145090440
145,090,440 is an even composite number composed of six prime numbers multiplied together.
145090440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 145090440:
23 × 35 × 5 × 11 × 23 × 59
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 23 × 59)See below for interesting mathematical facts about the number 145090440 from the Numbermatics database.
Names of 145090440
- Cardinal: 145090440 can be written as One hundred forty-five million, ninety thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.4509044 × 108
Factors of 145090440
Divisors of 145090440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 23 24 27 30 33 36 40 44 45 46 54 55 59 60 66 69 72 81 88 90 92 99 108 110 115 118 120 132 135 138 162 165 177 180 184 198 207 216 220 230 236 243 253 264 270 276 295 297 324 330 345 354 360 396 405 414 440 460 472 486 495 506 531 540 552 590 594 621 648 649 660 690 708 759 792 810 828 885 891 920 972 990 1012 1035 1062 1080 1180 1188 1215 1242 1265 1298 1320 1357 1380 1416 1485 1518 1593 1620 1656 1770 1782 1863 1944 1947 1980 2024 2070 2124 2277 2360 2376 2430 2484 2530 2596 2655 2673 2714 2760 2970 3036 3105 3186 3240 3245 3540 3564 3726 3795 3894 3960 4071 4140 4248 4455 4554 4779 4860 4968 5060 5192 5310 5346 5428 5589 5841 5940 6072 6210 6372 6490 6785 6831 7080 7128 7452 7590 7788 7965 8142 8280 8910 9108 9315 9558 9720 9735 10120 10620 10692 10856 11178 11385 11682 11880 12213 12420 12744 12980 13365 13570 13662 14337 14904 14927 15180 15576 15930 16284 17523 17820 18216 18630 19116 19470 20355 20493 21240 21384 22356 22770 23364 23895 24426 24840 25960 26730 27140 27324 27945 28674 29205 29854 30360 31860 32568 34155 35046 35640 36639 37260 38232 38940 40710 40986 44712 44781 45540 46728 47790 48852 52569 53460 54280 54648 55890 57348 58410 59708 61065 61479 63720 68310 70092 71685 73278 74520 74635 77880 81420 81972 87615 89562 91080 95580 97704 102465 105138 106920 109917 111780 114696 116820 119416 122130 122958 134343 136620 140184 143370 146556 149270 157707 162840 163944 175230 179124 183195 191160 204930 210276 219834 223560 223905 233640 244260 245916 262845 268686 273240 286740 293112 298540 307395 315414 329751 350460 358248 366390 403029 409860 420552 439668 447810 488520 491832 525690 537372 549585 573480 597080 614790 630828 659502 671715 700920 732780 788535 806058 819720 879336 895620 1051380 1074744 1099170 1209087 1229580 1261656 1319004 1343430 1465560 1577070 1612116 1648755 1791240 2015145 2102760 2198340 2418174 2459160 2638008 2686860 3154140 3224232 3297510 3627261 4030290 4396680 4836348 5373720 6045435 6308280 6595020 7254522 8060580 9672696 12090870 13190040 14509044 16121160 18136305 24181740 29018088 36272610 48363480 72545220 145090440
- Sum of all divisors σ(n): 566092800
- Sum of proper divisors (its aliquot sum) s(n): 421002360
- 145090440 is an abundant number, because the sum of its proper divisors (421002360) is greater than itself. Its abundance is 275911920
Bases of 145090440
- Binary: 10001010010111100111100010002
- Hexadecimal: 0x8A5E788
- Base-36: 2EDSI0
Squares and roots of 145090440
- 145090440 squared (1450904402) is 21051235779393600
- 145090440 cubed (1450904403) is 3054333061775960357184000
-
The
square root of 145090440 is 12045.3493100035 -
The
cube root of 145090440 is 525.4679908671
Scales and comparisons
How big is 145090440?- 145,090,440 seconds is equal to 4 years, 31 weeks, 6 days, 6 hours, 54 minutes.
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To count from 1 to 145,090,440 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 145090440 cubic inches would be around 43.8 feet tall.
Recreational maths with 145090440
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