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442363363245 = 32537942436113
BaseRepresentation
bin1100110111111101110…
…10010011111110101101
31120021211001201012101100
412123332322103332231
524221430010110440
6535115142033313
743650114355446
oct6337672237655
91507731635340
10442363363245
1116067264a201
1271896718839
133293a21c79b
14175a65b42cd
15b790b1b230
hex66fee93fad

442363363245 has 48 divisors (see below), whose sum is σ = 769093266240. Its totient is φ = 235210687488.

The previous prime is 442363363199. The next prime is 442363363249. The reversal of 442363363245 is 542363363244.

442363363245 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 6 + 3 + 3 + 632 + 4 + 5 = 666.

It is not a de Polignac number, because 442363363245 - 26 = 442363363181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 442363363245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442363363249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72361309 + ... + 72367421.

It is an arithmetic number, because the mean of its divisors is an integer number (16022776380).

Almost surely, 2442363363245 is an apocalyptic number.

442363363245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442363363245 is a deficient number, since it is larger than the sum of its proper divisors (326729902995).

442363363245 is a wasteful number, since it uses less digits than its factorization.

442363363245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746 (or 10743 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 45.

Subtracting 442363363245 from its reverse (542363363244), we obtain a palindrome (99999999999).

The spelling of 442363363245 in words is "four hundred forty-two billion, three hundred sixty-three million, three hundred sixty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 379 1137 1895 3411 4243 5685 6113 12729 17055 18339 21215 30565 38187 55017 63645 91695 190935 275085 1608097 2316827 4824291 6950481 8040485 11584135 14472873 20851443 24121455 25937459 34752405 72364365 77812377 104257215 129687295 233437131 389061885 1167185655 9830296961 29490890883 49151484805 88472672649 147454454415 442363363245