506728734720
506,728,734,720 is an even composite number composed of five prime numbers multiplied together.
506728734720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 506728734720:
213 × 3 × 5 × 133 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 1877)See below for interesting mathematical facts about the number 506728734720 from the Numbermatics database.
Names of 506728734720
- Cardinal: 506728734720 can be written as Five hundred six billion, seven hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 5.0672873472 × 1011
Factors of 506728734720
Divisors of 506728734720
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 312 320 338 384 390 416 480 507 512 520 624 640 676 768 780 832 845 960 1014 1024 1040 1248 1280 1352 1536 1560 1664 1690 1877 1920 2028 2048 2080 2197 2496 2535 2560 2704 3072 3120 3328 3380 3754 3840 4056 4096 4160 4394 4992 5070 5120 5408 5631 6144 6240 6591 6656 6760 7508 7680 8112 8192 8320 8788 9385 9984 10140 10240 10816 10985 11262 12288 12480 13182 13312 13520 15016 15360 16224 16640 17576 18770 19968 20280 20480 21632 21970 22524 24401 24576 24960 26364 26624 27040 28155 30032 30720 32448 32955 33280 35152 37540 39936 40560 40960 43264 43940 45048 48802 49920 52728 53248 54080 56310 60064 61440 64896 65910 66560 70304 73203 75080 79872 81120 86528 87880 90096 97604 99840 105456 106496 108160 112620 120128 122005 122880 129792 131820 133120 140608 146406 150160 159744 162240 173056 175760 180192 195208 199680 210912 216320 225240 240256 244010 259584 263640 266240 281216 292812 300320 317213 319488 324480 346112 351520 360384 366015 390416 399360 421824 432640 450480 480512 488020 519168 527280 532480 562432 585624 600640 634426 648960 692224 703040 720768 732030 780832 798720 843648 865280 900960 951639 961024 976040 1038336 1054560 1124864 1171248 1201280 1268852 1297920 1384448 1406080 1441536 1464060 1561664 1586065 1597440 1687296 1730560 1801920 1903278 1922048 1952080 2076672 2109120 2249728 2342496 2402560 2537704 2595840 2812160 2883072 2928120 3123328 3172130 3374592 3461120 3603840 3806556 3844096 3904160 4123769 4153344 4218240 4499456 4684992 4758195 4805120 5075408 5191680 5624320 5766144 5856240 6246656 6344260 6749184 6922240 7207680 7613112 7688192 7808320 8247538 8436480 8998912 9369984 9516390 9610240 10150816 10383360 11248640 11532288 11712480 12371307 12493312 12688520 13498368 14415360 15226224 15376384 15616640 16495076 16872960 17997824 18739968 19032780 19220480 20301632 20618845 20766720 22497280 23064576 23424960 24742614 24986624 25377040 26996736 28830720 30452448 31233280 32990152 33745920 37479936 38065560 38440960 40603264 41237690 44994560 46129152 46849920 49485228 49973248 50754080 53993472 57661440 60904896 61856535 62466560 65980304 67491840 74959872 76131120 76881920 81206528 82475380 89989120 93699840 98970456 99946496 101508160 115322880 121809792 123713070 124933120 131960608 134983680 149919744 152262240 162413056 164950760 187399680 197940912 199892992 203016320 230645760 243619584 247426140 249866240 263921216 269967360 299839488 304524480 324826112 329901520 374799360 395881824 406032640 487239168 494852280 499732480 527842432 599678976 609048960 649652224 659803040 749598720 791763648 812065280 974478336 989704560 999464960 1055684864 1218097920 1299304448 1319606080 1499197440 1583527296 1624130560 1948956672 1979409120 2111369728 2436195840 2598608896 2639212160 2998394880 3167054592 3248261120 3897913344 3958818240 4222739456 4872391680 5278424320 6334109184 6496522240 7795826688 7917636480 8445478912 9744783360 10556848640 12668218368 12993044480 15835272960 16890957824 19489566720 21113697280 25336436736 31670545920 33781915648 38979133440 42227394560 50672873472 63341091840 84454789120 101345746944 126682183680 168909578240 253364367360 506728734720
- Sum of all divisors σ(n): 1757426690880
- Sum of proper divisors (its aliquot sum) s(n): 1250697956160
- 506728734720 is an abundant number, because the sum of its proper divisors (1250697956160) is greater than itself. Its abundance is 743969221440
Bases of 506728734720
- Binary: 1110101111110110110001011100000000000002
- Hexadecimal: 0x75FB62E000
- Base-36: 6GSD7E2O
Squares and roots of 506728734720
- 506728734720 squared (5067287347202) is 256774010590932133478400
- 506728734720 cubed (5067287347203) is 130114769495722919502899784450048000
-
The
square root of 506728734720 is 711848.8145104971 -
The
cube root of 506728734720 is 7972.4507319625
Scales and comparisons
How big is 506728734720?- 506,728,734,720 seconds is equal to 16,112 years, 21 weeks, 21 hours, 52 minutes.
-
To count from 1 to 506,728,734,720 would take you about thirty-two thousand, two hundred twenty-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 506728734720 cubic inches would be around 664.4 feet tall.
Recreational maths with 506728734720
- 506728734720 backwards is 027437827605
- The number of decimal digits it has is: 12
- The sum of 506728734720's digits is 51
- More coming soon!
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