420249468824064

Names of 420249468824064

• Cardinal: 420249468824064 can be written as Four hundred twenty trillion, two hundred forty-nine billion, four hundred sixty-eight million, eight hundred twenty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 4.20249468824064 × 10¹⁴

Factors of 420249468824064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 647

Divisors of 420249468824064

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 128 132 144 176 192 198 216 242 256 264 288 297 352 363 384 396 432 484 512 528 576 594 631 704 726 768 792 864 968 1056 1089 1152 1188 1262 1408 1452 1536 1584 1728 1893 1936 2112 2178 2304 2376 2524 2816 2904 3168 3267 3456 3786 3872 4224 4356 4608 4752 5048 5632 5679 5808 6336 6534 6912 6941 7572 7744 8448 8712 9504 10096 11358 11616 12672 13068 13824 13882 15144 15488 16896 17037 17424 19008 20192 20823 22716 23232 25344 26136 27764 30288 30976 34074 34848 38016 40384 41646 45432 46464 50688 52272 55528 60576 61952 62469 68148 69696 76032 76351 80768 83292 90864 92928 104544 111056 121152 124938 136296 139392 152064 152702 161536 166584 181728 185856 187407 209088 222112 229053 242304 249876 272592 278784 305404 323072 333168 363456 374814 398161 418176 444224 458106 484608 499752 545184 557568 610808 666336 687159 726912 749628 796322 836352 888448 916212 969216 999504 1090368 1194483 1221616 1332672 1374318 1453824 1499256 1592644 1672704 1776896 1832424 1999008 2061477 2180736 2388966 2443232 2665344 2748636 2907648 2998512 3185288 3553792 3583449 3664848 3998016 4122954 4361472 4379771 4777932 4886464 5330688 5497272 5997024 6370576 7166898 7329696 7996032 8245908 8722944 8759542 9555864 9772928 10661376 10750347 10994544 11994048 12741152 13139313 14333796 14659392 15992064 16491816 17519084 19111728 19545856 21500694 21989088 23988096 25482304 26278626 28667592 29318784 31984128 32983632 35038168 38223456 39091712 39417939 43001388 43978176 47976192 48177481 50964608 52557252 57335184 58637568 65967264 70076336 76446912 78835878 86002776 87956352 95952384 96354962 101929216 105114504 114670368 117275136 118253817 131934528 140152672 144532443 152893824 157671756 172005552 175912704 192709924 203858432 210229008 229340736 236507634 251239591 263869056 280305344 289064886 305787648 315343512 344011104 351825408 385419848 420458016 433597329 458681472 473015268 502479182 527738112 560610688 578129772 611575296 630687024 688022208 753718773 770839696 840916032 867194658 917362944 946030536 1004958364 1055476224 1121221376 1156259544 1261374048 1300791987 1376044416 1507437546 1541679392 1681832064 1734389316 1834725888 1892061072 2009916728 2242442752 2261156319 2312519088 2522748096 2601583974 2752088832 2763635501 3014875092 3083358784 3363664128 3468778632 3784122144 4019833456 4522312638 4625038176 5045496192 5203167948 5504177664 5527271002 6029750184 6166717568 6727328256 6783468957 6937557264 7568244288 8039666912 8290906503 9044625276 9250076352 10090992384 10406335896 11054542004 12059500368 12333435136 13566937914 13875114528 15136488576 16079333824 16581813006 18089250552 18500152704 20181984768 20812671792 22109084008 24119000736 24666870272 24872719509 27133875828 27750229056 30272977152 30399990511 32158667648 33163626012 36178501104 37000305408 41625343584 44218168016 48238001472 49745439018 54267751656 55500458112 60545954304 60799981022 64317335296 66327252024 72357002208 74000610816 74618158527 83250687168 88436336032 91199971533 96476002944 99490878036 108535503312 111000916224 121599962044 128634670592 132654504048 144714004416 149236317054 166501374336 176872672064 182399943066 192952005888 198981756072 217071006624 222001832448 243199924088 265309008096 273599914599 289428008832 298472634108 333002748672 353745344128 364799886132 385904011776 397963512144 434142013248 486399848176 530618016192 547199829198 578856017664 596945268216 666005497344 707490688256 729599772264 795927024288 820799743797 868284026496 972799696352 1061236032384 1094399658396 1157712035328 1193890536432 1414981376512 1459199544528 1591854048576 1641599487594 1736568052992 1945599392704 2122472064768 2188799316792 2387781072864 2918399089056 3183708097152 3283198975188 3473136105984 3891198785408 4244944129536 4377598633584 4775562145728 5836798178112 6367416194304 6566397950376 7782397570816 8755197267168 9551124291456 11673596356224 12734832388608 13132795900752 15564795141632 17510394534336 19102248582912 23347192712448 26265591801504 35020789068672 38204497165824 46694385424896 52531183603008 70041578137344 105062367206016 140083156274688 210124734412032 420249468824064
• Sum of all divisors σ(n): 1369506675546240
• Sum of proper divisors (its aliquot sum) s(n): 949257206722176
• 420249468824064 is an abundant number, because the sum of its proper divisors (949257206722176) is greater than itself. Its abundance is 529007737898112

Bases of 420249468824064

• Binary: 1011111100011011011110100010011100110101000000000₂
• Hexadecimal: 0x17E36F44E6A00
• Base-36: 44YRXV7UO0

Squares and roots of 420249468824064

• 420249468824064 squared (420249468824064²) is 176609616046907939874985476096
• 420249468824064 cubed (420249468824064³) is 74220097332934951415517777402210748301574144
• The square root of 420249468824064 is 20499987.0444852721
• The cube root of 420249468824064 is 74903.5482405583

Scales and comparisons

• 420,249,468,824,064 seconds is equal to 13,362,633 years, 9 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 420,249,468,824,064 would take you about thirty-three million, four hundred six thousand, five hundred eighty-two 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 420249468824064 cubic inches would be around 6242 feet tall.

Recreational maths with 420249468824064

• 420249468824064 backwards is 460428864942024
• The number of decimal digits it has is: 15
• The sum of 420249468824064's digits is 63
• More coming soon!