2198383104000
2,198,383,104,000 is an even composite number composed of six prime numbers multiplied together.
2198383104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 2198383104000:
212 × 3 × 53 × 31 × 137 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 137 × 337)See below for interesting mathematical facts about the number 2198383104000 from the Numbermatics database.
Names of 2198383104000
- Cardinal: 2198383104000 can be written as Two trillion, one hundred ninety-eight billion, three hundred eighty-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 2.198383104 × 1012
Factors of 2198383104000
Divisors of 2198383104000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 125 128 137 150 155 160 186 192 200 240 248 250 256 274 300 310 320 337 372 375 384 400 411 465 480 496 500 512 548 600 620 640 674 685 744 750 768 775 800 822 930 960 992 1000 1011 1024 1096 1200 1240 1280 1348 1370 1488 1500 1536 1550 1600 1644 1685 1860 1920 1984 2000 2022 2048 2055 2192 2325 2400 2480 2560 2696 2740 2976 3000 3072 3100 3200 3288 3370 3425 3720 3840 3875 3968 4000 4044 4096 4110 4247 4384 4650 4800 4960 5055 5120 5392 5480 5952 6000 6144 6200 6400 6576 6740 6850 7440 7680 7750 7936 8000 8088 8220 8425 8494 8768 9300 9600 9920 10110 10240 10275 10447 10784 10960 11625 11904 12000 12288 12400 12741 12800 13152 13480 13700 14880 15360 15500 15872 16000 16176 16440 16850 16988 17125 17536 18600 19200 19840 20220 20480 20550 20894 21235 21568 21920 23250 23808 24000 24800 25275 25482 25600 26304 26960 27400 29760 30720 31000 31341 31744 32000 32352 32880 33700 33976 34250 35072 37200 38400 39680 40440 41100 41788 42125 42470 43136 43840 46169 46500 47616 48000 49600 50550 50964 51200 51375 52235 52608 53920 54800 59520 61440 62000 62682 63488 63705 64000 64704 65760 67400 67952 68500 70144 74400 76800 79360 80880 82200 83576 84250 84940 86272 87680 92338 93000 95232 96000 99200 101100 101928 102400 102750 104470 105216 106175 107840 109600 119040 124000 125364 126375 126976 127410 128000 129408 131520 134800 135904 137000 138507 140288 148800 153600 156705 158720 161760 164400 167152 168500 169880 172544 175360 184676 186000 190464 192000 198400 202200 203856 205500 208940 210432 212350 215680 219200 230845 238080 248000 250728 252750 254820 256000 258816 261175 263040 269600 271808 274000 277014 280576 297600 307200 313410 317440 318525 323520 328800 334304 337000 339760 345088 350720 369352 372000 380928 384000 396800 404400 407712 411000 417880 420864 424700 431360 438400 461690 476160 496000 501456 505500 509640 512000 517632 522350 526080 530875 539200 543616 548000 554028 561152 595200 626820 634880 637050 647040 657600 668608 674000 679520 690176 692535 701440 738704 744000 768000 783525 793600 808800 815424 822000 835760 841728 849400 862720 876800 923380 952320 992000 1002912 1011000 1019280 1035264 1044700 1052160 1061750 1078400 1087232 1096000 1108056 1154225 1190400 1253640 1274100 1294080 1305875 1315200 1337216 1348000 1359040 1380352 1385070 1402880 1431239 1477408 1488000 1536000 1567050 1587200 1592625 1617600 1630848 1644000 1671520 1683456 1698800 1725440 1753600 1846760 1904640 1984000 2005824 2022000 2038560 2070528 2089400 2104320 2123500 2156800 2174464 2192000 2216112 2308450 2380800 2507280 2548200 2588160 2611750 2630400 2674432 2696000 2718080 2770140 2805760 2862478 2954816 2976000 3134100 3174400 3185250 3235200 3261696 3288000 3343040 3397600 3450880 3462675 3507200 3693520 3917625 3968000 4011648 4044000 4077120 4141056 4178800 4208640 4247000 4293717 4313600 4348928 4384000 4432224 4616900 4761600 5014560 5096400 5176320 5223500 5260800 5348864 5392000 5436160 5540280 5724956 5771125 5909632 5952000 6268200 6370500 6470400 6523392 6576000 6686080 6795200 6901760 6925350 7014400 7156195 7387040 7835250 7936000 8023296 8088000 8154240 8357600 8417280 8494000 8587434 8627200 8697856 8768000 8864448 9233800 9523200 10029120 10192800 10352640 10447000 10521600 10697728 10784000 10872320 11080560 11449912 11542250 11819264 11904000 12536400 12741000 12940800 13046784 13152000 13372160 13590400 13850700 14028800 14312390 14774080 15670500 15872000 