428686415040

Names of 428686415040

• Cardinal: 428686415040 can be written as Four hundred twenty-eight billion, six hundred eighty-six million, four hundred fifteen thousand and forty.

Scientific notation

• Scientific notation: 4.2868641504 × 10¹¹

Factors of 428686415040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1914

Divisors of 428686415040

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 137 156 157 160 192 195 208 240 260 274 312 314 320 390 411 416 471 480 520 548 624 628 685 780 785 822 832 942 960 1040 1096 1248 1256 1370 1560 1570 1597 1644 1781 1884 2041 2055 2080 2192 2355 2496 2512 2740 3120 3140 3194 3288 3562 3768 4082 4110 4160 4384 4710 4791 5024 5343 5480 6123 6240 6280 6388 6576 7124 7536 7985 8164 8220 8768 8905 9420 9582 10048 10205 10686 10960 12246 12480 12560 12776 13152 14248 15072 15970 16328 16440 17810 18840 19164 20410 20761 21372 21509 21920 23955 24492 25120 25552 26304 26715 28496 30144 30615 31940 32656 32880 35620 37680 38328 40820 41522 42744 43018 43840 47910 48984 50240 51104 53430 56992 61230 62283 63880 64527 65312 65760 71240 75360 76656 81640 83044 85488 86036 95820 97968 102208 103805 106860 107545 113984 122460 124566 127760 129054 130624 131520 142480 150720 153312 163280 166088 170976 172072 191640 195936 207610 213720 215090 218789 244920 249132 250729 255520 258108 279617 284960 306624 311415 322635 326560 332176 341952 344144 383280 391872 415220 427440 430180 437578 489840 498264 501458 511040 516216 559234 569920 622830 645270 653120 656367 664352 688288 752187 766560 830440 838851 854880 860360 875156 979680 996528 1002916 1032432 1093945 1118468 1245660 1253645 1290540 1312734 1328704 1376576 1398085 1504374 1533120 1660880 1677702 1709760 1720720 1750312 1959360 1993056 2005832 2064864 2187890 2236936 2491320 2507290 2581080 2625468 2796170 2844257 3008748 3259477 3281835 3321760 3355404 3441440 3500624 3760935 3986112 4011664 4129728 4194255 4375780 4473872 4982640 5014580 5162160 5250936 5592340 5688514 6017496 6518954 6563670 6643520 6710808 6882880 7001248 7521870 8023328 8388510 8532771 8751560 8947744 9778431 9965280 10029160 10324320 10501872 11184680 11377028 12034992 13037908 13127340 13421616 14002496 14221285 15043740 16046656 16297385 16777020 17065542 17503120 17895488 19556862 19930560 20058320 20648640 21003744 22369360 22754056 24069984 26075816 26254680 26843232 28442570 30087480 32594770 33554040 34131084 34349873 35006240 39113724 40116640 42007488 42663855 44738720 45508112 48139968 48892155 52151632 52509360 53686464 56885140 60174960 65189540 67108080 68262168 68699746 70012480 78227448 80233280 85327710 89477440 91016224 97784310 103049619 104303264 105018720 113770280 120349920 130379080 134216160 136524336 137399492 156454896 170655420 171749365 182032448 195568620 206099238 208606528 210037440 227540560 240699840 260758160 268432320 273048672 274798984 312909792 341310840 343498730 391137240 412198476 446548349 455081120 515248095 521516320 546097344 549597968 625819584 682621680 686997460 782274480 824396952 893096698 910162240 1030496190 1043032640 1099195936 1339645047 1365243360 1373994920 1564548960 1648793904 1786193396 2060992380 2198391872 2232741745 2679290094 2730486720 2747989840 3129097920 3297587808 3572386792 4121984760 4465483490 5358580188 5495979680 6595175616 6698225235 7144773584 8243969520 8930966980 10717160376 10991959360 13396450470 14289547168 16487939040 17861933960 21434320752 26792900940 28579094336 32975878080 35723867920 42868641504 53585801880 71447735840 85737283008 107171603760 142895471680 214343207520 428686415040
• Sum of all divisors σ(n): 1486811620224
• Sum of proper divisors (its aliquot sum) s(n): 1058125205184
• 428686415040 is an abundant number, because the sum of its proper divisors (1058125205184) is greater than itself. Its abundance is 629438790144

Bases of 428686415040

• Binary: 110001111001111101100111001010011000000₂
• Hexadecimal: 0x63CFB394C0
• Base-36: 5GXOTMTC

Squares and roots of 428686415040

• 428686415040 squared (428686415040²) is 183772042439847138201600
• 428686415040 cubed (428686415040³) is 78780578058116804521247336792064000
• The square root of 428686415040 is 654741.4871840641
• The cube root of 428686415040 is 7540.1486357479

Scales and comparisons

• 428,686,415,040 seconds is equal to 13,630 years, 46 weeks, 6 days, 7 hours, 44 minutes.
• To count from 1 to 428,686,415,040 would take you about twenty-seven thousand, two hundred sixty-one 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 428686415040 cubic inches would be around 628.3 feet tall.

Recreational maths with 428686415040

• 428686415040 backwards is 040514686824
• 428686415040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 428686415040's digits is 48
• More coming soon!