Search a number
-
+
41410948488 = 233713313761271
BaseRepresentation
bin100110100100010010…
…001110110110001000
310221220000000010221220
4212210102032312020
51134302200322423
631005100202040
72664126153150
oct464422166610
9127800003856
1041410948488
1116620445578
128038539320
133b9c495520
14200bb2d760
1511257e09e3
hex9a448ed88

41410948488 has 512 divisors, whose sum is σ = 137804513280. Its totient is φ = 10077696000.

The previous prime is 41410948487. The next prime is 41410948589. The reversal of 41410948488 is 88484901414.

It is a super-2 number, since 2×414109484882 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41410948488.

It is not an unprimeable number, because it can be changed into a prime (41410948487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152807793 + ... + 152808063.

It is an arithmetic number, because the mean of its divisors is an integer number (269149440).

Almost surely, 241410948488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41410948488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68902256640).

41410948488 is an abundant number, since it is smaller than the sum of its proper divisors (96393564792).

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

41410948488 is a wasteful number, since it uses less digits than its factorization.

41410948488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 41410948488 in words is "forty-one billion, four hundred ten million, nine hundred forty-eight thousand, four hundred eighty-eight".