145188960
145,188,960 is an even composite number composed of five prime numbers multiplied together.
145188960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 145188960:
25 × 3 × 5 × 72 × 6173
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 6173)See below for interesting mathematical facts about the number 145188960 from the Numbermatics database.
Names of 145188960
- Cardinal: 145188960 can be written as One hundred forty-five million, one hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4518896 × 108
Factors of 145188960
Divisors of 145188960
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 6173 7840 11760 12346 18519 23520 24692 30865 37038 43211 49384 61730 74076 86422 92595 98768 123460 129633 148152 172844 185190 197536 216055 246920 259266 296304 302477 345688 370380 432110 493840 518532 592608 604954 648165 691376 740760 864220 907431 987680 1037064 1209908 1296330 1382752 1481520 1512385 1728440 1814862 2074128 2419816 2592660 2963040 3024770 3456880 3629724 4148256 4537155 4839632 5185320 6049540 6913760 7259448 9074310 9679264 10370640 12099080 14518896 18148620 20741280 24198160 29037792 36297240 48396320 72594480 145188960
- Sum of all divisors σ(n): 532100016
- Sum of proper divisors (its aliquot sum) s(n): 386911056
- 145188960 is an abundant number, because the sum of its proper divisors (386911056) is greater than itself. Its abundance is 241722096
Bases of 145188960
- Binary: 10001010011101101000011000002
- Hexadecimal: 0x8A76860
- Base-36: 2EFWIO
Squares and roots of 145188960
- 145188960 squared (1451889602) is 21079834105881600
- 145188960 cubed (1451889603) is 3060559190805479387136000
-
The
square root of 145188960 is 12049.4381611759 -
The
cube root of 145188960 is 525.5868992145
Scales and comparisons
How big is 145188960?- 145,188,960 seconds is equal to 4 years, 32 weeks, 10 hours, 16 minutes.
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To count from 1 to 145,188,960 would take you about six 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 145188960 cubic inches would be around 43.8 feet tall.
Recreational maths with 145188960
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