Search a number
-
+
41341650134400 = 27345272111991487
BaseRepresentation
bin10010110011001100110100…
…10111101110010110000000
312102101020000200100111220000
421121212122113232112000
520404320144413300100
6223532031502520000
711464556426033400
oct1131463227562600
9172336020314800
1041341650134400
11121999937a9740
124778356b96000
131a0b668581835
14a2cd37456800
154ba5d042c900
hex25999a5ee580

41341650134400 has 2880 divisors, whose sum is σ = 194704627392000. Its totient is φ = 8541556531200.

The previous prime is 41341650134297. The next prime is 41341650134401. The reversal of 41341650134400 is 443105614314.

41341650134400 is a `hidden beast` number, since 4 + 134 + 16 + 501 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41341650134401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27802050457 + ... + 27802051943.

It is an arithmetic number, because the mean of its divisors is an integer number (67605773400).

Almost surely, 241341650134400 is an apocalyptic number.

41341650134400 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 41341650134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97352313696000).

41341650134400 is an abundant number, since it is smaller than the sum of its proper divisors (153362977257600).

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

41341650134400 is a wasteful number, since it uses less digits than its factorization.

41341650134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 41341650134400 its reverse (443105614314), we get a palindrome (41784755748714).

The spelling of 41341650134400 in words is "forty-one trillion, three hundred forty-one billion, six hundred fifty million, one hundred thirty-four thousand, four hundred".