401125140
401,125,140 is an even composite number composed of seven prime numbers multiplied together.
401125140 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 401125140:
22 × 32 × 5 × 13 × 37 × 41 × 113
(2 × 2 × 3 × 3 × 5 × 13 × 37 × 41 × 113)See below for interesting mathematical facts about the number 401125140 from the Numbermatics database.
Names of 401125140
- Cardinal: 401125140 can be written as Four hundred one million, one hundred twenty-five thousand, one hundred forty.
Scientific notation
- Scientific notation: 4.0112514 × 108
Factors of 401125140
Divisors of 401125140
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 41 45 52 60 65 74 78 82 90 111 113 117 123 130 148 156 164 180 185 195 205 222 226 234 246 260 333 339 369 370 390 410 444 452 468 481 492 533 555 565 585 615 666 678 738 740 780 820 962 1017 1066 1110 1130 1170 1230 1332 1356 1443 1469 1476 1517 1599 1665 1695 1845 1924 2034 2132 2220 2260 2340 2405 2460 2665 2886 2938 3034 3198 3330 3390 3690 4068 4181 4329 4407 4551 4633 4797 4810 5085 5330 5772 5876 6068 6396 6660 6780 7215 7345 7380 7585 7995 8362 8658 8814 9102 9266 9594 9620 10170 10660 12543 13221 13653 13899 14430 14690 15170 15990 16724 17316 17628 18204 18532 19188 19721 20340 20905 21645 22035 22755 23165 23985 25086 26442 27306 27798 28860 29380 30340 31980 37629 39442 41697 41810 43290 44070 45510 46330 47970 50172 52884 54353 54612 55596 59163 60229 62715 66105 68265 69495 75258 78884 83394 83620 86580 88140 91020 92660 95940 98605 108706 118326 120458 125430 132210 136530 138990 150516 163059 166788 171421 177489 180687 188145 197210 208485 217412 236652 240916 250860 264420 271765 273060 277980 295815 301145 326118 342842 354978 361374 376290 394420 416970 489177 514263 542061 543530 591630 602290 652236 685684 709956 722748 752580 815295 833940 857105 887445 903435 978354 1028526 1084122 1087060 1183260 1204580 1542789 1630590 1714210 1774890 1806870 1956708 2057052 2168244 2228473 2445885 2571315 2710305 3085578 3261180 3428420 3549780 3613740 4456946 4891770 5142630 5420610 6171156 6685419 7713945 8913892 9783540 10285260 10841220 11142365 13370838 15427890 20056257 22284730 26741676 30855780 33427095 40112514 44569460 66854190 80225028 100281285 133708380 200562570 401125140
- Sum of all divisors σ(n): 1390779936
- Sum of proper divisors (its aliquot sum) s(n): 989654796
- 401125140 is an abundant number, because the sum of its proper divisors (989654796) is greater than itself. Its abundance is 588529656
Bases of 401125140
- Binary: 101111110100010101111000101002
- Hexadecimal: 0x17E8AF14
- Base-36: 6MTI50
Squares and roots of 401125140
- 401125140 squared (4011251402) is 160901377940019600
- 401125140 cubed (4011251403) is 64541587752383273652744000
-
The
square root of 401125140 is 20028.1087474581 -
The
cube root of 401125140 is 737.4964948603
Scales and comparisons
How big is 401125140?- 401,125,140 seconds is equal to 12 years, 39 weeks, 1 day, 15 hours, 39 minutes.
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To count from 1 to 401,125,140 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 401125140 cubic inches would be around 61.5 feet tall.
Recreational maths with 401125140
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