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41041121140320 = 2535783985114939
BaseRepresentation
bin10010101010011101000010…
…11100100101111001100000
312101022111022022000210200120
421111032201130211321200
520334404204002442240
6223142010351320240
711434060145525160
oct1125164134457140
9171274268023616
1041041121140320
1112093494a42354
12472a064520080
1319b9212c889a2
14a1c587d725a0
154b28915c9ad0
hex2553a1725e60

41041121140320 has 384 divisors, whose sum is σ = 149553322168320. Its totient is φ = 9266244556800.

The previous prime is 41041121140309. The next prime is 41041121140321. The reversal of 41041121140320 is 2304112114014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41041121140321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2747239411 + ... + 2747254349.

It is an arithmetic number, because the mean of its divisors is an integer number (389461776480).

Almost surely, 241041121140320 is an apocalyptic number.

41041121140320 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 41041121140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74776661084160).

41041121140320 is an abundant number, since it is smaller than the sum of its proper divisors (108512201028000).

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

41041121140320 is a wasteful number, since it uses less digits than its factorization.

41041121140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24898 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41041121140320 its reverse (2304112114014), we get a palindrome (43345233254334).

The spelling of 41041121140320 in words is "forty-one trillion, forty-one billion, one hundred twenty-one million, one hundred forty thousand, three hundred twenty".