213836824996992

Names of 213836824996992

• Cardinal: 213836824996992 can be written as Two hundred thirteen trillion, eight hundred thirty-six billion, eight hundred twenty-four million, nine hundred ninety-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 2.13836824996992 × 10¹⁴

Factors of 213836824996992

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 202

Divisors of 213836824996992

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 197 216 243 288 324 384 394 432 486 576 591 648 729 788 864 972 1152 1182 1296 1458 1576 1728 1773 1944 2187 2364 2592 2916 3152 3456 3546 3888 4374 4728 5184 5319 5832 6304 6561 7092 7776 8748 9456 10368 10638 11664 12608 13122 14184 15552 15957 17496 18912 19683 21276 23328 25216 26244 28368 31104 31914 34992 37824 38809 39366 42552 46656 47871 52488 56736 59049 63828 69984 75648 77618 78732 85104 93312 95742 104976 113472 116427 118098 127656 139968 143613 155236 157464 170208 177147 191484 209952 226944 232854 236196 255312 279936 287226 310472 314928 340416 349281 354294 382968 419904 430839 465708 472392 510624 531441 574452 620944 629856 680832 698562 708588 765936 839808 861678 931416 944784 1021248 1047843 1062882 1148904 1241888 1259712 1292517 1397124 1417176 1531872 1594323 1723356 1862832 1889568 2042496 2095686 2125764 2297808 2483776 2519424 2585034 2794248 2834352 3063744 3143529 3188646 3446712 3725664 3779136 3877551 4191372 4251528 4595616 4782969 4967552 5170068 5588496 5668704 6127488 6287058 6377292 6893424 7451328 7558272 7755102 8382744 8503056 9191232 9430587 9565938 10340136 11176992 11337408 11632653 12574116 12754584 13786848 14348907 14902656 15510204 16765488 17006112 18382464 18861174 19131876 20680272 22353984 22674816 23265306 25148232 25509168 27573696 28291761 28697814 31020408 33530976 34012224 34897959 37722348 38263752 41360544 43046721 44707968 46530612 50296464 51018336 55147392 56583522 57395628 62040816 67061952 68024448 69795918 75444696 76527504 82721088 84875283 86093442 93061224 100592928 102036672 104693877 113167044 114791256 124081632 134123904 139591836 150889392 153055008 165442176 169750566 172186884 186122448 201185856 204073344 209387754 226334088 229582512 248163264 254625849 279183672 301778784 306110016 314081631 339501132 344373768 372244896 402371712 418775508 452668176 459165024 496326528 509251698 558367344 603557568 612220032 628163262 679002264 688747536 744489792 763877547 837551016 905336352 918330048 942244893 1018503396 1116734688 1207115136 1256326524 1358004528 1377495072 1488979584 1527755094 1675102032 1810672704 1836660096 1884489786 2037006792 2233469376 2291632641 2512653048 2716009056 2754990144 2826734679 3055510188 3350204064 3621345408 3768979572 4074013584 4466938752 4583265282 5025306096 5432018112 5509980288 5653469358 6111020376 6700408128 6874897923 7537959144 8148027168 8480204037 9166530564 10050612192 10864036224 11306938716 12222040752 13400816256 13749795846 15075918288 16296054336 16960408074 18333061128 20101224384 20624693769 22613877432 24444081504 27499591692 30151836576 32592108672 33920816148 36666122256 40202448768 41249387538 45227754864 48888163008 54999183384 60303673152 61874081307 67841632296 73332244512 82498775076 90455509728 97776326016 109998366768 120607346304 123748162614 135683264592 146664489024 164997550152 180911019456 185622243921 219996733536 247496325228 271366529184 293328978048 329995100304 361822038912 371244487842 439993467072 494992650456 542733058368 556866731763 659990200608 742488975684 879986934144 989985300912 1085466116736 1113733463526 1319980401216 1484977951368 1670600195289 1979970601824 2227466927052 2639960802432 2969955902736 3341200390578 3959941203648 4454933854104 5939911805472 6682400781156 7919882407296 8909867708208 11879823610944 13364801562312 17819735416416 23759647221888 26729603124624 35639470832832 53459206249248 71278941665664 106918412498496 213836824996992
• Sum of all divisors σ(n): 642264713139585
• Sum of proper divisors (its aliquot sum) s(n): 428427888142593
• 213836824996992 is an abundant number, because the sum of its proper divisors (428427888142593) is greater than itself. Its abundance is 214591063145601

Bases of 213836824996992

• Binary: 110000100111101111000011111111100110110010000000₂
• Hexadecimal: 0xC27BC3FE6C80
• Base-36: 23SRA4I000

Squares and roots of 213836824996992

• 213836824996992 squared (213836824996992²) is 45726187724794182660809048064
• 213836824996992 cubed (213836824996992³) is 9777942802286417425981277867834443183423488
• The square root of 213836824996992 is 14623160.5679822855
• The cube root of 213836824996992 is 59799.0336451737

Scales and comparisons

• 213,836,824,996,992 seconds is equal to 6,799,349 years, 30 weeks, 6 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 213,836,824,996,992 would take you about sixteen million, nine hundred ninety-eight thousand, three hundred seventy-three 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 213836824996992 cubic inches would be around 4983.3 feet tall.

Recreational maths with 213836824996992

• 213836824996992 backwards is 299699428638312
• 213836824996992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 213836824996992's digits is 81
• More coming soon!