145129920
145,129,920 is an even composite number composed of six prime numbers multiplied together.
145129920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 145129920:
26 × 3 × 5 × 13 × 29 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 401)See below for interesting mathematical facts about the number 145129920 from the Numbermatics database.
Names of 145129920
- Cardinal: 145129920 can be written as One hundred forty-five million, one hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4512992 × 108
Factors of 145129920
Divisors of 145129920
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 64 65 78 80 87 96 104 116 120 130 145 156 160 174 192 195 208 232 240 260 290 312 320 348 377 390 401 416 435 464 480 520 580 624 696 754 780 802 832 870 928 960 1040 1131 1160 1203 1248 1392 1508 1560 1604 1740 1856 1885 2005 2080 2262 2320 2406 2496 2784 3016 3120 3208 3480 3770 4010 4160 4524 4640 4812 5213 5568 5655 6015 6032 6240 6416 6960 7540 8020 9048 9280 9624 10426 11310 11629 12030 12064 12480 12832 13920 15080 15639 16040 18096 19248 20852 22620 23258 24060 24128 25664 26065 27840 30160 31278 32080 34887 36192 38496 41704 45240 46516 48120 52130 58145 60320 62556 64160 69774 72384 76992 78195 83408 90480 93032 96240 104260 116290 120640 125112 128320 139548 151177 156390 166816 174435 180960 186064 192480 208520 232580 250224 279096 302354 312780 333632 348870 361920 372128 384960 417040 453531 465160 500448 558192 604708 625560 697740 744256 755885 834080 907062 930320 1000896 1116384 1209416 1251120 1395480 1511770 1668160 1814124 1860640 2232768 2267655 2418832 2502240 2790960 3023540 3628248 3721280 4535310 4837664 5004480 5581920 6047080 7256496 9070620 9675328 11163840 12094160 14512992 18141240 24188320 29025984 36282480 48376640 72564960 145129920
- Sum of all divisors σ(n): 514624320
- Sum of proper divisors (its aliquot sum) s(n): 369494400
- 145129920 is an abundant number, because the sum of its proper divisors (369494400) is greater than itself. Its abundance is 224364480
Bases of 145129920
- Binary: 10001010011010000001110000002
- Hexadecimal: 0x8A681C0
- Base-36: 2EEMYO
Squares and roots of 145129920
- 145129920 squared (1451299202) is 21062693679206400
- 145129920 cubed (1451299203) is 3056827048647730495488000
-
The
square root of 145129920 is 12046.9880053065 -
The
cube root of 145129920 is 525.5156475675
Scales and comparisons
How big is 145129920?- 145,129,920 seconds is equal to 4 years, 31 weeks, 6 days, 17 hours, 52 minutes.
-
To count from 1 to 145,129,920 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 145129920 cubic inches would be around 43.8 feet tall.
Recreational maths with 145129920
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