46338361909986816

Names of 46338361909986816

• Cardinal: 46338361909986816 can be written as Forty-six quadrillion, three hundred thirty-eight trillion, three hundred sixty-one billion, nine hundred nine million, nine hundred eighty-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.6338361909986816 × 10¹⁶

Factors of 46338361909986816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3711

Divisors of 46338361909986816

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 587 768 864 1152 1174 1536 1728 1761 2304 2348 3119 3456 3522 4608 4696 5283 6238 6912 7044 9357 9392 10566 12476 13824 14088 15849 18714 18784 21132 24952 28071 28176 31698 37428 37568 42264 49904 56142 56352 63396 74856 75136 84213 84528 99808 112284 112704 126792 149712 150272 168426 169056 199616 224568 225408 253584 299424 300544 336852 338112 344569 399232 449136 450816 507168 598848 673704 676224 689138 798464 898272 901632 1014336 1033707 1197696 1347408 1352448 1378276 1596928 1796544 1830853 2028672 2067414 2395392 2694816 2704896 2756552 3101121 3593088 3661706 4057344 4134828 4790784 5389632 5492559 5513104 6202242 7186176 7323412 8114688 8269656 9303363 9728161 10779264 10985118 11026208 12404484 14372352 14646824 16477677 16539312 18606726 19456322 21558528 21970236 22052416 24808968 29184483 29293648 32955354 33078624 37213452 38912644 43117056 43940472 44104832 49433031 49617936 58368966 58587296 65910708 66157248 74426904 77825288 87553449 87880944 88209664 98866062 99235872 116737932 117174592 131821416 132314496 148853808 155650576 175106898 175761888 176419328 197732124 198471744 233475864 234349184 262660347 263642832 264628992 297707616 311301152 350213796 351523776 395464248 396943488 466951728 468698368 525320694 527285664 529257984 595415232 622602304 700427592 703047552 790928496 793886976 933903456 937396736 1050641388 1054571328 1074710711 1190830464 1245204608 1400855184 1406095104 1581856992 1587773952 1867806912 2101282776 2109142656 2149421422 2381660928 2490409216 2801710368 2812190208 3163713984 3224132133 3735613824 4202565552 4218285312 4298842844 4763321856 4980818432 5603420736 5710430507 6327427968 6448264266 7471227648 8405131104 8436570624 8597685688 9672396399 11206841472 11420861014 12654855936 12896528532 14942455296 16810262208 17131291521 17195371376 19344792798 22413682944 22841722028 25309711872 25793057064 29017189197 33620524416 34262583042 34390742752 38689585596 44827365888 45683444056 51393874563 51586114128 58034378394 67241048832 68525166084 68781485504 77379171192 91366888112 102787749126 103172228256 116068756788 134482097664 137050332168 137562971008 154181623689 154758342384 182733776224 205575498252 206344456512 232137513576 274100664336 275125942016 308363247378 309516684768 365467552448 411150996504 412688913024 464275027152 548201328672 550251884032 616726494756 619033369536 730935104896 822301993008 825377826048 928550054304 1096402657344 1233452989512 1238066739072 1461870209792 1644603986016 1650755652096 1857100108608 2192805314688 2466905979024 2476133478144 2923740419584 3289207972032 3352022707609 3714200217216 4385610629376 4933811958048 4952266956288 6578415944064 6704045415218 7428400434432 8771221258752 9867623916096 10056068122827 13156831888128 13408090830436 14856800868864 19735247832192 20112136245654 26313663776256 26816181660872 30168204368481 39470495664384 40224272491308 53632363321744 60336408736962 78940991328768 80448544982616 90504613105443 107264726643488 120672817473924 160897089965232 181009226210886 214529453286976 241345634947848 321794179930464 362018452421772 429058906573952 482691269895696 643588359860928 724036904843544 858117813147904 965382539791392 1287176719721856 1448073809687088 1716235626295808 1930765079582784 2574353439443712 2896147619374176 3861530159165568 5148706878887424 5792295238748352 7723060318331136 11584590477496704 15446120636662272 23169180954993408 46338361909986816
• Sum of all divisors σ(n): 137442904420307640
• Sum of proper divisors (its aliquot sum) s(n): 91104542510320824
• 46338361909986816 is an abundant number, because the sum of its proper divisors (91104542510320824) is greater than itself. Its abundance is 44766180600334008

Bases of 46338361909986816

• Binary: 10100100101000000111111010100001000111100100011000000000₂
• Hexadecimal: 0xA4A07EA11E4600
• Base-36: CO9KTL05MO0

Squares and roots of 46338361909986816

• 46338361909986816 squared (46338361909986816²) is 2147243784500916998173157293817856
• 46338361909986816 cubed (46338361909986816³) is 99499759595173231326163711438584102042503265386496
• The square root of 46338361909986816 is 215263470.9141028787
• The cube root of 46338361909986816 is 359181.1685578081

Scales and comparisons

• 46,338,361,909,986,816 seconds is equal to 1,473,416,574 years, 40 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 46,338,361,909,986,816 would take you about four billion, four hundred twenty million, two hundred forty-nine thousand, seven hundred twenty-four 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 46338361909986816 cubic inches would be around 29931.8 feet tall.

Recreational maths with 46338361909986816

• 46338361909986816 backwards is 61868990916383364
• The number of decimal digits it has is: 17
• The sum of 46338361909986816's digits is 90
• More coming soon!