401400090
401,400,090 is an even composite number composed of seven prime numbers multiplied together.
401400090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 401400090:
2 × 33 × 5 × 7 × 13 × 17 × 312
(2 × 3 × 3 × 3 × 5 × 7 × 13 × 17 × 31 × 31)See below for interesting mathematical facts about the number 401400090 from the Numbermatics database.
Names of 401400090
- Cardinal: 401400090 can be written as Four hundred one million, four hundred thousand and ninety.
Scientific notation
- Scientific notation: 4.0140009 × 108
Factors of 401400090
Divisors of 401400090
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 17 18 21 26 27 30 31 34 35 39 42 45 51 54 62 63 65 70 78 85 90 91 93 102 105 117 119 126 130 135 153 155 170 182 186 189 195 210 217 221 234 238 255 270 273 279 306 310 315 351 357 378 390 403 434 442 455 459 465 510 527 546 558 585 595 630 651 663 702 714 765 806 819 837 910 918 930 945 961 1054 1071 1085 1105 1170 1190 1209 1302 1326 1365 1395 1530 1547 1581 1638 1674 1755 1785 1890 1922 1953 1989 2015 2142 2170 2210 2295 2418 2457 2635 2730 2790 2821 2883 3094 3162 3213 3255 3315 3510 3570 3627 3689 3906 3978 4030 4095 4185 4590 4641 4743 4805 4914 5270 5355 5642 5766 5859 5967 6045 6426 6510 6630 6727 6851 7254 7378 7735 7905 8190 8370 8463 8649 9282 9486 9610 9765 9945 10710 10881 11067 11718 11934 12090 12285 12493 13454 13702 13923 14105 14229 14415 15470 15810 16065 16337 16926 17298 18135 18445 19530 19890 20181 20553 21762 22134 23205 23715 24570 24986 25389 25947 27846 28210 28458 28830 29295 29835 32130 32674 33201 33635 34255 36270 36890 37479 40362 41106 41769 42315 43245 46410 47430 47957 49011 50778 51894 54405 55335 58590 59670 60543 61659 62465 66402 67270 68510 69615 71145 74958 76167 81685 83538 84630 86490 87451 95914 98022 99603 100905 102765 108810 110670 112437 114359 121086 123318 124930 126945 129735 139230 142290 143871 147033 152334 163370 166005 174902 181629 184977 187395 199206 201810 205530 208845 212381 224874 228718 239785 245055 253890 259470 262353 287742 294066 302715 308295 332010 337311 343077 363258 369954 374790 380835 417690 424762 431613 437255 441099 479570 490110 498015 524706 562185 571795 605430 616590 637143 674622 686154 719355 735165 761670 787059 863226 874510 882198 908145 924885 996030 1029231 1061905 1124370 1143590 1274286 1294839 1311765 1438710 1470330 1486667 1574118 1686555 1715385 1816290 1849770 1911429 2058462 2123810 2158065 2205495 2361177 2589678 2623530 2973334 3087693 3185715 3373110 3430770 3822858 3935295 4316130 4410990 4460001 4722354 5146155 5734287 6175386 6371430 6474195 7433335 7870590 8920002 9557145 10292310 11468574 11805885 12948390 13380003 14866670 15438465 19114290 22300005 23611770 26760006 28671435 30876930 40140009 44600010 57342870 66900015 80280018 133800030 200700045 401400090
- Sum of all divisors σ(n): 1441359360
- Sum of proper divisors (its aliquot sum) s(n): 1039959270
- 401400090 is an abundant number, because the sum of its proper divisors (1039959270) is greater than itself. Its abundance is 638559180
Bases of 401400090
- Binary: 101111110110011100001000110102
- Hexadecimal: 0x17ECE11A
- Base-36: 6MZEAI
Squares and roots of 401400090
- 401400090 squared (4014000902) is 161122032252008100
- 401400090 cubed (4014000903) is 64674398246938954020729000
-
The
square root of 401400090 is 20034.9716745495 -
The
cube root of 401400090 is 737.6649612799
Scales and comparisons
How big is 401400090?- 401,400,090 seconds is equal to 12 years, 39 weeks, 4 days, 20 hours, 1 minute, 30 seconds.
-
To count from 1 to 401,400,090 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 401400090 cubic inches would be around 61.5 feet tall.
Recreational maths with 401400090
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