145408320
145,408,320 is an even composite number composed of five prime numbers multiplied together.
145408320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 145408320:
26 × 32 × 5 × 29 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 1741)See below for interesting mathematical facts about the number 145408320 from the Numbermatics database.
Names of 145408320
- Cardinal: 145408320 can be written as One hundred forty-five million, four hundred eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.4540832 × 108
Factors of 145408320
Divisors of 145408320
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 144 145 160 174 180 192 232 240 261 288 290 320 348 360 435 464 480 522 576 580 696 720 870 928 960 1044 1160 1305 1392 1440 1740 1741 1856 2088 2320 2610 2784 2880 3480 3482 4176 4640 5220 5223 5568 6960 6964 8352 8705 9280 10440 10446 13920 13928 15669 16704 17410 20880 20892 26115 27840 27856 31338 34820 41760 41784 50489 52230 55712 62676 69640 78345 83520 83568 100978 104460 111424 125352 139280 151467 156690 167136 201956 208920 250704 252445 278560 302934 313380 334272 403912 417840 454401 501408 504890 557120 605868 626760 757335 807824 835680 908802 1002816 1009780 1211736 1253520 1514670 1615648 1671360 1817604 2019560 2272005 2423472 2507040 3029340 3231296 3635208 4039120 4544010 4846944 5014080 6058680 7270416 8078240 9088020 9693888 12117360 14540832 16156480 18176040 24234720 29081664 36352080 48469440 72704160 145408320
- Sum of all divisors σ(n): 517687560
- Sum of proper divisors (its aliquot sum) s(n): 372279240
- 145408320 is an abundant number, because the sum of its proper divisors (372279240) is greater than itself. Its abundance is 226870920
Bases of 145408320
- Binary: 10001010101011000001010000002
- Hexadecimal: 0x8AAC140
- Base-36: 2EKLS0
Squares and roots of 145408320
- 145408320 squared (1454083202) is 21143579525222400
- 145408320 cubed (1454083203) is 3074452377548986810368000
-
The
square root of 145408320 is 12058.5372247217 -
The
cube root of 145408320 is 525.8514618627
Scales and comparisons
How big is 145408320?- 145,408,320 seconds is equal to 4 years, 32 weeks, 2 days, 23 hours, 12 minutes.
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To count from 1 to 145,408,320 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 145408320 cubic inches would be around 43.8 feet tall.
Recreational maths with 145408320
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