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41343000480 = 2533523279229
BaseRepresentation
bin100110100000001111…
…000001111110100000
310221201021011000211000
4212200033001332200
51134132302003410
630554231552000
72662342464045
oct464017017640
9127637130730
1041343000480
11165960561a1
12801982b600
133b8b3949c2
142002ac31cc
15111e86cdc0
hex9a03c1fa0

41343000480 has 576 divisors, whose sum is σ = 153849024000. Its totient is φ = 10366507008.

The previous prime is 41343000463. The next prime is 41343000509. The reversal of 41343000480 is 8400034314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180537006 + ... + 180537234.

It is an arithmetic number, because the mean of its divisors is an integer number (267099000).

Almost surely, 241343000480 is an apocalyptic number.

41343000480 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 41343000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76924512000).

41343000480 is an abundant number, since it is smaller than the sum of its proper divisors (112506023520).

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

41343000480 is a wasteful number, since it uses less digits than its factorization.

41343000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41343000480 its reverse (8400034314), we get a palindrome (49743034794).

The spelling of 41343000480 in words is "forty-one billion, three hundred forty-three million, four hundred eighty", and thus it is an aban number.