10830380400
10,830,380,400 is an even composite number composed of six prime numbers multiplied together.
10830380400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 10830380400:
24 × 34 × 52 × 7 × 17 × 532
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 53 × 53)See below for interesting mathematical facts about the number 10830380400 from the Numbermatics database.
Names of 10830380400
- Cardinal: 10830380400 can be written as Ten billion, eight hundred thirty million, three hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.08303804 × 1010
Factors of 10830380400
Divisors of 10830380400
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 34 35 36 40 42 45 48 50 51 53 54 56 60 63 68 70 72 75 80 81 84 85 90 100 102 105 106 108 112 119 120 126 135 136 140 144 150 153 159 162 168 170 175 180 189 200 204 210 212 216 225 238 240 252 255 265 270 272 280 300 306 315 318 324 336 340 350 357 360 371 378 400 405 408 420 424 425 432 450 459 476 477 504 510 525 530 540 560 567 595 600 612 630 636 648 675 680 700 714 720 742 756 765 795 810 816 840 848 850 900 901 918 945 952 954 1008 1020 1050 1060 1071 1080 1113 1134 1190 1200 1224 1260 1272 1275 1296 1325 1350 1360 1377 1400 1428 1431 1484 1512 1530 1575 1590 1620 1680 1700 1785 1800 1802 1836 1855 1890 1904 1908 2025 2040 2100 2120 2142 2160 2226 2268 2295 2380 2385 2448 2520 2544 2550 2650 2700 2703 2754 2800 2809 2835 2856 2862 2968 2975 3024 3060 3150 3180 3213 3240 3339 3400 3570 3600 3604 3672 3710 3780 3816 3825 3975 4050 4080 4200 4240 4284 4293 4452 4505 4536 4590 4725 4760 4770 5040 5100 5300 5355 5400 5406 5508 5565 5618 5670 5712 5724 5936 5950 6120 6300 6307 6360 6426 6480 6678 6800 6885 7140 7155 7208 7344 7420 7560 7632 7650 7950 8100 8109 8400 8427 8568 8586 8904 8925 9010 9072 9180 9275 9450 9520 9540 9639 10017 10200 10600 10710 10800 10812 11016 11130 11236 11340 11448 11475 11900 11925 12240 12600 12614 12720 12852 13356 13515 13770 14045 14175 14280 14310 14416 14840 15120 15300 15900 16065 16200 16218 16695 16854 17136 17172 17808 17850 18020 18360 18550 18900 18921 19080 19278 19663 20034 20400 21200 21420 21465 21624 22032 22260 22472 22525 22680 22896 22950 23800 23850 24327 25200 25228 25281 25704 26712 26775 27030 27540 27825 28090 28350 28560 28620 29680 30051 30600 31535 31800 32130 32400 32436 33390 33708 34344 34425 35700 35775 36040 36720 37100 37800 37842 38160 38556 39326 40068 40545 42135 42840 42930 43248 44520 44944 45050 45360 45900 47600 47700 47753 48195 48654 50085 50456 50562 51408 53424 53550 54060 55080 55650 56180 56700 56763 57240 58989 60102 61200 63070 63600 64260 64872 66780 67416 67575 68688 68850 70225 71400 71550 72080 72981 74200 75600 75684 75843 77112 78652 80136 80325 81090 83475 84270 85680 85860 89040 90100 91800 94605 95400 95506 96390 97308 98315 100170 100912 101124 107100 107325 108120 110160 111300 112360 113400 113526 114480 117978 120204 121635 126140 126405 128520 129744 133560 134832 135150 137700 140450 142800 143100 143259 145962 148400 150255 151368 151686 154224 157304 157675 160272 160650 162180 166950 168540 170289 171720 176967 180200 183600 189210 190800 191012 192780 194616 196630 200340 202248 202725 210675 214200 214650 216240 222600 224720 226800 227052 227529 235956 238765 240408 240975 243270 250425 252280 252810 257040 267120 270300 275400 280900 283815 286200 286518 291924 294945 300510 302736 303372 314608 315350 321300 324360 333900 334271 337080 340578 343440 353934 360400 364905 378420 379215 382024 385560 389232 393260 400680 404496 405450 421350 428400 429300 429777 445200 454104 455058 471912 473025 477530 480816 481950 486540 491575 500850 504560 505620 510867 530901 540600 550800 561800 567630 572400 573036 583848 589890 601020 606744 608175 630700 632025 642600 648720 667800 668542 674160 681156 707868 716295 