Search a number
-
+
41202541640 = 235131741791439
BaseRepresentation
bin100110010111110111…
…001110010001001000
310221100110211222111202
4212113313032101020
51133340322313030
630532253243332
72656015553051
oct462767162110
9127313758452
1041202541640
1116523840407
127b9a793548
133b68256870
141dcc19d728
151112375745
hex997dce448

41202541640 has 256 divisors, whose sum is σ = 109734912000. Its totient is φ = 13782712320.

The previous prime is 41202541607. The next prime is 41202541643. The reversal of 41202541640 is 4614520214.

41202541640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41202541643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28632041 + ... + 28633479.

It is an arithmetic number, because the mean of its divisors is an integer number (428652000).

Almost surely, 241202541640 is an apocalyptic number.

41202541640 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 41202541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456000).

41202541640 is an abundant number, since it is smaller than the sum of its proper divisors (68532370360).

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

41202541640 is a wasteful number, since it uses less digits than its factorization.

41202541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 41202541640 in words is "forty-one billion, two hundred two million, five hundred forty-one thousand, six hundred forty".