42131876800
42,131,876,800 is an even composite number composed of six prime numbers multiplied together.
42131876800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 42131876800:
26 × 52 × 13 × 192 × 31 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 19 × 31 × 181)See below for interesting mathematical facts about the number 42131876800 from the Numbermatics database.
Names of 42131876800
- Cardinal: 42131876800 can be written as Forty-two billion, one hundred thirty-one million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21318768 × 1010
Factors of 42131876800
Divisors of 42131876800
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 31 32 38 40 50 52 62 64 65 76 80 95 100 104 124 130 152 155 160 181 190 200 208 247 248 260 304 310 320 325 361 362 380 400 403 416 475 494 496 520 589 608 620 650 722 724 760 775 800 806 832 905 950 988 992 1040 1178 1216 1235 1240 1300 1444 1448 1520 1550 1600 1612 1805 1810 1900 1976 1984 2015 2080 2353 2356 2470 2480 2600 2888 2896 2945 3040 3100 3224 3439 3610 3620 3800 3952 4030 4160 4525 4693 4706 4712 4940 4960 5200 5611 5776 5792 5890 6080 6175 6200 6448 6878 7220 7240 7600 7657 7904 8060 9025 9050 9386 9412 9424 9880 9920 10075 10400 11191 11222 11552 11584 11765 11780 12350 12400 12896 13756 14440 14480 14725 15200 15314 15808 16120 17195 18050 18100 18772 18824 18848 19760 20150 20800 22382 22444 23104 23465 23530 23560 24700 24800 25792 27512 28055 28880 28960 29450 30400 30628 32240 34390 36100 36200 37544 37648 37696 38285 39520 40300 44707 44764 44888 46930 47060 47120 49400 49600 55024 55955 56110 57760 57920 58825 58900 61256 64480 65341 68780 72200 72400 72943 75088 75296 76570 79040 80600 85975 89414 89528 89776 93860 94120 94240 98800 106609 110048 111910 112220 115520 117325 117650 117800 122512 128960 130682 137560 140275 144400 144800 145483 145886 150176 150592 153140 161200 171950 178828 179056 179552 187720 188240 188480 191425 197600 213218 220096 223535 223820 224440 234650 235300 235600 245024 261364 275120 279775 280550 288800 289600 290966 291772 300352 306280 322400 326705 343900 357656 358112 359104 364715 375440 376480 382850 395200 426436 447070 447640 448880 469300 470600 471200 490048 522728 533045 550240 559550 561100 577600 581932 583544 612560 644800 653410 687800 715312 716224 727415 729430 750880 752960 765700 849433 852872 894140 895280 897760 938600 941200 942400 1045456 1066090 1100480 1117675 1119100 1122200 1163864 1167088 1225120 1306820 1375600 1385917 1430624 1454830 1458860 1501760 1531400 1633525 1698866 1705744 1788280 1790560 1795520 1823575 1877200 1882400 2025571 2090912 2132180 2235350 2238200 2244400 2327728 2334176 2450240 2613640 2665225 2751200 2771834 2861248 2909660 2917720 3062800 3267050 3397732 3411488 3576560 3581120 3637075 3647150 3754400 3764800 4051142 4181824 4247165 4264360 4470700 4476400 4488800 4655456 4668352 5227280 5330450 5502400 5543668 5819320 5835440 6125600 6534100 6795464 6822976 6929585 7153120 7274150 7294300 7508800 8102284 8494330 8528720 8941400 8952800 8977600 9310912 10127855 10454560 10660900 11087336 11638640 11670880 12251200 13068200 13590928 13859170 14306240 14548300 14588600 16204568 16988660 17057440 17882800 17905600 20255710 20909120 21235825 21321800 22174672 23277280 23341760 26136400 26332423 27181856 27718340 29096600 29177200 32409136 33977320 34114880 34647925 35765600 40511420 42471650 42643600 44349344 46554560 50639275 52272800 52664846 54363712 55436680 58193200 58354400 64818272 67954640 69295850 71531200 81022840 84943300 85287200 88698688 101278550 104545600 105329692 110873360 116386400 116708800 129636544 131662115 135909280 138591700 162045680 169886600 170574400 202557100 210659384 221746720 232772800 263324230 271818560 277183400 324091360 339773200 405114200 421318768 443493440 526648460 554366800 648182720 658310575 679546400 810228400 842637536 1053296920 1108733600 1316621150 1359092800 1620456800 1685275072 2106593840 2217467200 2633242300 3240913600 4213187680 5266484600 8426375360 10532969200 21065938400 42131876800
- Sum of all divisors σ(n): 122303755392
- Sum of proper divisors (its aliquot sum) s(n): 80171878592
- 42131876800 is an abundant number, because the sum of its proper divisors (80171878592) is greater than itself. Its abundance is 38040001792
Bases of 42131876800
- Binary: 1001110011110100000101101011110000002
- Hexadecimal: 0x9CF416BC0
- Base-36: JCS8C74
Squares and roots of 42131876800
- 42131876800 squared (421318768002) is 1775095042690378240000
- 42131876800 cubed (421318768003) is 74788085646921756553080832000000
-
The
square root of 42131876800 is 205260.5095969509 -
The
cube root of 42131876800 is 3479.6609966155
Scales and comparisons
How big is 42131876800?- 42,131,876,800 seconds is equal to 1,339 years, 34 weeks, 3 days, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,131,876,800 would take you about two thousand, six hundred seventy-nine 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 42131876800 cubic inches would be around 290 feet tall.
Recreational maths with 42131876800
- 42131876800 backwards is 00867813124
- 42131876800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42131876800's digits is 40
- More coming soon!
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