 1700 1720 1849 1850 1856 1972 2000 2048 2125 2146 2150 2176 2320 2368 2465 2494 2516 2560 2720 2752 2900 2924 2960 3145 3182 3200 3400 3440 3625 3655 3698 3700 3712 3944 4000 4096 4250 4292 4300 4352 4625 4640 4736 4930 4988 5032 5120 5365 5375 5440 5504 5800 5848 5920 6235 6290 6364 6400 6800 6880 7250 7310 7396 7400 7424 7888 7955 8000 8192 8500 8584 8600 8704 9245 9250 9280 9472 9860 9976 10064 10240 10730 10750 10880 11008 11600 11696 11840 12325 12470 12580 12728 12800 13600 13760 14500 14620 14792 14800 14848 15725 15776 15910 16000 16384 17000 17168 17200 17408 18241 18275 18490 18500 18560 18944 19720 19952 20128 20480 21199 21460 21500 21760 22016 23200 23392 23680 24650 24940 25160 25456 25600 26825 27047 27200 27520 29000 29240 29584 29600 29696 31175 31433 31450 31552 31820 32000 32768 34000 34336 34400 34816 36482 36550 36980 37000 37120 37888 39440 39775 39904 40256 40960 42398 42920 43000 43520 44032 46139 46225 46400 46784 47360 49300 49880 50320 50912 51200 53621 53650 54094 54400 55040 58000 58480 59168 59200 59392 61625 62350 62866 62900 63104 63640 64000 68000 68413 68672 68800 69632 72964 73100 73960 74000 74240 75776 78625 78880 79550 79808 80512 81920 84796 85840 86000 87040 88064 91205 91375 92278 92450 92800 93568 94720 98600 99760 100640 101824 102400 105995 107242 107300 108188 108800 110080 116000 116960 118336 118400 118784 123250 124700 125732 125800 126208 127280 128000 134125 135235 136000 136826 137344 137600 139264 145928 146200 147920 148000 148480 151552 155875 157165 157250 157760 159100 159616 161024 163840 169592 171680 172000 174080 176128 182410 182750 184556 184900 185600 187136 189440 197200 198875 199520 201280 203648 204800 211990 214484 214600 216376 217600 220160 230695 231125 232000 233920 236672 236800 237568 246500 249400 251464 251600 252416 254560 256000 268105 268250 270470 272000 273652 274688 275200 278528 291856 292400 295840 296000 296960 303104 311750 314330 314500 315520 318200 319232 322048 339184 342065 343360 344000 348160 352256 364820 365500 369112 369800 371200 374272 378880 394400 397750 399040 402560 407296 409600 423980 428968 429200 432752 435200 440320 456025 461390 462250 464000 467840 473344 473600 475136 493000 498800 502928 503200 504832 509120 512000 529975 536210 536500 540940 544000 547304 549376 550400 557056 583712 584800 591680 592000 593920 606208 623500 628660 629000 631040 636400 638464 644096 676175 678368 684130 686720 688000 696320 704512 729640 731000 738224 739600 742400 748544 757760 784363 785825 788800 795500 798080 805120 814592 819200 847960 857936 858400 865504 870400 880640 911557 912050 922780 924500 928000 935680 946688 947200 950272 986000 997600 1005856 1006400 1009664 1018240 1024000 1059950 1072420 1073000 1081880 1088000 1094608 1098752 1100800 1153475 1163021 1167424 1169600 1183360 1184000 1187840 1212416 1247000 1257320 1258000 1262080 1272800 1276928 1288192 1340525 1352350 1356736 1368260 1373440 1376000 1392640 1409024 1459280 1462000 1476448 1479200 1484800 1497088 1515520 1568726 1571650 1577600 1591000 1596160 1610240 1629184 1695920 1710325 1715872 1716800 1731008 1740800 1761280 1823114 1824100 1845560 1849000 1856000 1871360 1893376 1894400 1972000 1983977 1995200 2011712 2012800 2019328 2036480 2048000 2119900 2144840 2146000 2163760 2176000 2189216 2197504 2201600 2280125 2306950 2326042 2334848 2339200 2366720 2368000 2375680 2494000 2514640 2516000 2524160 2545600 2553856 2576384 2649875 2681050 2704700 2713472 2736520 2746880 2752000 2785280 2918560 2924000 2952896 2958400 2969600 2994176 3031040 