Search a number
-
+
41025600000 = 29325571137
BaseRepresentation
bin100110001101010100…
…001111101000000000
310220220010220102012200
4212031110033220000
51133010023200000
630502532553200
72651436563160
oct461524175000
9126803812180
1041025600000
1116442977550
127b4b482800
133b3a6b3a78
141db28a05a0
151101a73500
hex98d50fa00

41025600000 has 1440 divisors, whose sum is σ = 189498621312. Its totient is φ = 8294400000.

The previous prime is 41025599983. The next prime is 41025600023. The reversal of 41025600000 is 652014.

It is a happy number.

41025600000 is a `hidden beast` number, since 4 + 102 + 560 + 0 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1108799982 + ... + 1108800018.

Almost surely, 241025600000 is an apocalyptic number.

41025600000 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 41025600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94749310656).

41025600000 is an abundant number, since it is smaller than the sum of its proper divisors (148473021312).

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

41025600000 is an equidigital number, since it uses as much as digits as its factorization.

41025600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 41025600000 in words is "forty-one billion, twenty-five million, six hundred thousand".