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405441014505321 = 34713349321540217
BaseRepresentation
bin101110000101111110001011…
…1101001011001111101101001
31222011112210010101222100201110
41130023330113221121331221
5411120221144203132241
63554145010350540533
7151254101205062664
oct13413742751317551
91864483111870643
10405441014505321
11108205628954443
1239581227507749
131452cc0124b1c2
1472196423a66db
1531d16b7d29816
hex170bf17a59f69

405441014505321 has 16 divisors (see below), whose sum is σ = 552094053444864. Its totient is φ = 264541079313024.

The previous prime is 405441014505301. The next prime is 405441014505323. The reversal of 405441014505321 is 123505410144504.

It is a de Polignac number, because none of the positive numbers 2k-405441014505321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405441014505321.

It is not an unprimeable number, because it can be changed into a prime (405441014505323) 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 15 ways as a sum of consecutive naturals, for example, 8052405 + ... + 29592621.

It is an arithmetic number, because the mean of its divisors is an integer number (34505878340304).

Almost surely, 2405441014505321 is an apocalyptic number.

It is an amenable number.

405441014505321 is a deficient number, since it is larger than the sum of its proper divisors (146653038939543).

405441014505321 is a wasteful number, since it uses less digits than its factorization.

405441014505321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673760.

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 405441014505321 its reverse (123505410144504), we get a palindrome (528946424649825).

The spelling of 405441014505321 in words is "four hundred five trillion, four hundred forty-one billion, fourteen million, five hundred five thousand, three hundred twenty-one".

Divisors: 1 3 47 141 133493 400479 6274171 18822513 21540217 64620651 1012390199 3037170597 2875468187981 8626404563943 135147004835107 405441014505321