90948793264000

Names of 90948793264000

• Cardinal: 90948793264000 can be written as Ninety trillion, nine hundred forty-eight billion, seven hundred ninety-three million, two hundred sixty-four thousand.

Scientific notation

• Scientific notation: 9.0948793264 × 10¹³

Factors of 90948793264000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 77197

Divisors of 90948793264000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 80 100 112 122 125 128 140 160 173 175 200 224 244 250 280 305 320 346 350 400 427 448 488 500 560 610 640 692 700 800 854 865 875 896 976 1000 1120 1211 1220 1384 1400 1525 1600 1708 1730 1750 1952 2000 2135 2240 2422 2440 2768 2800 3050 3200 3416 3460 3500 3904 4000 4270 4325 4480 4844 4880 5536 5600 6055 6100 6832 6920 7000 7625 7808 8000 8540 8650 9688 9760 10553 10675 11072 11200 12110 12200 13664 13840 14000 15250 16000 17080 17300 19376 19520 21106 21350 21625 22144 22400 24220 24400 27328 27680 28000 30275 30500 34160 34600 38752 39040 42212 42700 43250 48440 48800 52765 53375 54656 55360 56000 60550 61000 68320 69200 73871 76949 77504 84424 85400 86500 96880 97600 105530 106750 110720 112000 121100 122000 136640 138400 147742 151375 153898 155008 168848 170800 173000 193760 195200 211060 213500 242200 244000 263825 273280 276800 295484 302750 307796 337696 341600 346000 369355 384745 387520 422120 427000 484400 488000 527650 538643 553600 590968 605500 615592 675392 683200 692000 738710 769490 775040 844240 854000 968800 976000 1055300 1077286 1181936 1211000 1231184 1319125 1350784 1366400 1384000 1477420 1538980 1688480 1708000 1846775 1923725 1937600 2110600 2154572 2363872 2422000 2462368 2638250 2693215 2768000 2954840 3077960 3376960 3416000 3693550 3847450 3875200 4221200 4309144 4693889 4727744 4844000 4924736 5276500 5386430 5909680 6155920 6753920 6832000 7387100 7694900 8442400 8618288 9233875 9387778 9455488 9618625 9688000 9849472 10553000 10772860 11819360 12311840 13312177 13466075 14774200 15389800 16884800 17236576 18467750 18775556 19237250 19376000 21106000 21545720 23469445 23638720 24623680 26624354 26932150 29548400 30779600 32857223 33769600 34473152 36935500 37551112 38474500 42212000 43091440 46938890 47277440 49247360 53248708 53864300 59096800 61559200 65714446 66560885 67330375 68946304 73871000 75102224 76949000 84424000 86182880 93185239 93877780 106497416 107728600 117347225 118193600 123118400 131428892 133121770 134660750 147742000 150204448 153898000 164286115 168848000 172365760 186370478 187755560 212994832 215457200 234694450 236387200 246236800 262857784 266243540 269321500 295484000 300408896 307796000 328572230 332804425 344731520 372740956 375511120 425989664 430914400 465926195 469388900 525715568 532487080 538643000 586736125 590968000 600817792 615592000 657144460 665608850 745481912 751022240 812042797 821430575 851979328 861828800 931852390 938777800 1051431136 1064974160 1077286000 1173472250 1181936000 1231184000 1314288920 1331217700 1490963824 1502044480 1624085594 1642861150 1664022125 1703958656 1723657600 1863704780 1877555600 2102862272 2129948320 2154572000 2329630975 2346944500 2628577840 2662435400 2981927648 3004088960 3248171188 3285722300 3328044250 3727409560 3755111200 4060213985 4107152875 4205724544 4259896640 4309144000 4659261950 4693889000 5257155680 5324870800 5684299579 5963855296 6496342376 6571444600 6656088500 7454819120 7510222400 8120427970 8214305750 8519793280 8618288000 9318523900 9387778000 10514311360 10649741600 11368599158 11648154875 11927710592 12992684752 13142889200 13312177000 14909638240 15020444800 16240855940 16428611500 18637047800 18775556000 20301069925 21028622720 21299483200 22737198316 23296309750 25985369504 26285778400 26624354000 28421497895 29819276480 32481711880 32857223000 37274095600 37551112000 40602139850 42598966400 45474396632 46592619500 51970739008 52571556800 53248708000 56842995790 59638552960 64963423760 65714446000 74548191200 75102224000 81204279700 90948793264 93185239000 101505349625 103941478016 105143113600 106497416000 113685991580 129926847520 131428892000 142107489475 149096382400 162408559400 181897586528 186370478000 203010699250 212994832000 227371983160 259853695040 262857784000 284214978950 298192764800 324817118800 363795173056 372740956000 406021398500 454743966320 519707390080 525715568000 568429957900 649634237600 710537447375 727590346112 745481912000 812042797000 909487932640 1136859915800 1299268475200 1421074894750 1490963824000 1624085594000 1818975865280 2273719831600 2598536950400 2842149789500 3248171188000 3637951730560 4547439663200 5684299579000 6496342376000 9094879326400 11368599158000 12992684752000 18189758652800 22737198316000 45474396632000 90948793264000
• Sum of all divisors σ(n): 264182671584000
• Sum of proper divisors (its aliquot sum) s(n): 173233878320000
• 90948793264000 is an abundant number, because the sum of its proper divisors (173233878320000) is greater than itself. Its abundance is 82285085056000

Bases of 90948793264000

• Binary: 10100101011011110101010100000111110011110000000₂
• Hexadecimal: 0x52B7AA83E780
• Base-36: W8LARA4CG

Squares and roots of 90948793264000

• 90948793264000 squared (90948793264000²) is 8271682996177811773696000000
• 90948793264000 cubed (90948793264000³) is 752299586764719905189782657183744000000000
• The square root of 90948793264000 is 9536707.6742448177
• The cube root of 90948793264000 is 44970.9760602343

Scales and comparisons

• 90,948,793,264,000 seconds is equal to 2,891,890 years, 15 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 90,948,793,264,000 would take you about seven million, two hundred twenty-nine thousand, seven hundred twenty-five 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 90948793264000 cubic inches would be around 3747.6 feet tall.

Recreational maths with 90948793264000

• 90948793264000 backwards is 00046239784909
• 90948793264000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 90948793264000's digits is 61
• More coming soon!