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42440400024 = 23311160759091
BaseRepresentation
bin100111100001101001…
…010001110010011000
311001112202002200222120
4213201221101302120
51143404220300044
631255153021240
73031466306451
oct474151216230
9131482080876
1042440400024
1116aa9554770
128285254820
134004844b49
1420a8746128
151185d8d519
hex9e1a51c98

42440400024 has 32 divisors (see below), whose sum is σ = 115746546240. Its totient is φ = 12860727200.

The previous prime is 42440400019. The next prime is 42440400029. The reversal of 42440400024 is 42000404424.

It is an interprime number because it is at equal distance from previous prime (42440400019) and next prime (42440400029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42440399967 and 42440400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440400029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80379282 + ... + 80379809.

It is an arithmetic number, because the mean of its divisors is an integer number (3617079570).

Almost surely, 242440400024 is an apocalyptic number.

42440400024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42440400024 is an abundant number, since it is smaller than the sum of its proper divisors (73306146216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42440400024 is a wasteful number, since it uses less digits than its factorization.

42440400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160759111 (or 160759107 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42440400024 its reverse (42000404424), we get a palindrome (84440804448).

The spelling of 42440400024 in words is "forty-two billion, four hundred forty million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 160759091 321518182 482277273 643036364 964554546 1286072728 1768350001 1929109092 3536700002 3858218184 5305050003 7073400004 10610100006 14146800008 21220200012 42440400024