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41943186109440 = 21032571173831951
BaseRepresentation
bin10011000100101101010001…
…01101010111010000000000
312111111201200202102012000200
421202112220231113100000
520444144121121000230
6225112233402245200
711556203152331640
oct1142265055272000
9174451622365020
1041943186109440
1112401007113aa0
124854a541b6800
131a532c14b8ac5
14a500bd6c6520
154cb08a04e160
hex2625a8b57400

41943186109440 has 2112 divisors, whose sum is σ = 185983534743552. Its totient is φ = 8488157184000.

The previous prime is 41943186109439. The next prime is 41943186109501. The reversal of 41943186109440 is 4490168134914.

It is a happy number.

41943186109440 is a `hidden beast` number, since 4 + 1 + 9 + 4 + 3 + 18 + 610 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×419431861094402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21498300465 + ... + 21498302415.

Almost surely, 241943186109440 is an apocalyptic number.

41943186109440 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 41943186109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92991767371776).

41943186109440 is an abundant number, since it is smaller than the sum of its proper divisors (144040348634112).

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

41943186109440 is a wasteful number, since it uses less digits than its factorization.

41943186109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 41943186109440 in words is "forty-one trillion, nine hundred forty-three billion, one hundred eighty-six million, one hundred nine thousand, four hundred forty".