138083474304000
138,083,474,304,000 is an even composite number composed of six prime numbers multiplied together.
138083474304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138083474304000:
210 × 33 × 53 × 17 × 37 × 63521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 37 × 63521)See below for interesting mathematical facts about the number 138083474304000 from the Numbermatics database.
Names of 138083474304000
- Cardinal: 138083474304000 can be written as One hundred thirty-eight trillion, eighty-three billion, four hundred seventy-four million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.38083474304 × 1014
Factors of 138083474304000
Divisors of 138083474304000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 37 40 45 48 50 51 54 60 64 68 72 74 75 80 85 90 96 100 102 108 111 120 125 128 135 136 144 148 150 153 160 170 180 185 192 200 204 216 222 225 240 250 255 256 270 272 288 296 300 306 320 333 340 360 370 375 384 400 408 425 432 444 450 459 480 500 510 512 540 544 555 576 592 600 612 629 640 666 675 680 720 740 750 765 768 800 816 850 864 888 900 918 925 960 999 1000 1020 1024 1080 1088 1110 1125 1152 1184 1200 1224 1258 1275 1280 1332 1350 1360 1440 1480 1500 1530 1536 1600 1632 1665 1700 1728 1776 1800 1836 1850 1887 1920 1998 2000 2040 2125 2160 2176 2220 2250 2295 2304 2368 2400 2448 2516 2550 2560 2664 2700 2720 2775 2880 2960 3000 3060 3072 3145 3200 3264 3330 3375 3400 3456 3552 3600 3672 3700 3774 3825 3840 3996 4000 4080 4250 4320 4352 4440 4500 4590 4608 4625 4736 4800 4896 4995 5032 5100 5120 5328 5400 5440 5550 5661 5760 5920 6000 6120 6290 6375 6400 6528 6660 6750 6800 6912 7104 7200 7344 7400 7548 7650 7680 7992 8000 8160 8325 8500 8640 8704 8880 9000 9180 9216 9250 9435 9472 9600 9792 9990 10064 10200 10656 10800 10880 11100 11322 11475 11520 11840 12000 12240 12580 12750 12800 13056 13320 13500 13600 13824 13875 14208 14400 14688 14800 15096 15300 15360 15725 15984 16000 16320 16650 16983 17000 17280 17408 17760 18000 18360 18500 18870 18944 19125 19200 19584 19980 20128 20400 21312 21600 21760 22200 22644 22950 23040 23680 24000 24480 24975 25160 25500 25600 26112 26640 27000 27200 27648 27750 28305 28416 28800 29376 29600 30192 30600 31450 31968 32000 32640 33300 33966 34000 34560 35520 36000 36720 37000 37740 37888 38250 38400 39168 39960 40256 40800 41625 42624 43200 43520 44400 45288 45900 46080 47175 47360 48000 48960 49950 50320 51000 52224 53280 54000 54400 55500 56610 56832 57375 57600 58752 59200 60384 61200 62900 63521 63936 64000 65280 66600 67932 68000 69120 71040 72000 73440 74000 75480 76500 76800 78336 78625 79920 80512 81600 83250 84915 85248 86400 87040 88800 90576 91800 94350 94720 96000 97920 99900 100640 102000 106560 108000 108800 111000 113220 113664 114750 115200 117504 118400 120768 122400 124875 125800 127042 127872 128000 130560 133200 135864 136000 138240 141525 142080 144000 146880 148000 150960 153000 156672 157250 159840 161024 163200 166500 169830 170496 172800 177600 181152 183600 188700 189440 190563 192000 195840 199800 201280 204000 213120 216000 217600 222000 226440 229500 230400 235008 235875 236800 241536 244800 249750 251600 254084 255744 261120 266400 271728 272000 283050 284160 288000 293760 296000 301920 306000 314500 317605 319680 322048 326400 333000 339660 340992 345600 355200 362304 367200 377400 381126 384000 391680 399600 402560 408000 424575 426240 432000 435200 444000 452880 459000 470016 471750 473600 483072 489600 499500 503200 508168 511488 532800 543456 544000 566100 568320 571689 576000 587520 592000 603840 612000 629000 635210 639360 644096 652800 666000 679320 691200 707625 710400 724608 734400 754800 762252 783360 799200 805120 816000 849150 852480 864000 888000 905760 918000 943500 947200 952815 966144 979200 999000 1006400 1016336 1022976 1065600 1079857 1086912 1088000 1132200 1143378 1152000 1175040 1184000 1207680 1224000 1258000 1270420 1278720 1305600 1332000 1358640 1415250 1420800 1449216 1468800 1509600 1524504 1588025 1598400 1610240 1632000 1698300 1704960 1715067 1728000 1776000 1811520 1836000 1887000 1905630 1932288 1958400 1998000 2012800 2032672 2122875 2131200 2159714 2173824 2176000 2264400 2286756 2350080 2350277 2368000 2415360 2448000 2516000 2540840 2557440 2664000 2717280 2830500 2841600 2858445 2898432 2937600 3019200 3049008 3176050 3196800 3220480 3239571 3264000 3396600 3430134 3456000 3552000 3623040 3672000 3774000 3811260 3916800 3996000 4025600 4065344 4245750 4262400 4319428 4347648 4528800 4573512 4700554 4736000 4764075 4830720 4896000 5032000 5081680 5114880 5328000 5399285 5434560 5661000 5716890 5796864 5875200 6038400 6098016 6352100 6393600 6479142 6528000 6793200 6860268 7050831 7104000 7246080 7344000 7548000 7622520 