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43231130240400 = 243252173135963473
BaseRepresentation
bin10011101010001100010000…
…01010010100010110010000
312200001212002210112000222200
421311012020022110112100
521131244323320143100
6231540035043003200
712051226464656154
oct1165061012242620
9180055083460880
1043231130240400
1112858245a95353
124a22596069500
131b178a79b9b0b
14a9657da6d064
154ee81a869e00
hex275188294590

43231130240400 has 720 divisors, whose sum is σ = 164432474219520. Its totient is φ = 10470747340800.

The previous prime is 43231130240399. The next prime is 43231130240491. The reversal of 43231130240400 is 404203113234.

43231130240400 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 1 + 13 + 0 + 240 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 681063064 + ... + 681126536.

It is an arithmetic number, because the mean of its divisors is an integer number (228378436416).

Almost surely, 243231130240400 is an apocalyptic number.

43231130240400 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 43231130240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82216237109760).

43231130240400 is an abundant number, since it is smaller than the sum of its proper divisors (121201343979120).

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

43231130240400 is a wasteful number, since it uses less digits than its factorization.

43231130240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63904 (or 63890 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 43231130240400 its reverse (404203113234), we get a palindrome (43635333353634).

The spelling of 43231130240400 in words is "forty-three trillion, two hundred thirty-one billion, one hundred thirty million, two hundred forty thousand, four hundred".