993746664
993,746,664 is an even composite number composed of six prime numbers multiplied together.
993746664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 993746664:
23 × 33 × 19 × 31 × 73 × 107
(2 × 2 × 2 × 3 × 3 × 3 × 19 × 31 × 73 × 107)See below for interesting mathematical facts about the number 993746664 from the Numbermatics database.
Names of 993746664
- Cardinal: 993746664 can be written as Nine hundred ninety-three million, seven hundred forty-six thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 9.93746664 × 108
Factors of 993746664
Divisors of 993746664
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 73 76 93 107 108 114 124 146 152 171 186 214 216 219 228 248 279 292 321 342 372 428 438 456 513 558 584 589 642 657 684 744 837 856 876 963 1026 1116 1178 1284 1314 1368 1387 1674 1752 1767 1926 1971 2033 2052 2232 2263 2356 2568 2628 2774 2889 3317 3348 3534 3852 3942 4066 4104 4161 4526 4712 5256 5301 5548 5778 6099 6634 6696 6789 7068 7704 7811 7884 8132 8322 9052 9951 10602 11096 11556 12198 12483 13268 13578 14136 15622 15768 15903 16264 16644 18104 18297 19902 20367 21204 23112 23433 24396 24966 26536 27156 29853 31244 31806 33288 36594 37449 39804 40734 42408 42997 46866 48792 49932 54312 54891 59706 61101 62488 63023 63612 70299 73188 74898 79608 81468 85994 89559 93732 99864 109782 119412 122202 126046 127224 128991 140598 146376 148409 149796 162936 171988 179118 187464 189069 210897 219564 238824 242141 244404 252092 257982 281196 296818 299592 343976 358236 378138 386973 421794 439128 445227 484282 488808 504184 515964 562392 567207 593636 716472 726423 756276 773946 843588 890454 968564 1031928 1134414 1160919 1187272 1335681 1452846 1512552 1547892 1687176 1701621 1780908 1937128 2179269 2268828 2321838 2671362 2905692 3095784 3403242 3561816 4007043 4358538 4537656 4600679 4643676 5342724 5811384 6537807 6806484 8014086 8717076 9201358 9287352 10685448 13075614 13612968 13802037 16028172 17434152 18402716 26151228 27604074 32056344 36805432 41406111 52302456 55208148 82812222 110416296 124218333 165624444 248436666 331248888 496873332 993746664
- Sum of all divisors σ(n): 3068928000
- Sum of proper divisors (its aliquot sum) s(n): 2075181336
- 993746664 is an abundant number, because the sum of its proper divisors (2075181336) is greater than itself. Its abundance is 1081434672
Bases of 993746664
- Binary: 1110110011101101011110111010002
- Hexadecimal: 0x3B3B5EE8
- Base-36: GFNFU0
Squares and roots of 993746664
- 993746664 squared (9937466642) is 987532432211128896
- 993746664 cubed (9937466643) is 981357060101615484074002944
-
The
square root of 993746664 is 31523.7476198501 -
The
cube root of 993746664 is 997.9111945965
Scales and comparisons
How big is 993746664?- 993,746,664 seconds is equal to 31 years, 31 weeks, 16 hours, 44 minutes, 24 seconds.
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To count from 1 to 993,746,664 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 993746664 cubic inches would be around 83.2 feet tall.
Recreational maths with 993746664
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