42144468120
42,144,468,120 is an even composite number composed of seven prime numbers multiplied together.
42144468120 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 42144468120:
23 × 32 × 5 × 17 × 61 × 79 × 1429
(2 × 2 × 2 × 3 × 3 × 5 × 17 × 61 × 79 × 1429)See below for interesting mathematical facts about the number 42144468120 from the Numbermatics database.
Names of 42144468120
- Cardinal: 42144468120 can be written as Forty-two billion, one hundred forty-four million, four hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.214446812 × 1010
Factors of 42144468120
Divisors of 42144468120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 61 68 72 79 85 90 102 120 122 136 153 158 170 180 183 204 237 244 255 305 306 316 340 360 366 395 408 474 488 510 549 610 612 632 680 711 732 765 790 915 948 1020 1037 1098 1185 1220 1224 1343 1422 1429 1464 1530 1580 1830 1896 2040 2074 2196 2370 2440 2686 2745 2844 2858 3060 3111 3160 3555 3660 4029 4148 4287 4392 4740 4819 5185 5372 5490 5688 5716 6120 6222 6715 7110 7145 7320 8058 8296 8574 9333 9480 9638 10370 10744 10980 11432 12087 12444 12861 13430 14220 14290 14457 15555 16116 17148 18666 19276 20145 20740 21435 21960 24095 24174 24293 24888 25722 26860 28440 28580 28914 31110 32232 34296 37332 38552 40290 41480 42870 43371 46665 48190 48348 48586 51444 53720 57160 57828 60435 62220 64305 72285 72879 74664 80580 81923 85740 86742 87169 93330 96380 96696 97172 102888 112891 115656 120870 121465 124440 128610 144570 145758 161160 163846 171480 173484 174338 186660 192760 194344 216855 218637 225782 241740 242930 245769 257220 261507 289140 291516 327692 338673 346968 348676 364395 373320 409615 433710 435845 437274 451564 483480 485860 491538 514440 523014 564455 578280 583032 655384 677346 697352 728790 737307 784521 819230 867420 871690 874548 903128 971720 983076 1016019 1046028 1093185 1128910 1228845 1307535 1354692 1457580 1474614 1481873 1569042 1638460 1693365 1734840 1743380 1749096 1919147 1966152 2032038 2092056 2186370 2257820 2457690 2615070 2709384 2915160 2949228 2963746 3138084 3276920 3386730 3486760 3686535 3838294 3922605 4064076 4372740 4445619 4515640 4915380 5080095 5230140 5757441 5898456 5927492 6276168 6773460 6886351 7373070 7409365 7676588 7845210 8128152 8745480 8891238 9595735 9830760 10160190 10460280 11514882 11854984 13336857 13546920 13772702 14746140 14818730 15353176 15690420 17272323 17782476 19191470 20320380 20659053 22228095 23029764 26673714 27545404 28787205 29492280 29637460 31380840 34431755 34544646 35564952 38382940 40640760 41318106 44456190 46059528 53347428 55090808 57574410 59274920 61977159 66684285 68863510 69089292 76765880 82636212 86361615 88912380 103295265 106694856 115148820 117067967 123954318 133368570 137727020 138178584 165272424 172723230 177824760 206590530 230297640 234135934 247908636 266737140 275454040 309885795 345446460 351203901 413181060 468271868 495817272 533474280 585339835 619771590 690892920 702407802 826362120 936543736 1053611703 1170679670 1239543180 1404815604 1756019505 2107223406 2341359340 2479086360 2809631208 3512039010 4214446812 4682718680 5268058515 7024078020 8428893624 10536117030 14048156040 21072234060 42144468120
- Sum of all divisors σ(n): 149374368000
- Sum of proper divisors (its aliquot sum) s(n): 107229899880
- 42144468120 is an abundant number, because the sum of its proper divisors (107229899880) is greater than itself. Its abundance is 65085431760
Bases of 42144468120
- Binary: 1001110100000000000110001100100110002
- Hexadecimal: 0x9D0018C98
- Base-36: JCZQ7Q0
Squares and roots of 42144468120
- 42144468120 squared (421444681202) is 1776156193117696334400
- 42144468120 cubed (421444681203) is 74855158056989316572961659328000
-
The
square root of 42144468120 is 205291.1788655323 -
The
cube root of 42144468120 is 3480.0076000627
Scales and comparisons
How big is 42144468120?- 42,144,468,120 seconds is equal to 1,340 years, 3 weeks, 2 days, 4 hours, 42 minutes.
-
To count from 1 to 42,144,468,120 would take you about two thousand, six hundred eighty 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 42144468120 cubic inches would be around 290 feet tall.
Recreational maths with 42144468120
- 42144468120 backwards is 02186444124
- 42144468120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42144468120's digits is 36
- More coming soon!
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