97642438688816
97,642,438,688,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 97642438688816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
97642438688816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 97642438688816:
24 × 73 × 17 × 19 × 313 × 432
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 17 × 19 × 31 × 31 × 31 × 43 × 43)See below for interesting mathematical facts about the number 97642438688816 from the Numbermatics database.
Names of 97642438688816
- Cardinal: 97642438688816 can be written as Ninety-seven trillion, six hundred forty-two billion, four hundred thirty-eight million, six hundred eighty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 9.7642438688816 × 1013
Factors of 97642438688816
Divisors of 97642438688816
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 31 34 38 43 49 56 62 68 76 86 98 112 119 124 133 136 152 172 196 217 238 248 266 272 301 304 323 343 344 392 434 476 496 527 532 589 602 646 686 688 731 784 817 833 868 931 952 961 1054 1064 1178 1204 1292 1333 1372 1462 1519 1634 1666 1736 1849 1862 1904 1922 2107 2108 2128 2261 2356 2408 2584 2666 2744 2924 3038 3268 3332 3472 3689 3698 3724 3844 4123 4214 4216 4522 4712 4816 5117 5168 5332 5488 5719 5831 5848 6076 6517 6536 6664 6727 7378 7396 7448 7688 8246 8428 8432 9044 9331 9424 10013 10234 10633 10664 11438 11662 11696 12152 12943 13034 13072 13328 13454 13889 14749 14756 14792 14896 15376 15827 16337 16492 16856 18088 18259 18662 20026 20468 21266 21328 22661 22876 23324 24304 25327 25823 25886 26068 26908 27778 28861 29498 29512 29584 29791 31433 31654 32674 32984 33712 35131 35819 36176 36518 37324 40033 40052 40936 41323 42532 45322 45752 46648 47089 50654 51646 51772 52136 53816 55556 57319 57722 58996 59024 59582 62866 63308 65317 65348 65968 70091 70262 71638 73036 74648 80066 80104 81872 82646 85064 90601 90644 91504 93296 94178 97223 101308 103292 103544 104272 107632 110789 111112 114359 114638 115444 117992 119164 125732 126616 127813 130634 130696 140182 140524 143276 146072 149296 158627 160132 160208 165292 170128 177289 180761 181202 181288 188356 194446 202027 202616 206584 207088 208537 220031 221578 222224 228718 229276 230888 235984 238328 245917 250733 251464 253232 255626 261268 261392 280231 280364 281048 286552 289261 292144 310403 317254 320264 329623 330584 354578 361522 362404 362576 376712 388892 401233 404054 405232 413168 417074 430559 440062 443156 457219 457436 458552 461776 476656 490637 491834 501466 502928 506447 511252 522536 560462 560728 562096 566029 573104 578522 597227 620806 634207 634508 640528 659246 661168 680561 702491 709156 723044 724808 753424 777784 785137 800513 802466 808108 834148 861118 880124 886312 894691 914438 914872 917104 974423 981274 983668 1002932 1012894 1022504 1045072 1089061 1110389 1120924 1121456 1132058 1157044 1194454 1241023 1241612 1268414 1269016 1281013 1318492 1361122 1404982 1418312 1446088 1449616 1459759 1540217 1555568 1570274 1601026 1604932 1616216 1668296 1721419 1722236 1760248 1772624 1776889 1789382 1828876 1829744 1948846 1962548 1967336 2005864 2024827 2025788 2045008 2172821 2178122 2220778 2241848 2264116 2314088 2388908 2482046 2483224 2536828 2538032 2562026 2636984 2722244 2808631 2809964 2836624 2892176 2919518 3013913 3080434 3140548 3202052 3209864 3232432 3336592 3434459 3442838 3444472 3520496 3545129 3553778 3578764 3657752 3897692 3925096 3934672 3962203 4011728 4049654 4051576 4180589 4345642 4356244 4441556 4483696 4528232 4628176 4763927 4777816 4917437 4964092 4966448 5073656 5124052 5273968 5444488 5495959 5603591 5617262 5619928 5839036 6027826 6160868 6262837 6281096 6404104 6419728 6820961 6868918 6885676 6888944 7090258 7107556 7157528 7315504 7623427 7772723 7795384 7850192 7924406 8099308 8103152 8361178 8687161 8691284 8712488 8883112 8967091 9056464 9527854 9555632 9622493 9834874 9928184 10147312 10218313 10248104 10781519 10888976 10991918 11207182 11234524 11239856 11678072 12049933 12055652 12321736 12438223 12525674 12562192 12808208 13347329 13641922 13737836 13771352 14173789 14180516 14215112 14315056 15209747 15246854 15545446 15590768 15848812 16198616 16722356 17374322 17382568 17424976 17766224 17934182 18514037 19055708 19244986 19660417 19669748 19856368 20436626 20496208 21097391 21563038 21777221 21983836 22414364 22469048 23356144 24099866 24111304 24339247 24643472 24815903 24876446 25051348 26694658 27283844 27475672 27542704 27735421 28347578 28361032 28430224 29264123 30207113 30419494 30493708 31090892 31697624 32397232 33444712 33760891 34422059 34748644 34765136 35868364 37028074 38111416 38471713 38489972 39320834 39339496 40873252 42194782 43126076 43554442 43967672 44828728 44938096 47746727 48199732 48222608 48678494 49631806 49752892 50102696 53363989 53389316 54567688 54951344 55083559 55470842 56695156 56722064 58528246 60414226 60838988 60987416 62181784 62769637 63395248 66889424 67357451 67521782 68844118 69497288 71736728 74056148 76222832 76943426 76979944 78641668 78678992 81746504 84389564 86252152 87067561 87108884 87935344 89657456 93431303 95493454 96399464 97356988 99263612 99505784 100205392 106468229 106727978 106778632 109135376 110167118 110941684 113390312 117056492 