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41411543040 = 21732571759
BaseRepresentation
bin100110100100010100…
…100000000000000000
310221220001010100112100
4212210110200000000
51134302323334130
631005121030400
72664134210430
oct464424400000
9127801110470
1041411543040
111662081123a
128038785400
133b9c64302a
14200bc462c0
1511258abc60
hex9a4520000

41411543040 has 864 divisors, whose sum is σ = 176663410560. Its totient is φ = 8757706752.

The previous prime is 41411543021. The next prime is 41411543053. The reversal of 41411543040 is 4034511414.

41411543040 is a `hidden beast` number, since 41 + 41 + 1 + 543 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41411542995 and 41411543013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701890531 + ... + 701890589.

It is an arithmetic number, because the mean of its divisors is an integer number (204471540).

Almost surely, 241411543040 is an apocalyptic number.

41411543040 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 41411543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331705280).

41411543040 is an abundant number, since it is smaller than the sum of its proper divisors (135251867520).

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

41411543040 is an equidigital number, since it uses as much as digits as its factorization.

41411543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 41411543040 in words is "forty-one billion, four hundred eleven million, five hundred forty-three thousand, forty".