Search a number
-
+
41704410880 = 2851117237277
BaseRepresentation
bin100110110101110001…
…101100111100000000
310222122110012120200101
4212311301230330000
51140402312122010
631054142132144
73004321433506
oct466561547400
9128573176611
1041704410880
1116761064180
1280ba881054
133c18214702
142038ac0676
15114145c73a
hex9b5c6cf00

41704410880 has 432 divisors, whose sum is σ = 119321901216. Its totient is φ = 13837271040.

The previous prime is 41704410851. The next prime is 41704410883. The reversal of 41704410880 is 8801440714.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41704410883) 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 47 ways as a sum of consecutive naturals, for example, 150557302 + ... + 150557578.

Almost surely, 241704410880 is an apocalyptic number.

41704410880 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 41704410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59660950608).

41704410880 is an abundant number, since it is smaller than the sum of its proper divisors (77617490336).

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

41704410880 is a wasteful number, since it uses less digits than its factorization.

41704410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 41704410880 in words is "forty-one billion, seven hundred four million, four hundred ten thousand, eight hundred eighty".