42057908640
42,057,908,640 is an even composite number composed of six prime numbers multiplied together.
42057908640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42057908640:
25 × 34 × 5 × 11 × 47 × 6277
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 47 × 6277)See below for interesting mathematical facts about the number 42057908640 from the Numbermatics database.
Names of 42057908640
- Cardinal: 42057908640 can be written as Forty-two billion, fifty-seven million, nine hundred eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.205790864 × 1010
Factors of 42057908640
Divisors of 42057908640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 47 48 54 55 60 66 72 80 81 88 90 94 96 99 108 110 120 132 135 141 144 160 162 165 176 180 188 198 216 220 235 240 264 270 282 288 297 324 330 352 360 376 396 405 423 432 440 470 480 495 517 528 540 564 594 648 660 705 720 752 792 810 846 864 880 891 940 990 1034 1056 1080 1128 1188 1269 1296 1320 1410 1440 1485 1504 1551 1584 1620 1692 1760 1782 1880 1980 2068 2115 2160 2256 2376 2538 2585 2592 2640 2820 2970 3102 3168 3240 3384 3564 3760 3807 3960 4136 4230 4320 4455 4512 4653 4752 5076 5170 5280 5640 5940 6204 6277 6345 6480 6768 7128 7520 7614 7755 7920 8272 8460 8910 9306 9504 10152 10340 11280 11880 12408 12554 12690 12960 13536 13959 14256 15228 15510 15840 16544 16920 17820 18612 18831 19035 20304 20680 22560 23265 23760 24816 25108 25380 27918 28512 30456 31020 31385 33840 35640 37224 37662 38070 40608 41360 41877 46530 47520 49632 50216 50760 55836 56493 60912 62040 62770 67680 69047 69795 71280 74448 75324 76140 82720 83754 93060 94155 100432 101520 111672 112986 121824 124080 125540 138094 139590 142560 148896 150648 152280 167508 169479 186120 188310 200864 203040 207141 209385 223344 225972 248160 251080 276188 279180 282465 295019 301296 304560 335016 338958 345235 372240 376620 414282 418770 446688 451944 502160 508437 552376 558360 564930 590038 602592 609120 621423 670032 677916 690470 744480 753240 828564 837540 847395 885057 903888 1004320 1016874 1035705 1104752 1116720 1129860 1180076 1242846 1340064 1355832 1380940 1475095 1506480 1657128 1675080 1694790 1770114 1807776 1864269 2033748 2071410 2209504 2233440 2259720 2360152 2485692 2542185 2655171 2711664 2761880 2950190 3012960 3107115 3245209 3314256 3350160 3389580 3540228 3728538 4067496 4142820 4425285 4519440 4720304 4971384 5084370 5310342 5423328 5523760 5592807 5900380 6214230 6490418 6628512 6700320 6779160 7080456 7457076 7965513 8134992 8285640 8850570 9038880 9321345 9440608 9735627 9942768 10168740 10620684 11047520 11185614 11800760 12428460 12980836 13275855 13558320 14160912 14914152 15931026 16226045 16269984 16571280 17701140 18642690 19471254 19885536 20337480 21241368 22371228 23601520 23896539 24856920 25961672 26551710 27116640 27964035 28321824 29206881 29828304 31862052 32452090 33142560 35402280 37285380 38942508 39827565 40674960 42482736 44742456 47203040 47793078 48678135 49713840 51923344 53103420 55928070 58413762 59656608 63724104 64904180 70804560 74570760 77885016 79655130 81349920 84965472 87620643 89484912 95586156 97356270 99427680 103846688 106206840 111856140 116827524 119482695 127448208 129808360 141609120 146034405 149141520 155770032 159310260 175241286 178969824 191172312 194712540 212413680 223712280 233655048 238965390 254896416 259616720 262861929 292068810 298283040 311540064 318620520 350482572 382344624 389425080 424827360 438103215 447424560 467310096 477930780 519233440 525723858 584137620 637241040 700965144 764689248 778850160 876206430 894849120 934620192 955861560 1051447716 1168275240 1274482080 1314309645 1401930288 1557700320 1752412860 1911723120 2102895432 2336550480 2628619290 2803860576 3504825720 3823446240 4205790864 4673100960 5257238580 7009651440 8411581728 10514477160 14019302880 21028954320 42057908640
- Sum of all divisors σ(n): 165394462464
- Sum of proper divisors (its aliquot sum) s(n): 123336553824
- 42057908640 is an abundant number, because the sum of its proper divisors (123336553824) is greater than itself. Its abundance is 81278645184
Bases of 42057908640
- Binary: 1001110010101101100011000001101000002
- Hexadecimal: 0x9CAD8C1A0
- Base-36: JBK6Y00
Squares and roots of 42057908640
- 42057908640 squared (420579086402) is 1768867679170586649600
- 42057908640 cubed (420579086403) is 74394875246805364284080492544000
-
The
square root of 42057908640 is 205080.2492684267 -
The
cube root of 42057908640 is 3477.6234665861
Scales and comparisons
How big is 42057908640?- 42,057,908,640 seconds is equal to 1,337 years, 16 weeks, 1 day, 8 hours, 24 minutes.
-
To count from 1 to 42,057,908,640 would take you about two thousand, six hundred seventy-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 42057908640 cubic inches would be around 289.8 feet tall.
Recreational maths with 42057908640
- 42057908640 backwards is 04680975024
- 42057908640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42057908640's digits is 45
- More coming soon!
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