97967101968
97,967,101,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 97967101968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
97967101968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 97967101968:
24 × 33 × 172 × 23 × 109 × 313
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 17 × 23 × 109 × 313)See below for interesting mathematical facts about the number 97967101968 from the Numbermatics database.
Names of 97967101968
- Cardinal: 97967101968 can be written as Ninety-seven billion, nine hundred sixty-seven million, one hundred one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.7967101968 × 1010
Factors of 97967101968
Divisors of 97967101968
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 109 136 138 144 153 184 204 207 216 218 272 276 289 306 313 327 368 391 408 414 432 436 459 552 578 612 621 626 654 782 816 828 867 872 918 939 981 1104 1156 1173 1224 1242 1252 1308 1564 1656 1734 1744 1836 1853 1878 1962 2312 2346 2448 2484 2504 2507 2601 2616 2817 2943 3128 3312 3468 3519 3672 3706 3756 3924 4624 4692 4968 5008 5014 5202 5232 5321 5559 5634 5886 6256 6647 6936 7038 7199 7344 7412 7512 7521 7803 7848 8451 9384 9936 10028 10404 10557 10642 11118 11268 11772 13294 13872 14076 14398 14824 15024 15042 15606 15696 15963 16677 16902 18768 19941 20056 20808 21114 21284 21597 22236 22536 22563 23544 26588 28152 28796 29648 30084 31212 31501 31926 33354 33804 34117 39882 40112 41616 42228 42568 42619 43194 44472 45072 45126 47088 47889 50031 53176 56304 57592 59823 60168 62424 63002 63852 64791 66708 67608 67689 68234 79764 84456 85136 85238 86388 88944 90252 90457 94503 95778 100062 102351 106352 115184 119646 120336 122383 124848 126004 127704 127857 129582 133416 135216 135378 136468 143667 159528 168912 170476 172776 179469 180504 180914 189006 191556 194373 200124 204702 239292 244766 252008 255408 255714 259164 266832 270756 271371 272936 283509 287334 307053 319056 340952 345552 358938 361008 361828 367149 378012 383112 383571 388746 400248 409404 478584 489532 504016 511428 518328 541512 542742 545872 567018 574668 579989 614106 681904 717876 723656 724523 734298 756024 766224 767142 777492 784691 800496 814113 818808 850527 921159 957168 979064 1022856 1036656 1083024 1085484 1101447 1134036 1149336 1150713 1159978 1228212 1435752 1447312 1449046 1468596 1512048 1534284 1554984 1569382 1628226 1637616 1701054 1739967 1842318 1958128 2045712 2080511 2170968 2173569 2202894 2268072 2298672 2301426 2319956 2354073 2442339 2456424 2871504 2898092 2937192 3068568 3109968 3138764 3256452 3304341 3402108 3479934 3684636 4161022 4341936 4347138 4405788 4536144 4602852 4639912 4708146 4884678 4912848 5219901 5796184 5874384 6137136 6241533 6277528 6512904 6520707 6608682 6804216 6959868 7062219 7369272 8322044 8694276 8811576 9205704 9279824 9416292 9769356 9859813 10439802 11592368 12483066 12555056 13025808 13041414 13217364 13339747 13608432 13919736 14124438 14738544 15659703 16644088 17388552 17623152 18411408 18724599 18832584 19538712 19562121 19719626 20879604 21186657 24966132 26082828 26434728 26679494 27839472 28248876 29579439 31319406 33288176 34777104 37449198 37665168 39077424 39124242 39439252 40019241 41759208 42373314 49932264 52165656 52869456 53358988 56173797 56497752 59158878 62638812 74898396 78248484 78878504 80038482 83518416 84746628 88738317 99864528 104331312 106717976 112347594 112995504 118317756 120057723 125277624 149796792 156496968 157757008 160076964 169493256 177476634 213435952 224695188 226775699 236635512 240115446 250555248 266214951 299593584 312993936 320153928 338986512 354953268 360173169 449390376 453551398 473271024 480230892 532429902 640307856 680327097 709906536 720346338 898780752 907102796 960461784 1064859804 1360654194 1419813072 1440692676 1814205592 1920923568 2040981291 2129719608 2721308388 2881385352 3628411184 4081962582 4259439216 5442616776 5762770704 6122943873 8163925164 10885233552 12245887746 16327850328 24491775492 32655700656 48983550984 97967101968
- Sum of all divisors σ(n): 315568492800
- Sum of proper divisors (its aliquot sum) s(n): 217601390832
- 97967101968 is an abundant number, because the sum of its proper divisors (217601390832) is greater than itself. Its abundance is 119634288864
Bases of 97967101968
- Binary: 10110110011110100101101011000000100002
- Hexadecimal: 0x16CF4B5810
- Base-36: 19072ZO0
Squares and roots of 97967101968
- 97967101968 squared (979671019682) is 9597553068008509473024
- 97967101968 cubed (979671019683) is 940244460056880886235436153311232
-
The
square root of 97967101968 is 312996.9679853145 -
The
cube root of 97967101968 is 4609.9203354057
Scales and comparisons
How big is 97967101968?- 97,967,101,968 seconds is equal to 3,115 years, 2 weeks, 4 days, 11 hours, 52 minutes, 48 seconds.
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To count from 1 to 97,967,101,968 would take you about six thousand, two hundred thirty 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 97967101968 cubic inches would be around 384.2 feet tall.
Recreational maths with 97967101968
- 97967101968 backwards is 86910176979
- The number of decimal digits it has is: 11
- The sum of 97967101968's digits is 63
- More coming soon!
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