997925216845824

Names of 997925216845824

• Cardinal: 997925216845824 can be written as Nine hundred ninety-seven trillion, nine hundred twenty-five billion, two hundred sixteen million, eight hundred forty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 9.97925216845824 × 10¹⁴

Factors of 997925216845824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 1936

Divisors of 997925216845824

• Number of divisors d(n): 1176
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 41 48 51 54 64 68 72 81 82 96 102 108 123 128 136 144 153 162 164 192 204 216 243 246 256 272 288 306 324 328 369 384 408 432 459 486 492 512 544 576 612 648 656 697 729 738 768 816 864 918 972 984 1024 1088 1107 1152 1224 1296 1312 1377 1394 1458 1476 1536 1632 1728 1836 1873 1944 1968 2048 2091 2176 2214 2304 2448 2592 2624 2754 2788 2916 2952 3072 3264 3321 3456 3672 3746 3888 3936 4096 4131 4182 4352 4428 4608 4896 5184 5248 5508 5576 5619 5832 5904 6144 6273 6528 6642 6912 7344 7492 7776 7872 8192 8262 8364 8704 8856 9216 9792 9963 10368 10496 11016 11152 11238 11664 11808 12288 12393 12546 13056 13284 13824 14688 14984 15552 15744 16384 16524 16728 16857 17408 17712 18432 18819 19584 19926 20736 20992 22032 22304 22476 23328 23616 24576 24786 25092 26112 26568 27648 29376 29889 29968 31104 31488 31841 32768 33048 33456 33714 34816 35424 36864 37638 39168 39852 41472 41984 44064 44608 44952 46656 47232 49152 49572 50184 50571 52224 53136 55296 56457 58752 59778 59936 62208 62976 63682 65536 66096 66912 67428 69632 70848 73728 75276 76793 78336 79704 82944 83968 88128 89216 89904 93312 94464 95523 98304 99144 100368 101142 104448 106272 110592 112914 117504 119556 119872 124416 125952 127364 131072 132192 133824 134856 139264 141696 147456 150552 151713 153586 156672 159408 165888 167936 169371 176256 178432 179808 186624 188928 191046 196608 198288 200736 202284 208896 212544 221184 225828 230379 235008 239112 239744 248832 251904 254728 262144 264384 267648 269712 278528 283392 286569 294912 301104 303426 307172 313344 318816 331776 335872 338742 352512 356864 359616 373248 377856 382092 393216 396576 401472 404568 417792 425088 442368 451656 455139 460758 470016 478224 479488 497664 503808 508113 509456 524288 528768 535296 539424 557056 566784 573138 589824 602208 606852 614344 626688 637632 663552 671744 677484 691137 705024 713728 719232 746496 755712 764184 786432 793152 802944 809136 835584 850176 859707 884736 903312 910278 921516 940032 956448 958976 995328 1007616 1016226 1018912 1048576 1057536 1070592 1078848 1114112 1133568 1146276 1179648 1204416 1213704 1228688 1253376 1275264 1305481 1327104 1343488 1354968 1365417 1382274 1410048 1427456 1438464 1492992 1511424 1528368 1572864 1586304 1605888 1618272 1671168 1700352 1719414 1769472 1806624 1820556 1843032 1880064 1912896 1917952 1990656 2015232 2032452 2037824 2073411 2115072 2141184 2157696 2228224 2267136 2292552 2359296 2408832 2427408 2457376 2506752 2550528 2579121 2610962 2654208 2686976 2709936 2730834 2764548 2820096 2854912 2876928 2985984 3022848 3056736 3145728 3172608 3211776 3236544 3342336 3400704 3438828 3538944 3613248 3641112 3686064 3760128 3825792 3835904 3916443 3981312 4030464 4064904 4075648 4146822 4230144 4282368 4315392 4456448 4534272 4585104 4718592 4817664 4854816 4914752 5013504 5101056 5158242 5221924 5308416 5373952 5419872 5461668 5529096 5640192 5709824 5753856 5971968 6045696 6113472 6220233 6345216 6423552 6473088 6684672 6801408 6877656 7077888 7226496 7282224 7372128 7520256 7651584 7671808 7737363 7832886 7962624 8060928 8129808 8151296 8293644 8460288 8564736 8630784 8912896 9068544 9170208 9437184 9635328 9709632 9829504 10027008 10202112 10316484 10443848 10616832 10747904 10839744 10923336 11058192 11280384 11419648 11507712 11749329 11943936 12091392 12226944 12440466 12690432 12847104 12946176 13369344 13602816 13755312 14155776 14452992 14564448 14744256 15040512 15303168 15343616 15474726 15665772 15925248 16121856 16259616 16302592 16587288 16920576 17129472 17261568 17825792 18137088 18340416 18660699 19270656 19419264 19659008 20054016 20404224 