423213120
423,213,120 is an even composite number composed of six prime numbers multiplied together.
423213120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 423213120:
26 × 33 × 5 × 11 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 61 × 73)See below for interesting mathematical facts about the number 423213120 from the Numbermatics database.
Names of 423213120
- Cardinal: 423213120 can be written as Four hundred twenty-three million, two hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2321312 × 108
Factors of 423213120
Divisors of 423213120
- Number of divisors d(n): 448
-
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 48 54 55 60 61 64 66 72 73 80 88 90 96 99 108 110 120 122 132 135 144 146 160 165 176 180 183 192 198 216 219 220 240 244 264 270 288 292 297 305 320 330 352 360 365 366 396 432 438 440 480 488 495 528 540 549 576 584 594 610 657 660 671 704 720 730 732 792 803 864 876 880 915 960 976 990 1056 1080 1095 1098 1168 1188 1220 1314 1320 1342 1440 1460 1464 1485 1584 1606 1647 1728 1752 1760 1830 1952 1971 1980 2013 2112 2160 2190 2196 2336 2376 2409 2440 2628 2640 2684 2745 2880 2920 2928 2970 3168 3212 3285 3294 3355 3504 3520 3660 3904 3942 3960 4015 4026 4320 4380 4392 4453 4672 4752 4818 4880 5256 5280 5368 5490 5840 5856 5940 6039 6336 6424 6570 6588 6710 7008 7227 7320 7884 7920 8030 8052 8235 8640 8760 8784 8906 9504 9636 9760 9855 10065 10512 10560 10736 10980 11680 11712 11880 12045 12078 12848 13140 13176 13359 13420 14016 14454 14640 15768 15840 16060 16104 16470 17520 17568 17812 18117 19008 19272 19520 19710 20130 21024 21472 21681 21960 22265 23360 23760 24090 24156 25696 26280 26352 26718 26840 28908 29280 30195 31536 31680 32120 32208 32940 35040 35136 35624 36135 36234 38544 39420 40077 40260 42048 42944 43362 43920 44530 47520 48180 48312 48983 51392 52560 52704 53436 53680 57816 58560 60390 63072 64240 64416 65880 66795 70080 71248 72270 72468 77088 78840 80154 80520 86724 87840 89060 90585 95040 96360 96624 97966 105120 105408 106872 107360 108405 115632 120231 120780 126144 128480 128832 131760 133590 142496 144540 144936 146949 154176 157680 160308 161040 173448 175680 178120 181170 192720 193248 195932 200385 210240 213744 214720 216810 231264 240462 241560 244915 256960 263520 267180 284992 289080 289872 293898 315360 320616 322080 346896 356240 362340 385440 386496 391864 400770 427488 433620 440847 462528 480924 483120 489830 527040 534360 578160 579744 587796 601155 630720 641232 644160 693792 712480 724680 734745 770880 783728 801540 854976 867240 881694 961848 966240 979660 1068720 1156320 1159488 1175592 1202310 1282464 1322541 1387584 1424960 1449360 1469490 1567456 1603080 1734480 1763388 1923696 1932480 1959320 2137440 2204235 2312640 2351184 2404620 2564928 2645082 2898720 2938980 3134912 3206160 3468960 3526776 3847392 3918640 4274880 4408470 4702368 4809240 5290164 5797440 5877960 6412320 6612705 6937920 7053552 7694784 7837280 8816940 9404736 9618480 10580328 11755920 12824640 13225410 14107104 15674560 17633880 19236960 21160656 23511840 26450820 28214208 35267760 38473920 42321312 47023680 52901640 70535520 84642624 105803280 141071040 211606560 423213120
- Sum of all divisors σ(n): 1678106880
- Sum of proper divisors (its aliquot sum) s(n): 1254893760
- 423213120 is an abundant number, because the sum of its proper divisors (1254893760) is greater than itself. Its abundance is 831680640
Bases of 423213120
- Binary: 110010011100110111000010000002
- Hexadecimal: 0x1939B840
- Base-36: 6ZYXC0
Squares and roots of 423213120
- 423213120 squared (4232131202) is 179109344940134400
- 423213120 cubed (4232131203) is 75801424693270492643328000
-
The
square root of 423213120 is 20572.1442732643 -
The
cube root of 423213120 is 750.7921230935
Scales and comparisons
How big is 423213120?- 423,213,120 seconds is equal to 13 years, 23 weeks, 5 days, 7 hours, 12 minutes.
-
To count from 1 to 423,213,120 would take you about twenty 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 423213120 cubic inches would be around 62.6 feet tall.
Recreational maths with 423213120
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