830400224000
830,400,224,000 is an even composite number composed of six prime numbers multiplied together.
830400224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 830400224000:
28 × 53 × 17 × 31 × 41 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 31 × 41 × 1201)See below for interesting mathematical facts about the number 830400224000 from the Numbermatics database.
Names of 830400224000
- Cardinal: 830400224000 can be written as Eight hundred thirty billion, four hundred million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 8.30400224 × 1011
Factors of 830400224000
Divisors of 830400224000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 41 50 62 64 68 80 82 85 100 124 125 128 136 155 160 164 170 200 205 248 250 256 272 310 320 328 340 400 410 425 496 500 527 544 620 640 656 680 697 775 800 820 850 992 1000 1025 1054 1088 1201 1240 1271 1280 1312 1360 1394 1550 1600 1640 1700 1984 2000 2050 2108 2125 2176 2402 2480 2542 2624 2635 2720 2788 3100 3200 3280 3400 3485 3875 3968 4000 4100 4216 4250 4352 4804 4960 5084 5125 5248 5270 5440 5576 6005 6200 6355 6400 6560 6800 6970 7750 7936 8000 8200 8432 8500 9608 9920 10168 10250 10496 10540 10880 11152 12010 12400 12710 13120 13175 13600 13940 15500 16000 16400 16864 17000 17425 19216 19840 20336 20417 20500 21080 21607 21760 22304 24020 24800 25420 26240 26350 27200 27880 30025 31000 31775 32000 32800 33728 34000 34850 37231 38432 39680 40672 40834 41000 42160 43214 44608 48040 49241 49600 50840 52480 52700 54400 55760 60050 62000 63550 65600 65875 67456 68000 69700 74462 76864 81344 81668 82000 84320 86428 87125 89216 96080 98482 99200 101680 102085 105400 108035 108800 111520 120100 124000 127100 131200 131750 134912 136000 139400 148924 150125 153728 158875 162688 163336 164000 168640 172856 174250 178432 186155 192160 196964 198400 203360 204170 210800 216070 223040 240200 246205 248000 254200 262400 263500 272000 278800 297848 300250 307456 317750 325376 326672 328000 337280 345712 348500 372310 384320 393928 406720 408340 421600 432140 446080 480400 492410 496000 508400 510425 527000 540175 544000 557600 595696 600500 632927 635500 653344 656000 674560 691424 697000 744620 768640 787856 813440 816680 837097 843200 864280 892160 930775 960800 984820 992000 1016800 1020850 1054000 1080350 1115200 1191392 1201000 1231025 1265854 1271000 1306688 1312000 1382848 1394000 1489240 1526471 1537280 1575712 1626880 1633360 1674194 1686400 1728560 1861550 1921600 1969640 2033600 2041700 2108000 2160700 2230400 2382784 2402000 2462050 2531708 2542000 2552125 2613376 2700875 2765696 2788000 2978480 3052942 3151424 3164635 3266720 3348388 3372800 3457120 3723100 3843200 3939280 4067200 4083400 4185485 4216000 4321400 4460800 4653875 4765568 4804000 4924100 5063416 5084000 5104250 5226752 5401750 5531392 5576000 5956960 6105884 6155125 6302848 6329270 6533440 6696776 6914240 7446200 7632355 7686400 7878560 8134400 8166800 8370970 8432000 8642800 9307750 9531136 9608000 9848200 10126832 10168000 10208500 10803500 11152000 11913920 12211768 12310250 12605696 12658540 13066880 13393552 13828480 14892400 15264710 15757120 15823175 16333600 16741940 16864000 17285600 18615500 19216000 19696400 20253664 20336000 20417000 20927425 21607000 22304000 23827840 24423536 24620500 25317080 25950007 26133760 26787104 27656960 29784800 30529420 31514240 31646350 32667200 33483880 34571200 37231000 38161775 38432000 39392800 40507328 40672000 40834000 41854850 43214000 47655680 48847072 49241000 50634160 51900014 53574208 59569600 61058840 63028480 63292700 65334400 66967760 69142400 74462000 76323550 78785600 79115875 81014656 81668000 83709700 86428000 97694144 98482000 101268320 103800028 104637125 107148416 119139200 122117680 126585400 129750035 130668800 133935520 138284800 148924000 152647100 157571200 158231750 162029312 163336000 167419400 172856000 190808875 195388288 196964000 202536640 207600056 209274250 214296832 238278400 244235360 253170800 259500070 267871040 297848000 305294200 315142400 316463500 326672000 334838800 345712000 381617750 390776576 393928000 405073280 415200112 418548500 488470720 506341600 519000140 535742080 595696000 610588400 632927000 648750175 653344000 669677600 691424000 763235500 787856000 810146560 830400224 837097000 976941440 1012683200 1038000280 1071484160 1191392000 1221176800 1265854000 1297500350 1339355200 1526471000 1575712000 1660800448 1674194000 1953882880 2025366400 2076000560 2442353600 2531708000 2595000700 2678710400 3052942000 3243750875 3321600896 3348388000 4050732800 4152001120 4884707200 5063416000 5190001400 5357420800 6105884000 6487501750 6643201792 6696776000 8304002240 9769414400 10126832000 10380002800 12211768000 12975003500 13393552000 16608004480 20253664000 20760005600 24423536000 25950007000 26787104000 33216008960 41520011200 48847072000 51900014000 83040022400 103800028000 166080044800 207600056000 415200112000 830400224000
- Sum of all divisors σ(n): 2318044345344
- Sum of proper divisors (its aliquot sum) s(n): 1487644121344
- 830400224000 is an abundant number, because the sum of its proper divisors (1487644121344) is greater than itself. Its abundance is 657243897344
Bases of 830400224000
- Binary: 11000001010101111011010111011011000000002
- Hexadecimal: 0xC157B5DB00
- Base-36: ALHAUPKW
Squares and roots of 830400224000
- 830400224000 squared (8304002240002) is 689564532019250176000000
- 830400224000 cubed (8304002240003) is 572614541851240518462439424000000000
-
The
square root of 830400224000 is 911262.9828979119 -
The
cube root of 830400224000 is 9399.3066638155
Scales and comparisons
How big is 830400224000?- 830,400,224,000 seconds is equal to 26,404 years, 8 weeks, 1 day, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 830,400,224,000 would take you about fifty-two thousand, eight hundred 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 830400224000 cubic inches would be around 783.3 feet tall.
Recreational maths with 830400224000
- 830400224000 backwards is 000422004038
- The number of decimal digits it has is: 12
- The sum of 830400224000's digits is 23
- More coming soon!
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