729810 751275 756840 758430 764048 771120 786520 801360 810900 842700 851445 858600 859554 884835 908208 910116 943824 946050 955060 963900 973080 983150 1001700 1002813 1011240 1021734 1061802 1081200 1123600 1135260 1137645 1146072 1167696 1179780 1193825 1202040 1213488 1216350 1261400 1264050 1285200 1289331 1335600 1337084 1362312 1415736 1419075 1432590 1459620 1474725 1502550 1513680 1516860 1573040 1592703 1621800 1671355 1685400 1702890 1717200 1719108 1769670 1820232 1824525 1892100 1896075 1910120 1927800 1946160 1966300 2003400 2005626 2022480 2043468 2123604 2148885 2270520 2275290 2292144 2359560 2387650 2404080 2432700 2522800 2528100 2554335 2578662 2654505 2674168 2724624 2831472 2838150 2865180 2919240 2949450 3005100 3008439 3033720 3185406 3243600 3342710 3370800 3405780 3438216 3539340 3581475 3640464 3649050 3784200 3792150 3820240 3855600 3867993 3932600 4006800 4011252 4086936 4247208 4257225 4297770 4424175 4541040 4550580 4719120 4775300 4865400 5014065 5056200 5108670 5157324 5309010 5348336 5676300 5688225 5730360 5838480 5898900 6010200 6016878 6067440 6370812 6446655 6685420 6811560 6876432 7078680 7162950 7298100 7568400 7584300 7735986 7865200 7963515 8022504 8173872 8356775 8494416 8514450 8595540 8848350 9025317 9101160 9550600 9730800 10028130 10112400 10217340 10314648 10618020 10744425 11352600 11376450 11460720 11797800 12020400 12033756 12741624 12771675 12893310 13272525 13370840 13623120 14157360 14325900 14596200 15042195 15168600 15471972 15927030 16045008 16713550 17028900 17191080 17696700 18050634 18202320 19101200 19339965 20056260 20434680 20629296 21236040 21488850 22705200 22752900 23595600 24067512 25070325 25483248 25543350 25786620 26545050 26741680 27075951 28651800 29192400 30084390 30337200 30943944 31854060 32233275 33427100 34057800 34382160 35393400 36101268 38679930 39817575 40112520 40869360 42472080 42977700 45126585 45505800 48135024 50140650 51086700 51573240 53090100 54151902 57303600 60168780 61887888 63708120 64466550 66854200 68115600 70786800 72202536 75210975 77359860 79635150 80225040 85955400 90253170 91011600 96699825 100281300 102173400 103146480 106180200 108303804 120337560 127416240 128933100 133708400 135379755 144405072 150421950 154719720 159270300 171910800 180506340 193399650 200562600 204346800 212360400 216607608 225632925 240675120 257866200 270759510 300843900 309439440 318540600 361012680 386799300 401125200 433215216 451265850 515732400 541519020 601687800 637081200 676898775 722025360 773598600 902531700 1083038040 1203375600 1353797550 1547197200 1805063400 2166076080 2707595100 3610126800 5415190200 10830380400
- Sum of all divisors σ(n): 47939400432
- Sum of proper divisors (its aliquot sum) s(n): 37109020032
- 10830380400 is an abundant number, because the sum of its proper divisors (37109020032) is greater than itself. Its abundance is 26278639632
Bases of 10830380400
- Binary: 10100001011000101001111101011100002
- Hexadecimal: 0x2858A7D70
- Base-36: 4Z44N00
Squares and roots of 10830380400
- 10830380400 squared (108303804002) is 117297139608704160000
- 10830380400 cubed (108303804003) is 1270372641794173203862464000000
-
The
square root of 10830380400 is 104069.1135736247 -
The
cube root of 10830380400 is 2212.4895948951
Scales and comparisons
How big is 10830380400?- 10,830,380,400 seconds is equal to 344 years, 19 weeks, 2 days, 15 hours.
-
To count from 1 to 10,830,380,400 would take you about six hundred eighty-eight 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 10830380400 cubic inches would be around 184.4 feet tall.
Recreational maths with 10830380400
- 10830380400 backwards is 00408303801
- 10830380400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10830380400's digits is 27
- More coming soon!
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