830890752000
830,890,752,000 is an even composite number composed of six prime numbers multiplied together.
830890752000 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 830890752000:
211 × 3 × 53 × 53 × 137 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 137 × 149)See below for interesting mathematical facts about the number 830890752000 from the Numbermatics database.
Names of 830890752000
- Cardinal: 830890752000 can be written as Eight hundred thirty billion, eight hundred ninety million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 8.30890752 × 1011
Factors of 830890752000
Divisors of 830890752000
- 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 64 75 80 96 100 106 120 125 128 137 149 150 159 160 192 200 212 240 250 256 265 274 298 300 318 320 375 384 400 411 424 447 480 500 512 530 548 596 600 636 640 685 745 750 768 795 800 822 848 894 960 1000 1024 1060 1096 1192 1200 1272 1280 1325 1370 1490 1500 1536 1590 1600 1644 1696 1788 1920 2000 2048 2055 2120 2192 2235 2384 2400 2544 2560 2650 2740 2980 3000 3072 3180 3200 3288 3392 3425 3576 3725 3840 3975 4000 4110 4240 4384 4470 4768 4800 5088 5120 5300 5480 5960 6000 6144 6360 6400 6576 6625 6784 6850 7152 7261 7450 7680 7897 7950 8000 8220 8480 8768 8940 9536 9600 10176 10240 10275 10600 10960 11175 11920 12000 12720 12800 13152 13250 13568 13700 14304 14522 14900 15360 15794 15900 16000 16440 16960 17125 17536 17880 18625 19072 19200 19875 20352 20413 20550 21200 21783 21920 22350 23691 23840 24000 25440 25600 26304 26500 27136 27400 28608 29044 29800 30720 31588 31800 32000 32880 33920 34250 35072 35760 36305 37250 38144 38400 39485 39750 40704 40826 41100 42400 43566 43840 44700 47382 47680 48000 50880 51200 51375 52608 53000 54272 54800 55875 57216 58088 59600 61239 63176 63600 64000 65760 67840 68500 70144 71520 72610 74500 76288 76800 78970 79500 81408 81652 82200 84800 87132 87680 89400 94764 95360 96000 101760 102065 102750 105216 106000 108544 108915 109600 111750 114432 116176 118455 119200 122478 126352 127200 128000 131520 135680 137000 140288 143040 145220 149000 152576 153600 157940 159000 162816 163304 164400 169600 174264 175360 178800 181525 189528 190720 192000 197425 203520 204130 205500 210432 212000 217830 219200 223500 228864 232352 236910 238400 244956 252704 254400 256000 263040 271360 274000 280576 286080 290440 298000 305152 306195 315880 318000 325632 326608 328800 339200 348528 350720 357600 363050 379056 381440 384000 394850 407040 408260 411000 420864 424000 435660 438400 447000 457728 464704 473820 476800 489912 505408 508800 510325 526080 542720 544575 548000 572160 580880 592275 596000 612390 631760 636000 653216 657600 678400 697056 701440 715200 726100 758112 762880 768000 789700 814080 816520 822000 841728 848000 871320 876800 894000 907625 915456 929408 947640 953600 979824 987125 1010816 1017600 1020650 1052160 1081889 1089150 1096000 1144320 1161760 1184550 1192000 1224780 1263520 1272000 1306432 1315200 1356800 1394112 1402880 1430400 1452200 1516224 1525760 1530975 1579400 1628160 1633040 1644000 1696000 1742640 1753600 1788000 1815250 1858816 1895280 1907200 1959648 1974250 2021632 2035200 2041300 2104320 2163778 2178300 2192000 2288640 2323520 2369100 2384000 2449560 2527040 2544000 2551625 2612864 2630400 2713600 2722875 2788224 2860800 2904400 2961375 3032448 3061950 3158800 3245667 3266080 3288000 3392000 3485280 3507200 3576000 3630500 3717632 3790560 3814400 3919296 3948500 4043264 4070400 4082600 4208640 4327556 4356600 4384000 4577280 4647040 4738200 4768000 4899120 5054080 5088000 5103250 5225728 5260800 5409445 5445750 5576448 5721600 5808800 5922750 6064896 6123900 6317600 6491334 6532160 6576000 6784000 6970560 7014400 7152000 7261000 7435264 7581120 7628800 7654875 7838592 7897000 8086528 8140800 8165200 