20632968 20887696 21233664 21495808 21679488 21846672 22116384 22560768 22839296 23015424 23212089 23498658 23887872 24182784 24453888 24880932 25380864 25694208 25892352 26738688 27205632 27510624 28311552 28905984 29128896 29488512 30081024 30606336 30687232 30949452 31331544 31850496 32243712 32519232 32605184 33174576 33841152 34258944 34523136 35247987 36274176 36680832 37321398 38541312 38838528 39318016 40108032 40808448 41265936 41775392 42467328 42991616 43358976 43693344 44232768 45121536 45678592 46030848 46424178 46997316 47775744 48365568 48907776 49761864 50761728 51388416 51784704 53477376 54411264 55021248 55982097 57811968 58257792 58977024 60162048 61212672 61374464 61898904 62663088 63700992 64487424 65038464 65210368 66349152 67682304 68517888 69046272 70495974 72548352 73361664 74642796 77082624 77677056 78636032 80216064 81616896 82531872 83550784 84934656 86717952 87386688 88465536 90243072 91357184 92061696 92848356 93994632 95551488 96731136 97815552 99523728 101523456 102776832 103569408 105743961 108822528 110042496 111964194 115623936 116515584 117954048 120324096 122425344 122748928 123797808 125326176 127401984 128974848 130076928 130420736 132698304 135364608 137035776 138092544 140991948 145096704 146723328 149285592 154165248 155354112 157272064 160432128 163233792 165063744 167101568 173435904 174773376 176931072 180486144 182714368 184123392 185696712 187989264 191102976 193462272 195631104 199047456 203046912 205553664 207138816 211487922 217645056 220084992 223928388 231247872 233031168 235908096 240648192 244850688 245497856 247595616 250652352 254803968 260153856 260841472 265396608 270729216 274071552 276185088 281983896 290193408 293446656 298571184 308330496 310708224 314544128 317231883 326467584 330127488 334203136 346871808 349546752 353862144 360972288 365428736 368246784 371393424 375978528 382205952 386924544 391262208 398094912 406093824 411107328 414277632 422975844 435290112 440169984 447856776 462495744 466062336 471816192 481296384 489701376 490995712 495191232 501304704 520307712 521682944 530793216 541458432 548143104 552370176 563967792 580386816 586893312 597142368 616660992 621416448 629088256 634463766 652935168 660254976 668406272 693743616 699093504 707724288 721944576 730857472 736493568 742786848 751957056 764411904 782524416 796189824 812187648 822214656 828555264 845951688 870580224 880339968 895713552 924991488 932124672 943632384 951695649 979402752 981991424 990382464 1002609408 1040615424 1043365888 1061586432 1082916864 1096286208 1104740352 1127935584 1160773632 1173786624 1194284736 1233321984 1242832896 1258176512 1268927532 1305870336 1320509952 1336812544 1387487232 1398187008 1415448576 1443889152 1472987136 1485573696 1503914112 1565048832 1592379648 1624375296 1644429312 1657110528 1691903376 1741160448 1760679936 1791427104 1849982976 1864249344 1887264768 1903391298 1958805504 1963982848 1980764928 2005218816 2081230848 2086731776 2123172864 2165833728 2192572416 2209480704 2255871168 2347573248 2388569472 2466643968 2485665792 2516353024 2537855064 2611740672 2641019904 2673625088 2774974464 2796374016 2830897152 2945974272 2971147392 3007828224 3130097664 3184759296 3248750592 3288858624 3314221056 3383806752 3482320896 3521359872 3582854208 3699965952 3728498688 3774529536 3806782596 3917611008 3961529856 4010437632 4162461696 4173463552 4246345728 4331667456 4418961408 4511742336 4695146496 4777138944 4933287936 4971331584 5032706048 5075710128 5223481344 5282039808 5347250176 5549948928 5592748032 5661794304 5891948544 5942294784 6015656448 6260195328 6369518592 6497501184 6577717248 6628442112 6767613504 7042719744 7165708416 7399931904 7456997376 7549059072 7613565192 7835222016 7923059712 8020875264 8324923392 8346927104 8492691456 8837922816 9023484672 9390292992 9554277888 9866575872 9942663168 10065412096 10151420256 10446962688 10564079616 10694500352 11099897856 11185496064 11323588608 11884589568 12031312896 12520390656 12739037184 12995002368 13256884224 13535227008 14085439488 14331416832 14799863808 14913994752 15098118144 15227130384 15670444032 