7940125 7992000 8051200 8130688 8491500 8524800 8575335 8638856 8695296 9057600 9147024 9401108 9528150 9661440 9718713 9792000 10064000 10163360 10656000 10798570 10869120 11322000 11433780 11750400 11751385 12076800 12196032 12704200 12787200 12958284 13586400 13720536 14101662 14208000 14292225 14492160 14688000 15096000 15245040 15880250 15984000 16102400 16197855 16261376 16983000 17150670 17277712 17390592 18115200 18294048 18802216 19056300 19437426 19584000 20128000 20326720 21152493 21312000 21597140 21738240 22644000 22867560 23502770 23820375 24153600 24392064 25408400 25574400 25916568 26996425 27172800 27441072 28203324 28584450 28984320 29156139 29376000 30192000 30490080 31760500 31968000 32395710 32522752 33966000 34301340 34555424 35254155 36230400 36588096 37604432 38112600 38874852 39954709 40256000 40653440 42304986 42624000 42876675 43194280 43476480 45288000 45735120 47005540 47640750 48307200 48593565 48784128 50816800 51833136 53992850 54345600 54882144 56406648 57168900 58312278 58752000 58756925 60384000 60980160 63457479 63521000 63936000 64791420 65045504 67932000 68602680 69110848 70508310 71461125 72460800 73176192 75208864 76225200 77749704 79909418 80512000 80989275 81306880 84609972 85753350 86388560 86952960 90576000 91470240 94011080 95281500 97187130 97568256 101633600 103666272 105762465 107985700 108691200 109764288 112813296 114337800 116624556 117513850 119864127 120768000 121960320 126914958 127042000 127872000 129582840 134982125 135864000 137205360 138221696 141016620 142922250 144921600 145780695 146352384 150417728 152450400 155499408 159818836 161978550 162613760 169219944 171506700 172777120 176270775 181152000 182940480 188022160 190563000 194374260 195136512 199773545 203267200 207332544 211524930 214383375 215971400 217382400 219528576 225626592 228675600 233249112 235027700 239728254 241536000 242967825 243920640 253829916 254084000 259165680 269964250 271728000 274410720 276443392 282033240 285844500 291561390 292704768 293784625 300835456 304900800 310998816 317287395 319637672 323957100 325227520 338439888 343013400 345554240 352541550 359592381 362304000 365880960 376044320 381126000 388748520 399547090 404946375 406534400 414665088 423049860 428766750 431942800 434764800 439057152 451253184 457351200 466498224 470055400 479456508 485935650 487841280 507659832 508168000 518331360 528812325 539928500 543456000 548821440 552886784 564066480 571689000 583122780 585409536 587569250 599320635 601670912 609801600 621997632 634574790 639275344 647914200 676879776 686026800 691108480 705083100 719184762 724608000 728903475 731761920 752088640 762252000 777497040 799094180 809892750 813068800 829330176 846099720 857533500 863885600 878114304 881353875 902506368 914702400 932996448 940110800 958913016 971871300 975682560 998867725 1015319664 1016336000 1036662720 1057624650 1078777143 1079857000 1086912000 1097642880 1105773568 1128132960 1143378000 1166245560 1175138500 1198641270 1203341824 1214839125 1219603200 1243995264 1269149580 1278550688 1295828400 1353759552 1372053600 1382216960 1410166200 1438369524 1457806950 1463523840 1504177280 1524504000 1554994080 1586436975 1598188360 1619785500 1626137600 1658660352 1692199440 1715067000 1727771200 1756228608 1762707750 1797961905 1805012736 1829404800 1865992896 1880221600 1917826032 1943742600 1997735450 2030639328 2032672000 2073325440 2115249300 2157554286 2159714000 2173824000 2195285760 2256265920 2286756000 2332491120 2350277000 2397282540 2406683648 2429678250 2439206400 2487990528 2538299160 2557101376 2591656800 2644061625 2707519104 2744107200 2764433920 2820332400 2876739048 2915613900 2927047680 2996603175 3008354560 3049008000 3109988160 3172873950 3196376720 3239571000 3317320704 3384398880 3430134000 3455542400 3525415500 3595923810 3610025472 3644517375 3658809600 3731985792 3760443200 3835652064 3887485200 3995470900 4061278656 4065344000 4146650880 4230498600 4315108572 4319428000 4390571520 4512531840 4573512000 4664982240 4700554000 4794565080 4859356500 4878412800 4975981056 4994338625 5076598320 5114202752 5183313600 5288123250 5393885715 5415038208 5488214400 5528867840 5640664800 5753478096 5831227800 5993206350 6016709120 6098016000 6219976320 6345747900 6392753440 6479142000 6768797760 6860268000 6911084800 7050831000 7191847620 7220050944 7289034750 7317619200 7463971584 7520886400 7671304128 7774970400 7932184875 7990941800 8122557312 8130688000 8293301760 8460997200 8630217144 8638856000 8781143040 8989809525 9025063680 9147024000 9329964480 9401108000 9589130160 9718713000 9951962112 9988677250 10153196640 10228405504 10366627200 10576246500 10787771430 10830076416 10976428800 11281329600 11506956192 11662455600 11986412700 12033418240 