10401004928000
10,401,004,928,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 10401004928000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
10401004928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 10401004928000:
210 × 53 × 192 × 31 × 53 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 31 × 53 × 137)See below for interesting mathematical facts about the number 10401004928000 from the Numbermatics database.
Names of 10401004928000
- Cardinal: 10401004928000 can be written as Ten trillion, four hundred one billion, four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.0401004928 × 1013
Factors of 10401004928000
Divisors of 10401004928000
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 53 62 64 76 80 95 100 106 124 125 128 137 152 155 160 190 200 212 248 250 256 265 274 304 310 320 361 380 400 424 475 496 500 512 530 548 589 608 620 640 685 722 760 775 800 848 950 992 1000 1007 1024 1060 1096 1178 1216 1240 1280 1325 1370 1444 1520 1550 1600 1643 1696 1805 1900 1984 2000 2014 2120 2192 2356 2375 2432 2480 2560 2603 2650 2740 2888 2945 3040 3100 3200 3286 3392 3425 3610 3800 3875 3968 4000 4028 4240 4247 4384 4712 4750 4864 4960 5035 5120 5206 5300 5480 5776 5890 6080 6200 6400 6572 6625 6784 6850 7220 7261 7600 7750 7936 8000 8056 8215 8480 8494 8768 9025 9424 9500 9728 9920 10070 10412 10600 10960 11191 11552 11780 12160 12400 12800 13015 13144 13250 13568 13700 14440 14522 14725 15200 15500 15872 16000 16112 16430 16960 16988 17125 17536 18050 18848 19000 19133 19456 19840 20140 20824 21200 21235 21920 22382 23104 23560 24320 24800 25175 25600 26030 26288 26500 27136 27400 28880 29044 29450 30400 31000 31217 31744 32000 32224 32860 33920 33976 34250 35072 36100 36305 37696 38000 38266 39680 40280 41075 41648 42400 42470 43840 44764 45125 46208 47120 48640 49457 49600 50350 52060 52576 53000 54272 54800 55955 57760 58088 58900 60800 62000 62434 64000 64448 65075 65720 67840 67952 68500 70144 72200 72610 73625 75392 76000 76532 79360 80560 80693 82150 83296 84800 84940 87680 89528 90250 92416 94240 95665 97280 98914 99200 100700 104120 105152 106000 106175 109600 111910 115520 116176 117800 121600 124000 124868 125875 128000 128896 130150 131440 135680 135904 137000 137959 140288 144400 145220 147250 150784 152000 153064 156085 158720 161120 161386 164300 166592 169600 169880 175360 179056 180500 181525 184832 188480 191330 197828 198400 201400 205375 208240 210304 212000 212350 219200 223820 225091 231040 232352 235600 243200 247285 248000 249736 251750 257792 260300 262880 271360 271808 274000 275918 279775 288800 290440 294500 301568 304000 306128 312170 322240 322772 325375 328600 333184 339200 339760 350720 358112 361000 363050 369664 376960 382660 395656 396800 402800 403465 410750 416480 420608 424000 424700 438400 447640 450182 462080 464704 471200 478325 486400 494570 496000 499472 503500 515584 520600 525760 530875 543616 548000 551836 559550 577600 580880 589000 593123 603136 608000 612256 624340 644480 645544 650750 657200 666368 678400 679520 689795 701440 716224 722000 726100 753920 765320 780425 791312 793600 805600 806930 821500 832960 841216 848000 849400 876800 895280 900364 907625 924160 929408 942400 956650 989140 992000 998944 1007000 1031168 1041200 1051520 1061750 1087232 1096000 1103672 1119100 1125455 1155200 1161760 1178000 1186246 1216000 1224512 1236425 1248680 1288960 1291088 1301500 1314400 1332736 1356800 1359040 1379590 1398875 1432448 1444000 1452200 1507840 1530640 1533167 1560850 1582624 1611200 1613860 1643000 1665920 1682432 1696000 1698800 1753600 1790560 1800728 1815250 1848320 1858816 1884800 1913300 1978280 1984000 1997888 2014000 2017325 2082400 2103040 2123500 2174464 2192000 2207344 2238200 2250910 2310400 2323520 2356000 2372492 2391625 2432000 2449024 2472850 2497360 2577920 2582176 2603000 2621221 2628800 2665472 2718080 2759180 2797750 2864896 2888000 2904400 2965615 3015680 3061280 3066334 3121700 3165248 3222400 3227720 3286000 3331840 3392000 3397600 3448975 3507200 3581120 3601456 3630500 3717632 3769600 3826600 3902125 3956560 3968000 3995776 4028000 4034650 4164800 4206080 4247000 4276729 4348928 4384000 4414688 4476400 4501820 4620800 4647040 4712000 4744984 4783250 4898048 4945700 4994720 5155840 5164352 5206000 5242442 5257600 5436160 5518360 5595500 5627275 5729792 5776000 5808800 5931230 6122560 6132668 6182125 6243400 6330496 6444800 6455440 6572000 6663680 6784000 6795200 6897950 7162240 7202912 7261000 7435264 7539200 7653200 7665835 7804250 7913120 7991552 8056000 8069300 8329600 8412160 8494000 8553458 8768000 8829376 8952800 9003640 9241600 9294080 9424000 9489968 9566500 9796096 9891400 9989440 10086625 10328704 10412000 10484884 10515200 10872320 11036720 11191000 11254550 11459584 11552000 11617600 11862460 12245120 12265336 12364250 12486800 12660992 12889600 12910880 13106105 13144000 13327360 13590400 13795900 14324480 14405824 14522000 14828075 15078400 15306400 15331670 15608500 15826240 15983104 16112000 16138600 16659200 16988000 17106916 17244875 17536000 17658752 17905600 18007280 18588160 18848000 18979936 19133000 19592192 19782800 19978880 20173250 20657408 20824000 20969768 21030400 21383645 21744640 22073440 22382000 22509100 23104000 23235200 23724920 24490240 24530672 24728500 24973600 25321984 25779200 25821760 26212210 