428945440
428,945,440 is an even composite number composed of six prime numbers multiplied together.
428945440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428945440:
25 × 5 × 7 × 11 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 37 × 941)See below for interesting mathematical facts about the number 428945440 from the Numbermatics database.
Names of 428945440
- Cardinal: 428945440 can be written as Four hundred twenty-eight million, nine hundred forty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.2894544 × 108
Factors of 428945440
Divisors of 428945440
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 160 176 185 220 224 259 280 296 308 352 370 385 407 440 518 560 592 616 740 770 814 880 941 1036 1120 1184 1232 1295 1480 1540 1628 1760 1882 2035 2072 2464 2590 2849 2960 3080 3256 3764 4070 4144 4705 5180 5698 5920 6160 6512 6587 7528 8140 8288 9410 10351 10360 11396 12320 13024 13174 14245 15056 16280 18820 20702 20720 22792 26348 28490 30112 32560 32935 34817 37640 41404 41440 45584 51755 52696 56980 65120 65870 69634 72457 75280 82808 91168 103510 105392 113960 131740 139268 144914 150560 165616 174085 207020 210784 227920 243719 263480 278536 289828 331232 348170 362285 382987 414040 455840 487438 526960 557072 579656 696340 724570 765974 828080 974876 1053920 1114144 1159312 1218595 1392680 1449140 1531948 1656160 1914935 1949752 2318624 2437190 2680909 2785360 2898280 3063896 3829870 3899504 4874380 5361818 5570720 5796560 6127792 7659740 7799008 9748760 10723636 11593120 12255584 13404545 15319480 19497520 21447272 26809090 30638960 38995040 42894544 53618180 61277920 85789088 107236360 214472720 428945440
- Sum of all divisors σ(n): 1298965248
- Sum of proper divisors (its aliquot sum) s(n): 870019808
- 428945440 is an abundant number, because the sum of its proper divisors (870019808) is greater than itself. Its abundance is 441074368
Bases of 428945440
- Binary: 110011001000100110000001000002
- Hexadecimal: 0x19913020
- Base-36: 73DSF4
Squares and roots of 428945440
- 428945440 squared (4289454402) is 183994190496793600
- 428945440 cubed (4289454403) is 78923469000090949341184000
-
The
square root of 428945440 is 20710.9980445173 -
The
cube root of 428945440 is 754.1666989951
Scales and comparisons
How big is 428945440?- 428,945,440 seconds is equal to 13 years, 33 weeks, 1 day, 15 hours, 30 minutes, 40 seconds.
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To count from 1 to 428,945,440 would take you about twenty 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 428945440 cubic inches would be around 62.8 feet tall.
Recreational maths with 428945440
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