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41021235420240 = 243579109113269653
BaseRepresentation
bin10010101001111000000000…
…01010100101110001010000
312101020120222102112120000110
421110330000022211301100
520334042442231421430
6223124521223321320
711432454311636655
oct1124740012456120
9171216872476013
1041021235420240
111208600aa78549
1247262348b0240
1319b739418450a
14a1b61cd17c2c
154b20ca8d47b0
hex254f002a5c50

41021235420240 has 640 divisors, whose sum is σ = 131795921664000. Its totient is φ = 10551124426752.

The previous prime is 41021235420149. The next prime is 41021235420257. The reversal of 41021235420240 is 4202453212014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41021235420198 and 41021235420207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62819655754 + ... + 62819656406.

It is an arithmetic number, because the mean of its divisors is an integer number (205931127600).

Almost surely, 241021235420240 is an apocalyptic number.

41021235420240 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 41021235420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65897960832000).

41021235420240 is an abundant number, since it is smaller than the sum of its proper divisors (90774686243760).

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

41021235420240 is a wasteful number, since it uses less digits than its factorization.

41021235420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 41021235420240 its reverse (4202453212014), we get a palindrome (45223688632254).

The spelling of 41021235420240 in words is "forty-one trillion, twenty-one billion, two hundred thirty-five million, four hundred twenty thousand, two hundred forty".