Search a number
-
+
41215145400 = 23325211132109113
BaseRepresentation
bin100110011000100111…
…010011010110111000
310221101100120022121200
4212120213103112320
51133402034123100
630533423334200
72656230645522
oct463047232670
9127340508550
1041215145400
111652a969840
127ba2a51360
133b6aa4a600
141dcdb20a12
151113514e00
hex9989d35b8

41215145400 has 864 divisors, whose sum is σ = 166466242800. Its totient is φ = 9057484800.

The previous prime is 41215145383. The next prime is 41215145431. The reversal of 41215145400 is 454151214.

41215145400 is a `hidden beast` number, since 4 + 1 + 215 + 1 + 45 + 400 = 666.

41215145400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 364735744 + ... + 364735856.

Almost surely, 241215145400 is an apocalyptic number.

41215145400 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 41215145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83233121400).

41215145400 is an abundant number, since it is smaller than the sum of its proper divisors (125251097400).

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

41215145400 is a wasteful number, since it uses less digits than its factorization.

41215145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 41215145400 its reverse (454151214), we get a palindrome (41669296614).

The spelling of 41215145400 in words is "forty-one billion, two hundred fifteen million, one hundred forty-five thousand, four hundred".