398423734605648

Names of 398423734605648

• Cardinal: 398423734605648 can be written as Three hundred ninety-eight trillion, four hundred twenty-three billion, seven hundred thirty-four million, six hundred five thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 3.98423734605648 × 10¹⁴

Factors of 398423734605648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 97846

Divisors of 398423734605648

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 389 432 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 10503 14004 18672 21006 28008 42012 46901 50551 56016 84024 93802 101102 140703 151653 168048 187604 202204 281406 303306 375208 404408 422109 454959 562812 606612 750416 808816 844218 909918 1125624 1213224 1266327 1364877 1688436 1819836 2251248 2426448 2532654 2729754 3376872 3639672 5065308 5459508 6753744 7279344 10130616 10919016 18244489 19664339 20261232 21838032 36488978 39328678 54733467 58993017 72977956 78657356 109466934 117986034 145955912 157314712 164200401 176979051 218933868 235972068 291911824 314629424 328400802 353958102 437867736 471944136 492601203 530937153 656801604 707916204 875735472 943888272 985202406 1061874306 1313603208 1415832408 1970404812 2123748612 2370892451 2627206416 2831664816 3940809624 4247497224 4741784902 7112677353 7881619248 8494994448 9483569804 14225354706 18967139608 21338032059 28450709412 37934279216 42676064118 56901418824 64014096177 85352128236 113802837648 128028192354 170704256472 256056384708 341408512944 512112769416 922277163439 1024225538832 1844554326878 2766831490317 3689108653756 5533662980634 7378217307512 8300494470951 11067325961268 14756434615024 16600988941902 22134651922536 24901483412853 33201977883804 44269303845072 49802966825706 66403955767608 99605933651412 132807911535216 199211867302824 398423734605648
• Sum of all divisors σ(n): 1146610717574400
• Sum of proper divisors (its aliquot sum) s(n): 748186982968752
• 398423734605648 is an abundant number, because the sum of its proper divisors (748186982968752) is greater than itself. Its abundance is 349763248363104

Bases of 398423734605648

• Binary: 1011010100101110101000001001010111101011101010000₂
• Hexadecimal: 0x16A5D412BD750
• Base-36: 3X89C4L6C0

Squares and roots of 398423734605648

• 398423734605648 squared (398423734605648²) is 158741472297111831666073499904
• 398423734605648 cubed (398423734605648³) is 63246370229414308601777631575094404605857792
• The square root of 398423734605648 is 19960554.4663881519
• The cube root of 398423734605648 is 73583.7190406051

Scales and comparisons

• 398,423,734,605,648 seconds is equal to 12,668,642 years, 18 weeks, 3 days, 4 hours, 40 minutes, 48 seconds.
• To count from 1 to 398,423,734,605,648 would take you about thirty-one million, six hundred seventy-one thousand, six hundred five 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 398423734605648 cubic inches would be around 6132 feet tall.

Recreational maths with 398423734605648

• 398423734605648 backwards is 846506437324893
• 398423734605648 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 398423734605648's digits is 72
• More coming soon!