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231641240400 = 2434527990499
BaseRepresentation
bin1101011110111011100…
…1001101001101010000
3211010220110212020110000
43113232321031031100
512243400124143100
6254225311410000
722510200025203
oct3275671151520
9733813766400
10231641240400
118a269494459
1238a88223900
1318ac772932b
14b2d64b793a
15605b1e6900
hex35eee4d350

231641240400 has 300 divisors, whose sum is σ = 841874440000. Its totient is φ = 60988412160.

The previous prime is 231641240381. The next prime is 231641240419. The reversal of 231641240400 is 4042146132.

It is a happy number.

231641240400 is a `hidden beast` number, since 2 + 3 + 16 + 4 + 1 + 240 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (231641240381) and next prime (231641240419).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2514351 + ... + 2604849.

Almost surely, 2231641240400 is an apocalyptic number.

231641240400 is a gapful number since it is divisible by the number (20) 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 231641240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420937220000).

231641240400 is an abundant number, since it is smaller than the sum of its proper divisors (610233199600).

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

231641240400 is a wasteful number, since it uses less digits than its factorization.

231641240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90608 (or 90588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 231641240400 its reverse (4042146132), we get a palindrome (235683386532).

The spelling of 231641240400 in words is "two hundred thirty-one billion, six hundred forty-one million, two hundred forty thousand, four hundred".