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41014241031400 = 235271347131571641
BaseRepresentation
bin10010101001101010111110…
…10001000111010011101000
312101012220220222100210021221
421110311133101013103220
520333434131201001100
6223121403205311424
711432116061420530
oct1124653721072350
9171186828323257
1041014241031400
11120830509066aa
124724a02405574
1319b681b0945b0
14a1b15801c4c0
154b1d1b82801a
hex254d5f4474e8

41014241031400 has 768 divisors, whose sum is σ = 121176164229120. Its totient is φ = 12565463040000.

The previous prime is 41014241031359. The next prime is 41014241031403. The reversal of 41014241031400 is 413014241014.

41014241031400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41014241031403) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 63984775080 + ... + 63984775720.

It is an arithmetic number, because the mean of its divisors is an integer number (157781463840).

Almost surely, 241014241031400 is an apocalyptic number.

41014241031400 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 41014241031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60588082114560).

41014241031400 is an abundant number, since it is smaller than the sum of its proper divisors (80161923197720).

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

41014241031400 is a wasteful number, since it uses less digits than its factorization.

41014241031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 41014241031400 its reverse (413014241014), we get a palindrome (41427255272414).

The spelling of 41014241031400 in words is "forty-one trillion, fourteen billion, two hundred forty-one million, thirty-one thousand, four hundred".