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41231232442400 = 25527111323960581
BaseRepresentation
bin10010101111111111001001…
…11101101010000000100000
312101222200000110222120210212
421113333210331222000200
520401013031001124100
6223405211112313252
711453600243114120
oct1127774475520040
9171880013876725
1041231232442400
11121570818aa430
12475aa803a2828
131a0111c68a600
14a278609c4c80
154b77bb829635
hex257fe4f6a020

41231232442400 has 432 divisors, whose sum is σ = 135888772436928. Its totient is φ = 11862729216000.

The previous prime is 41231232442373. The next prime is 41231232442427. The reversal of 41231232442400 is 424423213214.

It is a happy number.

41231232442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41231232442373) and next prime (41231232442427).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8430110 + ... + 12390690.

It is an arithmetic number, because the mean of its divisors is an integer number (314557343604).

Almost surely, 241231232442400 is an apocalyptic number.

41231232442400 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 41231232442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944386218464).

41231232442400 is an abundant number, since it is smaller than the sum of its proper divisors (94657539994528).

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

41231232442400 is a wasteful number, since it uses less digits than its factorization.

41231232442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960645 (or 3960619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41231232442400 its reverse (424423213214), we get a palindrome (41655655655614).

The spelling of 41231232442400 in words is "forty-one trillion, two hundred thirty-one billion, two hundred thirty-two million, four hundred forty-two thousand, four hundred".