997628289803712
997,628,289,803,712 is an even composite number composed of five prime numbers multiplied together.
What does the number 997628289803712 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1638 divisors.
997628289803712 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-eight divisors.
Prime factorization of 997628289803712:
26 × 312 × 7 × 232 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 997628289803712 from the Numbermatics database.
Names of 997628289803712
- Cardinal: 997628289803712 can be written as Nine hundred ninety-seven trillion, six hundred twenty-eight billion, two hundred eighty-nine million, eight hundred three thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 9.97628289803712 × 1014
Factors of 997628289803712
Divisors of 997628289803712
- Number of divisors d(n): 1638
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 81 84 89 92 96 108 112 126 138 144 161 162 168 178 184 189 192 207 216 224 243 252 267 276 288 322 324 336 356 368 378 414 432 448 483 486 504 529 534 552 567 576 621 623 644 648 672 712 729 736 756 801 828 864 966 972 1008 1058 1068 1104 1134 1242 1246 1288 1296 1344 1424 1449 1458 1472 1512 1587 1602 1656 1701 1728 1863 1869 1932 1944 2016 2047 2116 2136 2187 2208 2268 2403 2484 2492 2576 2592 2848 2898 2916 3024 3174 3204 3312 3402 3703 3726 3738 3864 3888 4032 4094 4232 4272 4347 4374 4416 4536 4761 4806 4968 4984 5103 5152 5184 5589 5607 5696 5796 5832 6048 6141 6348 6408 6561 6624 6804 7209 7406 7452 7476 7728 7776 7921 8188 8464 8544 8694 8748 9072 9522 9612 9936 9968 10206 10304 11109 11178 11214 11592 11664 12096 12282 12696 12816 13041 13122 13248 13608 14283 14329 14418 14812 14904 14952 15309 15456 15552 15842 16376 16767 16821 16928 17088 17388 17496 18144 18423 19044 19224 19683 19872 19936 20412 21627 22218 22356 22428 23184 23328 23763 24564 25392 25632 26082 26244 27216 28566 28658 28836 29624 29808 29904 30618 30912 31684 32752 33327 33534 33642 33856 34776 34992 36288 36846 38088 38448 39123 39366 39744 39872 40824 42849 42987 43254 44436 44712 44856 45927 46368 46656 47081 47526 49128 50301 50463 50784 51264 52164 52488 54432 55269 55447 57132 57316 57672 59049 59248 59616 59808 61236 63368 64881 65504 66654 67068 67284 69552 69984 71289 73692 76176 76896 78246 78732 81648 85698 85974 86508 88872 89424 89712 91854 92736 94162 95052 98256 99981 100602 100926 101568 104328 104976 108864 110538 110894 114264 114632 115344 117369 118098 118496 119232 119616 122472 126736 128547 128961 129762 131008 133308 134136 134568 137781 139104 139968 141243 142578 147384 150903 151389 152352 153792 156492 157464 163296 165807 166341 171396 171948 173016 177147 177744 178848 179424 182183 183708 188324 190104 194643 196512 199962 201204 201852 208656 209952 213867 221076 221788 228528 229264 230688 234738 236196 236992 244944 253472 257094 257922 259524 266616 268272 269136 275562 278208 282486 285156 294768 299943 301806 302778 304704 312984 314928 326592 329567 331614 332682 342792 343896 346032 352107 354294 355488 357696 358848 364366 367416 376648 380208 385641 386883 389286 393024 399924 402408 403704 413343 417312 419904 423729 427734 442152 443576 452709 454167 457056 458528 461376 469476 472392 489888 497421 499023 506944 514188 515844 519048 531441 533232 536544 538272 546549 551124 564972 570312 583929 589536 599886 603612 605556 625968 629856 641601 659134 663228 665364 685584 687792 692064 704214 708588 710976 728732 734832 753296 760416 771282 773766 778572 799848 804816 807408 826686 834624 847458 855468 884304 887152 899829 905418 908334 914112 917056 938952 944784 979776 988701 994842 998046 1028376 1031688 1038096 1056321 1062882 1066464 1073088 1076544 1093098 1102248 1129944 1140624 1156923 1160649 1167858 1179072 1199772 1207224 1211112 1240029 1251936 1259712 1271187 1275281 1283202 1318268 1326456 1330728 1358127 1362501 1371168 1375584 1384128 1408428 1417176 1457464 1469664 1492263 1497069 1506592 1520832 1542564 1547532 1557144 1599696 1609632 1614816 1639647 1653372 1694916 1710936 1751787 1768608 1774304 1799658 1810836 1816668 1877904 1889568 1924803 1977402 1989684 1996092 2056752 2063376 2076192 2112642 2125764 2132928 2186196 