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41431113024 = 2637195412999
BaseRepresentation
bin100110100101011111…
…001001110101000000
310221221101221121111120
4212211133021311000
51134322331104044
631011100312240
72664462435660
oct464537116500
9127841847446
1041431113024
1116630868484
128043242680
133ba37057c2
14201069c1a0
151127475519
hex9a57c9d40

41431113024 has 224 divisors, whose sum is σ = 132161280000. Its totient is φ = 11189975040.

The previous prime is 41431113011. The next prime is 41431113041. The reversal of 41431113024 is 42031113414.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 41431112985 and 41431113003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13813477 + ... + 13816475.

Almost surely, 241431113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41431113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66080640000).

41431113024 is an abundant number, since it is smaller than the sum of its proper divisors (90730166976).

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

41431113024 is a wasteful number, since it uses less digits than its factorization.

41431113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41431113024 its reverse (42031113414), we get a palindrome (83462226438).

The spelling of 41431113024 in words is "forty-one billion, four hundred thirty-one million, one hundred thirteen thousand, twenty-four".