Search a number
-
+
41334042212442 = 23271953443735367
BaseRepresentation
bin10010110010111110101001…
…11001110011100001011010
312102100111101110201000221200
421121133110321303201122
520404204104301244232
6223524332530415030
711464200045542040
oct1131372471634132
9172314343630850
1041334042212442
111219673a286331
124776993131476
131a0aa25338275
14a2c814c90390
154ba2d757d77c
hex2597d4e7385a

41334042212442 has 192 divisors, whose sum is σ = 110018582968320. Its totient is φ = 10952270589312.

The previous prime is 41334042212417. The next prime is 41334042212459. The reversal of 41334042212442 is 24421224043314.

41334042212442 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 404 + 2 + 2 + 1 + 244 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41334042212397 and 41334042212406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55841043 + ... + 56576409.

It is an arithmetic number, because the mean of its divisors is an integer number (573013452960).

Almost surely, 241334042212442 is an apocalyptic number.

41334042212442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41334042212442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55009291484160).

41334042212442 is an abundant number, since it is smaller than the sum of its proper divisors (68684540755878).

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

41334042212442 is a wasteful number, since it uses less digits than its factorization.

41334042212442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735897 (or 735894 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 41334042212442 its reverse (24421224043314), we get a palindrome (65755266255756).

The spelling of 41334042212442 in words is "forty-one trillion, three hundred thirty-four billion, forty-two million, two hundred twelve thousand, four hundred forty-two".