2204496 2259888 2281248 2313846 2321298 2335716 2399544 2414448 2422224 2480058 2503872 2542374 2550562 2566404 2636536 2652912 2661456 2699487 2716254 2725002 2742336 2751168 2816856 2834352 2914928 2939328 2966103 2984526 2994138 3013184 3085128 3095064 3114288 3168963 3199392 3219264 3229632 3279294 3306744 3389832 3421872 3470769 3481947 3503574 3537216 3548608 3599316 3621672 3633336 3720087 3755808 3779136 3813561 3825843 3849606 3954804 3979368 3992184 4074381 4087503 4113504 4126752 4152384 4190209 4225284 4251528 4372392 4408992 4476789 4491207 4519776 4562496 4627692 4642596 4671432 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311369628528 314312630688 329903534988 342122184432 344247166944 350290832094 384887457486 387278062812 400332379536 401621694768 415159504704 439871379984 451824406614 456162912576 467054442792 471468946032 487361157696 494855302482 513183276648 516370750416 533776506048 535495593024 577331186229 586495173312 602432542152 622739257056 628625261376 659807069976 677736609921 684244368864 688494333888 700581664188 742282953723 769774914972 774556125624 800664759072 803243389536 879742759968 903648813228 934108885584 942937892064 989710604964 1026366553296 1032741500832 1154662372458 1204865084304 1245478514112 1319614139952 1355473219842 1368488737728 1401163328376 1484565907446 1539549829944 1549112251248 1601329518144 1606486779072 1731993558687 1759485519936 1807297626456 1868217771168 1885875784128 1979421209928 2052733106592 2065483001664 2226848861169 2309324744916 2409730168608 2639228279904 2710946439684 2802326656752 2969131814892 3079099659888 3098224502496 3463987117374 3614595252912 3736435542336 3958842419856 4105466213184 4453697722338 4618649489832 4819460337216 5195980676061 5278456559808 5421892879368 5604653313504 5938263629784 6158199319776 6196449004992 6927974234748 7229190505824 7917684839712 8907395444676 9237298979664 10391961352122 10843785758736 11209306627008 11876527259568 12316398639552 13855948469496 14458381011648 15587942028183 15835369679424 17814790889352 18474597959328 20783922704244 21687571517472 23753054519136 27711896938992 31175884056366 35629581778704 36949195918656 41567845408488 43375143034944 47506109038272 55423793877984 62351768112732 71259163557408 83135690816976 110847587755968 124703536225464 142518327114816 166271381633952 249407072450928 332542763267904 498814144901856 997628289803712
- Sum of all divisors σ(n): 3587993224672808
- Sum of proper divisors (its aliquot sum) s(n): 2590364934869096
- 997628289803712 is an abundant number, because the sum of its proper divisors (2590364934869096) is greater than itself. Its abundance is 1592736645065384
Bases of 997628289803712
- Binary: 111000101101010110011011111101010011100101110000002
- Hexadecimal: 0x38B566FD4E5C0
- Base-36: 9TMO3XR000
Squares and roots of 997628289803712
- 997628289803712 squared (9976282898037122) is 995262204616679176463488978944
- 997628289803712 cubed (9976282898037123) is 992901731098009724674080035308083401061040128
-
The
square root of 997628289803712 is 31585254.3096254331 -
The
cube root of 997628289803712 is 99920.8804108727
Scales and comparisons
How big is 997628289803712?- 997,628,289,803,712 seconds is equal to 31,721,493 years, 38 weeks, 6 days, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 997,628,289,803,712 would take you about seventy-nine million, three hundred three thousand, seven hundred thirty-four 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 997628289803712 cubic inches would be around 8326.7 feet tall.
Recreational maths with 997628289803712
- 997628289803712 backwards is 217308982826799
- 997628289803712 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 997628289803712's digits is 81
- More coming soon!
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"Number 997628289803712 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 997628289803712 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/997628289803712/
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The information we have on file for 997628289803712 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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