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41131436420 = 22517313386501
BaseRepresentation
bin100110010011100111…
…111110100110000100
310221011112001110111002
4212103213332212010
51133214121431140
630521233232432
72654163304154
oct462347764604
9127145043432
1041131436420
1116497694a68
127b7aa02718
133b565bbc79
141dc2970764
15110aecc415
hex9939fe984

41131436420 has 48 divisors (see below), whose sum is σ = 91749390768. Its totient is φ = 15435264000.

The previous prime is 41131436393. The next prime is 41131436449. The reversal of 41131436420 is 2463413114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14947018564 + 26184417856 = 122258^2 + 161816^2 .

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 15 ways as a sum of consecutive naturals, for example, 86831 + ... + 299670.

It is an arithmetic number, because the mean of its divisors is an integer number (1911445641).

Almost surely, 241131436420 is an apocalyptic number.

It is an amenable number.

41131436420 is an abundant number, since it is smaller than the sum of its proper divisors (50617954348).

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

41131436420 is a wasteful number, since it uses less digits than its factorization.

41131436420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386840 (or 386838 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 41131436420 its reverse (2463413114), we get a palindrome (43594849534).

The spelling of 41131436420 in words is "forty-one billion, one hundred thirty-one million, four hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 5321 6260 10642 21284 26605 53210 106420 386501 773002 1546004 1932505 3865010 6570517 7730020 13141034 26282068 32852585 65705170 120974813 131410340 241949626 483899252 604874065 1209748130 2056571821 2419496260 4113143642 8226287284 10282859105 20565718210 41131436420