145185040
145,185,040 is an even composite number composed of six prime numbers multiplied together.
145185040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 145185040:
24 × 5 × 73 × 11 × 13 × 37
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 13 × 37)See below for interesting mathematical facts about the number 145185040 from the Numbermatics database.
Names of 145185040
- Cardinal: 145185040 can be written as One hundred forty-five million, one hundred eighty-five thousand and forty.
Scientific notation
- Scientific notation: 1.4518504 × 108
Factors of 145185040
Divisors of 145185040
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 37 40 44 49 52 55 56 65 70 74 77 80 88 91 98 104 110 112 130 140 143 148 154 176 182 185 196 208 220 245 259 260 280 286 296 308 343 364 370 385 392 407 440 455 481 490 518 520 539 560 572 592 616 637 686 715 728 740 770 784 814 880 910 962 980 1001 1036 1040 1078 1144 1232 1274 1295 1372 1430 1456 1480 1540 1628 1715 1813 1820 1924 1960 2002 2035 2072 2156 2288 2405 2548 2590 2695 2744 2849 2860 2960 3080 3185 3256 3367 3430 3626 3640 3773 3848 3920 4004 4070 4144 4312 4459 4810 5005 5096 5180 5291 5390 5488 5698 5720 6160 6370 6512 6734 6860 7007 7252 7280 7546 7696 8008 8140 8624 8918 9065 9620 10010 10192 10360 10582 10780 11396 11440 12691 12740 13468 13720 14014 14245 14504 15092 16016 16280 16835 17836 18130 18865 19240 19943 20020 20720 21164 21560 22295 22792 23569 25382 25480 26455 26936 27440 28028 28490 29008 30184 32560 33670 35035 35672 36260 37037 37730 38480 39886 40040 42328 43120 44590 45584 47138 49049 50764 50960 52910 53872 56056 56980 60368 63455 67340 70070 71344 72520 74074 75460 79772 80080 84656 89180 94276 98098 99715 101528 105820 112112 113960 117845 126910 134680 139601 140140 145040 148148 150920 159544 164983 178360 185185 188552 196196 199430 203056 211640 227920 235690 245245 253820 259259 269360 279202 280280 296296 301840 319088 329966 356720 370370 377104 392392 398860 423280 471380 490490 507640 518518 558404 560560 592592 659932 698005 740740 784784 797720 824915 942760 980980 1015280 1037036 1116808 1296295 1319864 1396010 1481480 1595440 1649830 1814813 1885520 1961960 2074072 2233616 2592590 2639728 2792020 2962960 3299660 3629626 3923920 4148144 5185180 5584040 6599320 7259252 9074065 10370360 11168080 13198640 14518504 18148130 20740720 29037008 36296260 72592520 145185040
- Sum of all divisors σ(n): 474969600
- Sum of proper divisors (its aliquot sum) s(n): 329784560
- 145185040 is an abundant number, because the sum of its proper divisors (329784560) is greater than itself. Its abundance is 184599520
Bases of 145185040
- Binary: 10001010011101011001000100002
- Hexadecimal: 0x8A75910
- Base-36: 2EFTHS
Squares and roots of 145185040
- 145185040 squared (1451850402) is 21078695839801600
- 145185040 cubed (1451850403) is 3060311298649428888064000
-
The
square root of 145185040 is 12049.2754968919 -
The
cube root of 145185040 is 525.5821690129
Scales and comparisons
How big is 145185040?- 145,185,040 seconds is equal to 4 years, 32 weeks, 9 hours, 10 minutes, 40 seconds.
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To count from 1 to 145,185,040 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 145185040 cubic inches would be around 43.8 feet tall.
Recreational maths with 145185040
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