138248760000
138,248,760,000 is an even composite number composed of six prime numbers multiplied together.
138248760000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138248760000:
26 × 3 × 54 × 132 × 17 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 401)See below for interesting mathematical facts about the number 138248760000 from the Numbermatics database.
Names of 138248760000
- Cardinal: 138248760000 can be written as One hundred thirty-eight billion, two hundred forty-eight million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3824876 × 1011
Factors of 138248760000
Divisors of 138248760000
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 130 136 150 156 160 169 170 192 195 200 204 208 221 240 250 255 260 272 300 312 320 325 338 340 375 390 400 401 408 416 425 442 480 500 507 510 520 544 600 624 625 650 663 676 680 750 780 800 802 816 832 845 850 884 960 975 1000 1014 1020 1040 1088 1105 1200 1203 1248 1250 1275 1300 1326 1352 1360 1500 1560 1600 1604 1625 1632 1690 1700 1768 1875 1950 2000 2005 2028 2040 2080 2125 2210 2400 2406 2496 2500 2535 2550 2600 2652 2704 2720 2873 3000 3120 3208 3250 3264 3315 3380 3400 3536 3750 3900 4000 4010 4056 4080 4160 4225 4250 4420 4800 4812 4875 5000 5070 5100 5200 5213 5304 5408 5440 5525 5746 6000 6015 6240 6375 6416 6500 6630 6760 6800 6817 7072 7500 7800 8000 8020 8112 8125 8160 8450 8500 8619 8840 9624 9750 10000 10025 10140 10200 10400 10426 10608 10625 10816 11050 11492 12000 12030 12480 12675 12750 12832 13000 13260 13520 13600 13634 14144 14365 15000 15600 15639 16040 16224 16250 16320 16575 16900 17000 17238 17680 19248 19500 20000 20050 20280 20400 20451 20800 20852 21125 21216 21250 22100 22984 24000 24060 24375 25350 25500 25664 26000 26065 26520 27040 27200 27268 27625 28730 30000 30075 31200 31278 31875 32080 32448 32500 33150 33800 34000 34085 34476 35360 38496 39000 40000 40100 40560 40800 40902 41704 42250 42432 42500 43095 44200 45968 48120 48750 50125 50700 51000 52000 52130 53040 54080 54536 55250 57460 60000 60150 62400 62556 63375 63750 64160 65000 66300 67600 67769 68000 68170 68952 70720 71825 76992 78000 78195 80200 81120 81600 81804 82875 83408 84500 85000 86190 88400 88621 91936 96240 97500 100250 101400 102000 102255 104000 104260 105625 106080 109072 110500 114920 120000 120300 125112 126750 127500 128320 130000 130325 132600 135200 135538 136000 136340 137904 138125 143650 150375 156000 156390 160400 162240 163608 165750 166816 169000 170000 170425 172380 176800 177242 183872 192480 195000 200500 202800 203307 204000 204510 208520 211250 212160 215475 218144 221000 229840 240600 250224 250625 253500 255000 260000 260650 265200 265863 270400 271076 272680 275808 276250 287300 300750 312000 312780 316875 320800 327216 331500 333632 338000 338845 340000 340850 344760 353600 354484 359125 384960 390000 390975 401000 405600 406614 408000 409020 414375 417040 422500 430950 436288 442000 443105 459680 481200 500448 501250 507000 510000 511275 520000 521300 530400 531726 542152 545360 551616 552500 574600 601500 625560 633750 641600 651625 654432 663000 676000 677690 680000 681700 689520 708968 718250 751875 780000 781950 802000 811200 813228 818040 828750 834080 845000 852125 861900 884000 886210 919360 962400 1000896 1002500 1014000 1016535 1020000 1022550 1042600 1060800 1063452 1077375 1084304 1090720 1105000 1149200 1152073 1203000 1251120 1267500 1303250 1308864 1326000 1329315 1352000 1355380 1363400 1379040 1417936 1436500 1503750 1560000 1563900 1604000 1626456 1636080 1657500 1668160 1690000 1694225 1704250 1723800 1768000 1772420 1795625 1924800 1954875 2005000 2028000 2033070 2040000 2045100 2085200 2126904 2154750 2168608 2181440 2210000 2215525 2298400 2304146 2406000 2502240 2535000 2556375 2606500 2652000 2658630 2710760 2726800 2758080 2835872 2873000 3007500 3127800 3208000 3252912 3258125 