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42353266235324 = 221134716127172009
BaseRepresentation
bin10011010000101001000110…
…11000111001011110111100
312112221221011221112000012012
421220110203120321132330
521022403442124012244
6230024453310430352
711630631264024032
oct1150244330713674
9175857157460165
1042353266235324
1112549a12708140
12490041b2023b8
131a82b852ba075
14a65ca2508552
154d6a8b88189e
hex2685236397bc

42353266235324 has 48 divisors (see below), whose sum is σ = 81094750248960. Its totient is φ = 19194702975360.

The previous prime is 42353266235321. The next prime is 42353266235347.

42353266235324 is nontrivially palindromic in base 10.

42353266235324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353266235321) 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 15 ways as a sum of consecutive naturals, for example, 246141032 + ... + 246313040.

It is an arithmetic number, because the mean of its divisors is an integer number (1689473963520).

Almost surely, 242353266235324 is an apocalyptic number.

42353266235324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42353266235324 is a deficient number, since it is larger than the sum of its proper divisors (38741484013636).

42353266235324 is a wasteful number, since it uses less digits than its factorization.

42353266235324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188498 (or 188496 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 50.

The spelling of 42353266235324 in words is "forty-two trillion, three hundred fifty-three billion, two hundred sixty-six million, two hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 347 694 1388 3817 7634 15268 16127 32254 64508 172009 177397 344018 354794 688036 709588 1892099 3784198 5596069 7568396 11192138 22384276 59687123 61556759 119374246 123113518 238748492 246227036 656558353 1313116706 2626233412 2773989143 5547978286 11095956572 30513880573 61027761146 122055522292 962574232621 1925148465242 3850296930484 10588316558831 21176633117662 42353266235324