12196032000 12439952640 12691495800 12785506880 12958284000 13537595520 13720536000 13822169600 14101662000 14383695240 14578069500 14635238400 14927943168 14983015875 15041772800 15342608256 15549940800 15864369750 15981883600 16245114624 16586603520 16921994400 17260434288 17277712000 17979619050 18050127360 18294048000 18659928960 18802216000 19178260320 19437426000 19977354500 20306393280 20456811008 20733254400 21152493000 21575542860 21660152832 21952857600 22562659200 23013912384 23324911200 23972825400 24392064000 24879905280 25382991600 25571013760 25916568000 26969428575 27075191040 27441072000 27644339200 28203324000 28767390480 29156139000 29855886336 29966031750 30083545600 30685216512 31099881600 31728739500 31963767200 32490229248 33843988800 34520868576 34555424000 35959238100 36100254720 36588096000 37319857920 37604432000 38356520640 38874852000 39954709000 40612786560 40913622016 41466508800 42304986000 43151085720 43905715200 44949047625 45125318400 46027824768 46649822400 47945650800 49759810560 50765983200 51142027520 51833136000 53938857150 54150382080 54882144000 56406648000 57534780960 58312278000 59932063500 60167091200 61370433024 62199763200 63457479000 63927534400 64980458496 67687977600 69041737152 69110848000 71918476200 73176192000 74639715840 75208864000 76713041280 77749704000 79909418000 81225573120 82933017600 84609972000 86302171440 89898095250 90250636800 92055649536 93299644800 95891301600 101531966400 102284055040 103666272000 107877714300 108300764160 109764288000 112813296000 115069561920 116624556000 119864127000 122740866048 124399526400 126914958000 127855068800 134847142875 135375955200 138083474304 138221696000 143836952400 149279431680 150417728000 153426082560 155499408000 159818836000 162451146240 169219944000 172604342880 179796190500 180501273600 184111299072 186599289600 191782603200 203063932800 204568110080 207332544000 215755428600 219528576000 225626592000 230139123840 233249112000 239728254000 248799052800 253829916000 255710137600 269694285750 270751910400 276166948608 287673904800 300835456000 306852165120 310998816000 319637672000 324902292480 338439888000 345208685760 359592381000 368222598144 373198579200 383565206400 406127865600 414665088000 431510857200 451253184000 460278247680 466498224000 479456508000 507659832000 511420275200 539388571500 541503820800 552333897216 575347809600 613704330240 621997632000 639275344000 676879776000 690417371520 719184762000 746397158400 767130412800 812255731200 863021714400 902506368000 920556495360 932996448000 958913016000 1015319664000 1022840550400 1078777143000 1104667794432 1150695619200 1243995264000 1278550688000 1353759552000 1380834743040 1438369524000 1534260825600 1624511462400 1726043428800 1841112990720 1865992896000 1917826032000 2030639328000 2157554286000 2301391238400 2557101376000 2707519104000 2761669486080 2876739048000 3068521651200 3452086857600 3731985792000 3835652064000 4061278656000 4315108572000 4602782476800 5114202752000 5523338972160 5753478096000 6904173715200 7671304128000 8122557312000 8630217144000 9205564953600 11506956192000 13808347430400 15342608256000 17260434288000 23013912384000 27616694860800 34520868576000 46027824768000 69041737152000 138083474304000
- Sum of all divisors σ(n): 554986855837440
- Sum of proper divisors (its aliquot sum) s(n): 416903381533440
- 138083474304000 is an abundant number, because the sum of its proper divisors (416903381533440) is greater than itself. Its abundance is 278819907229440
Bases of 138083474304000
- Binary: 111110110010110000100000110111101101100000000002
- Hexadecimal: 0x7D96106F6C00
- Base-36: 1CY2O7E2O0
Squares and roots of 138083474304000
- 138083474304000 squared (1380834743040002) is 19067045875863428284416000000
- 138083474304000 cubed (1380834743040003) is 2632843939252976873324503539646464000000000
-
The
square root of 138083474304000 is 11750892.4896792415 -
The
cube root of 138083474304000 is 51686.9098902569
Scales and comparisons
How big is 138083474304000?- 138,083,474,304,000 seconds is equal to 4,390,627 years, 18 weeks, 6 days.
-
To count from 1 to 138,083,474,304,000 would take you about ten million, nine hundred seventy-six thousand, five hundred sixty-eight 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 138083474304000 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138083474304000
- 138083474304000 backwards is 000403474380831
- 138083474304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138083474304000's digits is 45
- More coming soon!
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The information we have on file for 138083474304000 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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