3272160 3315000 3380000 3388450 3408500 3447600 3456219 3544840 3591250 3909750 4010000 4056000 4066140 4090200 4170400 4253808 4260625 4309500 4337216 4420000 4431050 4596800 4608292 4812000 5004480 5070000 5082675 5112750 5213000 5304000 5317260 5386875 5421520 5453600 5671744 5746000 5760365 6015000 6255600 6505824 6516250 6544320 6630000 6646575 6760000 6776900 6817000 6895200 6912438 7089680 7182500 7819500 8020000 8132280 8180400 8340800 8471125 8507616 8521250 8619000 8840000 8862100 9216584 9624000 9774375 10140000 10165350 10225500 10426000 10634520 10773750 10843040 10907200 11077625 11492000 11520730 12030000 12511200 12781875 13011648 13032500 13260000 13293150 13553800 13634000 13790400 13824876 14179360 14365000 15639000 16040000 16264560 16360800 16942250 17015232 17042500 17238000 17281095 17724200 18433168 19548750 20280000 20330700 20451000 20852000 21269040 21547500 21686080 22155250 22984000 23041460 24060000 25022400 25413375 25563750 26065000 26520000 26586300 27107600 27268000 27649752 28358720 28730000 28801825 31278000 32529120 32721600 33232875 33884500 34085000 34476000 34562190 35448400 36866336 39097500 40661400 40902000 41704000 42355625 42538080 43095000 44310500 46082920 48120000 50826750 51127500 52130000 53172600 54215200 54536000 55299504 55388125 57460000 57603650 62556000 65058240 66465750 67769000 68170000 68952000 69124380 70896800 73732672 78195000 81322800 81804000 84711250 85076160 86190000 86405475 88621000 92165840 101653500 102255000 104260000 106345200 108430400 110599008 110776250 114920000 115207300 125112000 127066875 132931500 135538000 136340000 138248760 141793600 144009125 156390000 162645600 163608000 166164375 169422500 172380000 172810950 177242000 184331680 203307000 204510000 208520000 212690400 221198016 221552500 230414600 254133750 265863000 271076000 272680000 276497520 288018250 312780000 325291200 332328750 338845000 344760000 345621900 354484000 368663360 406614000 409020000 425380800 432027375 443105000 460829200 508267500 531726000 542152000 552995040 576036500 625560000 664657500 677690000 691243800 708968000 720045625 813228000 818040000 864054750 886210000 921658400 1016535000 1063452000 1105990080 1152073000 1329315000 1355380000 1382487600 1440091250 1626456000 1728109500 1772420000 1843316800 2033070000 2126904000 2160136875 2304146000 2658630000 2710760000 2764975200 2880182500 3456219000 3544840000 4066140000 4320273750 4608292000 5317260000 5529950400 5760365000 6912438000 8132280000 8640547500 9216584000 10634520000 11520730000 13824876000 17281095000 23041460000 27649752000 34562190000 46082920000 69124380000 138248760000
- Sum of all divisors σ(n): 525368940624
- Sum of proper divisors (its aliquot sum) s(n): 387120180624
- 138248760000 is an abundant number, because the sum of its proper divisors (387120180624) is greater than itself. Its abundance is 248871420624
Bases of 138248760000
- Binary: 100000001100000100010010101010110000002
- Hexadecimal: 0x203044AAC0
- Base-36: 1RIDQPXC
Squares and roots of 138248760000
- 138248760000 squared (1382487600002) is 19112719641537600000000
- 138248760000 cubed (1382487600003) is 2642309790670217693376000000000000
-
The
square root of 138248760000 is 371818.1813736385 -
The
cube root of 138248760000 is 5170.7524716393
Scales and comparisons
How big is 138248760000?- 138,248,760,000 seconds is equal to 4,395 years, 45 weeks, 6 days, 9 hours, 20 minutes.
-
To count from 1 to 138,248,760,000 would take you about eight thousand, seven hundred ninety-one 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 138248760000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138248760000
- 138248760000 backwards is 000067842831
- 138248760000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138248760000's digits is 39
- More coming soon!
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