8655112 8713200 8768000 9294080 9476400 9536000 9798240 10108160 10176000 10206500 10451456 10521600 10818890 10891500 11152896 11443200 11617600 11845500 12129792 12247800 12635200 12982668 13064320 13152000 13568000 13941120 14304000 14522000 14870528 15162240 15309750 15677184 15794000 16173056 16228335 16330400 17310224 17426400 17536000 18588160 18952800 19072000 19596480 20216320 20352000 20413000 20902912 21043200 21637780 21783000 22305792 22886400 23235200 23691000 24259584 24495600 25270400 25965336 26128640 26304000 27047225 27882240 28608000 29044000 30324480 30619500 31354368 31588000 32456670 32660800 34620448 34852800 35072000 37176320 37905600 38144000 39192960 40432640 40704000 40826000 41805824 43275560 43566000 44611584 46470400 47382000 48519168 48991200 50540800 51930672 52257280 52608000 54094450 55764480 57216000 58088000 60648960 61239000 62708736 63176000 64913340 65321600 69240896 69705600 74352640 75811200 78385920 80865280 81141675 81652000 86551120 87132000 92940800 94764000 97982400 101081600 103861344 104514560 105216000 108188900 111528960 114432000 116176000 121297920 122478000 125417472 126352000 129826680 130643200 135236125 138481792 139411200 151622400 156771840 162283350 163304000 173102240 174264000 185881600 189528000 195964800 202163200 207722688 209029120 216377800 223057920 232352000 242595840 244956000 252704000 259653360 261286400 270472250 276963584 278822400 303244800 313543680 324566700 326608000 346204480 348528000 371763200 379056000 391929600 404326400 405708375 415445376 432755600 464704000 489912000 505408000 519306720 522572800 540944500 553927168 557644800 606489600 627087360 649133400 653216000 692408960 697056000 758112000 783859200 811416750 830890752 865511200 929408000 979824000 1010816000 1038613440 1045145600 1081889000 1107854336 1115289600 1212979200 1298266800 1306432000 1384817920 1394112000 1516224000 1567718400 1622833500 1661781504 1731022400 1858816000 1959648000 2021632000 2077226880 2163778000 2215708672 2596533600 2612864000 2769635840 2788224000 3032448000 3135436800 3245667000 3323563008 3462044800 3919296000 4154453760 4327556000 5193067200 5225728000 5539271680 5576448000 6064896000 6491334000 6647126016 6924089600 7838592000 8308907520 8655112000 10386134400 11078543360 12982668000 13848179200 15677184000 16617815040 17310224000 20772268800 25965336000 27696358400 33235630080 34620448000 41544537600 51930672000 55392716800 69240896000 83089075200 103861344000 138481792000 166178150400 207722688000 276963584000 415445376000 830890752000
- Sum of all divisors σ(n): 2856291984000
- Sum of proper divisors (its aliquot sum) s(n): 2025401232000
- 830890752000 is an abundant number, because the sum of its proper divisors (2025401232000) is greater than itself. Its abundance is 1194510480000
Bases of 830890752000
- Binary: 11000001011101001111001010111000000000002
- Hexadecimal: 0xC174F2B800
- Base-36: ALPEWFEO
Squares and roots of 830890752000
- 830890752000 squared (8308907520002) is 690379441759125504000000
- 830890752000 cubed (8308907520003) is 573629893528579992880939008000000000
-
The
square root of 830890752000 is 911532.0904938015 -
The
cube root of 830890752000 is 9401.1570629411
Scales and comparisons
How big is 830890752000?- 830,890,752,000 seconds is equal to 26,419 years, 39 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 830,890,752,000 would take you about fifty-two thousand, eight hundred thirty-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 830890752000 cubic inches would be around 783.4 feet tall.
Recreational maths with 830890752000
- 830890752000 backwards is 000257098038
- The number of decimal digits it has is: 12
- The sum of 830890752000's digits is 42
- More coming soon!
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