1045319424000
1,045,319,424,000 is an even composite number composed of six prime numbers multiplied together.
1045319424000 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 1045319424000:
211 × 3 × 53 × 53 × 61 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 61 × 421)See below for interesting mathematical facts about the number 1045319424000 from the Numbermatics database.
Names of 1045319424000
- Cardinal: 1045319424000 can be written as One trillion, forty-five billion, three hundred nineteen million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.045319424 × 1012
Factors of 1045319424000
Divisors of 1045319424000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 61 64 75 80 96 100 106 120 122 125 128 150 159 160 183 192 200 212 240 244 250 256 265 300 305 318 320 366 375 384 400 421 424 480 488 500 512 530 600 610 636 640 732 750 768 795 800 842 848 915 960 976 1000 1024 1060 1200 1220 1263 1272 1280 1325 1464 1500 1525 1536 1590 1600 1684 1696 1830 1920 1952 2000 2048 2105 2120 2400 2440 2526 2544 2560 2650 2928 3000 3050 3072 3180 3200 3233 3368 3392 3660 3840 3904 3975 4000 4210 4240 4575 4800 4880 5052 5088 5120 5300 5856 6000 6100 6144 6315 6360 6400 6466 6625 6736 6784 7320 7625 7680 7808 7950 8000 8420 8480 9150 9600 9699 9760 10104 10176 10240 10525 10600 11712 12000 12200 12630 12720 12800 12932 13250 13472 13568 14640 15250 15360 15616 15900 16000 16165 16840 16960 18300 19200 19398 19520 19875 20208 20352 21050 21200 22313 22875 23424 24000 24400 25260 25440 25600 25681 25864 26500 26944 27136 29280 30500 30720 31232 31575 31800 32000 32330 33680 33920 36600 38400 38796 39040 39750 40416 40704 42100 42400 44626 45750 46848 48000 48495 48800 50520 50880 51200 51362 51728 52625 53000 53888 54272 58560 61000 62464 63150 63600 64000 64660 66939 67360 67840 73200 76800 77043 77592 78080 79500 80825 80832 81408 84200 84800 89252 91500 93696 96000 96990 97600 101040 101760 102724 103456 105250 106000 107776 108544 111565 117120 122000 124928 126300 127200 128000 128405 129320 133878 134720 135680 146400 153600 154086 155184 156160 157875 159000 161650 161664 162816 168400 169600 178504 183000 187392 192000 193980 195200 202080 203520 205448 206912 210500 212000 215552 223130 234240 242475 244000 252600 254400 256000 256810 258640 267756 269440 271360 292800 308172 310368 312320 315750 318000 323300 323328 325632 334695 336800 339200 357008 366000 374784 384000 385215 387960 390400 404125 404160 407040 410896 413824 421000 424000 431104 446260 468480 484950 488000 505200 508800 513620 517280 535512 538880 542720 557825 585600 616344 620736 624640 631500 636000 642025 646600 646656 669390 673600 678400 714016 732000 768000 770430 775920 780800 808250 808320 814080 821792 827648 842000 848000 862208 892520 936960 969900 976000 1010400 1017600 1027240 1034560 1071024 1077760 1115650 1171200 1212375 1232688 1241472 1263000 1272000 1284050 1293200 1293312 1338780 1347200 1356800 1361093 1428032 1464000 1540860 1551840 1561600 1616500 1616640 1628160 1643584 1655296 1673475 1684000 1696000 1785040 1873920 1926075 1939800 1952000 2020800 2035200 2054480 2069120 2142048 2155520 2231300 2342400 2424750 2465376 2482944 2526000 2544000 2568100 2586400 2586624 2677560 2694400 2713600 2722186 2789125 2856064 2928000 3081720 3103680 3123200 3210125 3233000 3233280 3287168 3310592 3346950 3368000 3392000 3570080 3852150 3879600 3904000 4041600 4070400 4083279 4108960 4138240 4284096 4311040 4462600 4684800 4849500 4930752 4965888 5052000 5088000 5136200 5172800 5355120 5388800 5444372 5578250 5712128 5856000 6163440 6207360 6420250 6466000 6466560 6574336 6621184 6693900 6736000 6784000 6805465 7140160 7704300 7759200 7808000 8083200 8140800 8166558 8217920 8276480 8367375 8568192 8925200 9369600 9630375 9699000 9861504 9931776 10104000 10176000 10272400 