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4013124440 = 235137717547
BaseRepresentation
bin1110111100110011…
…0110101101011000
3101100200101211210112
43233030312231120
531204324440230
61502115103452
7201306665153
oct35714665530
911320354715
104013124440
11177a338876
1293bba1b88
134bc568460
142a0dacc9a
151874b8d95
hexef336b58

4013124440 has 32 divisors (see below), whose sum is σ = 9724110480. Its totient is φ = 1481768832.

The previous prime is 4013124421. The next prime is 4013124443. The reversal of 4013124440 is 444213104.

It is a happy number.

It is a super-2 number, since 2×40131244402 = 32210335541850627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013124443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3858254 + ... + 3859293.

Almost surely, 24013124440 is an apocalyptic number.

4013124440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013124440 is an abundant number, since it is smaller than the sum of its proper divisors (5710986040).

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

4013124440 is a wasteful number, since it uses less digits than its factorization.

4013124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717571 (or 7717567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4013124440 is about 63349.2260410496. The cubic root of 4013124440 is about 1589.1353024153.

Adding to 4013124440 its reverse (444213104), we get a palindrome (4457337544).

The spelling of 4013124440 in words is "four billion, thirteen million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7717547 15435094 30870188 38587735 61740376 77175470 100328111 154350940 200656222 308701880 401312444 501640555 802624888 1003281110 2006562220 4013124440