830345985048320
830,345,985,048,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 830345985048320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
830345985048320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 830345985048320:
28 × 5 × 13 × 29 × 71 × 181 × 257 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 29 × 71 × 181 × 257 × 521)See below for interesting mathematical facts about the number 830345985048320 from the Numbermatics database.
Names of 830345985048320
- Cardinal: 830345985048320 can be written as Eight hundred thirty trillion, three hundred forty-five billion, nine hundred eighty-five million, forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.3034598504832 × 1014
Factors of 830345985048320
Divisors of 830345985048320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 71 80 104 116 128 130 142 145 160 181 208 232 256 257 260 284 290 320 355 362 377 416 464 514 520 521 568 580 640 710 724 754 832 905 923 928 1028 1040 1042 1136 1160 1280 1285 1420 1448 1508 1664 1810 1846 1856 1885 2056 2059 2080 2084 2272 2320 2353 2570 2605 2840 2896 3016 3328 3341 3620 3692 3712 3770 4112 4118 4160 4168 4544 4615 4640 4706 5140 5210 5249 5680 5792 6032 6682 6773 7240 7384 7424 7453 7540 8224 8236 8320 8336 9088 9230 9280 9412 10280 10295 10420 10498 11360 11584 11765 12064 12851 13364 13546 14480 14768 14906 15080 15109 16448 16472 16640 16672 16705 18176 18247 18460 18560 18824 20560 20590 20840 20996 22720 23168 23530 24128 25702 26245 26728 26767 27092 28960 29536 29812 30160 30218 32896 32944 33344 33410 33865 36494 36920 36991 37120 37265 37648 41120 41180 41680 41992 45440 46336 46517 47060 48256 51404 52490 53456 53534 54184 57920 59072 59624 60320 60436 64255 65792 65888 66688 66820 67730 68237 72988 73840 73982 74530 75296 75545 82240 82360 83360 83984 90880 91235 93034 94120 94301 96512 96889 102808 104980 106912 107068 108368 115840 118144 119248 120640 120872 128510 131776 133376 133640 133835 133897 135460 136474 145976 147680 147964 149060 150592 151090 164480 164720 166720 167063 167968 182470 184955 186068 188240 188602 193778 196417 205616 209960 213824 214136 216736 231680 232585 236288 237211 238496 241280 241744 257020 263552 267280 267670 267794 270920 272948 291952 295360 295928 298120 301184 302180 328960 329440 333440 334126 335936 341185 364940 369910 372136 372679 376480 377204 387556 392834 411232 419920 427648 428272 433472 465170 471505 474422 476992 480883 482560 483488 484445 514040 527104 529163 534560 535340 535588 541840 545896 583904 590720 591856 596240 602368 604360 604721 658880 666880 668252 669485 671872 682370 729880 739820 744272 745358 752960 754408 775112 785668 822464 835315 839840 855296 856544 866944 930340 943010 948844 953984 961766 966976 968890 982085 1028080 1058326 1069120 1070680 1071176 1072739 1083680 1091792 1167808 1181440 1183712 1186055 1192480 1208720 1209442 1225913 1317760 1336504 1338970 1343744 1348993 1364740 1459760 1479640 1488544 1490716 1505920 1508816 1550224 1571336 1644928 1670630 1679680 1713088 1733888 1740661 1860680 1863395 1886020 1897688 1907968 1923532 1933952 1937780 1964170 2056160 2116652 2138240 2141360 2142352 2145478 2167360 2183584 2335616 2367424 2372110 2384960 2404415 2417440 2418884 2451826 2635520 2645815 2673008 2677940 2697986 2729480 2734729 2919520 2959280 2977088 2981432 3011840 3017632 3023605 3100448 3142672 3289856 3302707 3341260 3359360 3426176 3481322 3721360 3726790 3772040 3795376 3847064 3867904 3875560 3883013 3928340 4112320 4233304 4276480 4282720 4284704 4290956 4334720 4367168 4671232 4734848 4744220 4769920 4808830 4834880 4837768 4844827 4903652 5291630 5346016 5355880 5363695 5395972 5458960 5469458 5839040 5918560 5954176 5962864 6035264 6047210 6129565 6200896 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146187673424 158191271680 159375428992 161545911488 176444110720 178953876088 179923290368 182734591780 199219286240 199602400252 201638170240 201932389360 220250924416 223692345110 224904112960 229377343936 248532171520 249503000315 275313655520 286721679920 292375346848 318750857984 323091822976 352888221440 357907752176 365469183560 398438572480 399204800504 403276340480 403864778720 440501848832 447384690220 449808225920 458754687872 499006000630 550627311040 573443359840 584750693696 646183645952 648707800819 715815504352 730938367120 796877144960 798409601008 807729557440 894769380440 899616451840 917509375744 998012001260 1101254622080 1146886719680 1169501387392 1297415601638 1431631008704 1461876734240 1593754289920 1596819202016 1615459114880 1789538760880 1996024002520 2202509244160 2293773439360 2339002774784 2594831203276 2863262017408 2923753468480 3193638404032 3230918229760 3243539004095 3579077521760 3992048005040 4587546878720 5189662406552 5726524034816 5847506936960 6387276808064 6487078008190 7158155043520 7984096010080 10379324813104 11695013873920 12774553616128 12974156016380 14316310087040 15968192020160 20758649626208 25948312032760 28632620174080 31936384040320 41517299252416 51896624065520 63872768080640 83034598504832 103793248131040 166069197009664 207586496262080 415172992524160 830345985048320
- Sum of all divisors σ(n): 2272560921146880
- Sum of proper divisors (its aliquot sum) s(n): 1442214936098560
- 830345985048320 is an abundant number, because the sum of its proper divisors (1442214936098560) is greater than itself. Its abundance is 611868951050240
Bases of 830345985048320
- Binary: 101111001100110001111111010111101010111111000000002
- Hexadecimal: 0x2F331FD7ABF00
- Base-36: 86BZOGLLA8
Squares and roots of 830345985048320
- 830345985048320 squared (8303459850483202) is 689474454885864860992734822400
- 830345985048320 cubed (8303459850483203) is 572502345407856926237985464032697010618368000
-
The
square root of 830345985048320 is 28815724.6143198697 -
The
cube root of 830345985048320 is 93991.0201565279
Scales and comparisons
How big is 830345985048320?- 830,345,985,048,320 seconds is equal to 26,402,433 years, 46 weeks, 4 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 830,345,985,048,320 would take you about sixty-six million, six thousand and eighty-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 830345985048320 cubic inches would be around 7832.6 feet tall.
Recreational maths with 830345985048320
- 830345985048320 backwards is 023840589543038
- The number of decimal digits it has is: 15
- The sum of 830345985048320's digits is 62
- More coming soon!
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The information we have on file for 830345985048320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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