9830745748713344
9,830,745,748,713,344 is an even composite number composed of seven prime numbers multiplied together.
What does the number 9830745748713344 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
9830745748713344 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 9830745748713344:
27 × 72 × 13 × 232 × 41 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 23 × 23 × 41 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 9830745748713344 from the Numbermatics database.
Names of 9830745748713344
- Cardinal: 9830745748713344 can be written as Nine quadrillion, eight hundred thirty trillion, seven hundred forty-five billion, seven hundred forty-eight million, seven hundred thirteen thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 9.830745748713344 × 1015
Factors of 9830745748713344
Divisors of 9830745748713344
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 41 46 49 52 53 56 64 82 91 92 98 104 106 112 128 161 164 182 184 196 208 212 224 287 299 322 328 364 368 371 392 416 424 448 529 533 574 598 637 644 656 689 728 736 742 784 832 848 896 943 1058 1066 1127 1148 1196 1219 1274 1288 1312 1378 1456 1472 1484 1568 1664 1696 1886 1979 2009 2093 2116 2132 2173 2254 2296 2392 2438 2548 2576 2597 2624 2756 2809 2912 2944 2968 3136 3392 3703 3731 3772 3958 4018 4186 4232 4264 4346 4508 4592 4784 4823 4876 5096 5152 5194 5248 5512 5618 5824 5936 6272 6601 6784 6877 7406 7462 7544 7916 8036 8372 8464 8528 8533 8692 9016 9184 9568 9646 9752 10192 10304 10388 11024 11236 11648 11872 12259 13202 13754 13853 14651 14812 14924 15088 15211 15832 15847 16072 16744 16928 17056 17066 17384 18032 18368 19136 19292 19504 19663 20384 20608 20776 21689 22048 22472 23744 24518 25727 25921 26117 26404 27508 27706 28037 28249 29302 29624 29848 30176 30422 31664 31694 32144 33488 33761 33856 34112 34132 34768 36064 36517 36736 38272 38584 39008 39326 40768 41552 43378 44096 44944 45517 46207 47488 48139 49036 49979 51454 51842 52234 52808 55016 55412 56074 56498 58604 59248 59696 59731 60352 60844 63328 63388 64288 64607 66976 67522 67712 68224 68264 69536 72128 73034 77168 78016 78652 81139 81536 83104 85813 86756 88192 89888 91034 92414 96278 96971 98072 99958 102908 103684 104468 104887 105616 106477 110032 110824 110929 112148 112996 115169 117208 118496 119392 119462 120704 121688 126656 126776 128576 129214 133952 135044 136528 137641 139072 144256 146068 151823 154336 156032 157304 162278 166208 171626 173512 179776 180089 182068 184828 192556 193942 196144 196259 197743 199916 205816 207368 208936 209774 211232 212954 220064 221648 221858 224296 225992 230338 234416 236992 238784 238924 243376 253312 253552 255619 257152 258428 267904 270088 273056 275282 278144 281957 292136 303646 308672 314608 318619 324556 332416 336973 343252 347024 349853 359552 360178 364136 364481 369656 385112 387884 392288 392518 395486 399832 411632 414736 417872 419548 422464 425908 440128 443296 443716 448592 451984 452249 460676 468832 473984 477568 477848 486752 507104 511238 516856 540176 546112 550564 563914 567973 584272 591721 600691 607292 617344 629216 637238 649112 649727 673946 686504 694048 699706 720356 728272 728962 734209 739312 770224 775768 776503 784576 785036 790972 799664 806183 823264 829472 835744 839096 839891 844928 851816 880256 886592 887432 897184 903968 904498 921352 937664 955696 973504 1014208 1022476 1033712 1046891 1054807 1062761 1080352 1092224 1101128 1127828 1135946 1149517 1168544 1183442 1201382 1214584 1258432 1260623 1274476 1298224 1299454 1347892 1363531 1373008 1373813 1384201 1388096 1399412 1440712 1456544 1457924 1468418 1478624 1485961 1497197 1540448 1551536 1553006 1569152 1570072 1581944 1599328 1612366 1646528 1658944 1671488 1678192 1679782 1703632 1773184 1774864 1789333 1794368 1807936 1808996 1842704 1866197 1875328 1911392 1947008 1973699 2028416 2044952 2067424 2093782 2109614 2125522 2160704 2202256 2230333 2255656 2271892 2299034 2337088 2366884 2402764 2412401 2429168 2448971 2516864 2521246 2548952 2551367 2596448 2598908 2648887 2695784 2727062 2746016 2747626 2768402 2776192 2798824 2881424 2913088 2915848 2936836 2957248 2971922 2994394 3080896 3103072 3106012 3140144 3163888 3165743 3198656 3224732 3293056 3317888 3342976 3356384 3359564 3407264 3549728 3578666 3588736 3615872 3617992 3685408 3732394 3822784 3947398 3975811 4089904 4134848 4142047 4187564 4219228 4251044 4300367 4321408 4404512 4460666 4511312 4543784 4548089 4598068 4674176 4733768 4805528 4824802 4858336 4897942 5042492 5097904 5102734 5139463 5192896 5197816 5297774 5391568 5454124 5492032 5495252 5536804 5559011 5597648 5643281 5762848 5826176 5831696 5873672 5879237 5914496 5943844 5988788 6161792 6206144 6212024 6280288 6327776 6331486 6397312 6449464 6712768 6719128 6814528 7099456 7157332 7235984 7328237 7370816 7383649 7464788 7645568 7894796 7951622 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126009353834 127394072008 134605057216 136295831698 141376348204 144010690096 144095124131 145184690287 145593225152 146780126444 152162238592 152917274588 155088435488 