504142380
504,142,380 is an even composite number composed of six prime numbers multiplied together.
504142380 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 504142380:
22 × 35 × 5 × 72 × 29 × 73
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 73)See below for interesting mathematical facts about the number 504142380 from the Numbermatics database.
Names of 504142380
- Cardinal: 504142380 can be written as Five hundred four million, one hundred forty-two thousand, three hundred eighty.
Scientific notation
- Scientific notation: 5.0414238 × 108
Factors of 504142380
Divisors of 504142380
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 29 30 35 36 42 45 49 54 58 60 63 70 73 81 84 87 90 98 105 108 116 126 135 140 145 146 147 162 174 180 189 196 203 210 219 243 245 252 261 270 290 292 294 315 324 348 365 378 405 406 420 435 438 441 486 490 511 522 540 567 580 588 609 630 657 730 735 756 783 810 812 870 876 882 945 972 980 1015 1022 1044 1095 1134 1215 1218 1260 1305 1314 1323 1421 1460 1470 1533 1566 1620 1701 1740 1764 1827 1890 1971 2030 2044 2117 2190 2205 2268 2349 2430 2436 2555 2610 2628 2646 2835 2842 2940 3045 3066 3132 3285 3402 3577 3654 3780 3915 3942 3969 4060 4234 4263 4380 4410 4599 4698 4860 5110 5220 5292 5481 5670 5684 5913 6090 6132 6351 6570 6615 6804 7047 7105 7154 7308 7665 7830 7884 7938 8468 8505 8526 8820 9135 9198 9396 9855 10220 10585 10731 10962 11340 11745 11826 11907 12180 12702 12789 13140 13230 13797 14094 14210 14308 14819 15330 15660 15876 16443 17010 17052 17739 17885 18270 18396 19053 19710 19845 21170 21315 21462 21924 22995 23490 23652 23814 25404 25578 26460 27405 27594 28188 28420 29565 29638 30660 31755 32193 32886 34020 35235 35478 35770 36540 38106 38367 39420 39690 41391 42340 42630 42924 44457 45990 46980 47628 49329 51156 53655 54810 55188 57159 59130 59276 59535 63510 63945 64386 65772 68985 70470 70956 71540 74095 76212 76734 79380 82215 82782 85260 88695 88914 91980 95265 96579 98658 103733 107310 109620 114318 115101 118260 119070 124173 127020 127890 128772 133371 137970 140940 148190 153468 160965 164430 165564 171477 177390 177828 190530 191835 193158 197316 206955 207466 214620 222285 228636 230202 238140 246645 248346 255780 266742 275940 285795 289737 296380 311199 321930 328860 342954 345303 354780 381060 383670 386316 400113 413910 414932 444570 460404 482895 493290 496692 514431 518665 533484 571590 575505 579474 620865 622398 643860 666855 685908 690606 767340 800226 827820 857385 869211 889140 933597 965790 986580 1028862 1037330 1143180 1151010 1158948 1200339 1241730 1244796 1333710 1381212 1448685 1555995 1600452 1714770 1726515 1738422 1867194 1931580 2000565 2057724 2074660 2302020 2400678 2483460 2572155 2667420 2800791 2897370 3111990 3429540 3453030 3476844 3601017 3734388 4001130 4346055 4667985 4801356 5144310 5601582 5794740 6001695 6223980 6906060 7202034 8002260 8402373 8692110 9335970 10288620 11203164 12003390 14003955 14404068 16804746 17384220 18005085 18671940 24006780 25207119 28007910 33609492 36010170 42011865 50414238 56015820 72020340 84023730 100828476 126035595 168047460 252071190 504142380
- Sum of all divisors σ(n): 1934543520
- Sum of proper divisors (its aliquot sum) s(n): 1430401140
- 504142380 is an abundant number, because the sum of its proper divisors (1430401140) is greater than itself. Its abundance is 926258760
Bases of 504142380
- Binary: 111100000110010011010001011002
- Hexadecimal: 0x1E0C9A2C
- Base-36: 8C5IR0
Squares and roots of 504142380
- 504142380 squared (5041423802) is 254159539312064400
- 504142380 cubed (5041423803) is 128132595048487709329272000
-
The
square root of 504142380 is 22453.1151513549 -
The
cube root of 504142380 is 795.8863734345
Scales and comparisons
How big is 504142380?- 504,142,380 seconds is equal to 16 years, 1 week, 3 days, 23 hours, 33 minutes.
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To count from 1 to 504,142,380 would take you about twenty-four 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 504142380 cubic inches would be around 66.3 feet tall.
Recreational maths with 504142380
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