Search a number
-
+
41512343040 = 2932571922331
BaseRepresentation
bin100110101010010101…
…000001011000000000
310222011001210112010200
4212222111001120000
51140004124434130
631023121325200
72666500044120
oct465225013000
9128131715120
1041512343040
11166726a9823
128066496800
133bb74a69bc
14201b3a4c80
15112e66d760
hex9aa541600

41512343040 has 1440 divisors, whose sum is σ = 186786902016. Its totient is φ = 8320942080.

The previous prime is 41512343023. The next prime is 41512343051. The reversal of 41512343040 is 4034321514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 41512342995 and 41512343013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1339107825 + ... + 1339107855.

Almost surely, 241512343040 is an apocalyptic number.

41512343040 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 41512343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93393451008).

41512343040 is an abundant number, since it is smaller than the sum of its proper divisors (145274558976).

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

41512343040 is a wasteful number, since it uses less digits than its factorization.

41512343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41512343040 its reverse (4034321514), we get a palindrome (45546664554).

The spelling of 41512343040 in words is "forty-one billion, five hundred twelve million, three hundred forty-three thousand, forty".