966831876972
966,831,876,972 is an even composite number composed of six prime numbers multiplied together.
966831876972 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 966831876972:
22 × 35 × 13 × 23 × 412 × 1979
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 23 × 41 × 41 × 1979)See below for interesting mathematical facts about the number 966831876972 from the Numbermatics database.
Names of 966831876972
- Cardinal: 966831876972 can be written as Nine hundred sixty-six billion, eight hundred thirty-one million, eight hundred seventy-six thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 9.66831876972 × 1011
Factors of 966831876972
Divisors of 966831876972
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 23 26 27 36 39 41 46 52 54 69 78 81 82 92 108 117 123 138 156 162 164 207 234 243 246 276 299 324 351 369 414 468 486 492 533 598 621 702 738 828 897 943 972 1053 1066 1107 1196 1242 1404 1476 1599 1681 1794 1863 1886 1979 2106 2132 2214 2484 2691 2829 3159 3198 3321 3362 3588 3726 3772 3958 4212 4428 4797 5043 5382 5589 5658 5937 6318 6396 6642 6724 7452 7916 8073 8487 9594 9963 10086 10764 11178 11316 11874 12259 12636 13284 14391 15129 16146 16974 17811 19188 19926 20172 21853 22356 23748 24219 24518 25461 25727 28782 30258 32292 33948 35622 36777 38663 39852 43173 43706 45387 45517 48438 49036 50922 51454 53433 57564 60516 65559 71244 72657 73554 76383 77181 77326 81139 86346 87412 90774 91034 96876 101844 102908 106866 110331 115989 129519 131118 136161 136551 145314 147108 152766 154362 154652 160299 162278 172692 181548 182068 196677 213732 220662 229149 231543 231978 243417 259038 262236 272322 273102 290628 305532 308724 320598 324556 330993 347967 393354 408483 409653 441324 458298 463086 463956 480897 486834 502619 518076 544644 546204 590031 591721 641196 661986 694629 695934 730251 786708 816966 819306 916596 926172 961794 973668 992979 1005238 1043901 1054807 1180062 1183442 1228959 1323972 1389258 1391868 1460502 1507857 1633932 1638612 1770093 1775163 1866197 1923588 1985958 2010476 2083887 2087802 2109614 2190753 2360124 2366884 2457918 2778516 2921004 2978937 3015714 3131703 3164421 3326699 3540186 3550326 3686877 3732394 3971916 4167774 4175604 4219228 4381506 4523571 4915836 5310279 5325489 5598591 5957874 6031428 6251661 6263406 6328842 6572259 6653398 7080372 7100652 7373754 7464788 8335548 8763012 9047142 9395109 9493263 9980097 10620558 10650978 11060631 11197182 11915748 12503322 12526812 12657684 13144518 13306796 13570713 14747508 15976467 16795773 18094284 18790218 18986526 19716777 19960194 21241116 21301956 22121262 22394364 24260561 25006644 26289036 27141426 28479789 29940291 31952934 33591546 37580436 37973052 39433554 39920388 40712139 43247087 44242524 47929401 48521122 50387319 54282852 56959578 59880582 63905868 67183092 72781683 76514077 78867108 81424278 85439367 86494174 89820873 95858802 97042244 100774638 113919156 119761164 122136417 129741261 143788203 145563366 151161957 153028154 162848556 170878734 172988348 179641746 191717604 201549276 218345049 229542231 244272834 256318101 259482522 269462619 287576406 291126732 302323914 306056308 341757468 359283492 389223783 436690098 453485871 459084462 488545668 512636202 518965044 538925238 575152812 604647828 655035147 688626693 778447566 808387857 873380196 906971742 918168924 994683001 1025272404 1077850476 1167671349 1310070294 1377253386 1556895132 1616775714 1813943484 1965105441 1989366002 2065880079 2335342698 2620140588 2754506772 2984049003 3233551428 3503014047 3930210882 3978732004 4131760158 4670685396 5895316323 5968098006 6197640237 7006028094 7860421764 8263520316 8952147009 10509042141 11790632646 11936196012 12395280474 14012056188 17904294018 18592920711 21018084282 23581265292 24790560948 26856441027 35808588036 37185841422 42036168564 53712882054 74371682844 80569323081 107425764108 161138646162 241707969243 322277292324 483415938486 966831876972
- Sum of all divisors σ(n): 2920714917120
- Sum of proper divisors (its aliquot sum) s(n): 1953883040148
- 966831876972 is an abundant number, because the sum of its proper divisors (1953883040148) is greater than itself. Its abundance is 987051163176
Bases of 966831876972
- Binary: 11100001000110111010101110101011011011002
- Hexadecimal: 0xE11BABAB6C
- Base-36: CC5MQIR0
Squares and roots of 966831876972
- 966831876972 squared (9668318769722) is 934763878329200543888784
- 966831876972 cubed (9668318769723) is 903759515010647197164196298738682048
-
The
square root of 966831876972 is 983276.0939695423 -
The
cube root of 966831876972 is 9888.1941948765
Scales and comparisons
How big is 966831876972?- 966,831,876,972 seconds is equal to 30,742 years, 13 weeks, 4 days, 18 hours, 16 minutes, 12 seconds.
-
To count from 1 to 966,831,876,972 would take you about sixty-one thousand, four hundred 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 966831876972 cubic inches would be around 824 feet tall.
Recreational maths with 966831876972
- 966831876972 backwards is 279678138669
- The number of decimal digits it has is: 12
- The sum of 966831876972's digits is 72
- More coming soon!
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