990977315328

Names of 990977315328

• Cardinal: 990977315328 can be written as Nine hundred ninety billion, nine hundred seventy-seven million, three hundred fifteen thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 9.90977315328 × 10¹¹

Factors of 990977315328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 19567

Divisors of 990977315328

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 64 66 72 77 78 84 88 91 96 99 104 112 117 121 126 128 132 143 144 154 156 168 176 182 192 198 208 224 231 234 242 252 256 264 273 286 288 308 312 336 352 363 364 384 396 416 429 448 462 468 484 504 512 528 546 572 576 616 624 672 693 704 726 728 768 792 819 832 847 858 896 924 936 968 1001 1008 1056 1089 1092 1144 1152 1232 1248 1287 1344 1386 1408 1452 1456 1536 1573 1584 1638 1664 1694 1716 1792 1848 1872 1936 2002 2016 2112 2178 2184 2288 2304 2464 2496 2541 2574 2688 2772 2816 2904 2912 3003 3146 3168 3276 3328 3388 3432 3584 3696 3744 3872 4004 4032 4224 4356 4368 4576 4608 4719 4928 4992 5082 5148 5376 5544 5632 5808 5824 6006 6292 6336 6552 6656 6776 6864 7392 7488 7623 7744 8008 8064 8448 8712 8736 9009 9152 9438 9856 9984 10164 10296 10752 11011 11088 11616 11648 12012 12584 12672 13104 13552 13728 14157 14784 14976 15246 15488 16016 16128 16896 17424 17472 18018 18304 18876 19531 19712 19968 20328 20592 22022 22176 23232 23296 24024 25168 25344 26208 27104 27456 28314 29568 29952 30492 30976 32032 32256 33033 34848 34944 36036 36608 37752 39062 39424 40656 41184 44044 44352 46464 46592 48048 50336 50688 52416 54208 54912 56628 58593 59136 59904 60984 61952 64064 66066 69696 69888 72072 73216 75504 78124 81312 82368 88088 88704 92928 96096 99099 100672 104832 108416 109824 113256 117186 118272 121968 128128 132132 136717 139392 139776 144144 151008 156248 162624 164736 175779 176176 177408 185856 192192 198198 201344 209664 214841 216832 219648 226512 234372 243936 253903 256256 264264 273434 278784 288288 302016 312496 325248 329472 351558 352352 354816 384384 396396 402688 410151 419328 429682 433664 453024 468744 487872 507806 512512 528528 546868 557568 576576 604032 624992 644523 650496 658944 703116 704704 761709 768768 792792 805376 820302 859364 906048 937488 975744 1015612 1057056 1093736 1153152 1208064 1230453 1249984 1289046 1300992 1406232 1409408 1503887 1523418 1537536 1585584 1640604 1718728 1777321 1812096 1874976 1933569 1951488 2031224 2114112 2187472 2285127 2306304 2363251 2416128 2460906 2499968 2578092 2792933 2812464 2818816 3007774 3046836 3171168 3281208 3437456 3554642 3624192 3749952 3867138 3902976 4062448 4228224 4374944 4511661 4570254 4612608 4726502 4921812 4999936 5156184 5331963 5585866 5624928 5637632 6015548 6093672 6342336 6562416 6874912 7089753 7109284 7248384 7499904 7734276 8124896 8378799 8456448 8749888 9023322 9140508 9453004 9843624 9999872 10312368 10663926 11171732 11249856 12031096 12187344 12684672 13124832 13534983 13749824 14179506 14218568 14999808 15468552 15995889 16249792 16542757 16757598 16912896 17499776 18046644 18281016 18906008 19550531 19687248 20624736 21269259 21327852 22343464 22499712 24062192 24374688 25136397 25369344 26249664 27069966 27499648 28359012 28437136 29999616 30722263 30937104 31991778 32499584 33085514 33515196 34999552 36093288 36562032 37812016 39101062 39374496 41249472 42538518 42655704 44686928 44999424 48124384 48749376 49628271 50272794 50738688 52499328 54139932 54999296 56718024 56874272 58651593 61444526 61874208 63983556 64999168 66171028 67030392 69999104 72186576 73124064 75624032 78202124 78748992 82498944 85077036 85311408 89373856 89998848 92166789 96248768 97498752 99256542 100545588 104998656 108279864 109998592 113436048 113748544 117303186 122889052 123748416 127967112 129998336 132342056 134060784 144373152 146248128 148884813 151248064 156404248 157497984 164997888 170154072 170622816 175954779 178747712 184333578 192497536 194997504 198513084 201091176 209997312 215055841 216559728 226872096 227497088 234606372 245778104 247496832 255934224 264684112 268121568 276500367 288746304 292496256 297769626 302496128 312808496 314995968 329995776 340308144 341245632 351909558 357495424 368667156 384995072 389995008 397026168 402182352 430111682 433119456 453744192 454994176 469212744 491556208 494993664 511868448 529368224 536243136 553000734 577492608 584992512 595539252 604992256 625616992 629991936 645167523 680616288 682491264 703819116 714990848 737334312 769990144 794052336 804364704 860223364 866238912 907488384 909988352 938425488 983112416 989987328 1023736896 1058736448 1072486272 1106001468 1154985216 1169985024 1191078504 1209984512 1251233984 1290335046 1361232576 1364982528 1407638232 1429981696 1474668624 1588104672 1608729408 1720446728 1732477824 1814976768 1876850976 1935502569 1966224832 2047473792 2117472896 2144972544 2212002936 2309970432 2382157008 2502467968 2580670092 2722465152 2729965056 2815276464 2949337248 3176209344 3217458816 3440893456 3464955648 3629953536 3753701952 3871005138 3932449664 4094947584 4234945792 4289945088 4424005872 4764314016 5004935936 5161340184 5444930304 5630552928 5898674496 6352418688 6434917632 6881786912 6929911296 7507403904 7742010276 7864899328 8189895168 8469891584 8848011744 9528628032 10009871872 10322680368 10889860608 11261105856 11797348992 12704837376 12869835264 13763573824 15014807808 15484020552 15729798656 17696023488 19057256064 20645360736 22522211712 23594697984 25409674752 27527147648 30029615616 30968041104 35392046976 38114512128 41290721472 45044423424 47189395968 55054295296 61936082208 70784093952 76229024256 82581442944 90088846848 110108590592 123872164416 141568187904 165162885888 247744328832 330325771776 495488657664 990977315328
• Sum of all divisors σ(n): 3869326388928
• Sum of proper divisors (its aliquot sum) s(n): 2878349073600
• 990977315328 is an abundant number, because the sum of its proper divisors (2878349073600) is greater than itself. Its abundance is 1887371758272

Bases of 990977315328

• Binary: 1110011010111010110110011101001000000000₂
• Hexadecimal: 0xE6BAD9D200
• Base-36: CN8YB280

Squares and roots of 990977315328

• 990977315328 squared (990977315328²) is 982036039494690343747584
• 990977315328 cubed (990977315328³) is 973175437973790014557666262806167552
• The square root of 990977315328 is 995478.4353907421
• The cube root of 990977315328 is 9969.8334740047

Scales and comparisons

• 990,977,315,328 seconds is equal to 31,510 years, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 990,977,315,328 would take you about sixty-three thousand and twenty 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 990977315328 cubic inches would be around 830.8 feet tall.

Recreational maths with 990977315328

• 990977315328 backwards is 823513779099
• 990977315328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 990977315328's digits is 63
• More coming soon!