3128693328000
3,128,693,328,000 is an even composite number composed of six prime numbers multiplied together.
3128693328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3128693328000:
27 × 32 × 53 × 17 × 257 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 257 × 4973)See below for interesting mathematical facts about the number 3128693328000 from the Numbermatics database.
Names of 3128693328000
- Cardinal: 3128693328000 can be written as Three trillion, one hundred twenty-eight billion, six hundred ninety-three million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.128693328 × 1012
Factors of 3128693328000
Divisors of 3128693328000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 150 153 160 170 180 192 200 204 225 240 250 255 257 272 288 300 306 320 340 360 375 384 400 408 425 450 480 500 510 514 544 576 600 612 640 680 720 750 765 771 800 816 850 900 960 1000 1020 1028 1088 1125 1152 1200 1224 1275 1285 1360 1440 1500 1530 1542 1600 1632 1700 1800 1920 2000 2040 2056 2125 2176 2250 2313 2400 2448 2550 2570 2720 2880 3000 3060 3084 3200 3264 3400 3600 3825 3855 4000 4080 4112 4250 4369 4500 4626 4800 4896 4973 5100 5140 5440 5760 6000 6120 6168 6375 6425 6528 6800 7200 7650 7710 8000 8160 8224 8500 8738 9000 9252 9600 9792 9946 10200 10280 10880 11565 12000 12240 12336 12750 12850 13107 13600 14400 14919 15300 15420 16000 16320 16448 17000 17476 18000 18504 19125 19275 19584 19892 20400 20560 21845 23130 24000 24480 24672 24865 25500 25700 26214 27200 28800 29838 30600 30840 32125 32640 32896 34000 34952 36000 37008 38250 38550 39321 39784 40800 41120 43690 44757 46260 48000 48960 49344 49730 51000 51400 52428 54400 57825 59676 61200 61680 64250 65535 68000 69904 72000 74016 74595 76500 77100 78642 79568 81600 82240 84541 87380 89514 92520 96375 97920 98688 99460 102000 102800 104856 109225 115650 119352 122400 123360 124325 128500 131070 136000 139808 144000 148032 149190 153000 154200 157284 159136 163200 164480 169082 174760 179028 185040 192750 196605 198920 204000 205600 209712 218450 223785 231300 238704 244800 246720 248650 253623 257000 262140 272000 279616 289125 296064 298380 306000 308400 314568 318272 327675 338164 349520 358056 370080 372975 385500 393210 397840 408000 411200 419424 422705 436900 447570 462600 477408 489600 493440 497300 507246 514000 524280 546125 559232 578250 596760 612000 616800 621625 629136 636544 655350 676328 699040 716112 740160 745950 760869 771000 786420 795680 816000 822400 838848 845410 873800 895140 925200 954816 983025 994600 1014492 1028000 1048560 1092250 1118925 1156500 1193520 1224000 1233600 1243250 1258272 1268115 1278061 1310700 1352656 1398080 1432224 1480320 1491900 1521738 1542000 1572840 1591360 1638375 1677696 1690820 1747600 1790280 1850400 1864875 1909632 1966050 1989200 2028984 2056000 2097120 2113525 2184500 2237850 2313000 2387040 2448000 2467200 2486500 2516544 2536230 2556122 2621400 2705312 2796160 2864448 2983800 3043476 3084000 3145680 3182720 3276750 3381640 3495200 3580560 3700800 3729750 3804345 3834183 3932100 3978400 4057968 4112000 4194240 4227050 4369000 4475700 4626000 4774080 4915125 4973000 5033088 5072460 5112244 5242800 5410624 5594625 5728896 5967600 6086952 6168000 6291360 6340575 6390305 6553500 6763280 6990400 7161120 7401600 7459500 7608690 7668366 7864200 7956800 8115936 8388480 8454100 8738000 8951400 9252000 9548160 9830250 9946000 10144920 10224488 10485600 10567625 10821248 11189250 11502549 11935200 12173904 12336000 12582720 12681150 12780610 13107000 13526560 13980800 14322240 14919000 15217380 15336732 15728400 15913600 16231872 16908200 17476000 17902800 18504000 19021725 19170915 19660500 19892000 20289840 20448976 20971200 21135250 21727037 22378500 23005098 23870400 24347808 25165440 25362300 25561220 26214000 27053120 28644480 29838000 30434760 30673464 31456800 31702875 31951525 32463744 33816400 34952000 35805600 