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41024020224031 = 13222710491019413
BaseRepresentation
bin10010101001111101001100…
…01001110001100000011111
312101020212011111122020122121
421110332212021301200133
520334114143134132111
6223130101423323411
711432613315244315
oct1124764611614037
9171225144566577
1041024020224031
1112087209a16889
124726891450567
1319b77190c0a00
14a1b804b040b5
154b21e011b871
hex254fa627181f

41024020224031 has 24 divisors (see below), whose sum is σ = 44660731222800. Its totient is φ = 37665528166656.

The previous prime is 41024020224023. The next prime is 41024020224079. The reversal of 41024020224031 is 13042202042014.

41024020224031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41024020224031 - 23 = 41024020224023 is a prime.

It is a super-2 number, since 2×410240202240312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41024020223987 and 41024020224005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41024020224001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39733081 + ... + 40752493.

It is an arithmetic number, because the mean of its divisors is an integer number (1860863800950).

Almost surely, 241024020224031 is an apocalyptic number.

41024020224031 is a deficient number, since it is larger than the sum of its proper divisors (3636710998769).

41024020224031 is a wasteful number, since it uses less digits than its factorization.

41024020224031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020715 (or 1020702 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 41024020224031 its reverse (13042202042014), we get a palindrome (54066222266045).

The spelling of 41024020224031 in words is "forty-one trillion, twenty-four billion, twenty million, two hundred twenty-four thousand, thirty-one".

Divisors: 1 13 169 227 1049 2951 13637 38363 177281 238123 1019413 3095599 13252369 40242787 172280797 231406751 1069364237 3008287763 13901735081 39107740919 180722556053 242745681799 3155693863387 41024020224031