3137452 3143300 3155200 3182000 3192320 3220480 3258368 3380875 3391840 3420650 3431744 3433600 3462016 3481600 3522560 3646228 3648200 3691120 3698000 3712000 3742720 3786752 3788800 3921815 3929125 3944000 3967954 3990400 4023424 4025600 4038656 4072960 4096000 4239800 4289680 4292000 4327520 4352000 4378432 4395008 4403200 4557785 4560250 4613900 4652084 4669696 4678400 4733440 4736000 4751360 4988000 5029280 5032000 5048320 5091200 5107712 5152768 5299750 5362100 5409400 5426944 5473040 5493760 5504000 5767375 5815105 5837120 5848000 5905792 5916800 5939200 5988352 6062080 6274904 6286600 6310400 6364000 6384640 6440960 6516736 6702625 6761750 6783680 6841300 6863488 6867200 6924032 6963200 7045120 7292456 7296400 7382240 7396000 7424000 7485440 7573504 7577600 7843630 7858250 7888000 7935908 7980800 8046848 8051200 8077312 8145920 8479600 8551625 8579360 8584000 8655040 8704000 8756864 8790016 8806400 9115570 9120500 9227800 9304168 9339392 9356800 9466880 9472000 9919885 9976000 10058560 10064000 10096640 10182400 10215424 10305536 10599500 10724200 10818800 10853888 10946080 10987520 11008000 11534750 11630210 11674240 11696000 11811584 11833600 11878400 11976704 12549808 12573200 12620800 12728000 12769280 12881920 13033472 13405250 13523500 13567360 13682600 13726976 13734400 13848064 13926400 14584912 14592800 14764480 14792000 14848000 14970880 15147008 15155200 15687260 15716500 15776000 15871816 15961600 16093696 16102400 16154624 16291840 16959200 17103250 17158720 17168000 17310080 17408000 17513728 17580032 17612800 18231140 18241000 18455600 18608336 18678784 18713600 18933760 18944000 19609075 19839770 19952000 20117120 20128000 20193280 20364800 20430848 20611072 21199000 21448400 21637600 21707776 21892160 21975040 22016000 22788925 23069500 23260420 23348480 23392000 23623168 23667200 23756800 23953408 25099616 25146400 25241600 25456000 25538560 25763840 26066944 26810500 27047000 27134720 27365200 27453952 27468800 27696128 29075525 29169824 29185600 29528960 29584000 29696000 29941760 30294016 30310400 31374520 31433000 31552000 31743632 31923200 32187392 32204800 32583680 33727609 33918400 34206500 34317440 34336000 34620160 34816000 35027456 35160064 35225600 36462280 36482000 36911200 37216672 37357568 37427200 37867520 37888000 39218150 39679540 39904000 40234240 40256000 40386560 40729600 40861696 42398000 42896800 43275200 43415552 43784320 43950080 44032000 45577850 46139000 46520840 46696960 46784000 47246336 47334400 49599425 50199232 50292800 50483200 50912000 51077120 51527680 52133888 53621000 54094000 54269440 54730400 54907904 54937600 55392256 58151050 58339648 58371200 59057920 59168000 59392000 59883520 60588032 62749040 62866000 63104000 63487264 63846400 64374784 64409600 65167360 67455218 67836800 68413000 68634880 68672000 69240320 69632000 70054912 72924560 72964000 73822400 74433344 74715136 74854400 75735040 75776000 78436300 79359080 79808000 80468480 80512000 80773120 81459200 84796000 85793600 86550400 86831104 87568640 87900160 88064000 91155700 92278000 93041680 93393920 93568000 94492672 94668800 98045375 99198850 100398464 100585600 100966400 101824000 102154240 103055360 107242000 108188000 108538880 109460800 109815808 109875200 110784512 113944625 116302100 116679296 116742400 118115840 118336000 118784000 119767040 125498080 125732000 126208000 126974528 127692800 128749568 128819200 130334720 134910436 135673600 136826000 137269760 137344000 138480640 140109824 145377625 145849120 145928000 147644800 148866688 149430272 149708800 151470080 151552000 156872600 