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41041010114412 = 2237211243531271993
BaseRepresentation
bin10010101010011100110101…
…10101000011111101101100
312101022111000120010002202220
421111032122311003331230
520334403442042130122
6223141551343515340
711434054330031400
oct1125163265037554
9171274016102686
1041041010114412
11120934382aaa00
12472a0332b8b50
1319b91c5c84699
14a1c577311100
154b288699825c
hex25539ad43f6c

41041010114412 has 864 divisors, whose sum is σ = 128725944754176. Its totient is φ = 10130117437440.

The previous prime is 41041010114329. The next prime is 41041010114417. The reversal of 41041010114412 is 21441101014014.

It is a super-2 number, since 2×410410101144122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41041010114417) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20592578088 + ... + 20592580080.

It is an arithmetic number, because the mean of its divisors is an integer number (148988361984).

Almost surely, 241041010114412 is an apocalyptic number.

41041010114412 is a gapful number since it is divisible by the number (42) 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 41041010114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64362972377088).

41041010114412 is an abundant number, since it is smaller than the sum of its proper divisors (87684934639764).

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

41041010114412 is a wasteful number, since it uses less digits than its factorization.

41041010114412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 41041010114412 its reverse (21441101014014), we get a palindrome (62482111128426).

The spelling of 41041010114412 in words is "forty-one trillion, forty-one billion, ten million, one hundred fourteen thousand, four hundred twelve".