13837434705150676992
13,837,434,705,150,676,992 is an even composite number composed of four prime numbers multiplied together.
13837434705150676992 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty divisors.
Prime factorization of 13837434705150676992:
212 × 34 × 5051 × 8257208467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5051 × 8257208467)See below for interesting mathematical facts about the number 13837434705150676992 from the Numbermatics database.
Names of 13837434705150676992
- Cardinal: 13837434705150676992 can be written as Thirteen quintillion, eight hundred thirty-seven quadrillion, four hundred thirty-four trillion, seven hundred five billion, one hundred fifty million, six hundred seventy-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.3837434705150676992 × 1019
Factors of 13837434705150676992
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 8257213523
Divisors of 13837434705150676992
- Number of divisors d(n): 260
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5051 5184 6144 6912 9216 10102 10368 12288 13824 15153 18432 20204 20736 27648 30306 36864 40408 41472 45459 55296 60612 80816 82944 90918 110592 121224 136377 161632 165888 181836 242448 272754 323264 331776 363672 409131 484896 545508 646528 727344 818262 969792 1091016 1293056 1454688 1636524 1939584 2182032 2586112 2909376 3273048 3879168 4364064 5172224 5818752 6546096 7758336 8728128 10344448 11637504 13092192 15516672 17456256 20688896 23275008 26184384 31033344 34912512 46550016 52368768 62066688 69825024 93100032 104737536 139650048 186200064 209475072 279300096 418950144 558600192 837900288 1675800576 8257208467 16514416934 24771625401 33028833868 49543250802 66057667736 74314876203 99086501604 132115335472 148629752406 198173003208 222944628609 264230670944 297259504812 396346006416 445889257218 528461341888 594519009624 668833885827 792692012832 891778514436 1056922683776 1189038019248 1337667771654 1585384025664 1783557028872 2113845367552 2378076038496 2675335543308 3170768051328 3567114057744 4227690735104 4756152076992 5350671086616 6341536102656 7134228115488 8455381470208 9512304153984 10701342173232 12683072205312 14268456230976 16910762940416 19024608307968 21402684346464 25366144410624 28536912461952 33821525880832 38049216615936 41707159966817 42805368692928 50732288821248 57073824923904 76098433231872 83414319933634 85610737385856 101464577642496 114147649847808 125121479900451 152196866463744 166828639867268 171221474771712 228295299695616 250242959800902 304393732927488 333657279734536 342442949543424 375364439701353 456590599391232 500485919601804 667314559469072 684885899086848 750728879402706 913181198782464 1000971839203608 1126093319104059 1334629118938144 1369771798173696 1501457758805412 2001943678407216 2252186638208118 2669258237876288 2739543596347392 3002915517610824 3378279957312177 4003887356814432 4504373276416236 5338516475752576 6005831035221648 6756559914624354 8007774713628864 9008746552832472 10677032951505152 12011662070443296 13513119829248708 16015549427257728 18017493105664944 21354065903010304 24023324140886592 27026239658497416 32031098854515456 36034986211329888 42708131806020608 48046648281773184 54052479316994832 64062197709030912 72069972422659776 85416263612041216 96093296563546368 108104958633989664 128124395418061824 144139944845319552 170832527224082432 192186593127092736 216209917267979328 256248790836123648 288279889690639104 384373186254185472 432419834535958656 512497581672247296 576559779381278208 768746372508370944 864839669071917312 1153119558762556416 1537492745016741888 1729679338143834624 2306239117525112832 3459358676287669248 4612478235050225664 6918717352575338496 13837434705150676992
- Sum of all divisors σ(n): 41344608837019993296
- Sum of proper divisors (its aliquot sum) s(n): 27507174131869316304
- 13837434705150676992 is an abundant number, because the sum of its proper divisors (27507174131869316304) is greater than itself. Its abundance is 13669739426718639312
Bases of 13837434705150676992
- Binary: 11000000000010000111000110001100111010110010101100010000000000002
- Hexadecimal: 0xC008718CEB2B1000
- Base-36: 2X4OX82I60W00
Squares and roots of 13837434705150676992
- 13837434705150676992 squared (138374347051506769922) is 191474599219308403101714318275918168064
- 13837434705150676992 cubed (138374347051506769923) is 2649517264392074819832562291206295608029962236722033983488
-
The
square root of 13837434705150676992 is 3719870253.8059949103 -
The
cube root of 13837434705150676992 is 2400777.2196397297
Scales and comparisons
How big is 13837434705150676992?- 13,837,434,705,150,676,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,837,434,705,150,676,992 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13837434705150676992 cubic inches would be around 200064.8 feet tall.
Recreational maths with 13837434705150676992
- 13837434705150676992 backwards is 29967605150743473831
- The number of decimal digits it has is: 20
- The sum of 13837434705150676992's digits is 90
- More coming soon!
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