138459456000
138,459,456,000 is an even composite number composed of five prime numbers multiplied together.
138459456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138459456000:
29 × 35 × 53 × 29 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 307)See below for interesting mathematical facts about the number 138459456000 from the Numbermatics database.
Names of 138459456000
- Cardinal: 138459456000 can be written as One hundred thirty-eight billion, four hundred fifty-nine million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38459456 × 1011
Factors of 138459456000
Divisors of 138459456000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 125 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 250 256 261 270 288 290 300 307 320 324 348 360 375 384 400 405 432 435 450 464 480 486 500 512 522 540 576 580 600 614 640 648 675 696 720 725 750 768 783 800 810 864 870 900 921 928 960 972 1000 1044 1080 1125 1152 1160 1200 1215 1228 1280 1296 1305 1350 1392 1440 1450 1500 1535 1536 1566 1600 1620 1728 1740 1800 1842 1856 1920 1944 2000 2025 2088 2160 2175 2250 2304 2320 2349 2400 2430 2456 2560 2592 2610 2700 2763 2784 2880 2900 3000 3070 3132 3200 3240 3375 3456 3480 3600 3625 3684 3712 3840 3888 3915 4000 4050 4176 4320 4350 4500 4605 4608 4640 4698 4800 4860 4912 5184 5220 5400 5526 5568 5760 5800 6000 6075 6140 6264 6400 6480 6525 6750 6912 6960 7047 7200 7250 7368 7424 7675 7680 7776 7830 8000 8100 8289 8352 8640 8700 8903 9000 9210 9280 9396 9600 9720 9824 10125 10368 10440 10800 10875 11052 11136 11520 11600 11745 12000 12150 12280 12528 12800 12960 13050 13500 13815 13824 13920 14094 14400 14500 14736 14848 15350 15552 15660 16000 16200 16578 16704 17280 17400 17806 18000 18420 18560 18792 19200 19440 19575 19648 20250 20736 20880 21600 21750 22104 22272 23025 23040 23200 23490 24000 24300 24560 24867 25056 25920 26100 26709 27000 27630 27840 28188 28800 29000 29472 30375 30700 31104 31320 32000 32400 32625 33156 33408 34560 34800 35235 35612 36000 36840 37120 37584 38375 38400 38880 39150 39296 40500 41445 41472 41760 43200 43500 44208 44515 44544 46050 46400 46980 48000 48600 49120 49734 50112 51840 52200 53418 54000 55260 55680 56376 57600 58000 58725 58944 60750 61400 62208 62640 64000 64800 65250 66312 66816 69075 69120 69600 70470 71224 72000 73680 74240 74601 75168 76750 77760 78300 78592 80127 81000 82890 83520 86400 87000 88416 89030 92100 92800 93960 96000 97200 97875 98240 99468 100224 103680 104400 106836 108000 110520 111360 112752 115125 115200 116000 117450 117888 121500 122800 124335 124416 125280 129600 130500 132624 133545 133632 138150 139200 140940 142448 144000 147360 149202 150336 153500 155520 156600 157184 160254 162000 165780 167040 172800 174000 176175 176832 178060 184200 185600 187920 192000 194400 195750 196480 198936 200448 207225 207360 208800 213672 216000 221040 222575 222720 225504 230250 232000 234900 235776 240381 243000 245600 248670 250560 259200 261000 265248 267090 276300 278400 281880 284896 288000 293625 294720 298404 300672 307000 311040 313200 320508 324000 331560 334080 345375 345600 348000 352350 353664 356120 368400 371200 373005 375840 388800 391500 392960 397872 400635 400896 414450 417600 427344 432000 442080 445150 451008 460500 464000 469800 471552 480762 486000 491200 497340 501120 518400 522000 530496 534180 552600 556800 563760 569792 576000 587250 589440 596808 601344 614000 621675 622080 626400 641016 648000 663120 667725 668160 690750 696000 704700 707328 712240 721143 736800 746010 751680 777600 783000 785920 795744 801270 828900 835200 854688 864000 880875 884160 890300 902016 921000 928000 939600 961524 972000 982400 994680 1002240 1036125 1036800 1044000 1060992 1068360 1105200 1112875 1113600 1127520 1139584 1174500 1178880 1193616 1201905 1202688 1228000 1243350 1252800 1282032 1296000 1326240 1335450 1381500 1392000 1409400 1414656 1424480 1442286 1473600 1492020 1503360 1555200 1566000 1591488 1602540 1657800 1670400 1709376 1728000 1761750 1768320 1780600 1804032 1842000 1856000 1865025 1879200 1923048 1944000 1964800 1989360 2003175 2004480 2072250 2088000 2121984 2136720 2163429 2210400 2225750 2255040 2279168 2349000 2357760 2387232 2403810 2456000 2486700 2505600 2564064 2592000 2652480 2670900 