16046592 16176000 16308480 16715200 16988000 17174868 17254400 17313375 17395712 17536000 17728896 18467600 20058240 20385600 20705280 20894000 21043200 21395456 21468585 21568000 21744640 22161120 22899824 23084500 23638528 23808000 25072800 25482000 25881600 26093568 26304000 26744320 27180800 27701400 28624780 29548160 31341000 32093184 32352000 32616960 33430400 33976000 34349736 34508800 34626750 35072000 35457792 35780975 36935200 40116480 40771200 41788000 42086400 42790912 42937170 43136000 43489280 44322240 45799648 46169000 47277056 47616000 50145600 50964000 51763200 52187136 52608000 53488640 54361600 55402800 57249560 59096320 62682000 64186368 64704000 65233920 66860800 67952000 68699472 69253500 70144000 70915584 71561950 73870400 80232960 81542400 83576000 85874340 86272000 86978560 88644480 91599296 92338000 94554112 100291200 101928000 103526400 105216000 106977280 107342925 108723200 110805600 114499120 118192640 125364000 128372736 129408000 130467840 133721600 135904000 137398944 138507000 141831168 143123900 147740800 160465920 163084800 167152000 171748680 172544000 177288960 178904875 183198592 184676000 189108224 200582400 203856000 210432000 213954560 214685850 217446400 221611200 228998240 236385280 250728000 258816000 260935680 267443200 271808000 274797888 277014000 283662336 286247800 295481600 320931840 326169600 334304000 343497360 354577920 357809750 366397184 369352000 401164800 407712000 429371700 434892800 443222400 457996480 472770560 501456000 517632000 534886400 536714625 543616000 549595776 554028000 567324672 572495600 590963200 641863680 652339200 668608000 686994720 709155840 715619500 732794368 738704000 802329600 815424000 858743400 886444800 915992960 945541120 1002912000 1069772800 1073429250 1087232000 1099191552 1108056000 1144991200 1181926400 1304678400 1337216000 1373989440 1418311680 1431239000 1465588736 1477408000 1604659200 1630848000 1717486800 1772889600 1831985920 2005824000 2146858500 2174464000 2198383104 2216112000 2289982400 2363852800 2674432000 2747978880 2836623360 2862478000 2931177472 2954816000 3209318400 3261696000 3434973600 3545779200 3663971840 4011648000 4293717000 4396766208 4432224000 4579964800 4727705600 5348864000 5495957760 5724956000 5862354944 5909632000 6523392000 6869947200 7091558400 7327943680 8023296000 8587434000 8793532416 8864448000 9159929600 10991915520 11449912000 11819264000 13739894400 14183116800 14655887360 16046592000 17174868000 17587064832 17728896000 18319859200 21983831040 22899824000 23638528000 27479788800 29311774720 34349736000 35457792000 36639718400 43967662080 45799648000 54959577600 68699472000 70915584000 73279436800 87935324160 91599296000 109919155200 137398944000 146558873600 183198592000 219838310400 274797888000 366397184000 439676620800 549595776000 732794368000 1099191552000 2198383104000
- Sum of all divisors σ(n): 7628994127872
- Sum of proper divisors (its aliquot sum) s(n): 5430611023872
- 2198383104000 is an abundant number, because the sum of its proper divisors (5430611023872) is greater than itself. Its abundance is 3232227919872
Bases of 2198383104000
- Binary: 111111111110110011101100000010000000000002
- Hexadecimal: 0x1FFD9D81000
- Base-36: S1X8JF9C
Squares and roots of 2198383104000
- 2198383104000 squared (21983831040002) is 4832888271952674816000000
- 2198383104000 cubed (21983831040003) is 10624539920580517403100708864000000000
-
The
square root of 2198383104000 is 1482694.5417043931 -
The
cube root of 2198383104000 is 13002.7274435121
Scales and comparisons
How big is 2198383104000?- 2,198,383,104,000 seconds is equal to 69,901 years, 40 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 2,198,383,104,000 would take you about one hundred seventy-four thousand, seven hundred fifty-four 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 2198383104000 cubic inches would be around 1083.6 feet tall.
Recreational maths with 2198383104000
- 2198383104000 backwards is 0004013838912
- The number of decimal digits it has is: 13
- The sum of 2198383104000's digits is 39
- More coming soon!
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