4004993479128642

Names of 4004993479128642

• Cardinal: 4004993479128642 can be written as Four quadrillion, four trillion, nine hundred ninety-three billion, four hundred seventy-nine million, one hundred twenty-eight thousand, six hundred forty-two.

Scientific notation

• Scientific notation: 4.004993479128642 × 10¹⁵

Factors of 4004993479128642

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1772

Divisors of 4004993479128642

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 337 429 462 546 674 693 819 858 1001 1011 1287 1386 1399 1638 2002 2022 2359 2574 2798 3003 3033 3707 4197 4381 4718 6006 6066 7077 7414 8394 8762 9009 9793 11121 12591 13143 14154 15389 18018 18187 19586 21231 22242 25182 25949 26286 29379 30667 30778 33363 36374 39429 42462 46167 48191 51898 54561 58758 61334 66726 77847 78858 88137 92001 92334 96382 107723 109122 113569 127309 138501 144573 155694 163683 176274 184002 200057 215446 227138 233541 254618 276003 277002 289146 323169 327366 337337 340707 381927 400114 433719 467082 471463 552006 600171 646338 674674 681414 763854 794983 867438 942926 969507 1012011 1022121 1145781 1200342 1249259 1400399 1414389 1476397 1589966 1800513 1939014 1957201 2024022 2044242 2291562 2384949 2498518 2800798 2828778 2952794 3036033 3300241 3601026 3747777 3914402 4201197 4243167 4429191 4769898 5186093 5871603 6072066 6129019 6600482 7154847 7495554 8402394 8486334 8744813 8858382 9900723 10334779 10372186 11243331 11743206 12258038 12603591 13287573 13700407 14309694 15558279 16240367 17489626 17614809 18387057 19801446 20669558 21529211 22486662 25207182 25443613 26234439 26575146 27400814 29702169 31004337 31116558 32480734 35229618 36302651 36774114 41101221 42903133 43058422 46674837 48721101 50887226 52468878 55161171 59404338 62008674 64587633 67419209 72605302 76330839 78703317 82202442 85806266 93013011 93349674 97442202 108907953 110322342 113682569 123303663 128709399 129175266 134838418 146163303 150704477 152661678 157406634 158883031 178105291 186026022 193762899 202257627 217815906 227365138 228992517 246607326 257418798 279879743 292326606 301408954 317766062 326723859 341047707 356210582 386128197 387525798 404515254 452113431 457985034 471934463 476649093 534315873 559759486 606772881 653447718 659576737 682095414 772256394 839639229 904226862 943868926 953298186 1023143121 1068631746 1112181217 1213545762 1319153474 1356340293 1415803389 1429947279 1602947619 1679278458 1747713341 1959158201 1978730211 2046286242 2065479403 2224362434 2518917687 2712680586 2831606778 2859894558 3205895238 3336543651 3495426682 3918316402 3957460422 4130958806 4247410167 4617037159 5037835374 5243140023 5877474603 5936190633 6196438209 6673087302 7255344107 8494820334 8574497581 9234074318 10009630953 10486280046 11754949206 11872381266 12233993387 12392876418 13851111477 14458355821 14510688214 15729420069 17148995162 17632423809 18589314627 20019261906 21766032321 22720273433 24467986774 25723492743 27702222954 28916711642 31458840138 35264847618 36701980161 37178629254 41553334431 43375067463 43532064642 45440546866 50787408749 51446985486 60021483067 65298096963 68160820299 73403960322 77170478229 83106668862 86750134926 94319473391 101574817498 110105940483 120042966134 130125202389 130596193926 136321640598 152362226247 154340956458 159041914031 180064449201 188638946782 204482460897 220211880966 222277360369 260250404778 282958420173 304724452494 318083828062 360128898402 408964921794 444554720738 457086678741 477125742093 540193347603 565916840346 660236313737 666832081107 848875260519 914173357482 954251484186 1080386695206 1320472627474 1333664162214 1431377226279 1555941522583 1697750521038 1980708941211 2000496243321 2445050964059 2862754452558 2889605684797 3111883045166 3961417882422 4000992486642 4667824567749 4890101928118 5779211369594 5942126823633 7335152892177 8668817054391 9335649135498 11884253647266 14003473703247 14670305784354 17115356748413 17337634108782 20227239793579 22005458676531 26006451163173 28006947406494 31785662532767 34230713496826 40454479587158 44010917353062 51346070245239 52012902326346 60681719380737 63571325065534 95356987598301 102692140490478 121363438761474 154038210735717 182045158142211 190713975196602 222499637729369 286070962794903 308076421471434 364090316284422 444999275458738 572141925589806 667498913188107 1334997826376214 2002496739564321 4004993479128642
• Sum of all divisors σ(n): 11693923853032512
• Sum of proper divisors (its aliquot sum) s(n): 7688930373903870
• 4004993479128642 is an abundant number, because the sum of its proper divisors (7688930373903870) is greater than itself. Its abundance is 3683936894775228

Bases of 4004993479128642

• Binary: 1110001110101000010100110101101001101011011001000010₂
• Hexadecimal: 0xE3A8535A6B642
• Base-36: 13FNGLRLT8I

Squares and roots of 4004993479128642

• 4004993479128642 squared (4004993479128642²) is 16039972767862944183267584764164
• 4004993479128642 cubed (4004993479128642³) is 64239986340692086396531082758180481525787585288
• The square root of 4004993479128642 is 63285017.8093412721
• The cube root of 4004993479128642 is 158806.1331788397

Scales and comparisons

• 4,004,993,479,128,642 seconds is equal to 127,346,404 years, 19 weeks, 4 days, 14 hours, 50 minutes, 42 seconds.
• To count from 1 to 4,004,993,479,128,642 would take you about three hundred eighty-two million, thirty-nine thousand, two hundred thirteen 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 4004993479128642 cubic inches would be around 13233.8 feet tall.

Recreational maths with 4004993479128642

• 4004993479128642 backwards is 2468219743994004
• The number of decimal digits it has is: 16
• The sum of 4004993479128642's digits is 72
• More coming soon!