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41230342012041 = 32713373309141117
BaseRepresentation
bin10010101111111101011111…
…11000111011110010001001
312101222120201102111000222200
421113332233320323302021
520401004220023341131
6223404542503310413
711453536211433210
oct1127765770736211
9171876642430880
1041230342012041
1112156765213976
12475a87214b409
131a0100a064940
14a277b863a077
154b776858d2e6
hex257fafe3bc89

41230342012041 has 96 divisors (see below), whose sum is σ = 75283529088768. Its totient is φ = 21158938298880.

The previous prime is 41230342012001. The next prime is 41230342012061. The reversal of 41230342012041 is 14021024303214.

41230342012041 is a `hidden beast` number, since 4 + 1 + 2 + 30 + 3 + 420 + 1 + 204 + 1 = 666.

It is not a de Polignac number, because 41230342012041 - 26 = 41230342011977 is a prime.

It is a super-2 number, since 2×412303420120412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41230342011996 and 41230342012014.

It is not an unprimeable number, because it can be changed into a prime (41230342012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002736015 + ... + 1002777131.

It is an arithmetic number, because the mean of its divisors is an integer number (784203428008).

Almost surely, 241230342012041 is an apocalyptic number.

It is an amenable number.

41230342012041 is a deficient number, since it is larger than the sum of its proper divisors (34053187076727).

41230342012041 is a wasteful number, since it uses less digits than its factorization.

41230342012041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74271 (or 74268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41230342012041 its reverse (14021024303214), we get a palindrome (55251366315255).

The spelling of 41230342012041 in words is "forty-one trillion, two hundred thirty billion, three hundred forty-two million, twelve thousand, forty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 33091 41117 99273 123351 231637 287819 297819 370053 430183 534521 694911 863457 1224367 1290549 1521329 1603563 2084733 2590371 3011281 3673101 3741647 3871647 4563987 4810689 8570569 9033843 10649303 11019303 11224941 13691961 15916771 19777277 25711707 27101529 31947909 33674823 47750313 59331831 77135121 95843727 111417397 138440939 143250939 177995493 334252191 415322817 1002756573 1245968451 1360602647 4081807941 9524218529 12245423823 17687834411 28572655587 50342297939 53063503233 85717966761 123814840877 151026893817 159190509699 352396085573 371444522631 453080681451 654449873207 1057188256719 1114333567893 1963349619621 3171564770157 4581149112449 5890048858863 13743447337347 41230342012041