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24414242004 = 2232709956521
BaseRepresentation
bin10110101111001100…
…111100010011010100
32100000110200222220100
4112233030330103110
5400000021221004
615114333534100
71523002430055
oct265714742324
970013628810
1024414242004
11a399226409
124894344330
1323c1086259
14127866a72c
1597d569739
hex5af33c4d4

24414242004 has 36 divisors (see below), whose sum is σ = 61800886420. Its totient is φ = 8126593920.

The previous prime is 24414241961. The next prime is 24414242089. The reversal of 24414242004 is 40024241442.

24414242004 is a `hidden beast` number, since 2 + 4 + 414 + 242 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12633310404 + 11780931600 = 112398^2 + 108540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452737 + ... + 503784.

Almost surely, 224414242004 is an apocalyptic number.

It is an amenable number.

24414242004 is an abundant number, since it is smaller than the sum of its proper divisors (37386644416).

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

24414242004 is a wasteful number, since it uses less digits than its factorization.

24414242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957240 (or 957235 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 24414242004 its reverse (40024241442), we get a palindrome (64438483446).

It can be divided in two parts, 244142 and 42004, that added together give a triangular number (286146 = T756).

The spelling of 24414242004 in words is "twenty-four billion, four hundred fourteen million, two hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 709 1418 2127 2836 4254 6381 8508 12762 25524 956521 1913042 2869563 3826084 5739126 8608689 11478252 17217378 34434756 678173389 1356346778 2034520167 2712693556 4069040334 6103560501 8138080668 12207121002 24414242004