993428604
993,428,604 is an even composite number composed of seven prime numbers multiplied together.
993428604 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 993428604:
22 × 33 × 7 × 19 × 23 × 31 × 97
(2 × 2 × 3 × 3 × 3 × 7 × 19 × 23 × 31 × 97)See below for interesting mathematical facts about the number 993428604 from the Numbermatics database.
Names of 993428604
- Cardinal: 993428604 can be written as Nine hundred ninety-three million, four hundred twenty-eight thousand, six hundred four.
Scientific notation
- Scientific notation: 9.93428604 × 108
Factors of 993428604
Divisors of 993428604
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 19 21 23 27 28 31 36 38 42 46 54 57 62 63 69 76 84 92 93 97 108 114 124 126 133 138 161 171 186 189 194 207 217 228 252 266 276 279 291 322 342 372 378 388 399 414 434 437 483 513 532 558 582 589 621 644 651 679 684 713 756 798 828 837 868 873 874 966 1026 1116 1164 1178 1197 1242 1302 1311 1358 1426 1449 1596 1674 1746 1748 1767 1843 1932 1953 2037 2052 2139 2231 2356 2394 2484 2604 2619 2622 2716 2852 2898 3007 3059 3348 3492 3534 3591 3686 3906 3933 4074 4123 4278 4347 4462 4788 4991 5238 5244 5301 5529 5796 5859 6014 6111 6118 6417 6693 7068 7182 7372 7812 7866 8148 8246 8556 8694 8924 9021 9177 9982 10476 10602 11058 11718 11799 12028 12222 12236 12369 12834 12901 13386 13547 14364 14973 15617 15732 15903 16492 16587 17388 18042 18333 18354 19251 19964 20079 21049 21204 22116 23436 23598 24444 24738 25668 25802 26772 27063 27094 27531 29946 31234 31806 33174 36084 36666 36708 37107 38502 38703 40158 40641 42098 42389 44919 46851 47196 49476 49761 51604 54126 54188 55062 57133 59892 60237 62468 63147 63612 66348 69161 73332 74214 77004 77406 80316 81189 81282 82593 84196 84778 89838 93702 94829 99522 108252 110124 111321 114266 116109 120474 121923 126294 127167 134757 138322 140553 148428 154812 162378 162564 165186 169556 171399 179676 187404 189441 189658 199044 207483 222642 228532 232218 240948 243846 252588 254334 269514 276644 281106 284487 296723 324756 330372 342798 348327 365769 378882 379316 381501 399931 414966 421659 445284 464436 484127 487692 508668 514197 539028 562212 568323 568974 593446 622449 685596 696654 731538 757764 763002 799862 829932 843318 853461 890169 968254 1028394 1136646 1137948 1144503 1186892 1199793 1244898 1314059 1393308 1452381 1463076 1526004 1542591 1599724 1686636 1706922 1780338 1867347 1936508 2056788 2273292 2289006 2399586 2489796 2560383 2628118 2670507 2904762 3085182 3413844 3560676 3599379 3734694 3942177 4357143 4578012 4799172 5120766 5256236 5341014 5809524 6170364 7198758 7469388 7884354 8011521 8714286 9198413 10241532 10682028 10798137 11826531 13071429 14397516 15768708 16023042 17428572 18396826 21596274 23653062 26142858 27595239 32046084 35479593 36793652 43192548 47306124 52285716 55190478 70959186 82785717 110380956 141918372 165571434 248357151 331142868 496714302 993428604
- Sum of all divisors σ(n): 3371827200
- Sum of proper divisors (its aliquot sum) s(n): 2378398596
- 993428604 is an abundant number, because the sum of its proper divisors (2378398596) is greater than itself. Its abundance is 1384969992
Bases of 993428604
- Binary: 1110110011011010000100011111002
- Hexadecimal: 0x3B36847C
- Base-36: GFGMF0
Squares and roots of 993428604
- 993428604 squared (9934286042) is 986900391245388816
- 993428604 cubed (9934286043) is 980415077961960432916092864
-
The
square root of 993428604 is 31518.7024479117 -
The
cube root of 993428604 is 997.8047189341
Scales and comparisons
How big is 993428604?- 993,428,604 seconds is equal to 31 years, 30 weeks, 4 days, 23 minutes, 24 seconds.
-
To count from 1 to 993,428,604 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 993428604 cubic inches would be around 83.2 feet tall.
Recreational maths with 993428604
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