10345600 10710240 10777600 10888744 11156500 11424256 11712000 12326880 12414720 12840500 12932000 12933120 13148672 13387800 13472000 13568000 13610930 14280320 15408600 15518400 15616000 16166400 16333116 16435840 16552960 16734750 17136384 17850400 19260750 19398000 19723008 19863552 20208000 20352000 20416395 20544800 20691200 21420480 21555200 21777488 22313000 22848512 23424000 24653760 24829440 25681000 25864000 26297344 26775600 26944000 27221860 28560640 30817200 31036800 32332800 32666232 32871680 33105920 33469500 34027325 34272768 35700800 38521500 38796000 39446016 40416000 40704000 40832790 41089600 41382400 42840960 43554976 44626000 45697024 46848000 49307520 49658880 51362000 51728000 52594688 53551200 53888000 54443720 57121280 61634400 62073600 64665600 65332464 65743360 66939000 68054650 68545536 71401600 77043000 77592000 78892032 80832000 81665580 82179200 82764800 85681920 87109952 89252000 98615040 99317760 102081975 102724000 103456000 107102400 107776000 108887440 114242560 123268800 124147200 130664928 131486720 133878000 136109300 137091072 142803200 154086000 155184000 157784064 161664000 163331160 164358400 165529600 170136625 171363840 174219904 178504000 197230080 204163950 205448000 206912000 214204800 217774880 228485120 246537600 248294400 261329856 262973440 267756000 272218600 285606400 308172000 310368000 323328000 326662320 328716800 340273250 342727680 348439808 357008000 394460160 408327900 410896000 413824000 428409600 435549760 493075200 496588800 510409875 522659712 535512000 544437200 571212800 616344000 620736000 653324640 657433600 680546500 685455360 696879616 714016000 788920320 816655800 821792000 827648000 856819200 871099520 986150400 1020819750 1045319424 1071024000 1088874400 1142425600 1232688000 1241472000 1306649280 1314867200 1361093000 1393759232 1428032000 1633311600 1643584000 1713638400 1742199040 1972300800 2041639500 2090638848 2142048000 2177748800 2465376000 2482944000 2613298560 2722186000 2787518464 2856064000 3266623200 3287168000 3427276800 3484398080 3944601600 4083279000 4181277696 4284096000 4355497600 4930752000 5226597120 5444372000 5712128000 6533246400 6574336000 6968796160 8166558000 8362555392 8568192000 8710995200 9861504000 10453194240 10888744000 13066492800 13937592320 16333116000 17136384000 17421990400 19723008000 20906388480 21777488000 26132985600 32666232000 34843980800 41812776960 43554976000 52265971200 65332464000 69687961600 87109952000 104531942400 130664928000 174219904000 209063884800 261329856000 348439808000 522659712000 1045319424000
- Sum of all divisors σ(n): 3610242679680
- Sum of proper divisors (its aliquot sum) s(n): 2564923255680
- 1045319424000 is an abundant number, because the sum of its proper divisors (2564923255680) is greater than itself. Its abundance is 1519603831680
Bases of 1045319424000
- Binary: 11110011011000011110010010011000000000002
- Hexadecimal: 0xF361E49800
- Base-36: DC7O71MO
Squares and roots of 1045319424000
- 1045319424000 squared (10453194240002) is 1092692698191691776000000
- 1045319424000 cubed (10453194240003) is 1142212901882745088873857024000000000
-
The
square root of 1045319424000 is 1022408.6384611585 -
The
cube root of 1045319424000 is 10148.8384670651
Scales and comparisons
How big is 1045319424000?- 1,045,319,424,000 seconds is equal to 33,237 years, 48 weeks, 10 hours, 40 minutes.
-
To count from 1 to 1,045,319,424,000 would take you about eighty-three thousand and ninety-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 1045319424000 cubic inches would be around 845.7 feet tall.
Recreational maths with 1045319424000
- 1045319424000 backwards is 0004249135401
- The number of decimal digits it has is: 13
- The sum of 1045319424000's digits is 33
- More coming soon!
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