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24010441040 = 245973094129
BaseRepresentation
bin10110010111001000…
…100100000101010000
32021222022212210010002
4112113020210011100
5343133133103130
615010311025132
71510000244555
oct262710440520
967868783102
1024010441040
11a2012a4803
1247a106b1a8
132358513881
14123ab96a2c
15957da4b45
hex597224150

24010441040 has 40 divisors (see below), whose sum is σ = 56399801640. Its totient is φ = 9505161216.

The previous prime is 24010441031. The next prime is 24010441069. The reversal of 24010441040 is 4014401042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2547019024 + 21463422016 = 50468^2 + 146504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539305 + ... + 1554824.

It is an arithmetic number, because the mean of its divisors is an integer number (1409995041).

Almost surely, 224010441040 is an apocalyptic number.

24010441040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24010441040 is an abundant number, since it is smaller than the sum of its proper divisors (32389360600).

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

24010441040 is a wasteful number, since it uses less digits than its factorization.

24010441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094239 (or 3094233 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24010441040 its reverse (4014401042), we get a palindrome (28024842082).

The spelling of 24010441040 in words is "twenty-four billion, ten million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 3094129 6188258 12376516 15470645 24753032 30941290 49506064 61882580 123765160 247530320 300130513 600261026 1200522052 1500652565 2401044104 3001305130 4802088208 6002610260 12005220520 24010441040