26288000 27180800 27591800 28136375 28648960 28811648 29044000 29656150 30612800 30663340 31217000 31652480 31966208 32224000 32277200 33318400 33976000 34213832 34489750 35317504 35811200 36014560 37176320 37696000 37959872 38266000 38329175 39565600 39957760 40346500 41314816 41648000 41939536 42060800 42767290 44146880 44764000 45018200 46208000 46470400 47449840 48980480 49061344 49457000 49947200 50643968 51643520 52424420 52576000 54361600 55183600 56272750 57297920 57623296 58088000 59312300 61225600 61326680 62434000 63304960 64448000 64554400 65530525 66636800 67952000 68427664 68979500 70635008 71622400 72029120 74140375 75392000 75919744 76532000 76658350 79131200 79915520 80693000 81257851 82629632 83296000 83879072 85534580 88293760 89528000 90036400 92940800 94899680 97960960 98122688 98914000 99894400 103287040 104848840 105152000 106918225 108723200 110367200 112545500 115246592 116176000 118624600 122451200 122653360 124868000 126609920 128896000 129108800 131061050 135904000 136855328 137959000 141270016 143244800 144058240 148280750 151839488 153064000 153316700 158262400 159831040 161386000 162515702 166592000 167758144 171069160 176587520 179056000 180072800 185881600 189799360 191645875 196245376 197828000 199788800 206574080 209697680 210304000 213836450 220734400 225091000 230493184 232352000 237249200 244902400 245306720 249736000 253219840 258217600 262122100 271808000 273710656 275918000 286489600 288116480 296561500 303678976 306128000 306633400 316524800 322772000 325031404 327652625 333184000 335516288 342138320 353175040 358112000 360145600 379598720 383291750 392490752 395656000 399577600 406289255 413148160 419395360 427672900 441468800 450182000 464704000 474498400 489804800 490613440 499472000 516435200 524244200 534591125 543616000 547421312 551836000 576232960 593123000 607357952 612256000 613266800 633049600 645544000 650062808 655305250 671032576 684276640 706350080 716224000 720291200 759197440 766583500 784981504 791312000 799155200 812578510 838790720 855345800 882937600 900364000 929408000 948996800 981226880 998944000 1032870400 1048488400 1069182250 1094842624 1103672000 1152465920 1186246000 1224512000 1226533600 1266099200 1291088000 1300125616 1310610500 1342065152 1368553280 1432448000 1440582400 1518394880 1533167000 1569963008 1582624000 1625157020 1677581440 1710691600 1765875200 1800728000 1897993600 1962453760 1997888000 2031446275 2065740800 2096976800 2138364500 2189685248 2207344000 2372492000 2449024000 2453067200 2582176000 2600251232 2621221000 2684130304 2737106560 2881164800 3036789760 3066334000 3165248000 3250314040 3355162880 3421383200 3531750400 3601456000 3795987200 3924907520 3995776000 4062892550 4193953600 4276729000 4379370496 4414688000 4744984000 4906134400 5164352000 5200502464 5242442000 5474213120 5762329600 6132668000 6330496000 6500628080 6710325760 6842766400 7202912000 7591974400 7849815040 8125785100 8387907200 8553458000 8829376000 9489968000 9812268800 10157231375 10328704000 10401004928 10484884000 10948426240 12265336000 13001256160 13420651520 13685532800 14405824000 15183948800 16251570200 16775814400 17106916000 17658752000 18979936000 19624537600 20314462750 20802009856 20969768000 21896852480 24530672000 26002512320 27371065600 28811648000 32503140400 33551628800 34213832000 37959872000 39249075200 40628925500 41604019712 41939536000 49061344000 52005024640 54742131200 65006280800 67103257600 68427664000 75919744000 81257851000 83208039424 83879072000 98122688000 104010049280 109484262400 130012561600 136855328000 162515702000 167758144000 196245376000 208020098560 260025123200 273710656000 325031404000 335516288000 416040197120 520050246400 547421312000 650062808000 1040100492800 1300125616000 2080200985600 2600251232000 5200502464000 10401004928000
- Sum of all divisors σ(n): 29012839884288
- Sum of proper divisors (its aliquot sum) s(n): 18611834956288
- 10401004928000 is an abundant number, because the sum of its proper divisors (18611834956288) is greater than itself. Its abundance is 8210830028288
Bases of 10401004928000
- Binary: 100101110101101011000011010000111100000000002
- Hexadecimal: 0x975AC343C00
- Base-36: 3OQ5LSDFK
Squares and roots of 10401004928000
- 10401004928000 squared (104010049280002) is 108180903512280285184000000
- 10401004928000 cubed (104010049280003) is 1125190110546719754716029386752000000000
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The
square root of 10401004928000 is 3225058.9030279743 -
The
cube root of 10401004928000 is 21828.5606970829
Scales and comparisons
How big is 10401004928000?- 10,401,004,928,000 seconds is equal to 330,719 years, 40 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 10,401,004,928,000 would take you about eight hundred twenty-six thousand, seven hundred ninety-nine 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 10401004928000 cubic inches would be around 1819 feet tall.
Recreational maths with 10401004928000
- 10401004928000 backwards is 00082940010401
- The number of decimal digits it has is: 14
- The sum of 10401004928000's digits is 29
- More coming soon!
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The information we have on file for 10401004928000 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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