155235373748 161572969376 162890140322 164583645824 164680141864 165925360328 167748715936 174001659328 175317361856 177411855712 178688849584 186160160368 188205876416 189628983232 191058921536 196697527936 200480172704 204215828096 207015367013 212754468992 215979650432 218733217976 222939626014 226629760448 236588990872 241138779158 249980820544 252018707668 254788144016 256865221277 267605230529 269210114432 272591663396 282752696408 288021380192 288190248262 290369380574 291186450304 293560252888 305834549176 310176870976 310470747496 323145938752 325780280644 329360283728 331850720656 335497431872 348003318656 350634723712 354823711424 357377699168 372320320736 376411752832 379257966464 382117843072 400960345408 414030734026 437466435952 445879252028 453259520896 473177981744 477035410943 482277558316 499961641088 504037415336 509576288032 513730442554 535210461058 545183326792 565505392816 576042760384 576380496524 580738761148 587120505776 611669098352 620353741952 620941494992 646291877504 651560561288 658720567456 663701441312 670994863744 709647422848 714755398336 744640641472 801920690816 828061468052 843985727053 874932871904 891758504056 946355963488 954070821886 964555116632 1008074830672 1019152576064 1027460885108 1070420922116 1090366653584 1131010785632 1152085520768 1152760993048 1161477522296 1174241011552 1223338196704 1241882989984 1303121122576 1317441134912 1327402882624 1429510796672 1449107569091 1489281282944 1567402064527 1656122936104 1687971454106 1749865743808 1783517008112 1873236613703 1892711926976 1908141643772 1929110233264 2016149661344 2038305152128 2054921770216 2140841844232 2180733307168 2262021571264 2305521986096 2322955044592 2348482023104 2446676393408 2483765979968 2606242245152 2634882269824 2654805765248 2898215138182 3134804129054 3312245872208 3339247876601 3375942908212 3499731487616 3567034016224 3746473227406 3785423853952 3816283287544 3858220466528 4032299322688 4109843540432 4281683688464 4361466614336 4524043142528 4611043972192 4645910089184 4696964046208 4893352786816 4967531959936 5212484490304 5796430276364 5907900089371 6269608258108 6624491744416 6678495753202 6751885816424 7134068032448 7492946454812 7632566575088 7716440933056 8064598645376 8219687080864 8563367376928 8722933228672 9222087944384 9291820178368 10424968980608 10971814451689 11592860552728 11815800178742 12539216516216 13248983488832 13356991506404 13503771632848 14268136064896 14985892909624 15265133150176 15432881866112 16439374161728 17126734753856 18444175888768 18583640356736 21943628903378 23185721105456 23631600357484 25078433032432 26497966977664 26713983012808 27007543265696 29971785819248 30530266300352 32878748323456 34253469507712 43887257806756 46371442210912 47263200714968 50156866064864 53427966025616 54015086531392 59943571638496 61060532600704 76802701161823 87774515613512 92742884421824 94526401429936 100313732129728 106855932051232 108030173062784 119887143276992 153605402323646 175549031227024 185485768843648 189052802859872 200627464259456 213711864102464 239774286553984 307210804647292 351098062454048 378105605719744 427423728204928 614421609294584 702196124908096 756211211439488 1228843218589168 1404392249816192 2457686437178336 4915372874356672 9830745748713344
- Sum of all divisors σ(n): 26791931969787600
- Sum of proper divisors (its aliquot sum) s(n): 16961186221074256
- 9830745748713344 is an abundant number, because the sum of its proper divisors (16961186221074256) is greater than itself. Its abundance is 7130440472360912
Bases of 9830745748713344
- Binary: 1000101110110100000010110111000011101010101111100000002
- Hexadecimal: 0x22ED02DC3AAF80
- Base-36: 2OSPI90G7SW
Squares and roots of 9830745748713344
- 9830745748713344 squared (98307457487133442) is 96643561975845486494231483662336
- 9830745748713344 cubed (98307457487133443) is 950078286034557600132255107258982163228953411584
-
The
square root of 9830745748713344 is 99150117.2400383195 -
The
cube root of 9830745748713344 is 214221.0554506397
Scales and comparisons
How big is 9830745748713344?- 9,830,745,748,713,344 seconds is equal to 312,587,306 years, 16 weeks, 2 days, 23 hours, 55 minutes, 44 seconds.
-
To count from 1 to 9,830,745,748,713,344 would take you about nine hundred thirty-seven million, seven hundred sixty-one thousand, nine 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 9830745748713344 cubic inches would be around 17851.8 feet tall.
Recreational maths with 9830745748713344
- 9830745748713344 backwards is 4433178475470389
- The number of decimal digits it has is: 16
- The sum of 9830745748713344's digits is 77
- More coming soon!
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"Number 9830745748713344 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 9830745748713344 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/9830745748713344/
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The information we have on file for 9830745748713344 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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