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412041423444321 = 31129411301927187
BaseRepresentation
bin101110110101111111101111…
…0101011010101100101100001
32000000220202221020212012221210
41131223333132223111211201
5413001341313400204241
64020201114453140333
7152535003405264156
oct13553773653254541
92000822836765853
10412041423444321
1110a31a871700300
123a26847b02a6a9
13148bb454b89728
1473a6ca888a22d
1532982229ac316
hex176bfdead5961

412041423444321 has 48 divisors (see below), whose sum is σ = 604980423399744. Its totient is φ = 249264684240000.

The previous prime is 412041423444281. The next prime is 412041423444347. The reversal of 412041423444321 is 123444324140214.

It is a happy number.

It is not a de Polignac number, because 412041423444321 - 223 = 412041415055713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412041423444321.

It is not an unprimeable number, because it can be changed into a prime (412041423444821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443935890 + ... + 444863076.

It is an arithmetic number, because the mean of its divisors is an integer number (12603758820828).

Almost surely, 2412041423444321 is an apocalyptic number.

It is an amenable number.

412041423444321 is a deficient number, since it is larger than the sum of its proper divisors (192938999955423).

412041423444321 is a wasteful number, since it uses less digits than its factorization.

412041423444321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929454 (or 929443 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 412041423444321 its reverse (123444324140214), we get a palindrome (535485747584535).

The spelling of 412041423444321 in words is "four hundred twelve trillion, forty-one billion, four hundred twenty-three million, four hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 11 33 121 363 941 1301 2823 3903 10351 14311 31053 42933 113861 157421 341583 472263 927187 1224241 2781561 3672723 10199057 13466651 30597171 40399953 112189627 148133161 336568881 444399483 872482967 1206270287 2617448901 3618810861 9597312637 13268973157 28791937911 39806919471 105570439007 145958704727 316711317021 437876114181 1135100340067 3405301020201 12486103740737 37458311222211 137347141148107 412041423444321