456480828960

Names of 456480828960

• Cardinal: 456480828960 can be written as Four hundred fifty-six billion, four hundred eighty million, eight hundred twenty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.5648082896 × 10¹¹

Factors of 456480828960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 8004

Divisors of 456480828960

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 65 78 80 87 96 104 116 120 130 145 156 160 174 195 208 232 240 260 290 312 331 348 377 390 416 435 464 480 520 580 624 662 696 754 780 870 928 993 1040 1131 1160 1248 1324 1392 1508 1560 1655 1740 1885 1986 2080 2262 2320 2648 2784 3016 3120 3310 3480 3770 3972 4303 4524 4640 4965 5296 5655 6032 6240 6620 6960 7540 7621 7944 8606 9048 9599 9930 10592 11310 12064 12909 13240 13920 15080 15242 15888 17212 18096 19198 19860 21515 22620 22863 25818 26480 28797 30160 30484 31776 34424 36192 38105 38396 39720 43030 45240 45726 47995 51636 52960 57594 60320 60968 64545 68848 76210 76792 79440 86060 90480 91452 95990 99073 103272 114315 115188 121936 124787 129090 137696 143985 152420 153584 158880 172120 180960 182904 191980 198146 206544 221009 228630 230376 243872 249574 258180 287970 297219 304840 307168 344240 365808 374361 383960 396292 413088 442018 457260 460752 495365 499148 516360 575940 594438 609680 623935 663027 688480 731616 748722 767920 792584 884036 914520 921504 990730 998296 1032720 1105045 1151880 1188876 1219360 1247870 1326054 1486095 1497444 1535840 1585168 1768072 1829040 1871805 1981460 1996592 2065440 2210090 2303760 2377752 2495740 2522551 2652108 2873117 2972190 2994888 3170336 3315135 3536144 3658080 3743610 3962920 3993184 4420180 4607520 4755504 4991480 5045102 5304216 5746234 5944380 5989776 6630270 7072288 7487220 7567653 7925840 8619351 8840360 9511008 9982960 10090204 10608432 11492468 11888760 11979552 12612755 13260540 14365585 14974440 15135306 15851680 17238702 17680720 19965920 20180408 21216864 22984936 23777520 25225510 26521080 28731170 29948880 30270612 32793163 34477404 35361440 37838265 40360816 43096755 45969872 47555040 50451020 53042160 57462340 59897760 60541224 65586326 68954808 73153979 75676530 80721632 86193510 91939744 98379489 100902040 106084320 114924680 121082448 131172652 137909616 146307958 151353060 163965815 172387020 196758978 201804080 219461937 229849360 242164896 262345304 275819232 292615916 302706120 327931630 344774040 365769895 393517956 403608160 438923874 459698720 491897445 524690608 585231832 605412240 655863260 689548080 731539790 787035912 877847748 951001727 983794890 1049381216 1097309685 1170463664 1210824480 1311726520 1379096160 1463079580 1574071824 1755695496 1902003454 1967589780 2194619370 2340927328 2623453040 2853005181 2926159160 3148143648 3511390992 3804006908 3935179560 4389238740 4755008635 5246906080 5706010362 5852318320 7022781984 7608013816 7870359120 8778477480 9510017270 11412020724 11704636640 14265025905 15216027632 15740718240 17556954960 19020034540 22824041448 28530051810 30432055264 35113909920 38040069080 45648082896 57060103620 76080138160 91296165792 114120207240 152160276320 228240414480 456480828960
• Sum of all divisors σ(n): 1606971260160
• Sum of proper divisors (its aliquot sum) s(n): 1150490431200
• 456480828960 is an abundant number, because the sum of its proper divisors (1150490431200) is greater than itself. Its abundance is 694009602240

Bases of 456480828960

• Binary: 110101001001000011000001010111000100000₂
• Hexadecimal: 0x6A4860AE20
• Base-36: 5TPCWDUO

Squares and roots of 456480828960

• 456480828960 squared (456480828960²) is 208374747208008774681600
• 456480828960 cubed (456480828960³) is 95119077339842291017610628059136000
• The square root of 456480828960 is 675633.6499612789
• The cube root of 456480828960 is 7699.7066788811

Scales and comparisons

• 456,480,828,960 seconds is equal to 14,514 years, 35 weeks, 1 day, 22 hours, 16 minutes.
• To count from 1 to 456,480,828,960 would take you about twenty-nine thousand and twenty-nine 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 456480828960 cubic inches would be around 641.6 feet tall.

Recreational maths with 456480828960

• 456480828960 backwards is 069828084654
• 456480828960 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 456480828960's digits is 60
• More coming soon!