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41443814412 = 2232711131767651
BaseRepresentation
bin100110100110001111…
…100110110000001100
310221222021211220112100
4212212033212300030
51134334104030122
631012232435100
72665005416160
oct464617466014
9127867756470
1041443814412
1116637a531a0
128047548a90
133ba6231b10
142012246ca0
151128633aac
hex9a63e6c0c

41443814412 has 288 divisors, whose sum is σ = 148933983744. Its totient is φ = 9351936000.

The previous prime is 41443814407. The next prime is 41443814413. The reversal of 41443814412 is 21441834414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41443814413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578787 + ... + 646437.

It is an arithmetic number, because the mean of its divisors is an integer number (517131888).

Almost surely, 241443814412 is an apocalyptic number.

41443814412 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 41443814412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74466991872).

41443814412 is an abundant number, since it is smaller than the sum of its proper divisors (107490169332).

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

41443814412 is a wasteful number, since it uses less digits than its factorization.

41443814412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67709 (or 67704 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 41443814412 in words is "forty-one billion, four hundred forty-three million, eight hundred fourteen thousand, four hundred twelve".