221138842859996832

Names of 221138842859996832

• Cardinal: 221138842859996832 can be written as Two hundred twenty-one quadrillion, one hundred thirty-eight trillion, eight hundred forty-two billion, eight hundred fifty-nine million, nine hundred ninety-six thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 2.21138842859996832 × 10¹⁷

Factors of 221138842859996832

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 335

Divisors of 221138842859996832

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 283 288 324 376 423 432 564 566 648 752 846 849 864 1128 1132 1269 1296 1504 1692 1698 2256 2264 2538 2547 2592 3384 3396 3807 4512 4528 5076 5094 6768 6792 7614 7641 9056 10152 10188 13301 13536 13584 15228 15282 20304 20376 22923 26602 27168 30456 30564 39903 40608 40752 45846 53204 60912 61128 79806 80089 81504 91692 106408 119709 121824 122256 159612 160178 183384 212816 239418 240267 244512 319224 320356 359127 366768 425632 478836 480534 638448 640712 718254 720801 733536 957672 961068 1077381 1276896 1281424 1436508 1441602 1915344 1922136 2154762 2162403 2562848 2873016 2883204 3764183 3830688 3844272 4309524 4324806 5746032 5766408 6487209 7528366 7688544 8619048 8649612 11292549 11492064 11532816 12974418 15056732 17238096 17299224 22585098 22665187 23065632 25948836 30113464 33877647 34476192 34598448 45170196 45330374 51897672 60226928 67755294 67995561 69196896 90340392 90660748 101632941 103795344 120453856 135510588 135991122 180680784 181321496 203265882 203986683 207590688 271021176 271982244 304898823 361361568 362642992 406531764 407973366 542042352 543964488 609797646 611960049 725285984 813063528 815946732 1065263789 1084084704 1087928976 1219595292 1223920098 1626127056 1631893464 1835880147 2130527578 2175857952 2439190584 2447840196 3195791367 3252254112 3263786928 3671760294 4261055156 4878381168 4895680392 6391582734 6414247921 6527573856 7343520588 8522110312 9587374101 9756762336 9791360784 12783165468 12828495842 14687041176 17044220624 19174748202 19242743763 19582721568 25566330936 25656991684 28762122303 29374082352 34088441248 38349496404 38485487526 51132661872 51313983368 57524244606 57728231289 58748164704 76698992808 76970975052 86286366909 102265323744 102627966736 115048489212 115456462578 153397985616 153941950104 172572733818 173184693867 205255933472 230096978424 230912925156 301469652287 306795971232 307883900208 345145467636 346369387734 460193956848 461825850312 519554081601 602939304574 615767800416 690290935272 692738775468 904408956861 920387913696 923651700624 1039108163202 1205878609148 1380581870544 1385477550936 1808817913722 1815232161643 1847303401248 2078216326404 2411757218296 2713226870583 2761163741088 2770955101872 3617635827444 3630464323286 4156432652808 4823514436592 5426453741166 5445696484929 5541910203744 7235271654888 7260928646572 8139680611749 8312865305616 9647028873184 10852907482332 10891392969858 14470543309776 14521857293144 16279361223498 16337089454787 16625730611232 21705814964664 21782785939716 24419041835247 28941086619552 29043714586288 32558722446996 32674178909574 43411629929328 43565571879432 48838083670494 49011268364361 58087429172576 65117444893992 65348357819148 85315911597221 86823259858656 87131143758864 97676167340988 98022536728722 130234889787984 130696715638296 147033805093083 170631823194442 174262287517728 195352334681976 196045073457444 255947734791663 260469779575968 261393431276592 294067610186166 341263646388884 390704669363952 392090146914888 511895469583326 522786862553184 588135220372332 682527292777768 767843204374989 781409338727904 784180293829776 1023790939166652 1176270440744664 1365054585555536 1535686408749978 1568360587659552 2047581878333304 2303529613124967 2352540881489328 2730109171111072 3071372817499956 4095163756666608 4607059226249934 4705081762978656 6142745634999912 6910588839374901 8190327513333216 9214118452499868 12285491269999824 13821177678749802 18428236904999736 24570982539999648 27642355357499604 36856473809999472 55284710714999208 73712947619998944 110569421429998416 221138842859996832
• Sum of all divisors σ(n): 666556030536492096
• Sum of proper divisors (its aliquot sum) s(n): 445417187676495264
• 221138842859996832 is an abundant number, because the sum of its proper divisors (445417187676495264) is greater than itself. Its abundance is 224278344816498432

Bases of 221138842859996832

• Binary: 1100010001101001001001101100011110101101100000011010100000₂
• Hexadecimal: 0x311A49B1EB606A0
• Base-36: 1OHF6DY34A00

Squares and roots of 221138842859996832

• 221138842859996832 squared (221138842859996832²) is 48902387821458371843891639050036224
• 221138842859996832 cubed (221138842859996832³) is 10814217455928105704453183238631798767731250125242368
• The square root of 221138842859996832 is 470254019.5043491939
• The cube root of 221138842859996832 is 604720.9448757859

Scales and comparisons

• 221,138,842,859,996,832 seconds is equal to 7,031,531,175 years, 30 weeks, 6 days, 15 hours, 7 minutes, 12 seconds.
• To count from 1 to 221,138,842,859,996,832 would take you about twenty-one billion, ninety-four million, five hundred ninety-three thousand, five hundred twenty-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 221138842859996832 cubic inches would be around 50393.4 feet tall.

Recreational maths with 221138842859996832

• 221138842859996832 backwards is 238699958248831122
• The number of decimal digits it has is: 18
• The sum of 221138842859996832's digits is 90
• More coming soon!