131324498427408000
131,324,498,427,408,000 is an even composite number composed of six prime numbers multiplied together.
131324498427408000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 131324498427408000:
27 × 3 × 53 × 11 × 136 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 227 × 227)See below for interesting mathematical facts about the number 131324498427408000 from the Numbermatics database.
Names of 131324498427408000
- Cardinal: 131324498427408000 can be written as One hundred thirty-one quadrillion, three hundred twenty-four trillion, four hundred ninety-eight billion, four hundred twenty-seven million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.31324498427408 × 1017
Factors of 131324498427408000
Divisors of 131324498427408000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 125 128 130 132 143 150 156 160 165 169 176 192 195 200 208 220 227 240 250 260 264 275 286 300 312 320 325 330 338 352 375 384 390 400 416 429 440 454 480 500 507 520 528 550 572 600 624 640 650 660 676 681 704 715 750 780 800 825 832 845 858 880 908 960 975 1000 1014 1040 1056 1100 1135 1144 1200 1248 1300 1320 1352 1362 1375 1408 1430 1500 1560 1600 1625 1650 1664 1690 1716 1760 1816 1859 1920 1950 2000 2028 2080 2112 2145 2197 2200 2270 2288 2400 2496 2497 2535 2600 2640 2704 2724 2750 2860 2951 3000 3120 3200 3250 3300 3380 3405 3432 3520 3575 3632 3718 3900 4000 4056 4125 4160 4224 4225 4290 4394 4400 4540 4576 4800 4875 4992 4994 5070 5200 5280 5408 5448 5500 5577 5675 5720 5902 6000 6240 6500 6591 6600 6760 6810 6864 7040 7150 7264 7436 7491 7800 8000 8112 8250 8320 8450 8580 8788 8800 8853 9080 9152 9295 9600 9750 9988 10140 10400 10560 10725 10816 10896 10985 11000 11154 11350 11440 11804 12000 12480 12485 12675 13000 13182 13200 13520 13620 13728 14300 14528 14755 14872 14982 15600 16000 16224 16500 16900 17025 17160 17576 17600 17706 17875 18160 18304 18590 19500 19976 20280 20800 21120 21125 21450 21632 21792 21970 22000 22308 22700 22880 23608 24000 24167 24960 24970 25350 26000 26364 26400 27040 27240 27456 27885 28375 28561 28600 29056 29510 29744 29964 31200 32448 32461 32955 33000 33800 34050 34320 35152 35200 35412 35750 36320 37180 37455 38363 39000 39952 40560 41600 42250 42900 43584 43940 44000 44265 44616 45400 45760 46475 47216 48000 48334 49940 50700 51529 52000 52728 52800 53625 54080 54480 54912 54925 55770 56750 57122 57200 59020 59488 59928 62400 62425 63375 64896 64922 65910 66000 67600 68100 68640 70304 70824 71500 72501 72640 73775 74360 74910 76726 78000 79904 81120 84500 85125 85683 85800 87168 87880 88000 88530 89232 90800 91520 92950 94432 96668 97383 99880 101400 103058 104000 105456 105600 107250 108160 108960 109850 111540 113500 114244 114400 115089 118040 118976 119856 120835 124800 124850 126750 129844 131820 132000 135200 136200 137280 139425 140608 141648 142805 143000 145002 145280 147550 148720 149820 153452 154587 156000 159808 162240 162305 164775 169000 170250 171366 171600 175760 176000 177060 178464 181600 185900 187275 188864 191815 193336 194766 199760 202800 206116 208000 210912 214500 217920 219700 221325 223080 227000 228488 228800 230178 232375 236080 237952 239712 241670 249700 253500 257645 259688 263640 264000 270400 272400 274560 274625 278850 281216 283296 285610 286000 290004 295100 297440 299640 306904 309174 312000 312125 314171 319616 324480 324610 329550 338000 340500 342732 343200 351520 354120 356928 362505 363200 368875 371293 371800 374550 377728 383630 386672 389532 399520 405600 412232 421824 421993 428415 429000 435840 439400 442650 446160 454000 456976 457600 460356 464750 472160 479424 483340 486915 498719 499400 507000 515290 519376 527280 528000 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2490602686000 2525471123604 2548555152000 2590226793440 2629645543200 2717021112000 2735927050571 2781355863000 2825701956480 2869853549550 2892610097520 2943439538000 2966779587200 2984647691532 2988723223200 3013135518250 3061177119520 3108272152128 3156838904505 3237783491800 3287056929000 3367294831472 3423207216000 3506194057600 3532127445600 3615762621900 3673412543424 3708474484000 3730809614415 3735904029000 3826471399400 3856813463360 3885340190160 3979530255376 3984964297600 4045608528000 4047229364750 4209118539340 4382742572000 4415159307000 4450169380800 4519703277375 4591765679280 4598035728000 4628176156032 4709503260800 4783089249250 4821016829200 4856675237700 4974412819220 4981205372000 5050942247208 5180453586880 5259291086400 5261398174175 5434042224000 5471854101142 5562711726000 5739707099100 5785220195040 5886879076000 5969295383064 5977446446400 6026271036500 6070844047125 6122354239040 6216544304256 6218016024025 6313677809010 6475566983600 6574113858000 6734589662944 7064254891200 7174633873875 7231525243800 7346825086848 7416948968000 7461619228830 7471808058000 7652942798800 7713626926720 7770680380320 7959060510752 8094458729500 8207781151713 8418237078680 8765485144000 8830318614000 8900338761600 9039406554750 9183531358560 9566178498500 9642033658400 9713350475400 9948825638440 9962410744000 10101884494416 10360907173760 10518582172800 10522796348350 10943708202284 11125423452000 11479414198200 11570440390080 11773758152000 11938590766128 11954892892800 12052542073000 12141688094250 12244708478080 12436032048050 12627355618020 12951133967200 13148227716000 13469179325888 