420441361005952

Names of 420441361005952

• Cardinal: 420441361005952 can be written as Four hundred twenty trillion, four hundred forty-one billion, three hundred sixty-one million, five thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 4.20441361005952 × 10¹⁴

Factors of 420441361005952

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4978

Divisors of 420441361005952

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 257 272 286 352 374 416 442 514 544 572 704 748 832 884 1028 1088 1144 1408 1496 1664 1768 1877 2056 2176 2288 2431 2801 2827 2992 3341 3536 3754 4112 4369 4576 4862 5602 5654 5984 6682 7072 7508 8224 8738 9152 9724 11204 11308 11968 13364 14144 15016 16448 17476 18304 19448 20647 22408 22616 23936 24401 26728 28288 30032 30811 31909 32896 34952 36413 36751 38896 41294 44816 45232 47617 48059 48802 53456 56797 60064 61622 63818 69904 72826 73502 77792 82588 89632 90464 95234 96118 97604 106912 113594 120128 123244 127636 139808 145652 147004 155584 165176 179264 180928 190468 192236 195208 213824 227188 240256 246488 255272 268411 279616 291304 294008 311168 330352 350999 358528 361856 380936 384472 390416 400543 414817 427648 454376 482389 492976 510544 523787 536822 559232 582608 588016 619021 624767 660704 701998 719857 761872 768944 780832 801086 829634 908752 964778 985952 1021088 1047574 1073644 1165216 1176032 1238042 1249534 1321408 1403996 1439714 1523744 1537888 1561664 1602172 1659268 1817504 1929556 1971904 2042176 2095148 2147288 2330432 2352064 2476084 2499068 2642816 2807992 2879428 3047488 3075776 3123328 3204344 3318536 3635008 3859112 3943808 4084352 4190296 4294576 4562987 4660864 4704128 4952168 4998136 5257477 5306279 5615984 5758856 6094976 6151552 6271057 6408688 6637072 6809231 7270016 7718224 7918427 8200613 8380592 8589152 9125974 9358141 9904336 9996272 10514954 10612558 11231968 11517712 12237569 12542114 12817376 13274144 13618462 15436448 15836854 16401226 16761184 17178304 18251948 18716282 19808672 19992544 21029908 21225116 22463936 23035424 24475138 25084228 25634752 26548288 27236924 30872896 31673708 32802452 33522368 34356608 36503896 37432564 39617344 39985088 42059816 42450232 44927872 46070848 48950276 50168456 51269504 53096576 54473848 57832247 61745792 63347416 65604904 67044736 68347201 68981627 73007792 74865128 79234688 79970176 84119632 84900464 89377109 90206743 92141696 97900552 100336912 102939551 106607969 108947696 115664494 126694832 131209808 134613259 136694402 137963254 146015584 149730256 159088397 168239264 169800928 178754218 180413486 195801104 200673824 205879102 213215938 217895392 231328988 253389664 262419616 269226518 273388804 275926508 292031168 299460512 318176794 336478528 339601856 357508436 360826972 391602208 401347648 411758204 426431876 435790784 462657976 506779328 524839232 538453036 546777608 551853016 584062336 598921024 636353588 672957056 679203712 715016872 721653944 751819211 783204416 802695296 823516408 852863752 871581568 925315952 983148199 1013558656 1049678464 1076906072 1093555216 1103706032 1161902417 1172687659 1197842048 1272707176 1351171589 1430033744 1443307888 1503638422 1566408832 1647032816 1705727504 1749972367 1850631904 1966296398 2153812144 2187110432 2207412064 2323804834 2345375318 2545414352 2702343178 2860067488 2886615776 3007276844 3294065632 3411455008 3499944734 3701263808 3932592796 4307624288 4374220864 4414824128 4647609668 4690750636 5090828704 5404686356 5720134976 5773231552 6014553688 6588131264 6822910016 6999889468 7402527616 7865185592 8615248576 8748441728 8829648256 9295219336 9381501272 10181657408 10809372712 11440269952 11546463104 12029107376 12780926587 13176262528 13645820032 13999778936 14862887479 15730371184 17230497152 17565230657 18590438672 18763002544 20363314816 21618745424 22969917013 24058214752 25561853174 27999557872 29725774958 31460742368 35130461314 37180877344 37526005088 43237490848 45939834026 48116429504 51123706348 55999115744 59451549916 62921484736 70260922628 74361754688 75052010176 86474981696 91879668052 96232859008 102247412696 111998231488 118903099832 125842969472 140521845256 148723509376 150104020352 172949963392 183759336104 193217537227 204494825392 223996462976 237806199664 252669087143 281043690512 298608921169 367518672208 386435074454 408989650784 475612399328 505338174286 562087381024 597217842338 735037344416 772870148908 817979301568 951224798656 1010676348572 1124174762048 1194435684676 1470074688832 1545740297816 1635958603136 1902449597312 2021352697144 2248349524096 2388871369352 2940149377664 3091480595632 3284698132859 4042705394288 4777742738704 6182961191264 6569396265718 8085410788576 9555485477408 12365922382528 13138792531436 16170821577152 19110970954816 24731844765056 26277585062872 32341643154304 38221941909632 52555170125744 105110340251488 210220680502976 420441361005952
• Sum of all divisors σ(n): 1046900463557760
• Sum of proper divisors (its aliquot sum) s(n): 626459102551808
• 420441361005952 is an abundant number, because the sum of its proper divisors (626459102551808) is greater than itself. Its abundance is 206017741545856

Bases of 420441361005952

• Binary: 1011111100110001110100001111110001011110110000000₂
• Hexadecimal: 0x17E63A1F8BD80
• Base-36: 45183EV9TS

Squares and roots of 420441361005952

• 420441361005952 squared (420441361005952²) is 176770938044537254961379426304
• 420441361005952 cubed (420441361005952³) is 74321813777744062714407454174183090089361408
• The square root of 420441361005952 is 20504666.8104105511
• The cube root of 420441361005952 is 74914.9471985743

Scales and comparisons

• 420,441,361,005,952 seconds is equal to 13,368,734 years, 40 weeks, 2 hours, 5 minutes, 52 seconds.
• To count from 1 to 420,441,361,005,952 would take you about thirty-three million, four hundred twenty-one thousand, eight hundred thirty-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 420441361005952 cubic inches would be around 6242.9 feet tall.

Recreational maths with 420441361005952

• 420441361005952 backwards is 259500163144024
• The number of decimal digits it has is: 15
• The sum of 420441361005952's digits is 46
• More coming soon!