15846119424 16041750528 16649846784 16693854208 16985382912 17675845632 18046969344 18780585984 19108555776 19733151744 19885326336 20130824192 20302840512 21128159232 21389000704 22199795712 22370992128 22647177216 23769179136 24062625792 25040781312 25478074368 26513768448 27070454016 28170878976 28662833664 29599727616 29827989504 30196236288 30454260768 31340888064 31692238848 32083501056 33299693568 33387708416 33970765824 36093938688 37561171968 38217111552 39770652672 40261648384 40605681024 42256318464 42778001408 44399591424 44741984256 45294354432 47538358272 48125251584 50081562624 50956148736 53027536896 54140908032 56341757952 57325667328 59199455232 59655979008 60392472576 60908521536 63384477696 64167002112 66599387136 67941531648 72187877376 75122343936 76434223104 79541305344 80523296768 81211362048 84512636928 85556002816 88799182848 89483968512 90588708864 95076716544 96250503168 100163125248 101912297472 108281816064 112683515904 114651334656 119311958016 120784945152 121817043072 126768955392 128334004224 133198774272 135883063296 144375754752 150244687872 152868446208 159082610688 162422724096 169025273856 171112005632 177598365696 178967937024 181177417728 190153433088 192501006336 203824594944 216563632128 225367031808 229302669312 238623916032 241569890304 243634086144 253537910784 256668008448 266397548544 271766126592 288751509504 300489375744 305736892416 324845448192 338050547712 342224011264 357935874048 362354835456 380306866176 385002012672 407649189888 433127264256 450734063616 458605338624 477247832064 487268172288 507075821568 513336016896 532795097088 543532253184 577503019008 611473784832 649690896384 676101095424 684448022528 715871748096 724709670912 760613732352 770004025344 815298379776 866254528512 901468127232 917210677248 974536344576 1014151643136 1026672033792 1087064506368 1155006038016 1222947569664 1299381792768 1352202190848 1368896045056 1431743496192 1521227464704 1540008050688 1630596759552 1732509057024 1834421354496 1949072689152 2028303286272 2053344067584 2174129012736 2310012076032 2445895139328 2598763585536 2704404381696 3042454929408 3080016101376 3261193519104 3465018114048 3668842708992 3898145378304 4056606572544 4106688135168 4620024152064 4891790278656 5197527171072 6084909858816 6160032202752 6522387038208 6930036228096 7337685417984 7796290756608 8113213145088 9240048304128 9783580557312 10395054342144 12169819717632 12320064405504 13860072456192 14675370835968 15592581513216 18480096608256 19567161114624 20790108684288 24339639435264 27720144912384 29350741671936 31185163026432 36960193216512 41580217368576 55440289824768 58701483343872 62370326052864 83160434737152 110880579649536 124740652105728 166320869474304 249481304211456 332641738948608 498962608422912 997925216845824
• Sum of all divisors σ(n): 3247440823303992
• Sum of proper divisors (its aliquot sum) s(n): 2249515606458168
• 997925216845824 is an abundant number, because the sum of its proper divisors (2249515606458168) is greater than itself. Its abundance is 1251590389612344

Bases of 997925216845824

• Binary: 11100010111001101110010010000100000000000000000000₂
• Hexadecimal: 0x38B9B92100000
• Base-36: 9TQGIKG000

Squares and roots of 997925216845824

• 997925216845824 squared (997925216845824²) is 995854738416784852511386238976
• 997925216845824 cubed (997925216845824³) is 993788555781511360234591886080143173011636224
• The square root of 997925216845824 is 31589954.3659978083
• The cube root of 997925216845824 is 99930.7926760399

Scales and comparisons

• 997,925,216,845,824 seconds is equal to 31,730,935 years, 5 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 997,925,216,845,824 would take you about seventy-nine million, three hundred twenty-seven thousand, three hundred thirty-seven 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 997925216845824 cubic inches would be around 8327.6 feet tall.

Recreational maths with 997925216845824

• 997925216845824 backwards is 428548612529799
• 997925216845824 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 997925216845824's digits is 81
• More coming soon!