42234778144200
42,234,778,144,200 is an even composite number composed of seven prime numbers multiplied together.
42234778144200 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 42234778144200:
23 × 3 × 52 × 31 × 61 × 71 × 524287
(2 × 2 × 2 × 3 × 5 × 5 × 31 × 61 × 71 × 524287)See below for interesting mathematical facts about the number 42234778144200 from the Numbermatics database.
Names of 42234778144200
- Cardinal: 42234778144200 can be written as Forty-two trillion, two hundred thirty-four billion, seven hundred seventy-eight million, one hundred forty-four thousand, two hundred.
Scientific notation
- Scientific notation: 4.22347781442 × 1013
Factors of 42234778144200
Divisors of 42234778144200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 61 62 71 75 93 100 120 122 124 142 150 155 183 186 200 213 244 248 284 300 305 310 355 366 372 426 465 488 568 600 610 620 710 732 744 775 852 915 930 1065 1220 1240 1420 1464 1525 1550 1704 1775 1830 1860 1891 2130 2201 2325 2440 2840 3050 3100 3550 3660 3720 3782 4260 4331 4402 4575 4650 5325 5673 6100 6200 6603 7100 7320 7564 8520 8662 8804 9150 9300 9455 10650 11005 11346 12200 12993 13206 14200 15128 17324 17608 18300 18600 18910 21300 21655 22010 22692 25986 26412 28365 33015 34648 36600 37820 42600 43310 44020 45384 47275 51972 52824 55025 56730 64965 66030 75640 86620 88040 94550 103944 108275 110050 113460 129930 132060 134261 141825 165075 173240 189100 216550 220100 226920 259860 264120 268522 283650 324825 330150 378200 402783 433100 440200 519720 524287 537044 567300 649650 660300 671305 805566 866200 1048574 1074088 1134600 1299300 1320600 1342610 1572861 1611132 2013915 2097148 2598600 2621435 2685220 3145722 3222264 3356525 4027830 4194296 5242870 5370440 6291444 6713050 7864305 8055660 10069575 10485740 12582888 13107175 13426100 15728610 16111320 16252897 20139150 20971480 26214350 26852200 31457220 31981507 32505794 37224377 39321525 40278300 48758691 52428700 62914440 63963014 65011588 74448754 78643050 80556600 81264485 95944521 97517382 104857400 111673131 127926028 130023176 148897508 157286100 159907535 162528970 186121885 191889042 195034764 223346262 243793455 255852056 297795016 314572200 319815070 325057940 372243770 383778084 390069528 406322425 446692524 479722605 487586910 558365655 639630140 650115880 744487540 767556168 799537675 812644850 893385048 930609425 959445210 975173820 991426717 1116731310 1153955687 1218967275 1279260280 1488975080 1599075350 1625289700 1861218850 1918890420 1950347640 1982853434 2233462620 2270686997 2307911374 2398613025 2437934550 2791828275 2974280151 3198150700 3250579400 3461867061 3722437700 3837780840 3965706868 4466925240 4541373994 4615822748 4797226050 4875869100 4957133585 5583656550 5769778435 5948560302 6396301400 6812060991 6923734122 7444875400 7931413736 9082747988 9231645496 9594452100 9751738200 9914267170 11167313100 11353434985 11539556870 11897120604 13624121982 13847468244 14871400755 17309335305 18165495976 19188904200 19828534340 22334626200 22706869970 23079113740 23794241208 24785667925 27248243964 27694936488 28848892175 29742801510 34060304955 34618670610 39657068680 45413739940 46158227480 49571335850 54496487928 56767174925 57697784350 59485603020 68120609910 69237341220 70391296907 74357003775 86546676525 90827479880 99142671700 113534349850 115395568700 118971206040 136241219820 138474682440 140782593814 148714007550 170301524775 173093353050 198285343400 211173890721 227068699700 230791137400 272482439640 281565187628 297428015100 340603049550 346186706100 351956484535 422347781442 454137399400 563130375256 594856030200 681206099100 692373412200 703912969070 844695562884 1055869453605 1362412198200 1407825938140 1689391125768 1759782422675 2111738907210 2815651876280 3519564845350 4223477814420 5279347268025 7039129690700 8446955628840 10558694536050 14078259381400 21117389072100 42234778144200
- Sum of all divisors σ(n): 139301895536640
- Sum of proper divisors (its aliquot sum) s(n): 97067117392440
- 42234778144200 is an abundant number, because the sum of its proper divisors (97067117392440) is greater than itself. Its abundance is 54832339248240
Bases of 42234778144200
- Binary: 10011001101001100011001111001011001101110010002
- Hexadecimal: 0x26698CF2CDC8
- Base-36: EYYE0FQVC
Squares and roots of 42234778144200
- 42234778144200 squared (422347781442002) is 1783776484889793995993640000
- 42234778144200 cubed (422347781442003) is 75337404098161373007632569034202888000000
-
The
square root of 42234778144200 is 6498828.9825321607 -
The
cube root of 42234778144200 is 34824.9155873253
Scales and comparisons
How big is 42234778144200?- 42,234,778,144,200 seconds is equal to 1,342,935 years, 15 weeks, 5 days, 17 hours, 50 minutes.
-
To count from 1 to 42,234,778,144,200 would take you about three million, three hundred fifty-seven thousand, three hundred thirty-eight 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 42234778144200 cubic inches would be around 2902.1 feet tall.
Recreational maths with 42234778144200
- 42234778144200 backwards is 00244187743224
- The number of decimal digits it has is: 14
- The sum of 42234778144200's digits is 48
- More coming soon!
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