9972015375168
9,972,015,375,168 is an even composite number composed of seven prime numbers multiplied together.
9972015375168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 9972015375168:
26 × 34 × 7 × 112 × 31 × 61 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 31 × 61 × 1201)See below for interesting mathematical facts about the number 9972015375168 from the Numbermatics database.
Names of 9972015375168
- Cardinal: 9972015375168 can be written as Nine trillion, nine hundred seventy-two billion, fifteen million, three hundred seventy-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 9.972015375168 × 1012
Factors of 9972015375168
Divisors of 9972015375168
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 61 62 63 64 66 72 77 81 84 88 93 96 99 108 112 121 122 124 126 132 144 154 162 168 176 183 186 189 192 198 216 217 224 231 242 244 248 252 264 279 288 297 308 324 336 341 352 363 366 372 378 396 427 432 434 448 462 484 488 496 504 528 549 558 567 576 594 616 648 651 671 672 682 693 704 726 732 744 756 792 837 847 854 864 868 891 924 968 976 992 1008 1023 1056 1089 1098 1116 1134 1188 1201 1232 1281 1296 1302 1342 1344 1364 1386 1452 1464 1488 1512 1584 1647 1674 1694 1708 1728 1736 1782 1848 1891 1936 1952 1953 1984 2013 2016 2046 2079 2112 2178 2196 2232 2268 2376 2387 2402 2464 2511 2541 2562 2592 2604 2684 2728 2772 2904 2928 2976 3024 3069 3168 3267 3294 3348 3388 3416 3472 3564 3603 3696 3751 3782 3843 3872 3904 3906 4026 4032 4092 4158 4356 4392 4464 4536 4697 4752 4774 4804 4928 4941 5022 5082 5124 5184 5208 5368 5456 5544 5673 5808 5856 5859 5952 6039 6048 6138 6237 6336 6534 6588 6696 6776 6832 6944 7128 7161 7206 7381 7392 7502 7564 7623 7686 7744 7812 8052 8184 8316 8407 8712 8784 8928 9072 9207 9394 9504 9548 9608 9801 9882 10044 10164 10248 10416 10736 10809 10912 11088 11253 11346 11529 11616 11712 11718 12078 12096 12276 12474 13068 13176 13211 13237 13392 13552 13664 13888 14091 14256 14322 14412 14762 14784 15004 15128 15246 15372 15624 16104 16368 16632 16814 17019 17424 17568 17577 17856 18117 18144 18414 18788 19008 19096 19216 19602 19764 20088 20328 20496 20801 20832 21472 21483 21618 21824 22143 22176 22506 22692 22869 23058 23232 23436 24156 24552 24948 25221 26136 26257 26352 26422 26474 26784 27104 27328 27621 28182 28512 28644 28824 29524 30008 30256 30492 30744 31248 32208 32427 32736 33264 33628 33759 34038 34587 34848 35136 35154 36234 36288 36828 37231 37576 38192 38432 39204 39528 39633 39711 40176 40656 40992 41602 41664 42273 42944 42966 43236 44286 44352 45012 45384 45738 46116 46872 48312 49104 49896 50442 51057 51667 52272 52514 52704 52844 52948 53568 54208 54351 55242 56364 57024 57288 57648 59048 60016 60512 60984 61488 62403 62496 64416 64449 64854 65472 66429 66528 67256 67518 68076 68607 69174 69696 70308 72468 73261 73656 74462 75152 75663 76384 76864 78408 78771 79056 79266 79422 80352 81312 81984 83204 84546 85932 86472 88572 90024 90768 91476 92232 92477 93744 96624 97281 98208 99792 100884 101277 102114 103334 104544 105028 105408 105688 105896 108702 110484 111693 112728 114576 115296 118096 118899 119133 120032 121024 121968 122976 124806 124992 126819 128832 128898 129708 132858 133056 134512 135036 136152 137214 138348 140616 144936 145321 145607 146522 147312 148924 150304 151326 152768 153171 155001 156816 157542 158112 158532 158844 160704 162624 166408 169092 171864 172944 177144 180048 181536 182952 184464 184954 187209 187488 193248 193347 194562 196416 199287 199584 201768 202554 204228 206668 209088 210056 211376 211792 217404 219783 220968 223386 225456 226989 228811 229152 230592 236192 236313 237798 238266 240064 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2023542081 2075773392 2088817632 2098488084 2123060544 2198416088 2233874412 2270495304 2289259728 2398272096 2436953904 2473218099 2476903968 2552999328 2554307217 2575417194 2594851776 2636704224 2658495168 2698056108 2767697856 2797984112 2872124244 2919208248 2943333936 2978499216 3027327072 3052346304 3147732126 3249271872 3297624132 3350811618 