980013400256000
980,013,400,256,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 980013400256000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
980013400256000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 980013400256000:
29 × 53 × 11 × 23 × 733 × 82571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 23 × 733 × 82571)See below for interesting mathematical facts about the number 980013400256000 from the Numbermatics database.
Names of 980013400256000
- Cardinal: 980013400256000 can be written as Nine hundred eighty trillion, thirteen billion, four hundred million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 9.80013400256 × 1014
Factors of 980013400256000
Divisors of 980013400256000
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 125 128 160 176 184 200 220 230 250 253 256 275 320 352 368 400 440 460 500 506 512 550 575 640 704 733 736 800 880 920 1000 1012 1100 1150 1265 1280 1375 1408 1466 1472 1600 1760 1840 2000 2024 2200 2300 2530 2560 2750 2816 2875 2932 2944 3200 3520 3665 3680 4000 4048 4400 4600 5060 5500 5632 5750 5864 5888 6325 6400 7040 7330 7360 8000 8063 8096 8800 9200 10120 11000 11500 11728 11776 12650 12800 14080 14660 14720 16000 16126 16192 16859 17600 18325 18400 20240 22000 23000 23456 25300 28160 29320 29440 31625 32000 32252 32384 33718 35200 36650 36800 40315 40480 44000 46000 46912 50600 58640 58880 63250 64000 64504 64768 67436 70400 73300 73600 80630 80960 82571 84295 88000 91625 92000 93824 101200 117280 126500 129008 129536 134872 140800 146600 147200 161260 161920 165142 168590 176000 183250 184000 185449 187648 201575 202400 234560 253000 258016 269744 293200 294400 322520 323840 330284 337180 352000 366500 368000 370898 375296 403150 404800 412855 421475 469120 506000 516032 539488 586400 645040 647680 660568 674360 704000 733000 736000 741796 806300 809600 825710 842950 908281 927245 938240 1007875 1012000 1032064 1078976 1172800 1290080 1321136 1348720 1466000 1472000 1483592 1612600 1619200 1651420 1685900 1816562 1854490 1876480 1899133 2015750 2024000 2064128 2064275 2107375 2157952 2345600 2580160 2642272 2697440 2932000 2967184 3225200 3238400 3302840 3371800 3633124 3708980 3798266 4031500 4048000 4128256 4128550 4214750 4315904 4541405 4636225 4691200 5160320 5284544 5394880 5864000 5934368 6450400 6605680 6743600 7266248 7417960 7596532 8063000 8096000 8257100 8429500 8631808 9082810 9272450 9382400 9495665 10320640 10321375 10569088 10789760 11728000 11868736 12900800 13211360 13487200 14532496 14835920 15193064 16126000 16192000 16514200 16859000 18165620 18544900 18991330 20641280 20642750 20890463 21138176 21579520 22707025 23181125 23456000 23737472 25801600 26422720 26974400 29064992 29671840 30386128 32252000 33028400 33718000 36331240 37089800 37982660 41285500 41780926 42276352 43159040 45414050 46362250 46912000 47474944 47478325 51603200 52845440 53948800 58129984 59343680 60524543 60772256 64504000 66056800 67436000 72662480 74179600 75965320 82571000 83561852 90828100 92724500 94949888 94956650 103206400 104452315 105690880 107897600 113535125 116259968 118687360 121049086 121544512 129008000 132113600 134872000 145324960 148359200 151930640 165142000 167123704 181656200 185449000 189913300 208904630 211381760 215795200 227070250 232519936 237374720 237391625 242098172 243089024 258016000 264227200 269744000 290649920 296718400 302622715 303861280 330284000 334247408 363312400 370898000 379826600 417809260 454140500 465039872 474749440 474783250 484196344 486178048 516032000 522261575 528454400 539488000 581299840 593436800 605245430 607722560 660568000 665769973 668494816 726624800 741796000 759653200 835618520 908281000 949566500 968392688 972356096 1044523150 1056908800 1078976000 1162599680 1186873600 1210490860 1215445120 1321136000 1331539946 1336989632 1392064489 1453249600 1483592000 1513113575 1519306400 1671237040 1816562000 1899133000 1936785376 2089046300 