968424040992
968,424,040,992 is an even composite number composed of six prime numbers multiplied together.
968424040992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 968424040992:
25 × 3 × 192 × 292 × 149 × 223
(2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 29 × 29 × 149 × 223)See below for interesting mathematical facts about the number 968424040992 from the Numbermatics database.
Names of 968424040992
- Cardinal: 968424040992 can be written as Nine hundred sixty-eight billion, four hundred twenty-four million, forty thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.68424040992 × 1011
Factors of 968424040992
Divisors of 968424040992
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 149 152 174 223 228 232 298 304 348 361 446 447 456 464 551 596 608 669 696 722 841 892 894 912 928 1083 1102 1192 1338 1392 1444 1653 1682 1784 1788 1824 2166 2204 2384 2523 2676 2784 2831 2888 3306 3364 3568 3576 4237 4321 4332 4408 4768 5046 5352 5662 5776 6467 6612 6728 7136 7152 8474 8493 8642 8664 8816 10092 10469 10704 11324 11552 12711 12934 12963 13224 13456 14304 15979 16948 16986 17284 17328 17632 19401 20184 20938 21408 22648 25422 25868 25926 26448 26912 31407 31958 33227 33896 33972 34568 34656 38802 40368 41876 45296 47937 50844 51736 51852 52896 53789 62814 63916 66454 67792 67944 69136 77604 80503 80736 82099 83752 90592 95874 99681 101688 103472 103704 107578 122873 125309 125628 127832 132908 135584 135888 138272 155208 161006 161367 164198 167504 187543 191748 199362 203376 206944 207408 215156 241509 245746 246297 250618 251256 255664 265816 271776 303601 310416 322012 322734 328396 335008 368619 375086 375927 383496 398724 406752 414816 430312 483018 491492 492594 501236 502512 511328 531632 562629 607202 620832 631313 644024 645468 656792 737238 750172 751854 766992 797448 860624 910803 963583 966036 982984 985188 1002472 1005024 1063264 1125258 1214404 1262626 1288048 1290936 1313584 1474476 1500344 1503708 1533984 1559881 1594896 1721248 1821606 1893939 1927166 1932072 1965968 1970376 2004944 2250516 2334587 2380871 2428808 2525252 2576096 2581872 2627168 2890749 2948952 3000688 3007416 3119762 3189792 3563317 3643212 3787878 3854332 3864144 3931936 3940752 4009888 4501032 4669174 4679643 4761742 4857616 5050504 5163744 5781498 5897904 6001376 6014832 6239524 7003761 7126634 7142613 7286424 7575756 7708664 7728288 7881504 9002064 9338348 9359286 9523484 9715232 10101008 10689951 11562996 11795808 11994947 12029664 12479048 14007522 14253268 14285226 14572848 15151512 15417328 18004128 18308077 18676696 18718572 19046968 20202016 21379902 23125992 23989894 24958096 27943907 28015044 28506536 28570452 29145696 30303024 30834656 35984841 36616154 37353392 37437144 38093936 42759804 45236549 46251984 47979788 49916192 54924231 55887814 56030088 57013072 57140904 60606048 67703023 71969682 73232308 74706784 74874288 76187872 83831721 85519608 90473098 92503968 95959576 109848462 111775628 112060176 114026144 114281808 135406046 135709647 143939364 146464616 149748576 167663442 171039216 180946196 191919152 203109069 219696924 223551256 224120352 228563616 270812092 271419294 287878728 292929232 335326884 342078432 347853463 361892392 383838304 406218138 439393848 447102512 530934233 541624184 542838588 575757456 585858464 670653768 695706926 723784784 812436276 878787696 894205024 1043560389 1061868466 1083248368 1085677176 1151514912 1341307536 1391413852 1447569568 1592802699 1624872552 1757575392 2087120778 2123736932 2166496736 2171354352 2682615072 2782827704 3185605398 3249745104 4174241556 4247473864 4342708704 5565655408 6371210796 6499490208 8348483112 8494947728 10087750427 11131310816 12742421592 16696966224 16989895456 20175500854 25484843184 30263251281 33393932448 40351001708 50969686368 60526502562 80702003416 121053005124 161404006832 242106010248 322808013664 484212020496 968424040992
- Sum of all divisors σ(n): 2809848787200
- Sum of proper divisors (its aliquot sum) s(n): 1841424746208
- 968424040992 is an abundant number, because the sum of its proper divisors (1841424746208) is greater than itself. Its abundance is 873000705216
Bases of 968424040992
- Binary: 11100001011110101001001000101010001000002
- Hexadecimal: 0xE17A922A20
- Base-36: CCVYO4DC
Squares and roots of 968424040992
- 968424040992 squared (9684240409922) is 937845123171274896344064
- 968424040992 cubed (9684240409923) is 908231764006166009254004386071871488
-
The
square root of 968424040992 is 984085.3829785299 -
The
cube root of 968424040992 is 9893.6191273013
Scales and comparisons
How big is 968424040992?- 968,424,040,992 seconds is equal to 30,792 years, 46 weeks, 1 day, 14 hours, 3 minutes, 12 seconds.
-
To count from 1 to 968,424,040,992 would take you about sixty-one thousand, five 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 968424040992 cubic inches would be around 824.5 feet tall.
Recreational maths with 968424040992
- 968424040992 backwards is 299040424869
- 968424040992 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 968424040992's digits is 57
- More coming soon!
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