13679635252855 14128509782400 14349267747750 14463050487600 14833897936000 14923238457660 14943616116000 15305885597600 15541360760640 15784194522525 15918121021504 16188917459000 16415562303426 16836474157360 17530970288000 17660637228000 18078813109500 18367062717120 18654048072075 19132356997000 19284067316800 19426700950800 19897651276880 19924821488000 20203768988832 21045592696700 21887416404568 22250846904000 22958828396400 23140880780160 23547516304000 23877181532256 24105084146000 24283376188500 24872064096100 25254711236040 25902267934400 26296455432000 26306990870875 26938358651776 27359270505710 28698535495500 28926100975200 29846476915320 29887232232000 30611771195200 31082721521280 31090080120125 31568389045050 31836242043008 32377834918000 32831124606852 33672948314720 35321274456000 36157626219000 36734125434240 37308096144150 38264713994000 38568134633600 38853401901600 39795302553760 40407537977664 41038905758565 42091185393400 43774832809136 44501693808000 45917656792800 47754363064512 48210168292000 48566752377000 49744128192200 50509422472080 51804535868800 52592910864000 52613981741750 54718541011420 57397070991000 57852201950400 59692953830640 59774464464000 61223542390400 62180160240250 63136778090100 64755669836000 65662249213704 67345896629440 68398176264275 70642548912000 72315252438000 74616192288300 76529427988000 77706803803200 78920972612625 79590605107520 80815075955328 82077811517130 84182370786800 87549665618272 91835313585600 93270240360375 95508726129024 96420336584000 97133504754000 99488256384400 101018844944160 105227963483500 109437082022840 114794141982000 115704403900800 119385907661280 124360320480500 126273556180200 129511339672000 131324498427408 134691793258880 136796352528550 144630504876000 149232384576600 153058855976000 155413607606400 157841945225250 159181210215040 164155623034260 168364741573600 175099331236544 183670627171200 186540480720750 192840673168000 194267009508000 198976512768800 202037689888320 205194528792825 210455926967000 218874164045680 229588283964000 238771815322560 248720640961000 252547112360400 259022679344000 262648996854816 273592705057100 289261009752000 298464769153200 306117711952000 315683890450500 328311246068520 336729483147200 341990881321375 350198662473088 373080961441500 388534019016000 397953025537600 404075379776640 410389057585650 420911853934000 437748328091360 459176567928000 477543630645120 497441281922000 505094224720800 525297993709632 547185410114200 578522019504000 596929538306400 631367780901000 656622492137040 673458966294400 683981762642750 746161922883000 777068038032000 795906051075200 820778115171300 841823707868000 875496656182720 918353135856000 994882563844000 1010188449441600 1025972643964125 1050595987419264 1094370820228400 1193859076612800 1262735561802000 1313244984274080 1367963525285500 1492323845766000 1641556230342600 1683647415736000 1750993312365440 1989765127688000 2020376898883200 2051945287928250 2188741640456800 2387718153225600 2525471123604000 2626489968548160 2735927050571000 2984647691532000 3283112460685200 3367294831472000 3979530255376000 4103890575856500 4377483280913600 5050942247208000 5252979937096320 5471854101142000 5969295383064000 6566224921370400 8207781151713000 8754966561827200 10101884494416000 10943708202284000 11938590766128000 13132449842740800 16415562303426000 21887416404568000 26264899685481600 32831124606852000 43774832809136000 65662249213704000 131324498427408000
- Sum of all divisors σ(n): 516770036868421440
- Sum of proper divisors (its aliquot sum) s(n): 385445538441013440
- 131324498427408000 is an abundant number, because the sum of its proper divisors (385445538441013440) is greater than itself. Its abundance is 254121040013605440
Bases of 131324498427408000
- Binary: 1110100101000111011101111011111110001001001101110100000002
- Hexadecimal: 0x1D28EEF7F126E80
- Base-36: ZX2NDPTLXMO
Squares and roots of 131324498427408000
- 131324498427408000 squared (1313244984274080002) is 17246123887210286265045598464000000
- 131324498427408000 cubed (1313244984274080003) is 2264838569304830782578182197364980220301312000000000
-
The
square root of 131324498427408000 is 362387221.6668352671 -
The
cube root of 131324498427408000 is 508294.3125132461
Scales and comparisons
How big is 131324498427408000?- 131,324,498,427,408,000 seconds is equal to 4,175,712,836 years, 33 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 131,324,498,427,408,000 would take you about twelve billion, five hundred twenty-seven million, one hundred thirty-eight thousand, five hundred 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 131324498427408000 cubic inches would be around 42357.9 feet tall.
Recreational maths with 131324498427408000
- 131324498427408000 backwards is 000804724894423131
- 131324498427408000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131324498427408000's digits is 60
- More coming soon!
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"Number 131324498427408000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 131324498427408000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/131324498427408000/
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The information we have on file for 131324498427408000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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