120828452 121677976 121974832 124363568 125539274 129598259 134714902 135043564 137688236 138994576 143473456 147681737 148112296 152440547 153886852 153959888 157283336 163493008 168779128 170374729 172504304 173711321 174135122 174217768 186862606 190986908 192798928 194147947 194713976 198527224 199011568 204848861 211449791 212936458 213455956 213557264 220334236 221883368 226780624 234112984 236326237 240954413 241656904 243355952 251078548 259196518 269301991 269429804 270087128 275376472 295363474 296224592 304881094 307773704 314566672 334227089 337558256 340749458 347422642 348270244 348435536 373547923 373725212 381973816 385584913 388295894 389427952 397054448 409697722 413767199 422899582 425872916 426911912 439387459 440668472 443766736 468225968 471502157 472652474 481908826 483313808 502157096 518393036 538603982 538859608 540174256 550752944 573935147 590726948 609472927 609762188 615547408 654019121 668454178 681498916 694845284 696540488 747095846 747450424 763947632 771169826 776591788 819395444 827534398 845799164 851745832 853823824 878774918 881336944 907187813 936420503 943004314 945304948 963817652 1004314192 1036786072 1046587621 1067083829 1077207964 1077719216 1147870294 1181453896 1192623103 1218945854 1219524376 1308038242 1336908356 1362997832 1389690568 1393080976 1480148537 1494191692 1494900848 1542339652 1553183576 1638790888 1654283659 1655068796 1691598328 1703491664 1757549836 1814375626 1872841006 1886008628 1890609896 1927635304 2073572144 2093175242 2134167658 2154415928 2295740588 2362907792 2385246206 2437891708 2439048752 2616076484 2673816712 2699094391 2725995664 2779381136 2896370393 2960297074 2988383384 3084679304 3106367152 3277581776 3300515099 3308567318 3310137592 3383196656 3515099672 3628751252 3745682012 3772017256 3781219792 3855270608 4017546029 4186350484 4268335316 4308831856 4578133847 4591481176 4770492412 4875783416 5232152968 5347633424 5398188782 5792740786 5920594148 5976766768 6169358608 6350314691 6554943521 6601030198 6617134636 6620275184 7030199344 7257502504 7326113347 7469586803 7491364024 7544034512 8035092058 8348361721 8372700968 8536670632 9156267694 9182962352 9540984824 9751566832 10361039759 10464305936 10796377564 11579985613 11585481572 11841188296 12700629382 13109887042 13202060396 13234269272 14515005008 14652226694 14939173606 14982728048 16070184116 16696723442 16745401936 17073341264 17791989557 18312535388 18893660737 19081969648 20274592751 20722079518 21592755128 23159971226 23170963144 23682376592 25401258764 26219774084 26404120792 26468538544 28122822203 29304453388 29878347212 32140368232 33393446884 35583979114 36625070776 37787321474 40549185502 41444159036 43185510256 45884604647 46319942452 46341926288 50802517528 51282793429 52439548168 52808241584 56245644406 58608906776 59756694424 64280736464 66786893768 71167958228 73250141552 75574642948 81098371004 82888318072 91769209294 92639884904 101605035056 102565586858 104879096336 112491288812 117217813552 119513388848 124543926899 133573787536 141922149257 142335916456 151149285896 162196742008 165776636144 183538418588 185279769808 196859755421 205131173716 224982577624 249087853798 283844298514 284671832912 302298571792 321192232529 324393484016 358979554003 367076837176 393719510842 410262347432 449965155248 498175707596 567688597028 642384465058 717959108006 734153674352 787439021684 820524694864 871807488293 996351415192 1135377194056 1284768930116 1435918216012 1574878043368 1743614976586 1992702830384 2270754388112 2569537860232 2871836432024 3149756086736 3487229953172 5139075720464 5743672864048 6102652418051 6974459906344 12205304836102 13948919812688 24410609672204 48821219344408 97642438688816
- Sum of all divisors σ(n): 260135635968000
- Sum of proper divisors (its aliquot sum) s(n): 162493197279184
- 97642438688816 is an abundant number, because the sum of its proper divisors (162493197279184) is greater than itself. Its abundance is 64850758590368
Bases of 97642438688816
- Binary: 101100011001110001001101101111110000000001100002
- Hexadecimal: 0x58CE26DF8030
- Base-36: YM0BEXX68
Squares and roots of 97642438688816
- 97642438688816 squared (976424386888162) is 9534045833099191621283481856
- 97642438688816 cubed (976424386888163) is 930927485714749480303344633354607766122496
-
The
square root of 97642438688816 is 9881418.8601038465 -
The
cube root of 97642438688816 is 46048.2226949545
Scales and comparisons
How big is 97642438688816?- 97,642,438,688,816 seconds is equal to 3,104,727 years, 27 weeks, 1 day, 3 hours, 46 minutes, 56 seconds.
-
To count from 1 to 97,642,438,688,816 would take you about seven million, seven hundred sixty-one thousand, eight hundred eighteen 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 97642438688816 cubic inches would be around 3837.4 feet tall.
Recreational maths with 97642438688816
- 97642438688816 backwards is 61888683424679
- The number of decimal digits it has is: 14
- The sum of 97642438688816's digits is 80
- More coming soon!
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The information we have on file for 97642438688816 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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