3405742956 3433889592 3597408144 3655430856 3715355952 3829498992 3847228154 3892277664 3924445248 3971332288 4047084162 4151546784 4177635264 4196976168 4396832176 4467748824 4540990608 4578519456 4721598189 4796544192 4873907808 4946436198 4953807936 5026217427 5105998656 5108614434 5150834388 5273408448 5396112216 5595968224 5744248488 5770842231 5838416496 5886667872 5956998432 6054654144 6295464252 6595248264 6701623236 6811485912 6867779184 7194816288 7310861712 7419654297 7430711904 7658997984 7694456308 7784555328 8094168324 8303093568 8393952336 8793664352 8935497648 9081981216 9157038912 9443196378 9747815616 9892872396 10052434854 10217228868 10301668776 10792224432 11191936448 11488496976 11541684462 11676832992 11773335744 11913996864 12590928504 13190496528 13403246472 13622971824 13735558368 14164794567 14389632576 14621723424 14839308594 14861423808 15317995968 15388912616 16188336648 16787904672 17312526693 17587328704 17870995296 18163962432 18886392756 19785744792 20104869708 20434457736 20603337552 21584448864 22258962891 22976993952 23083368924 23353665984 25181857008 26380993056 26806492944 27245943648 27471116736 28329589134 29243446848 29678617188 30777825232 32376673296 33575809344 34625053386 35741990592 37772785512 39571489584 40209739416 40868915472 41206675104 43168897728 44517925782 45953987904 46166737848 50363714016 51937580079 52761986112 53612985888 54491887296 56659178268 59357234376 61555650464 64753346592 69250106772 75545571024 79142979168 80419478832 81737830944 82413350208 89035851564 92333475696 100727428032 103875160158 107225971776 113318356536 118714468752 123111300928 129506693184 138500213544 151091142048 155812740237 158285958336 160838957664 163475661888 178071703128 184666951392 207750320316 226636713072 237428937504 277000427088 302182284096 311625480474 321677915328 356143406256 369333902784 415500640632 453273426144 474857875008 554000854176 623250960948 712286812512 831001281264 906546852288 1108001708352 1246501921896 1424573625024 1662002562528 2493003843792 3324005125056 4986007687584 9972015375168
- Sum of all divisors σ(n): 38992120566784
- Sum of proper divisors (its aliquot sum) s(n): 29020105191616
- 9972015375168 is an abundant number, because the sum of its proper divisors (29020105191616) is greater than itself. Its abundance is 19048089816448
Bases of 9972015375168
- Binary: 100100010001110010100110111100100011010000002
- Hexadecimal: 0x911CA6F2340
- Base-36: 3J92WHG00
Squares and roots of 9972015375168
- 9972015375168 squared (99720153751682) is 99441090642586987791028224
- 9972015375168 cubed (99720153751683) is 991628084811352175255025350735836741632
-
The
square root of 9972015375168 is 3157849.8025029627 -
The
cube root of 9972015375168 is 21524.2311086955
Scales and comparisons
How big is 9972015375168?- 9,972,015,375,168 seconds is equal to 317,079 years, 12 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 9,972,015,375,168 would take you about seven hundred ninety-two thousand, six hundred ninety-eight 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 9972015375168 cubic inches would be around 1793.7 feet tall.
Recreational maths with 9972015375168
- 9972015375168 backwards is 8615735102799
- 9972015375168 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 9972015375168's digits is 63
- More coming soon!
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"Number 9972015375168 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 9972015375168 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/9972015375168/
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The information we have on file for 9972015375168 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!
Keywords: Divisors of 9972015375168, math, Factors of 9972015375168, curriculum, school, college, exams, university, Prime factorization of 9972015375168, STEM, science, technology, engineering, physics, economics, calculator, nine trillion, nine hundred seventy-two billion, fifteen million, three hundred seventy-five thousand, one hundred sixty-eight.