980348016112844800

Names of 980348016112844800

• Cardinal: 980348016112844800 can be written as Nine hundred eighty quadrillion, three hundred forty-eight trillion, sixteen billion, one hundred twelve million, eight hundred forty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 9.803480161128448 × 10¹⁷

Factors of 980348016112844800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2281

Divisors of 980348016112844800

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 29 32 38 40 50 58 64 76 80 95 100 116 128 145 152 160 190 200 232 256 290 304 320 349 361 380 400 464 475 512 551 580 608 640 698 722 725 760 800 928 950 1024 1102 1160 1216 1280 1396 1444 1450 1520 1600 1745 1805 1856 1877 1900 2048 2204 2320 2432 2560 2755 2792 2888 2900 3040 3200 3490 3610 3712 3754 3800 4096 4408 4640 4864 5120 5510 5584 5776 5800 6080 6400 6631 6980 7220 7424 7508 7600 8192 8725 8816 9025 9280 9385 9728 10121 10240 10469 11020 11168 11552 11600 12160 12800 13262 13775 13960 14440 14848 15016 15200 16384 17450 17632 18050 18560 18770 19456 20242 20480 20938 22040 22336 23104 23200 24320 25600 26524 27550 27920 28880 29696 30032 30400 33155 34900 35264 35663 36100 37120 37540 38912 40484 40960 41876 44080 44672 46208 46400 46925 48640 50605 51200 52345 53048 54433 55100 55840 57760 59392 60064 60800 66310 69800 70528 71326 72200 74240 75080 77824 80968 81920 83752 88160 89344 92416 92800 93850 97280 101210 102400 104690 106096 108866 110200 111680 115520 118784 120128 121600 121801 125989 132620 139600 141056 142652 144400 148480 150160 155648 161936 165775 167504 176320 178315 178688 184832 185600 187700 192299 194560 202420 204800 209380 212192 217732 220400 223360 231040 237568 240256 243200 243602 251978 253025 261725 265240 272165 279200 282112 285304 288800 296960 300320 311296 323872 331550 335008 352640 356630 357376 369664 371200 375400 384598 389120 404840 409600 418760 424384 435464 440800 446720 462080 475136 480512 486400 487204 503956 506050 523450 530480 544330 558400 564224 570608 577600 593920 600640 609005 629945 647744 655073 663100 670016 677597 705280 713260 714752 739328 742400 750800 769196 778240 809680 837520 848768 870928 881600 891575 893440 924160 961024 961495 972800 974408 1007912 1012100 1034227 1046900 1060960 1088660 1116800 1128448 1141216 1155200 1187840 1201280 1218010 1259890 1295488 1310146 1326200 1340032 1355194 1360825 1410560 1426520 1429504 1478656 1484800 1501600 1538392 1556480 1619360 1675040 1697536 1741856 1763200 1783150 1786880 1848320 1922048 1922990 1945600 1948816 2015824 2024200 2068454 2093800 2121920 2177320 2233600 2256896 2282432 2310400 2314219 2375680 2402560 2436020 2519780 2590976 2620292 2652400 2680064 2710388 2721650 2821120 2853040 2859008 2957312 2969600 3003200 3045025 3076784 3149725 3238720 3275365 3350080 3387985 3395072 3483712 3526400 3532229 3566300 3573760 3653681 3696640 3844096 3845980 3891200 3897632 4031648 4048400 4136908 4187600 4243840 4354640 4467200 4513792 4564864 4620800 4628438 4805120 4807475 4872040 5039560 5171135 5181952 5240584 5304800 5360128 5420776 5443300 5642240 5706080 5718016 5914624 5939200 6006400 6090050 6153568 6299450 6477440 6550730 6700160 6775970 6790144 6967424 7052800 7064458 7132600 7147520 7307362 7393280 7688192 7691960 7782400 7795264 8063296 8096800 8273816 8375200 8487680 8709280 8934400 9027584 9129728 9241600 9256876 9610240 9614950 9744080 10079120 10342270 10363904 10481168 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54312909479936 55600500006400 56180402069504 59835694342825 64496580007424 65286895052800 66025593757600 67891136849920 70225502586880 71168640008192 73921581670400 76589688758816 80620725009280 84512760009728 84863921062400 87781878233600 88960800010240 93642947379200 95737110948520 96862762188800 100775906261600 104459032084480 105640950012160 108625818959872 111201000012800 112360804139008 119671388685650 128993160014848 130573790105600 132051187515200 135782273699840 140451005173760 147843163340800 153179377517632 161241450018560 169025520019456 169727842124800 175563756467200 177921600020480 191474221897040 201551812523200 211281900024320 222402000025600 239342777371300 257986320029696 261147580211200 264102375030400 271564547399680 280902010347520 306358755035264 322482900037120 338051040038912 339455684249600 351127512934400 355843200040960 382948443794080 403103625046400 422563800048640 444804000051200 478685554742600 515972640059392 522295160422400 528204750060800 543129094799360 561804020695040 612717510070528 644965800074240 676102080077824 678911368499200 702255025868800 765896887588160 806207250092800 845127600097280 889608000102400 957371109485200 1031945280118784 1056409500121600 1225435020141056 1289931600148480 1352204160155648 1357822736998400 1404510051737600 1531793775176320 1612414500185600 1690255200194560 1779216000204800 1914742218970400 2063890560237568 2112819000243200 2450870040282112 2579863200296960 2715645473996800 2809020103475200 3063587550352640 3224829000371200 3380510400389120 3829484437940800 4225638000486400 4901740080564224 5159726400593920 6127175100705280 6449658000742400 6761020800778240 7658968875881600 8451276000972800 9803480161128448 10319452801187840 12254350201410560 12899316001484800 15317937751763200 16902552001945600 19606960322256896 24508700402821120 25798632002969600 30635875503526400 33805104003891200 39213920644513792 49017400805642240 51597264005939200 61271751007052800 98034801611284480 122543502014105600 196069603222568960 245087004028211200 490174008056422400 980348016112844800
• Sum of all divisors σ(n): 2663405057074271580
• Sum of proper divisors (its aliquot sum) s(n): 1683057040961426780
• 980348016112844800 is an abundant number, because the sum of its proper divisors (1683057040961426780) is greater than itself. Its abundance is 702709024848581980

Bases of 980348016112844800

• Binary: 110110011010111001010101001110011000101010100100000000000000₂
• Hexadecimal: 0xD9AE55398AA4000
• Base-36: 7G4WD98DWHZ4

Squares and roots of 980348016112844800

• 980348016112844800 squared (980348016112844800²) is 961082232696390607604567548887040000
• 980348016112844800 cubed (980348016112844800³) is 942195060145209994858349967926408576253288251392000000
• The square root of 980348016112844800 is 990125252.7396949489
• The cube root of 980348016112844800 is 993405.9528189851

Scales and comparisons

• 980,348,016,112,844,800 seconds is equal to 31,172,034,496 years, 45 weeks, 2 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 980,348,016,112,844,800 would take you about ninety-three billion, five hundred sixteen million, one hundred three thousand, four hundred ninety 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 980348016112844800 cubic inches would be around 82783.8 feet tall.

Recreational maths with 980348016112844800

• 980348016112844800 backwards is 008448211610843089
• The number of decimal digits it has is: 18
• The sum of 980348016112844800's digits is 67
• More coming soon!