993233920
993,233,920 is an even composite number composed of five prime numbers multiplied together.
993233920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 993233920:
210 × 5 × 72 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 37 × 107)See below for interesting mathematical facts about the number 993233920 from the Numbermatics database.
Names of 993233920
- Cardinal: 993233920 can be written as Nine hundred ninety-three million, two hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9323392 × 108
Factors of 993233920
Divisors of 993233920
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 64 70 74 80 98 107 112 128 140 148 160 185 196 214 224 245 256 259 280 296 320 370 392 428 448 490 512 518 535 560 592 640 740 749 784 856 896 980 1024 1036 1070 1120 1184 1280 1295 1480 1498 1568 1712 1792 1813 1960 2072 2140 2240 2368 2560 2590 2960 2996 3136 3424 3584 3626 3745 3920 3959 4144 4280 4480 4736 5120 5180 5243 5920 5992 6272 6848 7168 7252 7490 7840 7918 8288 8560 8960 9065 9472 10360 10486 11840 11984 12544 13696 14504 14980 15680 15836 16576 17120 17920 18130 18944 19795 20720 20972 23680 23968 25088 26215 27392 27713 29008 29960 31360 31672 33152 34240 35840 36260 37888 39590 41440 41944 47360 47936 50176 52430 54784 55426 58016 59920 62720 63344 66304 68480 72520 79180 82880 83888 94720 95872 104860 109568 110852 116032 119840 125440 126688 132608 136960 138565 145040 158360 165760 167776 189440 191744 193991 209720 221704 232064 239680 250880 253376 265216 273920 277130 290080 316720 331520 335552 383488 387982 419440 443408 464128 479360 506752 547840 554260 580160 633440 663040 671104 766976 775964 838880 886816 928256 958720 969955 1013504 1108520 1160320 1266880 1326080 1342208 1551928 1677760 1773632 1856512 1917440 1939910 2027008 2217040 2320640 2533760 2684416 3103856 3355520 3547264 3834880 3879820 4054016 4434080 4641280 5067520 5368832 6207712 6711040 7094528 7759640 8868160 9282560 10135040 12415424 13422080 14189056 15519280 17736320 20270080 24830848 26844160 28378112 31038560 35472640 49661696 62077120 70945280 99323392 124154240 141890560 198646784 248308480 496616960 993233920
- Sum of all divisors σ(n): 2873103696
- Sum of proper divisors (its aliquot sum) s(n): 1879869776
- 993233920 is an abundant number, because the sum of its proper divisors (1879869776) is greater than itself. Its abundance is 886635856
Bases of 993233920
- Binary: 1110110011001110001100000000002
- Hexadecimal: 0x3B338C00
- Base-36: GFCG74
Squares and roots of 993233920
- 993233920 squared (9932339202) is 986513619838566400
- 993233920 cubed (9932339203) is 979838789765649072652288000
-
The
square root of 993233920 is 31515.6139080297 -
The
cube root of 993233920 is 997.7395341443
Scales and comparisons
How big is 993233920?- 993,233,920 seconds is equal to 31 years, 30 weeks, 1 day, 18 hours, 18 minutes, 40 seconds.
-
To count from 1 to 993,233,920 would take you about forty-seven 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 993233920 cubic inches would be around 83.1 feet tall.
Recreational maths with 993233920
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