158718160 159616000 160936960 161024000 162918400 168638045 169592000 171587200 173100800 173662208 175137280 175800320 176128000 182311400 184556000 186083360 186787840 187136000 188985344 189337600 196090750 198397700 200796928 201171200 201932800 203648000 204308480 214484000 216376000 217077760 218921600 219631616 219750400 221569024 227889250 232604200 233358592 233484800 236231680 236672000 247997125 250996160 251464000 252416000 253949056 255385600 257499136 257638400 260669440 269820872 271347200 273652000 274539520 274688000 276961280 280219648 290755250 291698240 291856000 295289600 297733376 298860544 299417600 302940160 313745200 317436320 319232000 321873920 322048000 325836800 337276090 339184000 343174400 346201600 347324416 350274560 364622800 369112000 372166720 373575680 374272000 377970688 378675200 392181500 396795400 401593856 402342400 403865600 407296000 428968000 432752000 434155520 437843200 439263232 439500800 443138048 455778500 465208400 466717184 466969600 472463360 473344000 495994250 501992320 502928000 504832000 507898112 510771200 514998272 515276800 539641744 542694400 547304000 549079040 549376000 553922560 560439296 581510500 583396480 583712000 590579200 595466752 597721088 598835200 627490400 634872640 638464000 643747840 644096000 651673600 674552180 678368000 686348800 692403200 694648832 700549120 729245600 738224000 744333440 747151360 748544000 755941376 757350400 784363000 793590800 803187712 804684800 814592000 843190225 857936000 865504000 868311040 875686400 878526464 879001600 886276096 911557000 930416800 933434368 933939200 944926720 946688000 991988500 1003984640 1005856000 1009664000 1015796224 1021542400 1029996544 1079283488 1085388800 1094608000 1098158080 1098752000 1107845120 1120878592 1163021000 1166792960 1167424000 1181158400 1190933504 1254980800 1269745280 1276928000 1287495680 1288192000 1303347200 1349104360 1356736000 1372697600 1384806400 1401098240 1458491200 1476448000 1488666880 1494302720 1497088000 1511882752 1514700800 1568726000 1587181600 1606375424 1609369600 1629184000 1686380450 1715872000 1731008000 1736622080 1751372800 1757052928 1823114000 1860833600 1866868736 1867878400 1889853440 1893376000 1983977000 2007969280 2011712000 2019328000 2031592448 2158566976 2170777600 2189216000 2196316160 2197504000 2215690240 2241757184 2326042000 2333585920 2334848000 2362316800 2381867008 2509961600 2539490560 2553856000 2574991360 2576384000 2698208720 2713472000 2745395200 2769612800 2802196480 2916982400 2952896000 2977333760 2988605440 2994176000 3137452000 3174363200 3212750848 3218739200 3258368000 3372760900 3431744000 3462016000 3473244160 3502745600 3646228000 3721667200 3733737472 3735756800 3779706880 3786752000 3967954000 4015938560 4023424000 4063184896 4215951125 4317133952 4341555200 4378432000 4392632320 4395008000 4431380480 4652084000 4667171840 4669696000 4724633600 4763734016 5019923200 5078981120 5107712000 5149982720 5396417440 5426944000 5490790400 5539225600 5604392960 5833964800 5905792000 5954667520 6274904000 6348726400 6425501696 6437478400 6516736000 6745521800 6863488000 6924032000 7005491200 7292456000 7443334400 7467474944 7471513600 7559413760 7573504000 7935908000 8031877120 8046848000 8126369792 8431902250 8634267904 8683110400 8756864000 8785264640 9304168000 9334343680 9339392000 9449267200 9527468032 10039846400 10157962240 10792834880 10853888000 10981580800 11078451200 11208785920 11667929600 11811584000 11909335040 12549808000 12697452800 12851003392 12874956800 13491043600 13726976000 13848064000 14010982400 