2325199360 2373747200 2420981720 2430890240 2611307875 2642272000 2663079892 2673979264 2784128978 2906499200 2967184000 3026227150 3038612800 3328849865 3342474080 3633124000 3798266000 3873570752 4178092600 4841963440 4861780480 5222615750 5284544000 5326159784 5347958528 5568257956 5812998400 5934368000 6052454300 6077225600 6657699730 6684948160 6960322445 7266248000 7565567875 7596532000 7747141504 8356185200 9683926880 10445231500 10652319568 10695917056 11136515912 11625996800 11868736000 12104908600 12154451200 13315399460 13369896320 13920644890 14532496000 15131135750 15193064000 15312709379 15494283008 16644249325 16712370400 19367853760 20890463000 21304639136 22273031824 24209817200 24308902400 26630798920 26739792640 27841289780 29064992000 30262271500 30386128000 30625418758 30988566016 33288498650 33424740800 34801612225 38735707520 41780926000 42609278272 44546063648 48419634400 53261597840 53479585280 55682579560 58129984000 60524543000 60772256000 61250837516 66576997300 66849481600 69603224450 76563546895 77471415040 83221246625 83561852000 85218556544 89092127296 96839268800 106523195680 111365159120 121049086000 121544512000 122501675032 133153994600 133698963200 139206448900 153127093790 154942830080 166442493250 167123704000 170437113088 174008061125 178184254592 193678537600 213046391360 222730318240 242098172000 245003350064 266307989200 267397926400 278412897800 306254187580 332884986500 334247408000 340874226176 348016122250 356368509184 382817734475 387357075200 426092782720 445460636480 484196344000 490006700128 532615978400 556825795600 612508375160 665769973000 668494816000 696032244500 712737018368 765635468950 774714150400 852185565440 890921272960 968392688000 980013400256 1065231956800 1113651591200 1225016750320 1331539946000 1336989632000 1392064489000 1531270937900 1704371130880 1781842545920 1914088672375 1936785376000 1960026800512 2130463913600 2227303182400 2450033500640 2663079892000 2784128978000 3062541875800 3563685091840 3828177344750 3873570752000 3920053601024 4260927827200 4454606364800 4900067001280 5326159784000 5568257956000 6125083751600 7656354689500 7840107202048 8521855654400 8909212729600 9800134002560 10652319568000 11136515912000 12250167503200 15312709379000 17818425459200 19600268005120 21304639136000 22273031824000 24500335006400 30625418758000 39200536010240 42609278272000 44546063648000 49000670012800 61250837516000 89092127296000 98001340025600 122501675032000 196002680051200 245003350064000 490006700128000 980013400256000
- Sum of all divisors σ(n): 2785618151027712
- Sum of proper divisors (its aliquot sum) s(n): 1805604750771712
- 980013400256000 is an abundant number, because the sum of its proper divisors (1805604750771712) is greater than itself. Its abundance is 825591350515712
Bases of 980013400256000
- Binary: 110111101101010001001001101001100011101110000000002
- Hexadecimal: 0x37B512698EE00
- Base-36: 9NDVXVBDVK
Squares and roots of 980013400256000
- 980013400256000 squared (9800134002560002) is 960426264681326860865536000000
- 980013400256000 cubed (9800134002560003) is 941230609345516177186580554563977216000000000
-
The
square root of 980013400256000 is 31305165.7120035063 -
The
cube root of 980013400256000 is 99329.2915677913
Scales and comparisons
How big is 980013400256000?- 980,013,400,256,000 seconds is equal to 31,161,394 years, 38 weeks, 6 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 980,013,400,256,000 would take you about seventy-seven million, nine hundred three thousand, four hundred eighty-six 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 980013400256000 cubic inches would be around 8277.4 feet tall.
Recreational maths with 980013400256000
- 980013400256000 backwards is 000652004310089
- The number of decimal digits it has is: 15
- The sum of 980013400256000's digits is 38
- More coming soon!
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