145993120
145,993,120 is an even composite number composed of six prime numbers multiplied together.
145993120 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 145993120:
25 × 5 × 7 × 13 × 37 × 271
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 37 × 271)See below for interesting mathematical facts about the number 145993120 from the Numbermatics database.
Names of 145993120
- Cardinal: 145993120 can be written as One hundred forty-five million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.4599312 × 108
Factors of 145993120
Divisors of 145993120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 52 56 65 70 74 80 91 104 112 130 140 148 160 182 185 208 224 259 260 271 280 296 364 370 416 455 481 518 520 542 560 592 728 740 910 962 1036 1040 1084 1120 1184 1295 1355 1456 1480 1820 1897 1924 2072 2080 2168 2405 2590 2710 2912 2960 3367 3523 3640 3794 3848 4144 4336 4810 5180 5420 5920 6734 7046 7280 7588 7696 8288 8672 9485 9620 10027 10360 10840 13468 14092 14560 15176 15392 16835 17615 18970 19240 20054 20720 21680 24661 26936 28184 30352 33670 35230 37940 38480 40108 41440 43360 49322 50135 53872 56368 60704 67340 70189 70460 75880 76960 80216 98644 100270 107744 112736 123305 130351 134680 140378 140920 151760 160432 197288 200540 246610 260702 269360 280756 281840 303520 320864 350945 394576 401080 493220 521404 538720 561512 563680 651755 701890 789152 802160 912457 986440 1042808 1123024 1303510 1403780 1604320 1824914 1972880 2085616 2246048 2607020 2807560 3649828 3945760 4171232 4562285 5214040 5615120 7299656 9124570 10428080 11230240 14599312 18249140 20856160 29198624 36498280 72996560 145993120
- Sum of all divisors σ(n): 437584896
- Sum of proper divisors (its aliquot sum) s(n): 291591776
- 145993120 is an abundant number, because the sum of its proper divisors (291591776) is greater than itself. Its abundance is 145598656
Bases of 145993120
- Binary: 10001011001110101101101000002
- Hexadecimal: 0x8B3ADA0
- Base-36: 2EX50G
Squares and roots of 145993120
- 145993120 squared (1459931202) is 21313991087334400
- 145993120 cubed (1459931203) is 3111696058492141539328000
-
The
square root of 145993120 is 12082.7612738149 -
The
cube root of 145993120 is 526.5554715491
Scales and comparisons
How big is 145993120?- 145,993,120 seconds is equal to 4 years, 33 weeks, 2 days, 17 hours, 38 minutes, 40 seconds.
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To count from 1 to 145,993,120 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 145993120 cubic inches would be around 43.9 feet tall.
Recreational maths with 145993120
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