3430334329968
3,430,334,329,968 is an even composite number composed of seven prime numbers multiplied together.
3430334329968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3430334329968:
24 × 3 × 7 × 132 × 31 × 43 × 45319
(2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 31 × 43 × 45319)See below for interesting mathematical facts about the number 3430334329968 from the Numbermatics database.
Names of 3430334329968
- Cardinal: 3430334329968 can be written as Three trillion, four hundred thirty billion, three hundred thirty-four million, three hundred twenty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.430334329968 × 1012
Factors of 3430334329968
Divisors of 3430334329968
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 43 48 52 56 62 78 84 86 91 93 104 112 124 129 156 168 169 172 182 186 208 217 248 258 273 301 312 336 338 344 364 372 403 434 496 507 516 546 559 602 624 651 676 688 728 744 806 868 903 1014 1032 1092 1118 1183 1204 1209 1302 1333 1352 1456 1488 1612 1677 1736 1806 2028 2064 2184 2236 2366 2408 2418 2604 2666 2704 2821 3224 3354 3472 3549 3612 3913 3999 4056 4368 4472 4732 4816 4836 5208 5239 5332 5642 6448 6708 7098 7224 7267 7826 7998 8112 8463 8944 9331 9464 9672 10416 10478 10664 11284 11739 13416 14196 14448 14534 15652 15717 15996 16926 17329 18662 18928 19344 20956 21328 21801 22568 23478 26832 27993 28392 29068 31304 31434 31992 33852 34658 36673 37324 41912 43602 45136 45319 46956 50869 51987 55986 56784 58136 62608 62868 63984 67704 69316 73346 74648 83824 87204 90638 93912 101738 103974 110019 111972 116272 121303 125736 135408 135957 138632 146692 149296 152607 174408 181276 187824 203476 207948 220038 223944 225277 242606 251472 271914 277264 293384 305214 317233 348816 362552 363909 406952 415896 440076 447888 450554 485212 543828 586768 589147 610428 634466 675831 725104 727818 813904 831792 880152 901108 951699 970424 1087656 1178294 1220856 1268932 1351662 1404889 1455636 1576939 1760304 1767441 1802216 1903398 1940848 1948717 2175312 2356588 2441712 2537864 2703324 2809778 2911272 3153878 3534882 3604432 3806796 3897434 4124029 4214667 4713176 4730817 5075728 5406648 5619556 5822544 5846151 6307756 7069764 7613592 7658911 7794868 8248058 8429334 9426352 9461634 9834223 10813296 11239112 11692302 12372087 12615512 13641019 14139528 15227184 15317822 15589736 16496116 16858668 18263557 18923268 19668446 22478224 22976733 23384604 24744174 25231024 25333321 27282038 28279056 29502669 30635644 31179472 32992232 33717336 36527114 37846536 39336892 40923057 45953466 46769208 49488348 50666642 53612377 54564076 54790671 59005338 60410227 61271288 65984464 67434672 73054228 75693072 75999963 78673784 81846114 91906932 93538416 98976696 101333284 107224754 109128152 109581342 118010676 120820454 122542576 127844899 146108456 151999926 157347568 160837131 163692228 177333247 181230681 183813864 197953392 202666568 214449508 218256304 219162684 236021352 237426241 241640908 255689798 292216912 303999852 321674262 327384456 329333173 354666494 362461362 367627728 383534697 405333136 422871589 428899016 438325368 472042704 474852482 483281816 511379596 531999741 607999704 643348524 654768912 658666346 709332988 712278723 724922724 767069394 785332951 845743178 857798032 876650736 949704964 966563632 987999519 1022759192 1063999482 1215999408 1268614767 1286697048 1317332692 1418665976 1424557446 1449845448 1534138788 1570665902 1661983687 1691486356 1899409928 1975999038 2045518384 2127998964 2305332211 2355998853 2537229534 2573394096 2634665384 2837331952 2849114892 2899690896 3068277576 3141331804 3323967374 3382972712 3798819856 3951998076 4255997928 4610664422 4711997706 4985951061 5074459068 5269330768 5497330657 5698229784 6136555152 6282663608 6647934748 6765945424 6915996633 7903996152 8511995856 9221328844 9423995412 9971902122 10148918136 10209328363 10994661314 11396459568 12565327216 13295869496 13831993266 15807992304 16491991971 18442657688 18847990824 19943804244 20297836272 20418656726 21989322628 26591738992 27663986532 30627985089 32983983942 36885315376 37695981648 39887608488 40837313452 43978645256 55327973064 61255970178 65967967884 71465298541 79775216976 81674626904 87957290512 110655946128 122511940356 131935935768 142930597082 163349253808 214395895623 245023880712 263871871536 285861194164 428791791246 490047761424 571722388328 857583582492 1143444776656 1715167164984 3430334329968
- Sum of all divisors σ(n): 11583913820160
- Sum of proper divisors (its aliquot sum) s(n): 8153579490192
- 3430334329968 is an abundant number, because the sum of its proper divisors (8153579490192) is greater than itself. Its abundance is 4723245160224
Bases of 3430334329968
- Binary: 1100011110101011111101101111110100011100002
- Hexadecimal: 0x31EAFDBF470
- Base-36: 17RVGHOXC
Squares and roots of 3430334329968
- 3430334329968 squared (34303343299682) is 11767193615357007502881024
- 3430334329968 cubed (34303343299683) is 40365408226139407847508926292661727232
-
The
square root of 3430334329968 is 1852116.1761531053 -
The
cube root of 3430334329968 is 15081.5328089165
Scales and comparisons
How big is 3430334329968?- 3,430,334,329,968 seconds is equal to 109,074 years, 1 week, 15 hours, 12 minutes, 48 seconds.
-
To count from 1 to 3,430,334,329,968 would take you about two hundred seventy-two thousand, six hundred eighty-five 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 3430334329968 cubic inches would be around 1256.8 feet tall.
Recreational maths with 3430334329968
- 3430334329968 backwards is 8699234330343
- The number of decimal digits it has is: 13
- The sum of 3430334329968's digits is 57
- More coming soon!
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