37008000 38043450 38341830 39321000 39784000 40579680 40897952 41942400 42270500 43454074 44757000 46010196 47740800 48695616 50724600 51122440 52428000 54106240 57512745 59676000 60869520 61346928 62913600 63405750 63903050 65181111 67632800 69904000 71611200 76086900 76683660 78642000 79568000 81159360 81795904 84541000 86908148 89514000 92020392 95108625 95854575 97391232 101449200 102244880 104856000 108635185 115025490 119352000 121739040 122693856 125827200 126811500 127806100 130362222 135265600 143222400 152173800 153367320 157284000 159757625 162318720 163591808 169082000 173816296 179028000 184040784 190217250 191709150 195543333 202898400 204489760 209712000 217270370 230050980 238704000 243478080 245387712 253623000 255612200 260724444 270531200 287563725 304347600 306734640 314568000 319515250 325905555 338164000 347632592 358056000 368081568 380434500 383418300 391086666 405796800 408979520 434540740 460101960 479272875 486956160 490775424 507246000 511224400 521448888 543175925 575127450 608695200 613469280 629136000 639030500 651811110 676328000 695265184 716112000 736163136 760869000 766836600 782173332 811593600 817959040 869081480 920203920 958545750 977716665 1014492000 1022448800 1042897776 1086351850 1150254900 1217390400 1226938560 1278061000 1303622220 1352656000 1390530368 1437818625 1472326272 1521738000 1533673200 1564346664 1629527775 1738162960 1840407840 1917091500 1955433330 2028984000 2044897600 2085795552 2172703700 2300509800 2434780800 2453877120 2556122000 2607244440 2715879625 2781060736 2875637250 3043476000 3067346400 3128693328 3259055550 3476325920 3680815680 3834183000 3910866660 4057968000 4089795200 4171591104 4345407400 4601019600 4888583325 5112244000 5214488880 5431759250 5751274500 6086952000 6134692800 6257386656 6518111100 6952651840 7361631360 7668366000 7821733320 8147638875 8343182208 8690814800 9202039200 9777166650 10224488000 10428977760 10863518500 11502549000 12173904000 12269385600 12514773312 13036222200 13905303680 15336732000 15643466640 16295277750 17381629600 18404078400 19554333300 20448976000 20857955520 21727037000 23005098000 24442916625 25029546624 26072444400 30673464000 31286933280 32590555500 34763259200 36808156800 39108666600 41715911040 43454074000 46010196000 48885833250 52144888800 61346928000 62573866560 65181111000 69526518400 78217333200 86908148000 92020392000 97771666500 104289777600 125147733120 130362222000 156434666400 173816296000 184040784000 195543333000 208579555200 260724444000 312869332800 347632592000 391086666000 521448888000 625738665600 782173332000 1042897776000 1564346664000 3128693328000
- Sum of all divisors σ(n): 11945549247840
- Sum of proper divisors (its aliquot sum) s(n): 8816855919840
- 3128693328000 is an abundant number, because the sum of its proper divisors (8816855919840) is greater than itself. Its abundance is 5688162591840
Bases of 3128693328000
- Binary: 1011011000011101001010011110001000100000002
- Hexadecimal: 0x2D874A78880
- Base-36: 13XAV8680
Squares and roots of 3128693328000
- 3128693328000 squared (31286933280002) is 9788721940671715584000000
- 3128693328000 cubed (31286933280003) is 30625909025426808385974423552000000000
-
The
square root of 3128693328000 is 1768811.2754050387 -
The
cube root of 3128693328000 is 14625.8460803529
Scales and comparisons
How big is 3128693328000?- 3,128,693,328,000 seconds is equal to 99,482 years, 40 weeks, 8 hours.
-
To count from 1 to 3,128,693,328,000 would take you about two hundred forty-eight thousand, seven hundred six 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 3128693328000 cubic inches would be around 1218.8 feet tall.
Recreational maths with 3128693328000
- 3128693328000 backwards is 0008233968213
- 3128693328000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3128693328000's digits is 45
- More coming soon!
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