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41130125400 = 233527131096911
BaseRepresentation
bin100110010011100010…
…111110100001011000
310221011102120212002210
4212103202332201120
51133213303003100
630521145155120
72654146204020
oct462342764130
9127142525083
1041130125400
1116496979a81
127b7a48baa0
133b56250310
141dc270ca80
15110ad1dc50
hex9938be858

41130125400 has 384 divisors, whose sum is σ = 158389862400. Its totient is φ = 8597145600.

The previous prime is 41130125369. The next prime is 41130125441. The reversal of 41130125400 is 452103114.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 5947945 + ... + 5954855.

It is an arithmetic number, because the mean of its divisors is an integer number (412473600).

Almost surely, 241130125400 is an apocalyptic number.

41130125400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194931200).

41130125400 is an abundant number, since it is smaller than the sum of its proper divisors (117259737000).

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

41130125400 is a wasteful number, since it uses less digits than its factorization.

41130125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 41130125400 its reverse (452103114), we get a palindrome (41582228514).

The spelling of 41130125400 in words is "forty-one billion, one hundred thirty million, one hundred twenty-five thousand, four hundred".