14584912000 14886668800 14934949888 14943027200 15871816000 16063754240 16093696000 16252739584 16863804500 17268535808 17366220800 17513728000 18608336000 18668687360 18678784000 18898534400 19054936064 20079692800 20315924480 21585669760 21707776000 21963161600 22156902400 23335859200 23623168000 23818670080 25099616000 25394905600 25702006784 25749913600 26982087200 27453952000 27696128000 28021964800 29169824000 29773337600 29869899776 31743632000 32127508480 32187392000 32505479168 33727609000 34537071616 35027456000 37216672000 37337374720 37357568000 37797068800 38109872128 40159385600 40631848960 43171339520 43415552000 43926323200 46671718400 47246336000 47637340160 50199232000 50789811200 53964174400 54907904000 55392256000 56043929600 58339648000 59546675200 63487264000 64255016960 64374784000 65010958336 67455218000 69074143232 70054912000 74433344000 74674749440 74715136000 80318771200 81263697920 86342679040 86831104000 93343436800 94492672000 95274680320 100398464000 101579622400 107928348800 109815808000 110784512000 116679296000 119093350400 126974528000 128510033920 128749568000 134910436000 138148286464 140109824000 148866688000 149349498880 160637542400 162527395840 172685358080 186686873600 188985344000 190549360640 200796928000 203159244800 215856697600 219631616000 233358592000 238186700800 253949056000 269820872000 276296572928 280219648000 297733376000 321275084800 325054791680 345370716160 373373747200 401593856000 406318489600 431713395200 466717184000 476373401600 507898112000 539641744000 552593145856 595466752000 642550169600 690741432320 746747494400 803187712000 812636979200 863426790400 933434368000 952746803200 1015796224000 1079283488000 1105186291712 1190933504000 1381482864640 1606375424000 1625273958400 1726853580800 1866868736000 2031592448000 2158566976000 2381867008000 2762965729280 3212750848000 3453707161600 3733737472000 4063184896000 4317133952000 4763734016000 5525931458560 6907414323200 8126369792000 8634267904000 13814828646400 17268535808000 27629657292800 34537071616000 69074143232000 138148286464000
- Sum of all divisors σ(n): 397123760685600
- Sum of proper divisors (its aliquot sum) s(n): 258975474221600
- 138148286464000 is an abundant number, because the sum of its proper divisors (258975474221600) is greater than itself. Its abundance is 120827187757600
Bases of 138148286464000
- Binary: 111110110100101001001111000101010000000000000002
- Hexadecimal: 0x7DA5278A8000
- Base-36: 1CYWG2VLDS
Squares and roots of 138148286464000
- 138148286464000 squared (1381482864640002) is 19084949052939405623296000000
- 138148286464000 cubed (1381482864640003) is 2636553008916318509280988279865344000000000
-
The
square root of 138148286464000 is 11753649.9209394525 -
The
cube root of 138148286464000 is 51694.9953769705
Scales and comparisons
How big is 138148286464000?- 138,148,286,464,000 seconds is equal to 4,392,688 years, 9 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,148,286,464,000 would take you about ten million, nine hundred eighty-one thousand, seven hundred twenty 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 138148286464000 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138148286464000
- 138148286464000 backwards is 000464682841831
- The number of decimal digits it has is: 15
- The sum of 138148286464000's digits is 55
- More coming soon!
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The information we have on file for 138148286464000 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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