400228290
400,228,290 is an even composite number composed of seven prime numbers multiplied together.
400228290 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 400228290:
2 × 36 × 5 × 7 × 11 × 23 × 31
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 23 × 31)See below for interesting mathematical facts about the number 400228290 from the Numbermatics database.
Names of 400228290
- Cardinal: 400228290 can be written as Four hundred million, two hundred twenty-eight thousand, two hundred ninety.
Scientific notation
- Scientific notation: 4.0022829 × 108
Factors of 400228290
Divisors of 400228290
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 14 15 18 21 22 23 27 30 31 33 35 42 45 46 54 55 62 63 66 69 70 77 81 90 93 99 105 110 115 126 135 138 154 155 161 162 165 186 189 198 207 210 217 230 231 243 253 270 279 297 310 315 322 330 341 345 378 385 405 414 434 462 465 483 486 495 506 558 567 594 621 630 651 682 690 693 713 729 759 770 805 810 837 891 930 945 966 990 1023 1035 1085 1134 1155 1215 1242 1265 1302 1386 1395 1426 1449 1458 1485 1518 1610 1674 1701 1705 1771 1782 1863 1890 1953 2046 2070 2079 2139 2170 2277 2310 2387 2415 2430 2511 2530 2673 2790 2835 2898 2970 3069 3105 3255 3402 3410 3465 3542 3565 3645 3726 3795 3906 4158 4185 4278 4347 4455 4554 4774 4830 4991 5022 5103 5115 5313 5346 5589 5670 5859 6138 6210 6237 6417 6510 6831 6930 7130 7161 7245 7290 7533 7590 7843 8019 8370 8505 8694 8855 8910 9207 9315 9765 9982 10206 10230 10395 10626 10695 11178 11385 11718 11935 12474 12555 12834 13041 13365 13662 14322 14490 14973 15066 15345 15686 15939 16038 16767 17010 17577 17710 18414 18630 18711 19251 19530 20493 20790 21390 21483 21735 22599 22770 23529 23870 24955 25110 25515 26082 26565 26730 27621 27945 29295 29946 30690 31185 31878 32085 33534 34155 35154 35805 37422 37665 38502 39123 39215 40095 40986 42966 43470 44919 45198 46035 47058 47817 49910 51030 52731 53130 54901 55242 55890 56133 57753 58590 61479 62370 64170 64449 65205 68310 70587 71610 74865 75330 78246 78430 79695 80190 82863 83835 87885 89838 92070 93555 95634 96255 102465 105462 107415 109802 112266 112995 115506 117369 117645 122958 128898 130410 134757 138105 141174 143451 149730 158193 159390 164703 165726 167670 173259 175770 184437 187110 192510 193347 195615 204930 211761 214830 224595 225990 234738 235290 239085 248589 263655 269514 274505 276210 280665 286902 288765 307395 316386 322245 329406 346518 352935 368874 386694 391230 404271 414315 423522 430353 449190 478170 494109 497178 519777 527310 549010 561330 577530 580041 586845 614790 635283 644490 673785 705870 717255 790965 808542 823515 828630 860706 866295 922185 966735 988218 1039554 1058805 1160082 1173690 1212813 1242945 1270566 1291059 1347570 1434510 1482327 1581930 1647030 1732590 1740123 1844370 1905849 1933470 2021355 2117610 2151765 2425626 2470545 2485890 2582118 2598885 2900205 2964654 3176415 3480246 3638439 3811698 4042710 4303530 4446981 4941090 5197770 5717547 5800410 6064065 6352830 6455295 7276878 7411635 8700615 8893962 9529245 11435094 12128130 12910590 13340943 14823270 17401230 18192195 19058490 22234905 26681886 28587735 36384390 40022829 44469810 57175470 66704715 80045658 133409430 200114145 400228290
- Sum of all divisors σ(n): 1450524672
- Sum of proper divisors (its aliquot sum) s(n): 1050296382
- 400228290 is an abundant number, because the sum of its proper divisors (1050296382) is greater than itself. Its abundance is 650068092
Bases of 400228290
- Binary: 101111101101011111111110000102
- Hexadecimal: 0x17DAFFC2
- Base-36: 6MAA4I
Squares and roots of 400228290
- 400228290 squared (4002282902) is 160182684116324100
- 400228290 cubed (4002282903) is 64109641751486555628789000
-
The
square root of 400228290 is 20005.7064359147 -
The
cube root of 400228290 is 736.9464443285
Scales and comparisons
How big is 400228290?- 400,228,290 seconds is equal to 12 years, 37 weeks, 5 days, 6 hours, 31 minutes, 30 seconds.
-
To count from 1 to 400,228,290 would take you about nineteen 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 400228290 cubic inches would be around 61.4 feet tall.
Recreational maths with 400228290
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