42638667623506240
42,638,667,623,506,240 is an even composite number composed of six prime numbers multiplied together.
42638667623506240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 42638667623506240:
26 × 5 × 11 × 13 × 30643 × 30407893
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 30643 × 30407893)See below for interesting mathematical facts about the number 42638667623506240 from the Numbermatics database.
Names of 42638667623506240
- Cardinal: 42638667623506240 can be written as Forty-two quadrillion, six hundred thirty-eight trillion, six hundred sixty-seven billion, six hundred twenty-three million, five hundred six thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.263866762350624 × 1016
Factors of 42638667623506240
Divisors of 42638667623506240
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 30643 45760 61286 122572 153215 245144 306430 337073 398359 490288 612860 674146 796718 980576 1225720 1348292 1593436 1685365 1961152 1991795 2451440 2696584 3186872 3370730 3983590 4381949 4902880 5393168 6373744 6741460 7967180 8763898 9805760 10786336 12747488 13482920 15934360 17527796 21572672 21909745 25494976 26965840 30407893 31868720 35055592 43819490 53931680 60815786 63737440 70111184 87638980 107863360 121631572 127474880 140222368 152039465 175277960 243263144 280444736 304078930 334486823 350555920 395302609 486526288 608157860 668973646 701111840 790605218 973052576 1216315720 1337947292 1402223680 1581210436 1672434115 1946105152 1976513045 2432631440 2675894584 3162420872 3344868230 3953026090 4348328699 4865262880 5351789168 6324841744 6689736460 7906052180 8696657398 9730525760 10703578336 12649683488 13379472920 15812104360 17393314796 21407156672 21741643495 25299366976 26758945840 31624208720 34786629592 43483286990 53517891680 63248417440 69573259184 86966573980 107035783360 126496834880 139146518368 173933147960 278293036736 347866295920 695732591840 931789065199 1391465183680 1863578130398 3727156260796 4658945325995 7454312521592 9317890651990 10249679717189 12113257847587 14908625043184 18635781303980 20499359434378 24226515695174 29817250086368 37271562607960 40998718868756 48453031390348 51248398585945 59634500172736 60566289237935 74543125215920 81997437737512 96906062780696 102496797171890 121132578475870 133245836323457 149086250431840 163994875475024 193812125561392 204993594343780 242265156951740 266491672646914 298172500863680 327989750950048 387624251122784 409987188687560 484530313903480 532983345293828 655979501900096 666229181617285 775248502245568 819974377375120 969060627806960 1065966690587656 1332458363234570 1639948754750240 1938121255613920 2131933381175312 2664916726469140 3279897509500480 3876242511227840 4263866762350624 5329833452938280 8527733524701248 10659666905876560 21319333811753120 42638667623506240
- Sum of all divisors σ(n): 119287805590267776
- Sum of proper divisors (its aliquot sum) s(n): 76649137966761536
- 42638667623506240 is an abundant number, because the sum of its proper divisors (76649137966761536) is greater than itself. Its abundance is 34010470343255296
Bases of 42638667623506240
- Binary: 100101110111101110100100011011010110010100100001010000002
- Hexadecimal: 0x977BA46D652140
- Base-36: BNU59HP9F0G
Squares and roots of 42638667623506240
- 42638667623506240 squared (426386676235062402) is 1818055976707839268324191318937600
- 42638667623506240 cubed (426386676235062403) is 77519484511774560998231282409638750490623770624000
-
The
square root of 42638667623506240 is 206491325.7827220209 -
The
cube root of 42638667623506240 is 349355.7334901373
Scales and comparisons
How big is 42638667623506240?- 42,638,667,623,506,240 seconds is equal to 1,355,777,740 years, 19 weeks, 1 day, 6 hours, 50 minutes, 40 seconds.
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To count from 1 to 42,638,667,623,506,240 would take you about four billion, sixty-seven million, three hundred thirty-three thousand, two hundred twenty-one 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 42638667623506240 cubic inches would be around 29113 feet tall.
Recreational maths with 42638667623506240
- 42638667623506240 backwards is 04260532676683624
- The number of decimal digits it has is: 17
- The sum of 42638667623506240's digits is 70
- More coming soon!
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