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41122512412420 = 22541131497381373
BaseRepresentation
bin10010101100110100101001…
…01111101001111100000100
312101121021101121001211012211
421112122110233221330010
520342222401134144140
6223243231004553204
711443001123111515
oct1126322457517404
9171537347054184
1041122512412420
1112114a6121678a
12474199a252804
1319c3ab440471a
14a224a97caa0c
154b4a56cb72ea
hex256694be9f04

41122512412420 has 48 divisors (see below), whose sum is σ = 88464455796528. Its totient is φ = 16047645603840.

The previous prime is 41122512412411. The next prime is 41122512412453. The reversal of 41122512412420 is 2421421522114.

It is a happy number.

41122512412420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12974576836 + 41109537835584 = 113906^2 + 6411672^2 .

It is a super-2 number, since 2×411225124124202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107636854 + ... + 108018226.

It is an arithmetic number, because the mean of its divisors is an integer number (1843009495761).

Almost surely, 241122512412420 is an apocalyptic number.

It is an amenable number.

41122512412420 is an abundant number, since it is smaller than the sum of its proper divisors (47341943384108).

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

41122512412420 is a wasteful number, since it uses less digits than its factorization.

41122512412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512920 (or 512918 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 41122512412420 its reverse (2421421522114), we get a palindrome (43543933934534).

The spelling of 41122512412420 in words is "forty-one trillion, one hundred twenty-two billion, five hundred twelve million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 131497 262994 381373 525988 657485 762746 1314970 1525492 1906865 2629940 3813730 5391377 7627460 10782754 15636293 21565508 26956885 31272586 53913770 62545172 78181465 107827540 156362930 312725860 50149405381 100298810762 200597621524 250747026905 501494053810 1002988107620 2056125620621 4112251241242 8224502482484 10280628103105 20561256206210 41122512412420