4007429419376768

Names of 4007429419376768

• Cardinal: 4007429419376768 can be written as Four quadrillion, seven trillion, four hundred twenty-nine billion, four hundred nineteen million, three hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.007429419376768 × 10¹⁵

Factors of 4007429419376768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1503

Divisors of 4007429419376768

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 308 343 352 392 448 484 539 616 686 704 784 847 896 968 1078 1232 1372 1408 1483 1568 1694 1936 2156 2401 2464 2744 2966 3136 3388 3773 3872 4312 4802 4928 5488 5929 5932 6272 6776 7546 7744 8624 9604 9856 10381 10976 11858 11864 13552 15092 15488 16313 16807 17248 19208 20762 21952 23716 23728 26411 27104 30184 32626 33614 34496 38416 41503 41524 43904 47432 47456 52822 54208 60368 65252 67228 68992 72667 76832 83006 83048 94864 94912 105644 108416 114191 117649 120736 130504 134456 145334 153664 166012 166096 179443 184877 189728 189824 211288 228382 235298 241472 261008 268912 290521 290668 307328 332024 332192 358886 369754 379456 422576 456764 470596 482944 508669 522016 537824 581042 581336 664048 664384 717772 739508 758912 799337 845152 913528 941192 1017338 1044032 1075648 1162084 1162672 1256101 1294139 1328096 1328768 1435544 1479016 1598674 1690304 1827056 1882384 2033647 2034676 2088064 2151296 2199289 2324168 2325344 2512202 2588278 2656192 2871088 2958032 3197348 3380608 3560683 3654112 3764768 4067294 4069352 4398578 4648336 4650688 5024404 5176556 5312384 5595359 5742176 5916064 6394696 7121366 7308224 7529536 8134588 8138704 8792707 8797156 9296672 9301376 10048808 10353112 11190718 11484352 11832128 12789392 14235529 14242732 14616448 15059072 15395023 16269176 16277408 17585414 17594312 18593344 20097616 20706224 22381436 22968704 23664256 24192179 24924781 25578784 28471058 28485464 30790046 32538352 32554816 35170828 35188624 37186688 39167513 40195232 41412448 44762872 48384358 49849562 51157568 56942116 56970928 61548949 61580092 65076704 65109632 70341656 70377248 78335026 80390464 82824896 89525744 96768716 99699124 102315136 107765161 113884232 113941856 123097898 123160184 130153408 140683312 140754496 156670052 160780928 165649792 169345253 174473467 179051488 193537432 199398248 215530322 227768464 227883712 246195796 246320368 260306816 266113969 274172591 281366624 281508992 313340104 338690506 348946934 358102976 387074864 398796496 430842643 431060644 455536928 455767424 492391592 492640736 532227938 548345182 562733248 626680208 677381012 697893868 716205952 754356127 774149728 797592992 861685286 862121288 911073856 984783184 985281472 1064455876 1096690364 1125466496 1185416771 1253360416 1354762024 1395787736 1508712254 1548299456 1595185984 1723370572 1724242576 1822147712 1862797783 1919208137 1969566368 1970562944 2128911752 2193380728 2370833542 2506720832 2709524048 2791575472 3015898501 3017424508 3096598912 3190371968 3446741144 3448485152 3725595566 3838416274 3939132736 4257823504 4386761456 4741667084 5013441664 5280492889 5419048096 5583150944 6031797002 6034849016 6893482288 6896970304 7451191132 7676832548 7878265472 8297917397 8515647008 8773522912 9483334168 10560985778 10838096192 11166301888 12063594004 12069698032 13039584481 13786964576 13793940608 14902382264 15353665096 16595834794 17031294016 17547045824 18966668336 21111289507 21121971556 21676192384 22332603776 24127188008 24139396064 26079168962 27573929152 29804764528 30707330192 33191669588 34062588032 35094091648 36963450223 37933336672 42222579014 42243943112 48254376016 48278792128 52158337924 55147858304 58085421779 59609529056 61414660384 66383339176 73926900446 75866673344 84445158028 84487886224 91277091367 96508752032 96557584256 104316675848 116170843558 119219058112 122829320768 132766678352 147853800892 151733346688 168890316056 168975772448 182554182734 193017504064 208633351696 232341687116 238438116224 245658641536 258744151561 265533356704 295707601784 337780632112 337951544896 365108365468 386035008128 406597952453 417266703392 464683374232 517488303122 531066713408 591415203568 638939639569 675561264224 675903089792 730216730936 813195904906 834533406784 929366748464 1034976606244 1062133426816 1182830407136 1277879279138 1351122528448 1460433461872 1626391809812 1669066813568 1858733496928 2069953212488 2365660814272 2555758558276 2702245056896 2846185667171 2920866923744 3252783619624 3717466993856 4139906424976 4472577476983 4731321628544 5111517116552 5692371334342 5841733847488 6505567239248 7434933987712 8279812849952 8945154953966 10223034233104 11384742668684 11683467694976 13011134478496 16559625699904 17890309907932 20446068466208 22769485337368 26022268956992 31308042338881 33119251399808 35780619815864 40892136932416 45538970674736 52044537913984 62616084677762 71561239631728 81784273864832 91077941349472 125232169355524 143122479263456 182155882698944 250464338711048 286244958526912 364311765397888 500928677422096 572489917053824 1001857354844192 2003714709688384 4007429419376768
• Sum of all divisors σ(n): 10244754911002815
• Sum of proper divisors (its aliquot sum) s(n): 6237325491626047
• 4007429419376768 is an abundant number, because the sum of its proper divisors (6237325491626047) is greater than itself. Its abundance is 2229896072249279

Bases of 4007429419376768

• Binary: 1110001111001011110001011111000000010010000010000000₂
• Hexadecimal: 0xE3CBC5F012080
• Base-36: 13GIJNRJA0W

Squares and roots of 4007429419376768

• 4007429419376768 squared (4007429419376768²) is 16059490551286419895817538125824
• 4007429419376768 cubed (4007429419376768³) is 64357274895428429521713199192888603420846456832
• The square root of 4007429419376768 is 63304260.6731708699
• The cube root of 4007429419376768 is 158838.3233143813

Scales and comparisons

• 4,007,429,419,376,768 seconds is equal to 127,423,859 years, 38 weeks, 4 days, 11 hours, 46 minutes, 8 seconds.
• To count from 1 to 4,007,429,419,376,768 would take you about three hundred eighty-two million, two hundred seventy-one thousand, five hundred seventy-nine 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 4007429419376768 cubic inches would be around 13236.5 feet tall.

Recreational maths with 4007429419376768

• 4007429419376768 backwards is 8676739149247004
• 4007429419376768 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4007429419376768's digits is 77
• More coming soon!