42142446854144
42,142,446,854,144 is an even composite number composed of six prime numbers multiplied together.
42142446854144 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 42142446854144:
213 × 7 × 13 × 37 × 683 × 2237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 37 × 683 × 2237)See below for interesting mathematical facts about the number 42142446854144 from the Numbermatics database.
Names of 42142446854144
- Cardinal: 42142446854144 can be written as Forty-two trillion, one hundred forty-two billion, four hundred forty-six million, eight hundred fifty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2142446854144 × 1013
Factors of 42142446854144
Divisors of 42142446854144
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 128 148 182 208 224 256 259 296 364 416 448 481 512 518 592 683 728 832 896 962 1024 1036 1184 1366 1456 1664 1792 1924 2048 2072 2237 2368 2732 2912 3328 3367 3584 3848 4096 4144 4474 4736 4781 5464 5824 6656 6734 7168 7696 8192 8288 8879 8948 9472 9562 10928 11648 13312 13468 14336 15392 15659 16576 17758 17896 18944 19124 21856 23296 25271 26624 26936 28672 29081 30784 31318 33152 35516 35792 37888 38248 43712 46592 50542 53248 53872 57344 58162 61568 62153 62636 66304 71032 71584 75776 76496 82769 87424 93184 101084 106496 107744 116324 123136 124306 125272 132608 142064 143168 151552 152992 165538 174848 176897 186368 202168 203567 215488 232648 246272 248612 250544 265216 284128 286336 303104 305984 328523 331076 349696 353794 372736 404336 407134 430976 465296 492544 497224 501088 530432 568256 572672 579383 611968 657046 662152 699392 707588 745472 808672 814268 861952 930592 985088 994448 1002176 1060864 1075997 1136512 1145344 1158766 1223936 1314092 1324304 1398784 1415176 1527871 1617344 1628536 1723904 1861184 1970176 1988896 2004352 2121728 2151994 2273024 2290688 2299661 2317532 2447872 2628184 2648608 2797568 2830352 3055742 3234688 3257072 3447808 3722368 3940352 3977792 4008704 4303988 4546048 4581376 4599322 4635064 4895744 5256368 5297216 5595136 5660704 6111484 6469376 6514144 6895616 7444736 7531979 7955584 8017408 8607976 9092096 9162752 9198644 9270128 9791488 10512736 10594432 10695097 11321408 12222968 12938752 13028288 13791232 14889472 15063958 15911168 16034816 17215952 18184192 18325504 18397288 18540256 19582976 19862323 21025472 21188864 21390194 22642816 24445936 25877504 26056576 27582464 29778944 30127916 31822336 32069632 34431904 36368384 36794576 37080512 39165952 39724646 42050944 42377728 42780388 45285632 48891872 51755008 52113152 56531227 59557888 60255832 63644672 64139264 68863808 72736768 73589152 74161024 79449292 84101888 84755456 85560776 90571264 97783744 103510016 104226304 113062454 119115776 120511664 127289344 128278528 137727616 139036261 147178304 148322048 158898584 168203776 169510912 171121552 181142528 195567488 207020032 208452608 226124908 238231552 241023328 254578688 275455232 278072522 294356608 296644096 317797168 336407552 339021824 342243104 362285056 391134976 395718589 416905216 452249816 482046656 509157376 550910464 556145044 588713216 593288192 635594336 672815104 678043648 684486208 724570112 734905951 782269952 791437178 833810432 904499632 964093312 1101820928 1112290088 1177426432 1186576384 1271188672 1345630208 1368972416 1449140224 1469811902 1564539904 1582874356 1667620864 1808999264 1928186624 2203641856 2224580176 2354852864 2373152768 2542377344 2691260416 2737944832 2939623804 3129079808 3165748712 3617998528 3856373248 4407283712 4449160352 4709705728 4746305536 5084754688 5144341657 5475889664 5879247608 6258159616 6331497424 7235997056 7712746496 8814567424 8898320704 9419411456 10169509376 10288683314 10951779328 11758495216 12516319232 12662994848 14471994112 15425492992 17796641408 18838822912 20339018752 20577366628 21903558656 23516990432 25325989696 28943988224 30850985984 35593282816 40678037504 41154733256 43807117312 47033980864 50651979392 57887976448 61701971968 71186565632 81356075008 82309466512 87614234624 94067961728 101303958784 115775952896 142373131264 162712150016 164618933024 188135923456 202607917568 231551905792 284746262528 329237866048 376271846912 405215835136 463103811584 569492525056 658475732096 752543693824 810431670272 1138985050112 1316951464192 1505087387648 1620863340544 2633902928384 3010174775296 3241726681088 5267805856768 6020349550592 10535611713536 21071223427072 42142446854144
- Sum of all divisors σ(n): 106736076470016
- Sum of proper divisors (its aliquot sum) s(n): 64593629615872
- 42142446854144 is an abundant number, because the sum of its proper divisors (64593629615872) is greater than itself. Its abundance is 22451182761728
Bases of 42142446854144
- Binary: 10011001010100000011011001001100100000000000002
- Hexadecimal: 0x26540D932000
- Base-36: EXRZ0RRI8
Squares and roots of 42142446854144
- 42142446854144 squared (421424468541442) is 1775985826854351522009972736
- 42142446854144 cubed (421424468541443) is 74844388321922496974006313904038408617984
-
The
square root of 42142446854144 is 6491721.4091598231 -
The
cube root of 42142446854144 is 34799.5196497929
Scales and comparisons
How big is 42142446854144?- 42,142,446,854,144 seconds is equal to 1,339,999 years, 23 weeks, 4 days, 13 hours, 15 minutes, 44 seconds.
-
To count from 1 to 42,142,446,854,144 would take you about three million, three hundred forty-nine thousand, nine hundred ninety-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 42142446854144 cubic inches would be around 2900 feet tall.
Recreational maths with 42142446854144
- 42142446854144 backwards is 44145864424124
- The number of decimal digits it has is: 14
- The sum of 42142446854144's digits is 53
- More coming soon!
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