2763000 2784000 2818800 2848960 2884572 2947200 2984040 3006720 3108375 3110400 3132000 3182976 3205080 3315600 3338625 3340800 3418752 3523500 3536640 3561200 3605715 3608064 3684000 3730050 3758400 3846096 3888000 3929600 3978720 4006350 4144500 4176000 4243968 4273440 4326858 4420800 4451500 4510080 4558336 4698000 4774464 4807620 4912000 4973400 5011200 5128128 5184000 5304960 5341800 5526000 5568000 5637600 5697920 5769144 5894400 5968080 6009525 6013440 6216750 6264000 6365952 6410160 6631200 6677250 6837504 7047000 7073280 7122400 7211430 7368000 7460100 7516800 7692192 7776000 7957440 8012700 8289000 8352000 8546880 8653716 8841600 8903000 9020160 9325125 9396000 9548928 9615240 9824000 9946800 10015875 10022400 10256256 10609920 10683600 10817145 11052000 11275200 11395840 11538288 11788800 11936160 12019050 12433500 12528000 12731904 12820320 13262400 13354500 13675008 14094000 14244800 14422860 14736000 14920200 15033600 15384384 15552000 15914880 16025400 16578000 16704000 17093760 17307432 17683200 17806000 18028575 18040320 18650250 18792000 19097856 19230480 19648000 19893600 20031750 20512512 21219840 21367200 21634290 22104000 22550400 22791680 23076576 23872320 24038100 24867000 25056000 25640640 26524800 26709000 28188000 28489600 28845720 29472000 29840400 30047625 30067200 30768768 31829760 32050800 33156000 34187520 34614864 35366400 35612000 36057150 37300500 37584000 38195712 38460960 39787200 40063500 41025024 42734400 43268580 44208000 45100800 46153152 47744640 48076200 49734000 50112000 51281280 53049600 53418000 54085725 56376000 56979200 57691440 58944000 59680800 60095250 61537536 63659520 64101600 66312000 68375040 69229728 71224000 72114300 74601000 75168000 76921920 79574400 80127000 85468800 86537160 88416000 90142875 90201600 92306304 95489280 96152400 99468000 102562560 106099200 106836000 108171450 112752000 113958400 115382880 119361600 120190500 123075072 128203200 132624000 138459456 142448000 144228600 149202000 150336000 153843840 159148800 160254000 170937600 173074320 176832000 180285750 184612608 190978560 192304800 198936000 205125120 213672000 216342900 225504000 230765760 238723200 240381000 256406400 265248000 270428625 276918912 284896000 288457200 298404000 307687680 318297600 320508000 341875200 346148640 360571500 369225216 384609600 397872000 427344000 432685800 451008000 461531520 477446400 480762000 512812800 530496000 540857250 553837824 569792000 576914400 596808000 615375360 641016000 692297280 721143000 769219200 795744000 854688000 865371600 923063040 954892800 961524000 1025625600 1081714500 1107675648 1153828800 1193616000 1282032000 1384594560 1442286000 1538438400 1591488000 1709376000 1730743200 1846126080 1923048000 2163429000 2307657600 2387232000 2564064000 2769189120 2884572000 3076876800 3461486400 3846096000 4326858000 4615315200 4774464000 5128128000 5538378240 5769144000 6922972800 7692192000 8653716000 9230630400 11538288000 13845945600 15384384000 17307432000 23076576000 27691891200 34614864000 46153152000 69229728000 138459456000
- Sum of all divisors σ(n): 536751895680
- Sum of proper divisors (its aliquot sum) s(n): 398292439680
- 138459456000 is an abundant number, because the sum of its proper divisors (398292439680) is greater than itself. Its abundance is 259832983680
Bases of 138459456000
- Binary: 100000001111001101001110100010000000002
- Hexadecimal: 0x203CD3A200
- Base-36: 1RLV6O00
Squares and roots of 138459456000
- 138459456000 squared (1384594560002) is 19171020955815936000000
- 138459456000 cubed (1384594560003) is 2654409132506874534690816000000000
-
The
square root of 138459456000 is 372101.4055334917 -
The
cube root of 138459456000 is 5173.3779415385
Scales and comparisons
How big is 138459456000?- 138,459,456,000 seconds is equal to 4,402 years, 30 weeks, 2 days.
-
To count from 1 to 138,459,456,000 would take you about eight thousand, eight hundred five 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 138459456000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138459456000
- 138459456000 backwards is 000654954831
- 138459456000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138459456000's digits is 45
- More coming soon!
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