40648400800

Names of 40648400800

• Cardinal: 40648400800 can be written as Forty billion, six hundred forty-eight million, four hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 4.06484008 × 10¹⁰

Factors of 40648400800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 549

Divisors of 40648400800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 68 70 80 85 98 100 112 119 136 140 160 170 175 181 196 200 224 238 245 272 280 337 340 350 362 392 400 425 476 490 544 560 595 674 680 700 724 784 800 833 850 905 952 980 1120 1190 1225 1267 1348 1360 1400 1448 1568 1666 1685 1700 1810 1904 1960 2359 2380 2450 2534 2696 2720 2800 2896 2975 3077 3332 3370 3400 3620 3808 3920 4165 4525 4718 4760 4900 5068 5392 5600 5729 5792 5950 6154 6335 6664 6740 6800 7240 7840 8330 8425 8869 9050 9436 9520 9800 10136 10784 11458 11795 11900 12308 12670 13328 13480 13600 14480 15385 16513 16660 16850 17738 18100 18872 19040 19600 20272 20825 21539 22916 23590 23800 24616 25340 26656 26960 28645 28960 30770 31675 33026 33320 33700 35476 36200 37744 39200 40103 40544 41650 43078 44345 45832 47180 47600 49232 50680 53920 57290 58975 60997 61540 63350 66052 66640 67400 70952 72400 75488 76925 80206 82565 83300 86156 88690 91664 94360 95200 98464 101360 107695 114580 117950 121994 123080 126700 132104 133280 134800 141904 143225 144800 150773 153850 160412 165130 166600 172312 177380 183328 188720 200515 202720 215390 221725 229160 235900 243988 246160 253400 264208 269600 280721 283808 286450 301546 304985 307700 320824 330260 333200 344624 354760 377440 401030 412825 426979 430780 443450 458320 471800 487976 492320 506800 528416 538475 561442 572900 603092 609970 615400 641648 660520 666400 689248 709520 753865 802060 825650 853958 861560 886900 916640 943600 975952 1002575 1013600 1036949 1076950 1122884 1145800 1206184 1219940 1230800 1283296 1321040 1403605 1419040 1507730 1524925 1604120 1651300 1707916 1723120 1773800 1887200 1951904 2005150 2073898 2134895 2153900 2245768 2291600 2412368 2439880 2461600 2642080 2807210 2988853 3015460 3049850 3208240 3302600 3415832 3446240 3547600 3769325 4010300 4147796 4269790 4307800 4491536 4583200 4824736 4879760 5184745 5614420 5977706 6030920 6099700 6416480 6605200 6831664 7018025 7095200 7258643 7538650 8020600 8295592 8539580 8615600 8983072 9759520 10369490 10674475 11228840 11955412 12061840 12199400 13210400 13663328 14036050 14517286 14944265 15077300 16041200 16591184 17079160 17231200 20738980 21348950 22457680 23910824 24123680 24398800 25923725 28072100 29034572 29888530 30154600 32082400 33182368 34158320 36293215 41477960 42697900 44915360 47821648 48797600 50810501 51847450 56144200 58069144 59777060 60309200 68316640 72586430 74721325 82955920 85395800 95643296 101621002 103694900 112288400 116138288 119554120 120618400 145172860 149442650 165911840 170791600 181466075 203242004 207389800 224576800 232276576 239108240 254052505 290345720 298885300 341583200 362932150 406484008 414779600 478216480 508105010 580691440 597770600 725864300 812968016 829559200 1016210020 1161382880 1195541200 1270262525 1451728600 1625936032 2032420040 2391082400 2540525050 2903457200 4064840080 5081050100 5806914400 8129680160 10162100200 20324200400 40648400800
• Sum of all divisors σ(n): 123264407448
• Sum of proper divisors (its aliquot sum) s(n): 82616006648
• 40648400800 is an abundant number, because the sum of its proper divisors (82616006648) is greater than itself. Its abundance is 41967605848

Bases of 40648400800

• Binary: 100101110110110101010101111110100000₂
• Hexadecimal: 0x976D55FA0
• Base-36: IO90ASG

Squares and roots of 40648400800

• 40648400800 squared (40648400800²) is 1652292487597440640000
• 40648400800 cubed (40648400800³) is 67163047274689796188928512000000
• The square root of 40648400800 is 201614.4855906937
• The cube root of 40648400800 is 3438.3320966123

Scales and comparisons

• 40,648,400,800 seconds is equal to 1,292 years, 25 weeks, 4 days, 14 hours, 26 minutes, 40 seconds.
• To count from 1 to 40,648,400,800 would take you about two thousand, five hundred eighty-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 40648400800 cubic inches would be around 286.5 feet tall.

Recreational maths with 40648400800

• 40648400800 backwards is 00800484604
• 40648400800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40648400800's digits is 34
• More coming soon!