46509121685254144

Names of 46509121685254144

• Cardinal: 46509121685254144 can be written as Forty-six quadrillion, five hundred nine trillion, one hundred twenty-one billion, six hundred eighty-five million, two hundred fifty-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.6509121685254144 × 10¹⁶

Factors of 46509121685254144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2829

Divisors of 46509121685254144

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 896 961 992 1024 1519 1568 1736 1792 1922 1984 2048 2789 3038 3136 3472 3584 3844 3968 4096 5578 6076 6272 6727 6944 7168 7688 7936 11156 12152 12544 13454 13888 14336 15376 15872 19523 22312 24304 25088 26908 27776 28672 29791 30752 31744 39046 44624 47089 48608 50176 53816 55552 59582 61504 63488 78092 86459 89248 94178 97216 100352 107632 111104 119164 123008 126976 136661 156184 172918 178496 188356 194432 200704 208537 215264 222208 238328 246016 273322 312368 345836 356992 376712 388864 417074 430528 444416 476656 492032 546644 605213 624736 691672 713984 753424 777728 834148 861056 888832 953312 984064 1093288 1210426 1249472 1383344 1427968 1459759 1506848 1555456 1668296 1722112 1906624 1968128 2186576 2420852 2498944 2680229 2766688 2855936 2919518 3013696 3110912 3336592 3444224 3813248 3936256 4236491 4373152 4841704 4997888 5360458 5533376 5711872 5839036 6027392 6221824 6673184 6888448 7626496 7778521 8472982 8746304 9683408 9995776 10720916 11066752 11423744 11678072 12054784 13346368 13776896 15252992 15557042 16945964 17492608 18761603 19366816 19991552 21441832 22133504 23356144 24109568 26692736 27553792 30505984 31114084 33891928 34985216 37523206 38733632 39983104 42883664 44267008 46712288 48219136 53385472 54449647 61011968 62228168 67783856 69970432 75046412 77467264 79966208 83087099 85767328 88534016 93424576 96438272 106770944 108899294 122023936 124456336 131331221 135567712 139940864 150092824 154934528 166174198 171534656 177068032 186849152 192876544 213541888 217798588 241134151 248912672 262662442 271135424 279881728 300185648 309869056 332348396 343069312 354136064 373698304 381147529 427083776 435597176 482268302 497825344 525324884 542270848 559763456 581609693 600371296 619738112 664696792 686138624 747396608 762295058 854167552 871194352 964536604 995650688 1050649768 1084541696 1163219386 1200742592 1239476224 1329393584 1372277248 1494793216 1524590116 1687939057 1742388704 1929073208 1991301376 2101299536 2169083392 2326438772 2401485184 2478952448 2658787168 2744554496 2989586432 3049180232 3375878114 3484777408 3858146416 3982602752 4071267851 4202599072 4338166784 4652877544 4802970368 5317574336 5489108992 5979172864 6098360464 6751756228 6969554816 7475158681 7716292832 7965205504 8142535702 8405198144 8676333568 9305755088 9605940736 10635148672 10978217984 11815573399 12196720928 13503512456 13939109632 14950317362 15432585664 15930411008 16285071404 16810396288 17352667136 18611510176 19211881472 21270297344 23631146798 24393441856 27007024912 27878219264 29900634724 30865171328 31860822016 32570142808 33620792576 37223020352 38423762944 42540594688 47262293596 48786883712 52326110767 54014049824 55756438528 59801269448 61730342656 65140285616 67241585152 74446040704 76847525888 85081189376 94524587192 97573767424 104652221534 108028099648 111512877056 119602538896 123460685312 130280571232 134483170304 148892081408 170162378752 189049174384 195147534848 209304443068 216056199296 223025754112 231729919111 239205077792 246921370624 260561142464 268966340608 297784162816 340324757504 366282775369 378098348768 390295069696 418608886136 432112398592 463459838222 478410155584 493842741248 521122284928 537932681216 595568325632 732565550738 756196697536 780590139392 837217772272 864224797184 926919676444 956820311168 987685482496 1042244569856 1191136651264 1465131101476 1512393395072 1561180278784 1622109433777 1674435544544 1728449594368 1853839352888 1913640622336 2084489139712 2382273302528 2930262202952 3024786790144 3244218867554 3348871089088 3456899188736 3707678705776 3827281244672 4168978279424 5860524405904 6049573580288 6488437735108 6697742178176 6913798377472 7415357411552 7654562489344 8337956558848 11354766036439 11721048811808 12099147160576 12976875470216 13395484356352 14830714823104 15309124978688 16675913117696 22709532072878 23442097623616 24198294321152 25953750940432 26790968712704 29661429646208 30618249957376 45419064145756 46884195247232 48396588642304 51907501880864 53581937425408 59322859292416 90838128291512 93768390494464 103815003761728 107163874850816 118645718584832 181676256583024 187536780988928 207630007523456 214327749701632 237291437169664 363352513166048 375073561977856 415260015046912 474582874339328 726705026332096 750147123955712 830520030093824 949165748678656 1453410052664192 1500294247911424 1661040060187648 2906820105328384 3322080120375296 5813640210656768 6644160240750592 11627280421313536 23254560842627072 46509121685254144
• Sum of all divisors σ(n): 111838054937613888
• Sum of proper divisors (its aliquot sum) s(n): 65328933252359744
• 46509121685254144 is an abundant number, because the sum of its proper divisors (65328933252359744) is greater than itself. Its abundance is 18819811567105600

Bases of 46509121685254144

• Binary: 10100101001110111100110010111100110111010111000000000000₂
• Hexadecimal: 0xA53BCCBCDD7000
• Base-36: CPY3VJHGP34

Squares and roots of 46509121685254144

• 46509121685254144 squared (46509121685254144²) is 2163098399933777267668089869172736
• 46509121685254144 cubed (46509121685254144³) is 100603806699698581363414777806784747940091195817984
• The square root of 46509121685254144 is 215659735.8925725475
• The cube root of 46509121685254144 is 359621.8294375649

Scales and comparisons

• 46,509,121,685,254,144 seconds is equal to 1,478,846,207 years, 22 weeks, 3 days, 6 hours, 9 minutes, 4 seconds.
• To count from 1 to 46,509,121,685,254,144 would take you about four billion, four hundred thirty-six million, five hundred thirty-eight thousand, six hundred twenty-two 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 46509121685254144 cubic inches would be around 29968.5 feet tall.

Recreational maths with 46509121685254144

• 46509121685254144 backwards is 44145258612190564
• The number of decimal digits it has is: 17
• The sum of 46509121685254144's digits is 67
• More coming soon!