420693221664

Names of 420693221664

• Cardinal: 420693221664 can be written as Four hundred twenty billion, six hundred ninety-three million, two hundred twenty-one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.20693221664 × 10¹¹

Factors of 420693221664

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4419

Divisors of 420693221664

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 48 54 58 72 74 87 96 107 108 111 116 144 148 174 214 216 222 232 261 288 296 321 333 348 428 432 444 464 522 592 642 666 696 783 856 864 888 928 963 999 1044 1073 1184 1284 1332 1392 1566 1712 1776 1926 1998 2088 2146 2568 2664 2784 2889 3103 3132 3219 3424 3552 3852 3959 3996 4176 4241 4292 5136 5328 5778 6206 6264 6438 7704 7918 7992 8352 8482 8584 9309 9657 10272 10656 11556 11877 12412 12528 12723 12876 15408 15836 15984 16964 17168 18618 19314 23112 23754 24824 25056 25446 25752 27927 28971 30816 31672 31968 33928 34336 35631 37236 38169 38628 46224 47508 49648 50892 51504 55854 57942 63344 67856 71262 74472 76338 77256 83781 92448 95016 99296 101784 103008 106893 111708 114507 114811 115884 122989 126688 135712 142524 148944 152676 154512 156917 167562 190032 203568 213786 223416 229014 229622 231768 245978 285048 297888 305352 309024 313834 335124 344433 368967 380064 407136 427572 446832 453787 458028 459244 463536 470751 491956 570096 610704 627668 670248 688866 737934 855144 893664 907574 916056 918488 927072 941502 983912 1033299 1106901 1140192 1221408 1255336 1340496 1361361 1377732 1412253 1475868 1710288 1815148 1832112 1836976 1883004 1967824 2066598 2213802 2510672 2680992 2722722 2755464 2824506 2951736 3099897 3320703 3420576 3630296 3664224 3673952 3766008 3935648 4084083 4133196 4236759 4427604 4550593 5021344 5445444 5510928 5649012 5903472 6199794 6641406 7260592 7532016 8168166 8266392 8473518 8855208 9101186 10890888 11021856 11298024 11806944 12252249 12399588 13159823 13282812 13651779 14521184 15064032 16336332 16532784 16790119 16947036 17710416 18202372 21781776 22596048 24504498 24799176 26319646 26565624 27303558 32672664 33065568 33580238 33894072 35420832 36404744 39479469 40955337 43563552 45192096 49008996 49598352 50370357 52639292 53131248 54607116 65345328 67160476 67788144 72809488 78958938 81910674 98017992 99196704 100740714 105278584 106262496 109214232 118438407 122866011 130690656 134320952 135576288 145618976 151111071 157917876 163821348 196035984 201481428 210557168 218428464 236876814 245732022 268641904 302222142 315835752 327642696 355315221 392071968 402962856 421114336 436856928 453333213 473753628 486913451 491464044 537283808 604444284 631671504 655285392 710630442 805925712 906666426 947507256 973826902 982928088 1208888568 1263343008 1310570784 1421260884 1460740353 1611851424 1813332852 1895014512 1947653804 1965856176 2417777136 2842521768 2921480706 3626665704 3790029024 3895307608 3931712352 4382221059 4835554272 5685043536 5842961412 7253331408 7790615216 8764442118 11370087072 11685922824 13146663177 14506662816 15581230432 17528884236 23371845648 26293326354 35057768472 46743691296 52586652708 70115536944 105173305416 140231073888 210346610832 420693221664
• Sum of all divisors σ(n): 1316133100800
• Sum of proper divisors (its aliquot sum) s(n): 895439879136
• 420693221664 is an abundant number, because the sum of its proper divisors (895439879136) is greater than itself. Its abundance is 474746657472

Bases of 420693221664

• Binary: 110000111110011010001010010000100100000₂
• Hexadecimal: 0x61F3452120
• Base-36: 5D9HVRC0

Squares and roots of 420693221664

• 420693221664 squared (420693221664²) is 176982786754035438928896
• 420693221664 cubed (420693221664³) is 74455458738627873955825579662802944
• The square root of 420693221664 is 648608.6814590135
• The cube root of 420693221664 is 7492.9903197455

Scales and comparisons

• 420,693,221,664 seconds is equal to 13,376 years, 38 weeks, 4 days, 12 hours, 14 minutes, 24 seconds.
• To count from 1 to 420,693,221,664 would take you about twenty-six thousand, seven hundred fifty-three 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 420693221664 cubic inches would be around 624.4 feet tall.

Recreational maths with 420693221664

• 420693221664 backwards is 466122396024
• The number of decimal digits it has is: 12
• The sum of 420693221664's digits is 45
• More coming soon!