Search a number
-
+
41325860272400 = 245211171075163409
BaseRepresentation
bin10010110010101111011010…
…01110001011100100010000
312102022201021020221102020022
421121113231032023210100
520404040330212204100
6223520501011203012
711463460225313324
oct1131275516134420
9172281236842208
1041325860272400
1112193220840710
12477528aba6468
131a0a0201c2222
14a2c27a385984
154b9ea90e4e85
hex2595ed38b910

41325860272400 has 240 divisors, whose sum is σ = 115754399369280. Its totient is φ = 14011423948800.

The previous prime is 41325860272369. The next prime is 41325860272429. The reversal of 41325860272400 is 427206852314.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5421896 + ... + 10585304.

It is an arithmetic number, because the mean of its divisors is an integer number (482309997372).

Almost surely, 241325860272400 is an apocalyptic number.

41325860272400 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 41325860272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57877199684640).

41325860272400 is an abundant number, since it is smaller than the sum of its proper divisors (74428539096880).

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

41325860272400 is a wasteful number, since it uses less digits than its factorization.

41325860272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163562 (or 5163551 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 41325860272400 in words is "forty-one trillion, three hundred twenty-five billion, eight hundred sixty million, two hundred seventy-two thousand, four hundred".